M FilterLab®2.0 User’s Guide 2003 Microchip Technology Inc. DS51419A Note the following details of the code protection feature on Microchip devices: • Microchip products meet the specification contained in their particular Microchip Data Sheet. • Microchip believes that its family of products is one of the most secure families of its kind on the market today, when used in the intended manner and under normal conditions. • There are dishonest and possibly illegal methods used to breach the code protection feature. All of these methods, to our knowledge, require using the Microchip products in a manner outside the operating specifications contained in Microchip's Data Sheets. Most likely, the person doing so is engaged in theft of intellectual property. • Microchip is willing to work with the customer who is concerned about the integrity of their code. • Neither Microchip nor any other semiconductor manufacturer can guarantee the security of their code. Code protection does not mean that we are guaranteeing the product as “unbreakable.” Code protection is constantly evolving. We at Microchip are committed to continuously improving the code protection features of our products. Attempts to break microchip’s code protection feature may be a violation of the Digital Millennium Copyright Act. If such acts allow unauthorized access to your software or other copyrighted work, you may have a right to sue for relief under that Act. Information contained in this publication regarding device applications and the like is intended through suggestion only and may be superseded by updates. It is your responsibility to ensure that your application meets with your specifications. No representation or warranty is given and no liability is assumed by Microchip Technology Incorporated with respect to the accuracy or use of such information, or infringement of patents or other intellectual property rights arising from such use or otherwise. Use of Microchip’s products as critical components in life support systems is not authorized except with express written approval by Microchip. No licenses are conveyed, implicitly or otherwise, under any intellectual property rights. Trademarks The Microchip name and logo, the Microchip logo, Accuron, dsPIC, KEELOQ, MPLAB, PIC, PICmicro, PICSTART, PRO MATE and PowerSmart are registered trademarks of Microchip Technology Incorporated in the U.S.A. and other countries. AmpLab, FilterLab, microID, MXDEV, MXLAB, PICMASTER, SEEVAL and The Embedded Control Solutions Company are registered trademarks of Microchip Technology Incorporated in the U.S.A. Application Maestro, dsPICDEM, dsPICDEM.net, ECAN, ECONOMONITOR, FanSense, FlexROM, fuzzyLAB, In-Circuit Serial Programming, ICSP, ICEPIC, microPort, Migratable Memory, MPASM, MPLIB, MPLINK, MPSIM, PICkit, PICDEM, PICDEM.net, PowerCal, PowerInfo, PowerMate, PowerTool, rfLAB, rfPIC, Select Mode, SmartSensor, SmartShunt, SmartTel and Total Endurance are trademarks of Microchip Technology Incorporated in the U.S.A. and other countries. Serialized Quick Turn Programming (SQTP) is a service mark of Microchip Technology Incorporated in the U.S.A. All other trademarks mentioned herein are property of their respective companies. © 2003, Microchip Technology Incorporated, Printed in the U.S.A., All Rights Reserved. Printed on recycled paper. Microchip received QS-9000 quality system certification for its worldwide headquarters, design and wafer fabrication facilities in Chandler and Tempe, Arizona in July 1999 and Mountain View, California in March 2002. The Company’s quality system processes and procedures are QS-9000 compliant for its PICmicro® 8-bit MCUs, KEELOQ® code hopping devices, Serial EEPROMs, microperipherals, non-volatile memory and analog products. In addition, Microchip’s quality system for the design and manufacture of development systems is ISO 9001 certified. DS51419A-page ii 2003 Microchip Technology Inc. M FilterLab® 2.0 User’s Guide Table of Contents General Information Introduction .......................................................................................... 1 About This Guide ................................................................................. 2 The Microchip Internet Web Site .......................................................... 2 Customer Support ................................................................................ 3 Chapter 1. Dialog Boxes 1.1 Dialog Boxes ................................................................................ 5 Chapter 2. Wizards 2.1 Anti-Aliasing Wizard ................................................................... 19 2.2 Filter Selection Wizard ............................................................... 25 Chapter 3. Toolbar 3.1 Buttons ....................................................................................... 35 3.2 Approximation Combo Box ........................................................ 38 3.3 Frequency Textboxes ................................................................. 39 Chapter 4. Menus 4.1 File ............................................................................................. 41 4.2 Edit ............................................................................................. 44 4.3 View ........................................................................................... 45 4.4 Filter ........................................................................................... 46 4.5 Window ...................................................................................... 47 4.6 Help ............................................................................................ 47 2003 Microchip Technology Inc. DS51419A-page iii FilterLab® 2.0 User’s Guide Chapter 5. Window Views 5.1 Frequency View ..........................................................................49 5.2 Circuit View .................................................................................50 5.3 Spice Listing View ......................................................................51 Appendix A. FilterLab 2.0 to SPICE Interface A.1 Introduction And Highlights......................................................... 53 Appendix B. Filter Magnitude Templates B.1 Introduction................................................................................. 57 Appendix C. Group Delay C.1 Introduction................................................................................. 63 Appendix D. Bessel Filter Response D.1 Introduction................................................................................. 65 Appendix E. Op Amp Selection E.1 Introduction................................................................................. 67 Appendix F. Selected References F.1 Introduction................................................................................. 71 Worldwide Sales and Service ................................................................. 72 DS51419A-page iv 2003 Microchip Technology Inc. M FilterLab® 2.0 User’s Guide General Information INTRODUCTION FilterLab® 2.0 is an innovative software tool that simplifies active filter design. Available at no cost from Microchip’s web site (www.microchip.com), the FilterLab 2.0 active filter software design tool provides full schematic diagrams of the filter circuit with recommended component values and displays the frequency response. FilterLab 2.0 allows the design of low-pass filters up to an 8th order filter with Chebychev, Bessel or Butterworth responses from frequencies of 0.1 Hz to 1 MHz. FilterLab 2.0 also can be used to design band-pass and high-pass filters with Chebychev and Butterworth responses. The circuit topologies supported by FilterLab 2.0 are the Sallen Key and Multiple Feedback (MFB). The low-pass filters can use either the Sallen Key or MFB, the band-pass is available with the MFB and the high-pass uses the Sallen Key. Users can select a flat pass band or sharp transition from pass band to stopand. Options (such as minimum ripple factor, sharp transition and linear phase delay) are available. Once the filter response has been identified, FilterLab 2.0 generates the frequency response and the circuit. For maximum design flexibility, changes in capacitor values can be implemented to fit the demands of the application. FilterLab 2.0 will recalculate all values to meet the desired response, allowing real-world values to be substituted or changed as part of the design process. FilterLab 2.0 also generates a SPICE model of the designed filter. Extraction of this model will allow time domain analysis in SPICE simulations, streamlining the design process. Further consideration is given to designs used in conjuction with an Analog-to-Digital Converter (ADC). A suggested filter can be generated by simply inputting the bit resolution and sample rate via the Anti-Aliasing Wizard. This eliminates erroneous signals folded back into the digital data due to the aliasing effect. This section also covers the following topics: • About This Guide • The Microchip Internet Web Site • Customer Support 2003 Microchip Technology Inc. DS51419A-page 1 FilterLab® 2.0 User’s Guide ABOUT THIS GUIDE Document Layout The User’s Guide layout is as follows: • General Information – this section describes how to use the FilterLab® 2.0 User’s Guide. • Chapter 1: Dialog Boxes – this section describes the dialog boxes and their uses. • Chapter 2: Wizards – this section describes the Filter Selection Wizard and helps you design a filter. • Chapter 3: Toolbars – this section describes the toolbars and their functions. • Chapter 4: Menus – this section describes the menus and their functions. • Chapter 5: Window Views – this section describes the window views and how they are used. • Worldwide Sales and Service – this section gives the address, telephone and fax number for Microchip Technology Inc. sales and service locations throughout the world. THE MICROCHIP INTERNET WEB SITE Microchip provides on-line support on the Microchip World Wide Web (WWW) site. The web site is used by Microchip as a means to make files and information easily accessible to customers. To view the site, the user must have access to the internet and a web browser, such as Netscape® Communicator or Microsoft® Internet Explorer ®. Files are also available for FTP download from our FTP site. Connecting to the Microchip Internet Web Site The Microchip web site is available by using your favorite Internet browser to connect to: http://www.microchip.com The file transfer site is available by using an FTP program/client to connect to: ftp://ftp.microchip.com The web site and file transfer site provide a variety of services. Users may download files for the latest Development Tools, Data Sheets, Application Notes, User's Guides, Articles and Sample Programs. A variety of Microchip specific business information is also available, including listings of Microchip sales offices, distributors and factory representatives. Other data available for consideration is: • • • • • • • • • DS51419A-page 2 Latest Microchip Press Releases Technical Support Section with Frequently Asked Questions Design Tips Device Errata Job Postings Microchip Consultant Program Member Listing Links to other useful web sites related to Microchip Products Conferences for products, Development Systems, technical information and more Listing of seminars and events 2003 Microchip Technology Inc. FilterLab® 2.0 User’s Guide CUSTOMER SUPPORT Users of Microchip products can receive assistance through several channels: • • • • • Distributor or Representative Local Sales Office Field Application Engineer (FAE) Corporate Applications Engineer (CAE) Hot Line Customers should call their distributor, representative or field application engineer (FAE) for support. Local sales offices are also available to help customers. See the back cover for a listing of sales offices and locations. Corporate Applications Engineers (CAEs) may be contacted at (480) 792-7627. In addition, there is a Systems Information and Upgrade Line. This line provides system users a listing of the latest versions of all of Microchip's development systems software products. Plus, this line provides information on how customers can receive any currently available upgrade kits. The Hot Line numbers are: • 1-800-755-2345 for U.S. and most of Canada, and • 1-480-792-7302 for the rest of the world 2003 Microchip Technology Inc. DS51419A-page 3 FilterLab® 2.0 User’s Guide NOTES: DS51419A-page 4 2003 Microchip Technology Inc. M FilterLab® 2.0 User’s Guide Chapter 1. Dialog Boxes 1.1 DIALOG BOXES 1.1.1 Filter Design Dialog The Filter Design dialog enables the user to create a filter by specifying all aspects of the filter. 1.1.2 Filter Specification Tab The Filter Specification tab enables the user to specify the approximation type, the selectivity and the gain. Select any approximation, the selectivity for the approximation and the overall filter gain. The maximum allowed gain is 10 V/V. After specifying the approximation, selectivity and gain, select OK or the Filter Parameters tab. Note: Bessel approximations only support low-pass selectivities. Therefore, when the Bessel approximation is selected, the only available selectivity will be low-pass. FIGURE 1-1: 2003 Microchip Technology Inc. Filter Specification Tab DS51419A-page 5 FilterLab® 2.0 User’s Guide FIGURE 1-2: DS51419A-page 6 Filter Specification Tab with Bessel Selected 2003 Microchip Technology Inc. FilterLab® 2.0 User’s Guide 1.1.3 Filter Parameters Tab Figures 1-4, 1-5 and 1-6 demonstrate the location of the pass band and stop band upper and lower frequencies. For all selectivities, a pass and a stop represent the pass band and stop band attenuations. For low-pass selectivities (Figure 1-4), fpass and fstop represent the pass band and stop band frequencies. For high-pass selectivities (Figure 1-5), fpass and fstop represent the pass band and stop band frequencies. For low-pass selectivities (Figure 1-6), fpass upper and fpass lower represent the pass band and upper and lower frequencies, while fstop upper and fstop lower represent the stop band and upper and lower frequencies. FIGURE 1-3: Filter Parameters Tab The Filter Parameters tab enables the user to modify the filter’s parameters. Figures 1-4, 1-5 and 1-6 provide a simplified representation of the filter specification parameters. A detailed discussion of the filter specification is provided in Appendix B, “Filter Magnitude Templates”. 2003 Microchip Technology Inc. DS51419A-page 7 FilterLab® 2.0 User’s Guide Attenuation (dB) Pass Band Transition Region Stop Band a pass a stop f stop f pass FIGURE 1-4: Frequency (Hz) Parameter Definitions for Low-pass Selectivity Attenuation (dB) Stop Band Transition Region Pass Band a pass a stop f pass FIGURE 1-5: DS51419A-page 8 f stop Frequency (Hz) Parameter Definitions for High-pass Selectivity 2003 Microchip Technology Inc. FilterLab® 2.0 User’s Guide Attenuation (dB) Stop Band Transition Region Pass Band Transition Region Stop Band a pass a stop f stop lower FIGURE 1-6: 2003 Microchip Technology Inc. f pass lower Frequency (Hz) f pass upper f stop upper Parameter Definitions for Band-pass Selectivity DS51419A-page 9 FilterLab® 2.0 User’s Guide 1.1.3.1 FILTER ORDER The Force Filter Order option enables the user to specify the filter order or have the program calculate the filter order based on the dialog entries. To force the filter order, select the Force Filter Order checkbox. When the checkbox is selected, the user specifies the Pass Band Attenuation and the Pass Band frequencies. FilterLab 2.0 then calculates the Stop Band Attenuation and Stop Band frequencies based on the order. When the checkbox is not selected, the user specifies the attenuation and all frequency values. FilterLab 2.0 then calculates the order based on the attenuation and frequency values. Note: Bessel approximations only support forced filter orders. When the Bessel approximation is selected, the Force Filter Order checkbox will be checked and disabled. FIGURE 1-7: DS51419A-page 10 Filter Parameters Tab with Force Filter Order Selected 2003 Microchip Technology Inc. FilterLab® 2.0 User’s Guide FIGURE 1-8: 1.1.3.2 Filter Parameters Tab with Bessel Approximation Selected PASS BAND ATTENUATION The Pass Band Attenuation is the change in magnitude of the frequencies in the pass band. The Pass Band Attenuation for each selectivity (low-pass, high-pass, band-pass) is shown in Figures 1-4, 1-5 and 1-6. The allowable range is -0.01 dB to -3 dB. If a value beyond this range is entered in the Filter Parameters tab, the error message shown in Figure 1-9 will appear. FIGURE 1-9: 2003 Microchip Technology Inc. Error Message DS51419A-page 11 FilterLab® 2.0 User’s Guide 1.1.3.3 STOP BAND ATTENUATION The Stop Band Attenuation is the minimum reduction in magnitude of the frequencies in the stop band relative to the pass band. The Stop Band Attenuation for each selectivity is shown in Figures 1-4, 1-5 and 1-6. The allowable range is -10 dB to -100 dB. If a value beyond this range is entered in the Filter Parameters tab, the error message shown in Figure 1-10 will appear. FIGURE 1-10: 1.1.3.4 Error Message PASS BAND FREQUENCY The Pass Band Frequency is the starting point of the pass band, as shown in Figures 1-4, 1-5 and 1-6. The allowable range is 0.1 Hz to 1,000,000 Hz. If a value beyond this range is entered in the Filter Parameters tab, the error message shown in Figure 1-11 will appear. FIGURE 1-11: 1.1.3.4.1 Error Message Low-pass The Pass Band Frequency must be lower than the Stop Band Frequency for low-pass filters. If a value is entered in the Filter Parameters tab which is larger than the Stop Band Frequency, the error message shown in Figure 1-12 will appear. FIGURE 1-12: DS51419A-page 12 Error Message 2003 Microchip Technology Inc. FilterLab® 2.0 User’s Guide 1.1.3.4.2 High-pass The Pass Band Frequency must be greater than the Stop Band Frequency for high-pass selectivities. If a value is entered in the Filter Parameters tab that is smaller than the Stop Band Frequency, the error message shown in Figure 1-13 will appear. FIGURE 1-13: 1.1.3.4.3 Error Message Band-pass The Pass Band Lower Frequency must be lower than the Pass Band Upper Frequency and both Stop Band Frequencies for band-pass selectivities. If a value is entered in the Filter Parameters tab that is greater than the Stop Band Frequency or Pass Band Upper Frequency, the error message shown in Figures 1-14 and 1-15 will appear. FIGURE 1-14: Error Message FIGURE 1-15: Error Message 2003 Microchip Technology Inc. DS51419A-page 13 FilterLab® 2.0 User’s Guide 1.1.3.5 STOP BAND FREQUENCY The Stop Band Frequency is the starting point of the stop band, as shown in Figures 1-4, 1-5 and 1-6. The allowable range is 0.1 Hz to 1,000,000 Hz. If a value beyond this range is entered in the Filter Parameters tab, the error message shown in Figure 1-16 will appear. FIGURE 1-16: 1.1.3.5.4 Error Message Low-pass The Stop Band Frequency must be greater than the Pass Band Frequency for low-pass selectivities. If a value is entered in the Filter Parameters tab that is smaller than the Pass Band Frequency, the error message shown in Figure 1-17 will appear. FIGURE 1-17: 1.1.3.5.5 Error Message High-pass The Pass Band Frequency must be greater than the Stop Band Frequency for High-pass selectivities. If a value is entered in the Filter Parameters tab that is smaller than the Stop Band Frequency, the error message shown in Figure 1-18 will appear. FIGURE 1-18: DS51419A-page 14 Error Message 2003 Microchip Technology Inc. FilterLab® 2.0 User’s Guide 1.1.3.5.6 Band-pass The Pass Band Lower Frequency must be lower than the Pass Band Upper Frequency and both Stop Band Frequencies for band-pass selectivities. If a value is entered in the Filter Parameters tab that is greater than the Stop Band Frequency or Pass Band Upper Frequency, the error message shown in Figures 1-19 and 1-20 will appear. FIGURE 1-19: Error Message FIGURE 1-20: Error Message 2003 Microchip Technology Inc. DS51419A-page 15 FilterLab® 2.0 User’s Guide 1.1.4 Circuit Tab The Circuit tab enables the user to modify the circuit topology and component values. FIGURE 1-21: 1.1.4.1 Circuit Tab RESISTOR SELECTION The Resistor Selection enables the user to change from standard 1% resistors to the exact calculated value. Changing the Resistor Selection affects all stages. 1.1.4.2 TOPOLOGY SELECTION The Topology Selection enables the user to change the topology for Low-pass selectivities. Note: 1.1.4.3 Band-pass selectivities only support Multiple Feedback (MFB) topologies, while the high-pass selectivities only support Sallen Key topologies. Changing the topology only affects the stage for the active tab. CAPACITOR SELECTION The Capacitor Selection enables the user to change the value of a capacitor from the default value calculated by FilterLab 2.0. FilterLab 2.0 automatically scales the other resistors and capacitors of the filter section to maintain the desired filter specifications. Changing the capacitor value only affects the capacitor that is selected. The capacitor combo box is disabled unless a capacitor has been selected (Figure 1-21). To modify a capacitor's value, select the appropriate stage tab, then select the capacitor to be modified by left-clicking it with the mouse. When a capacitor is selected, it will be highlighted and the capacitor combo box will be enabled (Figure 1-22). Select “Automatic” from the combo box to automatically calculate the capacitor value. Select a value to force the capacitor to that value. DS51419A-page 16 2003 Microchip Technology Inc. FilterLab® 2.0 User’s Guide FIGURE 1-22: 1.1.5 Capacitor Selected Cancel To cancel changes made to the Specification, Parameters or Circuit tabs, select Cancel. 1.1.6 OK To implement changes made to the Specification, Parameters or Circuit tabs, select OK. 2003 Microchip Technology Inc. DS51419A-page 17 FilterLab® 2.0 User’s Guide NOTES: DS51419A-page 18 2003 Microchip Technology Inc. M FilterLab® 2.0 User’s Guide Chapter 2. Wizards 2.1 ANTI-ALIASING WIZARD The Anti-Aliasing Wizard assists the user in designing a low-pass filter used with an A/D converter. The wizard prompts the user for the bandwidth, the sampling frequency, the resolution and the signal-to-noise ratio of the A/D converter. FIGURE 2-1: 2003 Microchip Technology Inc. Anti-Aliasing Wizard DS51419A-page 19 FilterLab® 2.0 User’s Guide 2.1.1 Anti-Aliasing Wizard Filter Bandwidth Page The Cut-off Frequency (Figure 2-2) determines the bandwidth of the anti-aliasing filter. The frequency range is limited to values from 0.1 Hz to 1 MHz. If a value outside this range is entered, the error message shown in Figure 2-3 will appear. DS51419A-page 20 FIGURE 2-2: Filter Bandwidth FIGURE 2-3: Error Message 2003 Microchip Technology Inc. FilterLab® 2.0 User’s Guide 2.1.2 Anti-Aliasing Wizard Sampling Frequency Page Enter the Sampling Frequency of the A/D converter. The Sampling Frequency must be greater than 2 * cut-off frequency. If a value which is less than 2 * cut-off frequency is entered, the error message shown in Figure 2-5 will appear. FIGURE 2-4: Sampling Frequency FIGURE 2-5: Error Message 2003 Microchip Technology Inc. DS51419A-page 21 FilterLab® 2.0 User’s Guide 2.1.3 Anti-Aliasing Wizard Resolution Page Enter the Resolution of the A/D converter. The Resolution must be between 8 and 24 bits. If a value outside this range is entered, the error message shown in Figure 2-7 will appear. DS51419A-page 22 FIGURE 2-6: Resolution FIGURE 2-7: Error Message 2003 Microchip Technology Inc. FilterLab® 2.0 User’s Guide 2.1.4 Anti-Aliasing Wizard Signal-to-Noise Page Enter the desired Signal to Noise Ratio. The default value is 6.02 * bits + 1.76. Decreasing the value will decrease the order of the filter, while increasing the value will increase the filter order. FIGURE 2-8: 2003 Microchip Technology Inc. Signal to Noise Ratio DS51419A-page 23 FilterLab® 2.0 User’s Guide 2.1.5 Anti-Aliasing Wizard Completion Page The completion page summarizes the selections and presents the filter options. If the previous settings cause a filter to have a higher order than allowed by the program, the radio button for that option will be disabled. Note: Filters with an order greater than 8 typically are not practical. If the calculated filter order is greater than 8, the user should evaluate increasing the sampling rate. FIGURE 2-9: DS51419A-page 24 Completion Page 2003 Microchip Technology Inc. FilterLab® 2.0 User’s Guide 2.2 FILTER SELECTION WIZARD The Filter Selection Wizard allows the specification of the selectivity, attenuation and frequencies, then presents a table of data showing the order, frequencies and attenuations for each approximation. FIGURE 2-10: 2003 Microchip Technology Inc. Filter Selection Wizard DS51419A-page 25 FilterLab® 2.0 User’s Guide 2.2.1 Filter Selection Wizard Selectivity Page The Filter Selectivity page allows the modification of the selectivity. The response of the selected selectivity is displayed in the property page. FIGURE 2-11: DS51419A-page 26 Filter Selectivity 2003 Microchip Technology Inc. FilterLab® 2.0 User’s Guide 2.2.2 Filter Selection Wizard Specification Page The Filter Specification page allows the modification of the filter parameters, attenuations and frequencies. The values are defined in Figures 1-4, 1-5 and 1-6. The response of the selectivity is displayed in the property page. FIGURE 2-12: 2.2.2.1 Filter Specification – Filter Parameters PASS BAND ATTENUATION The Pass Band Attenuation is the change in magnitude of the frequencies in the pass band. The Pass Band Attenuation for each selectivity is shown in Figures 1-4, 1-5 and 1-6. The allowable range is -0.01 dB to -3 dB. If a value beyond this range is entered, the error message shown in Figure 2-13 will appear. FIGURE 2-13: 2003 Microchip Technology Inc. Error Message DS51419A-page 27 FilterLab® 2.0 User’s Guide 2.2.2.2 STOP BAND ATTENUATION The Stop Band Attenuation is the change in magnitude of the frequencies in the stop band. The Stop Band Attenuation for each selectivity is shown in Figures 1-4, 1-5 and 1-6. The allowable range is -10 dB to -100 dB. If a value beyond this range is entered, the error message shown in Figure 2-14 will appear. FIGURE 2-14: 2.2.2.3 Error Message PASS BAND FREQUENCY The Pass Band Frequency is the starting point of the pass band, as shown in Figures 1-4, 1-5 and 1-6. The allowable range is 0.1 Hz to 1,000,000 Hz. If a value beyond this range is entered, the error message shown in Figure 2-15 will appear. FIGURE 2-15: 2.2.2.3.1 Error Message Low-pass The Pass Band Frequency must be lower than the Stop Band Frequency for low-pass selectivities. If a value is entered which is larger than the Stop Band Frequency, the error message shown in Figure 2-16 will appear. FIGURE 2-16: DS51419A-page 28 Error Message 2003 Microchip Technology Inc. FilterLab® 2.0 User’s Guide 2.2.2.3.2 High-pass The Pass Band Frequency must be greater than the Stop Band Frequency for high-pass selectivities. If a value is entered that is smaller than the Stop Band Frequency, the error message shown in Figure 2-17 will appear. FIGURE 2-17: 2.2.2.3.3 Error Message Band-pass The Pass Band Lower Frequency must be lower than the Pass Band Upper Frequency and both Stop Band Frequencies for band-pass selectivities. If a value is entered that is greater than the Stop Band Frequency or Pass Band Upper Frequency, the error message shown in Figures 2-18 and 2-19 will appear. FIGURE 2-18: Error Message FIGURE 2-19: Error Message 2003 Microchip Technology Inc. DS51419A-page 29 FilterLab® 2.0 User’s Guide 2.2.2.4 STOP BAND FREQUENCY The Stop Band Frequency is the starting point of the stop band, as shown in Figures 1-4, 1-5 and 1-6. The allowable range is 0.1 Hz to 1,000,000 Hz. If a value beyond this range is entered, the error message shown in Figure 2-20 will appear. FIGURE 2-20: 2.2.2.4.4 Error Message Low-pass The Stop Band Frequency must be greater than the Pass Band Frequency for low-pass selectivities. If a value is entered that is smaller than the Pass Band Frequency, the error message shown in Figure 2-21 will appear. FIGURE 2-21: 2.2.2.4.5 Error Message High-pass The Pass Band Frequency must be greater than the Stop Band Frequency for high-pass selectivities. If a value is entered that is smaller than the Stop Band Frequency, the error message shown in Figure 2-22 will appear. FIGURE 2-22: DS51419A-page 30 Error Message 2003 Microchip Technology Inc. FilterLab® 2.0 User’s Guide 2.2.2.4.6 Band-pass The Pass Band Lower Frequency must be lower than the Pass Band Upper Frequency and both Stop Band Frequencies for band-pass selectivities. If a value is entered that is greater than the Stop Band Frequency or Pass Band Upper Frequency, the error message shown in Figures 2-23 and 2-24 will appear. FIGURE 2-23: Error Message FIGURE 2-24: Error Message 2003 Microchip Technology Inc. DS51419A-page 31 FilterLab® 2.0 User’s Guide 2.2.3 Filter Selection Wizard Approximation Page The Filter Approximation page summarizes the filter settings and lists the calculated Order and Stop Band Attenuation for each approximation. Note: If the calculated order for either approximation exceeds 8, the approximation will be disabled. The user should consider modifying either the pass band or stop band frequencies so that a more practical filter can be produced. FIGURE 2-25: DS51419A-page 32 Filter Approximation 2003 Microchip Technology Inc. FilterLab® 2.0 User’s Guide 2.2.4 Filter Selection Wizard Completion Page The Filter Completion page summarizes all selections made. To implement the filter, click the Finish button. FIGURE 2-26: 2003 Microchip Technology Inc. Completion Page DS51419A-page 33 FilterLab® 2.0 User’s Guide NOTES: DS51419A-page 34 2003 Microchip Technology Inc. M FilterLab® 2.0 User’s Guide Chapter 3. Toolbar 3.1 TOOLBAR The toolbar provides a shortcut to FilterLab 2.0 program settings. Options available on the toolbar can also be accessed from the menus or dialog boxes. Filter Design Filter Selection Wizard Circuit Anti-aliasing Configuration Wizard Zoom Zoom Out In Button Button Filter Order Low-pass Band-pass Button Button Filter Order fSL FIGURE 3-1: 3.2 High-pass Button Approximation Combo Box Overlay fPL fPH fSH Toolbar BUTTONS 3.2.1 Filter Design The Filter Design toolbar button (Figure 3-2) opens the Filter Design dialog box. FIGURE 3-2: 3.2.2 Filter Design Button Circuit Configuration The Circuit Configuration toolbar button (Figure 3-3) opens the Filter Design dialog with the Circuit tab active. FIGURE 3-3: 2003 Microchip Technology Inc. Circuit Configuration Button DS51419A-page 35 FilterLab® 2.0 User’s Guide 3.2.3 Overlay The Overlay button (Figure 3-4) enables the overlay feature. The overlay feature overlays approximations selected from the toolbar's approximation combo box (Figure 3-5) in the response view. The overlay button functions as a radio button. When the overlay feature is enabled, the overlay button will be depressed. To overlay approximations in the response view, select the first approximation to overlay from the toolbar's approximation combo box. After the first approximation has been selected, select the overlay button. Once the overlay button has been selected, any approximations selected from the toolbar's approximation combo box will be overlayed with the original approximation. A checkmark will appear next to all approximations that have been selected to be overlayed. To disable the overlay feature, select the overlay toolbar button. Note: Bessel approximations cannot be overlayed. Therefore, if you select the Bessel approximation from the toolbar's approximation combo box, it will not be overlayed with the other approximations. FIGURE 3-4: Overlay Button FIGURE 3-5: Approximation Combo Box 3.2.4 Low-pass The Low-pass toolbar button (Figure 3-6) changes the selectivity to low-pass and the frequencies to the default values with a pass band frequency of 1,000 Hz and a stop band frequency of 10,000 Hz. FIGURE 3-6: DS51419A-page 36 Low-pass Button 2003 Microchip Technology Inc. FilterLab® 2.0 User’s Guide 3.2.5 High-pass The High-pass toolbar button (Figure 3-7) changes the selectivity to high-pass and the frequencies to the default values with a pass band frequency of 10,000 Hz and a stop band frequency of 1,000 Hz. The High-pass toolbar button is disabled for Bessel approximations. FIGURE 3-7: Note: 3.2.6 High-pass Button Bessel approximations only support low-pass selectivities. The High-pass toolbar button will be disabled when Bessel approximations are selected. Band-pass The Band-pass toolbar button (Figure 3-8) changes the selectivity to band-pass and the frequencies to the default values with a lower pass band frequency of 1,000 Hz, an upper pass band frequency of 5,000 Hz, a lower stop band frequency of 100 Hz and an upper stop band frequency of 50,000 Hz. The Band-pass toolbar button is disabled for Bessel approximations. FIGURE 3-8: Note: 3.2.7 Band-pass Button Bessel approximations only support low-pass selectivities. The Band-pass toolbar button will be disabled when Bessel approximations are selected. Zoom-In The Zoom-In button (Figure 3-9) zooms the response view towards the center of the response. The zoom button has no affect on the Circuit or the SPICE views. FIGURE 3-9: 3.2.8 Zoom-In Button Zoom-Out The Zoom-Out button (Figure 3-10) zooms the response view out from the center of the response. The Zoom-Out button has no affect unless the response has been previously zoomed with the Zoom-In button (Figure 3-9). The zoom button has no affect on the Circuit or the SPICE views. FIGURE 3-10: 2003 Microchip Technology Inc. Zoom-Out Button DS51419A-page 37 FilterLab® 2.0 User’s Guide 3.2.9 Filter Order The Filter Order button (Figure 3-11) displays the filter's order and modifies that order. Selecting the Filter Order arrow buttons will increase or decrease the order of the filter. When the minimum or maximum order of the program is reached, the order will automatically roll over. If the current design filter had the order automatically calculated and one of the Filter Order arrow buttons is selected, the program automatically sets the Force Filter Order flag (Figure 1-7) and forces the filter order to the value in the Force Filter Order text box. Band-pass selectivities only have even order selectivities. Therefore, the order will increment by two when a band-pass selectivity is selected. FIGURE 3-11: 3.3 Filter Order APPROXIMATION COMBO BOX The Approximation combo box (Figure 3-12) changes the filter approximation. Selecting All will enable the overlay feature and overlay all approximations, excluding the Bessel approximation. The Bessel approximation is only available for low-pass selectivities and forced filter orders. Therefore, when the Bessel approximation is selected, the selectivity will be changed to low-pass and the Force Filter Order flag will be enabled. FIGURE 3-12: Note: DS51419A-page 38 Filter Approximation Bessel approximations only support low-pass selectivities. Choosing a selectivity other than low-pass changes the selectivity to low-pass and resets the frequency values. 2003 Microchip Technology Inc. FilterLab® 2.0 User’s Guide 3.4 FREQUENCY TEXT BOXES The frequency text boxes provide a shortcut for modifying the pass band and stop band frequencies. The range of values is limited to 0.1 Hz to 1,000,000 Hz. The text boxes are enabled and disabled depending on the currently specified selectivity and whether the filter order is forced or calculated by the program. If the frequency order is forced, there is only one frequency value that can be adjusted for low-pass and high-pass selectivities and only two frequencies that can be adjusted for band-pass selectivities. Therefore, only one text box will be enabled for low-pass and high-pass selectivities and two text boxes will be enabled for band-pass selectivities. 3.4.1 Low-pass When the Low-pass selectivity is specified, the left-most enabled text box represents the filter's pass band frequency and the rightmost enabled text box represents the filter's stop band frequency (Figure 3-13). When the filter order is forced only, the filter's pass band frequency can be modified. Therefore, only the left most text box is enabled (Figure 3-14). FIGURE 3-13: Frequency Text Boxes - Order Unforced FIGURE 3-14: Frequency Text Boxes - Order Forced 3.4.2 High-pass When the High-pass selectivity is specified, the leftmost enabled text box represents the filter's stop band frequency and the right most enabled text box represents the filter's pass band frequency (Figure 3-15). When the filter order is forced only, the filter's pass band frequency can be modified. Therefore, only the right most text box is enabled (Figure 3-16). FIGURE 3-15: Frequency Text Boxes - Order Unforced FIGURE 3-16: Frequency Text Boxes - Order Forced 2003 Microchip Technology Inc. DS51419A-page 39 FilterLab® 2.0 User’s Guide 3.4.3 Band-pass When the band-pass selectivity is specified, the left most text box represents the filter's lower stop band frequency. The second textbox represents the filter's lower pass band, while the third text box represents the filter's upper pass band. The right most text box represents the filter's pass band frequency (Figure 3-17). When the filter order is forced, only the filter's lower and upper pass band frequencies can be modified. Therefore, only the center text boxes are enabled (Figure 3-18). DS51419A-page 40 FIGURE 3-17: Frequency Text Boxes - Order Unforced FIGURE 3-18: Frequency Text Boxes - Order Forced 2003 Microchip Technology Inc. M FilterLab® 2.0 User’s Guide Chapter 4. Menus 4.1 4.2 MENUS FIGURE 4-1: Menu Bar FIGURE 4-2: File Menu FILE 4.2.1 New The New menu item (Figure 4-2) creates a new project with filter properties that are independent of the original project. When selected, a new window will open for the new project. 2003 Microchip Technology Inc. DS51419A-page 41 FilterLab® 2.0 User’s Guide 4.2.2 Open The Open menu item (Figure 4-2) opens a saved project. Select Open, then select the previously saved project in the Open Project dialog box (Figure 4-3). FIGURE 4-3: 4.2.3 Open Project Dialog Close The Close menu item (Figure 4-2) closes the currently active project. 4.2.4 Save The Save menu item (Figure 4-2) saves the currently active project and changes the title bar's file name (Figure 4-5) and spice listing's macro-model title (Figure 4-6), to the specified file name in the Save File dialog box (Figure 4-4). FIGURE 4-4: DS51419A-page 42 Save Project Dialog 2003 Microchip Technology Inc. FilterLab® 2.0 User’s Guide FIGURE 4-5: Title Bar Filename FIGURE 4-6: SPICE Listing Model Title 4.2.5 Print The Print menu item (Figure 4-2) prints the active view. 4.2.6 Print Preview The Print Preview menu item (Figure 4-2) previews the active view. 4.2.7 Print Setup The Print Setup menu item (Figure 4-2) opens the Print Setup dialog box (Figure 4-7). FIGURE 4-7: 4.2.8 Print Setup Dialog Exit The Exit menu item (Figure 4-2) exits the program. 2003 Microchip Technology Inc. DS51419A-page 43 FilterLab® 2.0 User’s Guide 4.3 EDIT FIGURE 4-8: 4.3.1 Edit Menu Select All The Select All menu item (Figure 4-8) selects the text in the SPICE listing for copying and pasting. The Select All menu item is only available when the SPICE view has focus. 4.3.2 Copy The Copy menu item (Figure 4-8) copies the active view or SPICE listing to the clipboard. It is enabled for the Response and Circuit views and is disabled for the SPICE view unless text has been selected. DS51419A-page 44 2003 Microchip Technology Inc. FilterLab® 2.0 User’s Guide 4.4 VIEW FIGURE 4-9: 4.4.1 View Menu Filter Views The Filter View menu items (Figures 4-9 and 4-10) change the current view. FIGURE 4-10: 4.4.2 Filter View Menu Group Delay The Group Delay menu item (Figure 4-9) changes the Response view's auxiliary data to group delay. The Group Delay menu item is enabled only when the Response view has focus. 4.4.3 Phase\Radians The Phase\Radians menu item (Figure 4-9) changes the Response view's auxiliary data to radians. The Phase\Radians menu item is enabled only when the Response view has focus. 4.4.4 Phase\Degrees The Phase\Degrees menu item (Figure 4-9) changes the Response view's auxiliary data to phase. The Phase\Degrees menu item is enabled only when the Response view has focus. 2003 Microchip Technology Inc. DS51419A-page 45 FilterLab® 2.0 User’s Guide 4.5 FILTER FIGURE 4-11: 4.5.1 Filter Menu Design The Design menu item (Figure 4-11) opens the Filter Design dialog box (Figure 1-1) with the Filter Specification tab active. 4.5.2 Filter Selection Wizard The Filter Selection Wizard menu item (Figure 4-11) opens the Filter Selection Wizard dialog box (Figure 2-10). 4.5.3 Anti-Aliasing Wizard The Anti-Aliasing Wizard menu item (Figure 4-11) opens the Anti-Aliasing Wizard dialog box (Figure 2-1). 4.5.4 Overlay The Overlay menu item is used to display both the frequency and phase or group delay response of the filter. DS51419A-page 46 2003 Microchip Technology Inc. FilterLab® 2.0 User’s Guide 4.6 WINDOW FIGURE 4-12: 4.6.1 Window Menu New Window The New Window menu item (Figure 4-12) creates a new window for the current project and changes to the filter design are represented in both windows. When a new window is created, the title bar will change to [ProjectName]:[Window Number]. The view listing in the View menu will have a new listing in the form [Project Name]:[Window Number]. 4.6.2 Cascade The Cascade menu item (Figure 4-12) cascades all windows. 4.6.3 Tile The Tile menu item tiles all windows. 4.6.4 Arrange Icons The Arrange Icons menu item (Figure 4-12) arranges the minimized window icons at the bottom of the main window. 4.7 HELP FIGURE 4-13: 4.7.1 Help Menu About The About FilterLab menu item (Figure 4-13) opens the About dialog box. 2003 Microchip Technology Inc. DS51419A-page 47 FilterLab® 2.0 User’s Guide NOTES: DS51419A-page 48 2003 Microchip Technology Inc. M FilterLab® 2.0 User’s Guide Chapter 5. Window Views 5.1 FREQUENCY VIEW The Frequency View displays the filter response. Menu available by right clicking the mouse button FIGURE 5-1: 5.1.1 Frequency View Axes The left axis displays the attenuation of the filter. The default left axis scale is +10 dB to -80 dB. The right axis displays either the phase in degrees or radians, or the group delay. The frequency range is automatically set to three decades when the filter order is forced. 2003 Microchip Technology Inc. DS51419A-page 49 FilterLab® 2.0 User’s Guide 5.1.2 Pop-up Menu 5.1.2.1 PHASE/GROUP DELAY The Phase/Group Delay pop-up menu item (Figure 5-1) changes the right axis to one of the three right axis options. These options are: • Group Delay • Phase/Radians • Phase/Degrees 5.1.2.2 SAVE AS JPEG The Save as JPEG pop-up menu item (Figure 5-1) saves the Response view as a JPEG file. 5.1.2.3 COPY The Save as JPEG pop-up menu item (Figure 5-1) copies the Response view image to the clipboard. 5.2 CIRCUIT VIEW FIGURE 5-2: 5.2.1 Circuit View Circuit Display The Circuit View (Figure 5-2) displays the current circuit for the specified filter. DS51419A-page 50 2003 Microchip Technology Inc. FilterLab® 2.0 User’s Guide 5.3 SPICE LISTING VIEW Menu available by right clicking the mouse button FIGURE 5-3: SPICE Listing View 5.3.1 Popup Menu 5.3.1.1 COPY The Copy pop-up menu item (Figure 5-3) copies the selected SPICE listing to the clipboard. The Copy popup menu item is only enabled when spice text has been selected in the Edit menu. 5.3.1.2 SAVE The Save pop-up menu item (Figure 5-3) saves the SPICE listing to a text file. The spice listings model name changes to the name of the file to which the listing is saved. 2003 Microchip Technology Inc. DS51419A-page 51 FilterLab® 2.0 User’s Guide NOTES: DS51419A-page 52 2003 Microchip Technology Inc. M FilterLab® 2.0 User’s Guide Appendix A. FilterLab 2.0 to SPICE Interface A.1 INTRODUCTION AND HIGHLIGHTS FilterLab 2.0 provides a net list of the filter circuit that can be imported to a SPICE simulator. The SPICE output of FilterLab 2.0 and the Microchip operational amplifiers macromodels are designed to be compatible with PSPICE™ or other SPICE 2G6 circuit simulators. Other simulators may require translation. The FilterLab 2.0 to PSPICE interface consists of a three-step procedure. First, the filter is defined using either the Filter Design dialog box or the Filter Selection Wizard. The second step consists of reviewing the frequency response and schematic of the filter design. The last step consists of copying the net list filter that is provided in the SPICE view to the SPICE simulator. FilterLab 2.0 SPICE Design Example ***************************************************************************** ***************************************************************************** *1 KHz Low-pass Filter *2nd Order Butterworth Approximation *Sallen-Key Circuit Topology *MPC6001 Operational Amplifier PSPICE Macromodel ***************************************************************************** ***************************************************************************** * AC Response Test * Node 10 functions as the input to the filter network V_IN 10 0 AC 1V * * N#pts Start/Stop Freq. .AC DEC 100 1 10MEG * * OP-AMP Power (pin 3 = V+, pin 4 = V-) V_PWR_PLUS 3 0 2.5V V_PWR_NEG 4 0 -2.5V *CALL FILTER_DEMO *CONNECTIONS: * INPUT * | OUTPUT * | | * | | * | | * | | * 1 2 X1 10 20 CIRCUIT POSITIVE POWER SUPPLY | NEGATIVE POWER SUPPLY | | | | 3 4 3 4 FilterLab1 .PROBE 2003 Microchip Technology Inc. DS51419A-page 53 FilterLab® 2.0 User’s Guide ***************************************************************************** ***************************************************************************** * SUBCIRCUIT FOR SINGLE SUPPLY LOW-PASS FILTER * CREATED USING FILTERLAB ON 8/7/2003 AT 14:31:15 * -----------------------------------------------------------* This model is being supplied as an aid to circuit designs. * While it reflects reasonable close similarity to the actual * filter in terms of performance, it is not suggested as a * replacement for breadboarding. Simulation should be used as * a forerunner or a supplement to traditional lab testing. * Neither this model nor any part may be copied without the * express written consent of Microchip Technology, Inc. * -----------------------------------------------------------* * 4TH ORDER BUTTERWORTH FILTER * GAIN EQUALS 1 * CONNECTIONS: INPUT * | OUTPUT * | | POSITIVE POWER SUPPLY * | | | NEGATIVE POWER SUPPLY * | | | | * | | | | * 1 2 3 4 .SUBCKT FilterLab1 10 20 3 4 *************** Stage 1 *************** R11 10 11 7870.000 R12 11 12 14700.000 C11 11 20 0.000000022 C12 12 0 0.00000001 X11 12 20 3 4 20 MCP6001 .ENDS ***************************************************************************** ***************************************************************************** *PSPICE OPERATIONAL MODELS ARE AVAILABLE AT www.microchip.com .SUBCKT MCP6001 1 2 3 4 5 * | | | | | * | | | | Output * | | | Negative Supply * | | Positive Supply * | Inverting Input * Non-inverting Input * ***************************************************************************** * Software License Agreement * *The software supplied herewith by Microchip Technology Incorporated (the *"Company") is intended and supplied to you, the Company's customer, for use *solely and exclusively on Microchip products. The software is owned by *the Company and/or its supplier, and is protected under applicable *copyright laws. All rights are reserved. Any use in violation of the *foregoing restrictions may subject the user to criminal sanctions under *applicable laws,*as well as to civil liability for the breach of the terms *and conditions of this license. * * *THIS SOFTWARE IS PROVIDED IN AN "AS IS" CONDITION. NO *WARRANTIES, WHETHER EXPRESS, IMPLIED OR STATUTORY, *INCLUDING, BUT NOT LIMITED TO, IMPLIED WARRANTIES OF *MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE *APPLY TO THIS SOFTWARE. THE COMPANY SHALL NOT, IN ANY *CIRCUMSTANCES, BE LIABLE FOR * SPECIAL, INCIDENTAL OR *CONSEQUENTIAL DAMAGES, FOR ANY REASON WHATSOEVER. DS51419A-page 54 2003 Microchip Technology Inc. FilterLab® 2.0 User’s Guide ****************************************************************************** ** * * Macromodel for the MCP6001/2/4 op amp family: * MCP6001 (single) * MCP6002 (dual) * MCP6004 (quad) * * Revision History: * REV A: 21-Jun-02, KEB (created model) * REV B: 16-Jul-02, KEB (improved output stage) * REV C: 03-Jan-03, KEB (added MCP6001) * * Recommendations: * Use PSPICE (or SPICE 2G6; other simulators may require translation) * For a quick, effective design, use a combination of: data sheet * specs, bench testing, and simulations with this macromodel * For high impedance circuits, set GMIN=100F in the .OPTIONS * statement * * Supported: * Typical performance at room temperature (25 degrees C) * DC, AC, Transient, and Noise analyses. * Most specs, including: offsets, DC PSRR, DC CMRR, input impedance, * open loop gain, voltage ranges, supply current, ... , etc. * * Not Supported: * Variation in specs vs. Power Supply Voltage * Distortion (detailed non-linear behavior) * Temperature analysis * Process variation * Behavior outside normal operating region * * Input Stage V10 3 10 -300M R10 10 11 6.90K R11 10 12 6.90K C11 11 12 115E-15 C12 1 0 6.00P E12 1 14 POLY(4) 20 0 21 0 26 0 27 0 1.00M 20.1 20.1 1 1 I12 14 0 1.50P M12 11 14 15 15 NMI L=2.00U W=42.0U C13 14 2 3.00P M14 12 2 15 15 NMI L=2.00U W=42.0U I14 2 0 500E-15 C14 2 0 6.00P I15 15 4 50.0U V16 16 4 300M D16 16 15 DL V13 3 13 50M D13 14 13 DL * * Noise, PSRR, and CMRR I20 21 20 423U D20 20 0 DN1 D21 0 21 DN1 G26 0 26 POLY(1) 3 4 110U -20.0U R26 26 0 1 G27 0 27 POLY(2) 1 3 2 4 -440U 80.0U 80.0U R27 27 0 1 * * Open Loop Gain, Slew Rate G30 0 30 POLY(1) 12 11 0 1.00K R30 30 0 1 E31 31 0 POLY(1) 3 4 104 -2.33 D31 30 31 DL 2003 Microchip Technology Inc. DS51419A-page 55 FilterLab® 2.0 User’s Guide E32 0 32 POLY(1) 3 4 140 -6.07 D32 32 30 DL G33 0 33 POLY(1) 30 0 0 447 R33 33 0 1 C33 33 0 77.1M G34 0 34 POLY(1) 33 0 0 1.00 R34 34 0 1.00 C34 34 0 50.2N G35 0 35 POLY(2) 34 0 33 34 0 1.00 3.00 R35 35 0 1.00 * * Output Stage G50 0 50 POLY(1) 57 5 0 2.00 D51 50 51 DL R51 51 0 1K D52 52 50 DL R52 52 0 1K G53 3 0 POLY(1) 51 0 50.0U 1M G54 0 4 POLY(1) 52 0 50.0U -1M E55 55 0 POLY(2) 3 0 51 0 -10M 1 -40.0M D55 57 55 DLS E56 56 0 POLY(2) 4 0 52 0 10M 1 -40.0M D56 56 57 DLS G57 0 57 POLY(3) 3 0 4 0 35 0 0 1.00M 1.00M 2.00M R57 57 0 500 R58 57 5 500M C58 5 0 2.00P * * Models .MODEL NMI NMOS .MODEL DL D N=1 IS=1F .MODEL DLS D N=10M IS=1F .MODEL DN1 D IS=1F KF=146E-18 AF=1 * .ENDS MCP6001 .END DS51419A-page 56 2003 Microchip Technology Inc. M FilterLab® 2.0 User’s Guide Appendix B. Filter Magnitude Templates B.1 INTRODUCTION B.1.1 LOW-PASS FILTER MAGNITUDE RESPONSE The magnitude response of low-pass filters is shown in Figure B-1. Pass Band HM Transition band Gain (dB) HM - A P HM - 3 HM - A S 0 0 fP BW Stop Band fS Frequency (Hz) FIGURE B-1: Low-pass Filter Template. The nominal filter response is required to stay within the three regions shown (pass band, transition band and stop band). The relevant parameters for the three regions and the controlling inequalities are: • Pass Band HM = Maximum Pass Band Gain (dB) A = Attenuation (relative to HM) (dB) AP * = Pass Band Ripple/Max. Attenuation (dB) fP * = Pass Band Frequency (Hz) BW = -3 dB Bandwidth 0 ≤ f ≤ fP 0 ≤ A ≤ AP * sometimes referred to as cut-off • Transition Band fP ≤ f ≤ fS AP ≤ A ≤ AS 2003 Microchip Technology Inc. DS51419A-page 57 FilterLab® 2.0 User’s Guide • Stop Band fS = Stop Band Edge Frequency (Hz) AS = Minimum Stop Band Attenuation (dB) fS ≤ f AS ≤ A The gain parameter in FilterLab (G) corresponds to the DC gain (for good sensitivity performance). Thus, G = G = Note: HM; Bessel, Butterworth and Chebychev (n = 1, 3, 5, 7) HM - AP; Chebychev (n = 2, 4, 6, 8) The Frequency Response plot in FilterLab 2.0 does not show even order Chebychev responses correctly. The limits that FilterLab 2.0 enforces on these low-pass parameters are: 0.1 Hz ≤ fP < fS ≤ 1.0 MHz AP = 3.0 dB, Bessel Filters 0.01 dB ≤ AP ≤ 3.0 dB, Butterworth and Chebychev 10 dB ≤ AS ≤ 100 dB 1V/V ≤ G ≤ 10V/V, (0 dB to 20 dB) DS51419A-page 58 2003 Microchip Technology Inc. FilterLab® 2.0 User’s Guide B.1.2 BAND-PASS FILTER MAGNITUDE RESPONSE The magnitude response of band-pass filters is shown in Figure B-2. Pass Band Transition band Gain (dB) HM - AP HM - 3 HM - AS 0 Transition band HM Stop Band 0 Stop Band fSL fPL BWL fPU fSU BWU Frequency (Hz) FIGURE B-2: Band-pass Filter Template. The nominal filter response is required to stay within the five regions shown (pass band, two transition bands and two stop bands). The relevant parameters for the three regions and the controlling inequalities are: • Lower Stop Band fSL = Lower Stop Band Edge Frequency (Hz) AS = Min. Stop Band Attenuation (dB) f ≤ fS AS ≤ A • Lower Transition Band fSL < f < fPL AP < A < AS • Pass Band fPL * = fPU * Lower Pass Band Frequency (Hz) Upper Pass Band Frequency (Hz) BWL = Lower -3 dB Bandwidth BWU = Upper -3 dB Bandwidth HM = Maximum Pass Band Gain (dB) A = Attenuation (relative to HM) (dB) AP * = Pass Band Ripple/Max. Attenuation (dB) fPL ≤ f ≤ fPU 0 ≤ A ≤ AP * sometimes referred to as cut-off 2003 Microchip Technology Inc. DS51419A-page 59 FilterLab® 2.0 User’s Guide • Upper Transition Band fPU < f < fSU AP < A < AS • Upper Stop Band fSU = Upper Stop Band Edge Frequency (Hz) AS = Min. Stop Band Attenuation (dB) fSU ≤ f AS ≤ A The gain parameter in FilterLab 2.0 (G) corresponds to the midband gain (for ease of implementation), where: f0 = Midband Frequency = (fPL fPU)1/2 G = HM; G = Thus, Note: Bessel, Butterworth and Chebychev (n = 2, 6) HM - AP; Chebychev (n = 4, 8) The Frequency Response plot in FilterLab 2.0 does not show Chebychev response correctly for orders 4 and 8. The limits that FilterLab 2.0 enforces on these band-pass parameters are: 0.1 Hz ≤ fSL < fPL < fPU < fSU ≤ 1.0 MHz 1.2210 ≤ fPU/fPL ≤ 5.8284 0.01 dB ≤ AP ≤ 3.0 dB 10 dB ≤ AS ≤ 100 dB 1 V/V ≤ G ≤ 10 V/V, (0 dB to 20 dB) If the ratio fPU/fPL is larger than 5.8284, the wider pass band can be designed by cascading a low-pass and high-pass filter. If the ratio fPU/fPL is smaller than 1.2210, the narrow pass band cannot be implemented with this version of FilterLab 2.0. DS51419A-page 60 2003 Microchip Technology Inc. FilterLab® 2.0 User’s Guide B.1.3 HIGH-PASS FILTER MAGNITUDE RESPONSE The magnitude response of high-pass filters is shown in Figure B-3. Pass Band HM Transition band Gain (dB) HM - AP HM - 3 Stop Band HM - AS 0 fS 0 BW fP Frequency (Hz) FIGURE B-3: High-pass Filter Template. The nominal filter response is required to stay within the three regions shown (pass band, transition band and stop band). The relevant parameters for the three regions and the controlling inequalities are: • Pass Band fP * = Pass Band Frequency (Hz) BW = -3 dB Bandwidth HM = Maximum Pass Band Gain (dB) A = Attenuation (relative to HM) (dB) AP * = Pass Band Ripple/Max. Attenuation (dB) fP ≤ f 0 ≤ A ≤ AP * sometimes referred to as cutoff • Transition Band fS < f < fP AP < A < AS • Stop Band fS = Stop Band Edge Frequency (Hz) AS = Min. Stop Band Attenuation (dB) f ≤ fS AS ≤ A 2003 Microchip Technology Inc. DS51419A-page 61 FilterLab® 2.0 User’s Guide The gain parameter in FilterLab 2.0 (G) corresponds to the high-frequency gain (at "infinity" for good sensitivity performance). Thus, G = HM; Bessel, Butterworth and Chebychev (n = 1, 3, 5, 7) G = HM - AP; Chebychev (n = 2, 4, 6, 8) Note: The Frequency Response plot in FilterLab 2.0 does not show even order Chebychev responses correctly. The limits that FilterLab 2.0 enforces on these high-pass parameters are: 0.1 Hz ≤ fS < fP ≤ 1.0 MHz 0.01 dB ≤ AP ≤ 3.0 dB 10 dB ≤ AS ≤ 100 dB 1 V/V ≤ G ≤ 10 V/V, (0 dB to 20 dB) DS51419A-page 62 2003 Microchip Technology Inc. M FilterLab® 2.0 User’s Guide Appendix C. Group Delay C.1 INTRODUCTION Group delay is a measure of time domain response. It focuses on the relative delay among sine waves of nearly equal frequency. Its usual definition is: Ω = Radian Frequency (rad/s) φ(ω) = Phase Response (rad) = atan(Im{G}/Re{G}) = group delay (s) = -dφ(ω)/dω τgd(ω) An equivalent definition, when frequency is in Hz and phase is in degrees, is: f = Frequency (Hz = cycles/s) φ(f) = Phase Response (°) = atan(Im{G}/Re{G}) = group delay (s) = (1 cycle/360°) (-dφ(f) / df) τgd(f) Figure C-1 and Figure C-2 illustrate phase and group delay. 180° jump (transmission zero) 360° jump Phase (°) φ(0) φ(0) - 360° fP 0 fS Frequency (Hz) FIGURE C-1: 2003 Microchip Technology Inc. Low-pass Phase Response. DS51419A-page 63 Group Delay (s) FilterLab® 2.0 User’s Guide τgd(0) 0 0 fP fS Frequency (Hz) FIGURE C-2: Low-pass Group Delay. Some reasons that group delay has been traditionally used for filter work are: • It is easier to manipulate mathematically (no arc-tangent functions) • Group delay is easier to optimize - Its jump discontinuities are only at transmission zeros on the jω-axis (gain is zero) - It is a non-negative function for low-pass filters • It applies directly to AM modulated signals - The information is delayed by the group delay (also known as envelope delay) - It maps directly to group delay at baseband - The carrier is delayed by a different time (total phase shift divided by carrier frequency) • It is a good indicator of low-pass step response quality - Constant group delay in the pass band, and well into the transition band (A < 10 dB to 20 dB), indicates a very good step response - Group delay with peaking (usually near fP) indicates overshoot and ringing DS51419A-page 64 2003 Microchip Technology Inc. M FilterLab® 2.0 User’s Guide Appendix D. FilterLab 2.0 Filter Response D.1 INTRODUCTION Bessel (low-pass) filters are mainly used for applications that need excellent step response. The emphasis is on phase and group delay; the frequency selectivity is poor compared to the other classical filter response functions (e.g., Butterworth). Some typical applications are: PWM communications channels, instrumentation and simple anti-aliasing filters for ADCs. Figure D-1 and Figure D-2 show the normalized frequency response. Increasing the filter order does not provide a significant improvement in the stop band rejection. Figure D-3 shows the normalized group delay, Figure D-4 shows the normalized step response. The step response overshoot is minimal. FilterLab 2.0 does not allow the user to select Bessel filters based on their frequency response. Use Figure D-3 and Figure D-4 to choose the order based on group delay and step response. Normalized Gain = G / HM (dB) 0.0 -0.5 n = 8 (top) through n = 1 (bottom) -1.0 -1.5 -2.0 -2.5 -3.0 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 Normalized Frequency = f / fP FIGURE D-1: 2003 Microchip Technology Inc. Normalized Bessel frequency response in the pass band. DS51419A-page 65 FilterLab® 2.0 User’s Guide 0 Normalized Gain = G / HM (dB) -10 -20 -30 -40 -50 n = 1 (top) through n = 8 (bottom) -60 -70 -80 0.1 10 Normalized Bessel frequency response in the stop band. Normalized Group Delay = t gd fP FIGURE D-2: 1 Normalized Frequency = f / fP 0.55 0.50 0.45 0.40 0.35 0.30 0.25 0.20 0.15 0.10 0.05 0.00 n=8 n=7 n=6 n=5 n=4 n=3 n=2 n=1 0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 Normalized Frequency = f / fP Normalized Bessel group delay. Step Response (V) FIGURE D-3: 1.1 1.0 VIN 0.9 0.8 VOUT 0.7 0.6 0.5 0.4 0.3 0.2 0.1 0.0 -0.1 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 n=8 n=7 n=6 n=5 n=4 n=3 n=2 n=1 0.8 0.9 1.0 Normalized Time = t fP FIGURE D-4: DS51419A-page 66 Normalized Bessel step response. 2003 Microchip Technology Inc. M FilterLab® 2.0 User’s Guide Appendix E. Op Amp Selection E.1 INTRODUCTION E.1.1 OP AMP SMALL SIGNAL BANDWITH The op amps you select for your filter need to be fast enough to avoid problems with non-linear distortion and filter response distortion. A crude estimate of the op amp GBWP (Gain Bandwidth Product) that you need for a filter section is: GBWP = = K 100 fP, low-pass K Q 100 fPU, band-pass = K max {100 fP, fmax}, K = Filter section's gain (V/V) fP = Low-pass and high-pass filters’ pass band frequency (Hz) fPU = Band-pass filter's upper pass band frequency (Hz) Q = Band-pass filter's overall Q-factor = 1/"fractional bandwidth" = (fPL fPU)1/2/(fPU - fPL) Maximum pass band/signal frequency for high-pass response >> fP high-pass Where: fmax = Try op amps with different GBWPs to see what you require. Small signal frequency response (typically VOUT < 100 mVP-P) starts to peak as the GBWP goes too low. Harmonic distortion also grows as the GBWP goes lower. E.1.2 OP AMP FULL-POWER BANDWIDTH The op amps also need to handle large signals. The SR (Slew Rate) specified in our op amp data sheets is related to the full-power bandwidth as follows. fFPBW = SR/(π VOUT_P-P) (Hz) VOUT_P-P = Filter section's maximum output voltage swing (VP-P) < VDD – VSS SR = Slew rate (V/s); data sheets usually give units of V/µs (1 V/µs = 1,000,000 V/s) Where: fFPBW op amp full-power bandwidth (Hz) Sine waves faster than fFPBW will not be faithfully reproduced because their derivative (slew rate) is too high. 2003 Microchip Technology Inc. DS51419A-page 67 FilterLab® 2.0 User’s Guide In order to keep harmonic (non-linear) distortion to a minimum, the recommended minimum SR for all op amps in the filter is: = XFF π VOUT_P-P fP, low-pass = XFF π VOUT_P-P fPU, band-pass = XFF π VOUT_P-P fmax, high-pass fP = Low-pass and high-pass filters' pass band frequency (Hz) fPU = Band-pass filter's upper pass band frequency (Hz) SR Where: fmax XFF THD SR Maximum pass band/signal frequency for high-pass response >> fP = rough fudge factor for distortion performance (relative to fundamental) ≈ 2, THD SR = -60 dBc ≈ 4, THD SR = -72 dBc ≈ 8, THD SR = -84 dBc ≈ 16, THD SR = -96 dBc Slew Rate induced distortion level (dBc) = Note that non-linear distortion may include a DC offset term. E.1.3 OP AMP OUTPUT LOADING Choose the resistance values in your filter so that the op amp is not overloaded. A compromise among loading, noise and parasitic RC time constants needs to be made. To scale the resistor values, change the capacitor values in the Filter Design dialog box within FilterLab 2.0. E.1.4 MINIMUM GAIN Most op amps are unity gain stable (G ≥ +1 V/V). A few op amps need to be set at higher gains to remain stable (e.g., G ≥ +10 V/V for the MCP6141). If you need gain in your filter, this kind of part can give you the bandwidth and gain you need for less quiescent current. Note that inverting gains, used in Multiple Feedback (MFB) sections, have an equivalent "noise gain" that is used to determine stability. It is calculated as: 1 + |G| (e.g., a signal gain of -1 V/V gives a noise gain of +2 V/V). DS51419A-page 68 2003 Microchip Technology Inc. FilterLab® 2.0 User’s Guide E.1.5 CURRENT MICROCHIP OP AMPS The following table shows the Microchip op amps recommended for new designs as of October 1, 2003. See our web site (www.microchip.com) for the latest information. TABLE E-1: Op Amp Family # Amplifiers GBWP (Hz) MICROCHIP OP AMPS SR (V/µs) Rail to Rail Input/Output Supply Voltage (V) Comments MCP6041 1, 2, 4 14k 0.003 I/O 1.4-5.5 TC1034 1, 2, 4 90k 0.035 I/O 1.8-5.5 Also TC1026, TC1029, TC1030, TC1035 MCP6141 1, 2, 4 100k 0.024 I/O 1.4-5.5 Gain ≥ 10 V/V MCP606 1, 2, 4 155k 0.08 O 2.5-5.5 MCP616 1, 2, 4 190k 0.08 O 2.3-5.5 Bipolar (PNP) input TC7652 1 400k 1.0 O 6.5-16.0 Chopper Stabilized (VOS ≤ ±5 µV) MCP6001 1, 2, 4 1.0M 0.6 I/O 1.8-5.5 TC913 2 1.5M 2.5 — 6.5-16.0 Chopper Stabilized (VOS ≤ ±15 µV) TC7650 1 2.0M 2.5 O 6.5-16.0 Chopper Stabilized (VOS ≤ ±5 µV) 1, 2, 4 2.0M 0.9 I/O 2.0-5.5 MCP6271 MCP601 1, 2, 4 2.8M 2.3 O 2.7-5.5 MCP6281 1, 2, 4 5.0M 2.5 I/O 2.2-5.5 MCP6291 1, 2, 4 10.0M 7.0 I/O 2.4-5.5 MCP6021 1, 2, 4 10.0M 7.0 I/O 2.5-5.5 2003 Microchip Technology Inc. DS51419A-page 69 FilterLab® 2.0 User’s Guide NOTES: DS51419A-page 70 2003 Microchip Technology Inc. M FilterLab® 2.0 User’s Guide Appendix F. Selected References F.1 INTRODUCTION F.1.1 FILTER TEXTBOOKS AND CLASSIC REFERENCES [1] Arthur B. Williams and Fred J. Taylor, Electronic Filter Design Handbook, 3rd ed., McGraw-Hill, 1995. [2] Rolf Schaumann, M.S. Ghausi, and Kenneth R. Laker, Design of Analog Filters: Passive, Active RC, and Switched Capacitor, Prentice Hall, 1990. [3] Andreas Antoniou, Digital Filters: Analysis and Design, McGraw-Hill, 1979. [4] Anatol I. Zverev, Handbook of Filter Synthesis, Wiley, John & Sons, 1967. [5] Rolf Schaumann, Mac E. Van Valkenburg, and Mac Van Valkenburg, Design of Analog Filters, 2nd ed., Oxford University Press, 2001. F.1.2 APPLICATION NOTES [1] Bonnie Baker, Anti-Aliasing, Analog Filters for Data Acquisition Systems, Application Note 699, DS00699, Microchip Technology Inc., 1999. 2003 Microchip Technology Inc. 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