MAXIM MAX14972CTG+

19-5952; Rev 1; 3/12
EVALUATION KIT AVAILABLE
MAX14972
Dual SuperSpeed USB 3.0 Equalizer/Redriver
General Description
The MAX14972 dual SuperSpeed USB 3.0 equalizer/
redriver utilizes programmable input equalization and
output deemphasis to reduce deterministic jitter and
restore signal loss caused by circuit-board or signalcable losses, and allows optimal placement of key
SuperSpeed USB 3.0 components and longer circuitboard traces or cables. The device features advanced
power management with receiver detection and explicit
support for USB 3.0 low-frequency periodic signals
(LFPS).
The device is available in a small, 24-pin (4.0mm x
4.0mm) TQFN package with flow-through traces for optimal layout and minimal space requirements. The device
is specified over the 0NC to +70NC commercial operating
temperature range.
Applications
USB Ports
USB Hubs
Notebook Computers
Benefits and Features
SInnovative Design Eliminates Need for Costly
External Components
Single +3.3V Supply Operation
SAdvanced Power Management for Maximum
Efficiency
1mW (typ) in Standby State
23mW (typ) in Receiver Detect State
82.5mW (typ) in Dynamic Power-Down State
304mW (typ) in Active State
SHigh Level of Integration for Performance
Very Low Latency with 250ps (typ) Propagation
Delay
10dB (typ) Input/Output Return Loss Up to 2.5GHz
Three-Level Programmable Input Equalization
Six-Level Programmable Output Deemphasis
Explicit LFPS Support with Frequency Shaping
SuperSpeed USB 3.0-Compliant Receiver
Detection
Low-Voltage (1.8V) Compatible Controls
Excellent Jitter and Loss Compensation Capability
> 40in of 4mil Microstrip
SIdeal for Space-Sensitive Applications
On-Chip 50I Input/Output Terminations
24-Pin, 4.0mm x 4.0mm TQFN Packaging
±8kV HBM ESD Protection on All Pins
Pin-to-Pin Compatible with TI SN65LVPE502
and TI SN65LVPE502CP
Desktop Computers
Docking Stations
Industrial USB Switching
Ordering Information appears at end of data sheet.
Typical Operating Circuit
VCC
REMOTE BOARD
MAIN BOARD
0.1µF
100nF (X7R)
TX+
100nF (X7R)
RX1+
TX1+
RX1-
TX1-
100nF (X7R)
TXUSB 3.0
HOST
SINGLE DIFFERENTIAL PAIR
RX-
MAX14972
TX2+
100nF (X7R)
TX+
RX2+
SINGLE DIFFERENTIAL PAIR
100nF (X7R)
RX-
RX+
100nF (X7R)
100nF (X7R)
RX+
MIDPLANE
TX2-
GND
USB 3.0
DEVICE
100nF (X7R)
TX-
RX2-
CONNECTORS
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For pricing, delivery, and ordering information, please contact Maxim Direct at 1-888-629-4642,
or visit Maxim’s website at www.maxim-ic.com.
MAX14972
Dual SuperSpeed USB 3.0 Equalizer/Redriver
ABSOLUTE MAXIMUM RATINGS
(Voltages referenced to GND.)
VCC ...................................................................... -0.3V to +4.0V
All Other Pins (Note 1) ............................ -0.3V to (VCC + 0.3V)
Continuous Current RX_+, RX_-, TX_+, TX_-.................. Q30mA
Continuous Power Dissipation (TA = +70NC)
TQFN (derate 27.8mW/NC above +70NC) ............. 2222.2mW
Operating Temperature Range ............................ 0NC to +70NC
Junction Temperature Range ......................... -40NC to +150NC
Storage Temperature Range .......................... -65NC to +150NC
Lead Temperature (soldering, 10s) ................................+300NC
Soldering Temperature (reflow) ......................................+260NC
Note 1: All I/O pins are clamped by internal diodes.
Stresses beyond those listed under “Absolute Maximum Ratings” may cause permanent damage to the device. These are stress ratings only, and functional operation of the device at these or any other conditions beyond those indicated in the operational sections of the specifications is not implied. Exposure to absolute
maximum rating conditions for extended periods may affect device reliability.
PACKAGE THERMAL CHARACTERISTICS (Note 2)
TQFN
Junction-to-Ambient Thermal Resistance (qJA).......... 36NC/W
Junction-to-Case Thermal Resistance (qJC)..................3NC/W
Note 2: Package thermal resistances were obtained using the method described in JEDEC specification JESD51-7, using a fourlayer board. For detailed information on package thermal considerations, refer to www.maxim-ic.com/thermal-tutorial.
ELECTRICAL CHARACTERISTICS
(VCC = +3.0V to +3.6V, CC = 100nF coupling capacitor on each output, RL = 50I and CL = 1pF on each output, TA = 0NC to +70NC,
unless otherwise noted. Typical values are at VCC = +3.3V and TA = +25NC.)
PARAMETER
SYMBOL
CONDITIONS
MIN
TYP
MAX
UNITS
3.0
V
DC PERFORMANCE
Power-Supply Range
Operating Supply Current
Standby Supply Current
VCC
ICC
ISTBY
3.3
3.6
ENRXD = 1, data rate = 5.0Gbps, D10.2
pattern, DE­­_ = VCC, OS_ = GND
92
125
ENRXD = 1, CM = 0, no output
termination
7
10
Dynamic power-down mode,
ENRXD = 1, CM = 0, with output
termination, no input signal
25
32
ENRXD = 0
mA
500
FA
Differential Input Impedance
ZRX-DC-DIFF
DC
72
120
I
Differential Output Impedance
ZTX-DC-DIFF
DC
72
120
I
Single-Ended High Input
Impedance
ZRX-SE-HIGH
No output termination, CM = 0 (Note 3)
25
50
kI
Common-Mode Input Impedance
ZRX-DC-CM
(Note 3)
18
30
I
Common-Mode Output
Impedance
ZTX-DC-CM
(Note 4)
18
30
I
Common-Mode Input Voltage
VRX-DC-CM
(Note 3)
0
V
Common-Mode Output Voltage
VTX-DC-CM
(Note 3)
2.75
V
Active LFPS Common-Mode Delta
DVLFPS-CM
Active LFPS squelched and not
squelched
50
mV
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MAX14972
Dual SuperSpeed USB 3.0 Equalizer/Redriver
ELECTRICAL CHARACTERISTICS (continued)
(VCC = +3.0V to +3.6V, CC = 100nF coupling capacitor on each output, RL = 50I and CL = 1pF on each output, TA = 0NC to +70NC,
unless otherwise noted. Typical values are at VCC = +3.3V and TA = +25NC.)
PARAMETER
SYMBOL
CONDITIONS
MIN
TYP
MAX
UNITS
1200
mVP-P
300
mV
AC PERFORMANCE (Note 5)
Redriver-Operation Differential
Input Signal Range
LFPS Detect Threshold
VRX-DIFF-PP
USB 3.0 data
150
VLFPS-DIFF-PP
USB 3.0 data
100
50MHz P f < 1250MHz
16
18
1250MHz P f < 2500MHz
8
12
50MHz P f < 1250MHz
13
16
1250MHz P f < 2500MHz
8
10
Differential Input Return Loss
RLRX-DIFF
Differential Output Return Loss
RLTX-DIFF
Common-Mode Input Return Loss
RLRX-CM
50MHz P f < 2500MHz
11
13
dB
Common-Mode Output Return
Loss
RLTX-CM
50MHz P f < 2500MHz
11
13
dB
Differential Output Amplitude
(Transition Bit), Figure 1
Differential Output Amplitude
(Nontransition Bit), Figure 1
LFPS Idle Differential Output
Voltage
VTX-DIFF-TB-PP
OS_ = 0, DE_ = 0
1120
OS_ = 0, DE_ = N.C.
940
OS_ = 0, DE_ = 1
1210
OS_ = 1 or N.C., DE_ = 0
1180
OS_ = 1 or N.C., DE_ = N.C.
1010
OS_ = 1 or N.C., DE_ = 1
1270
DE_ = N.C.
640
VTX-DIFF-NTB-PP DE_ = 0
840
DE_ = 1
940
VLFPS-IDLEDIFF -PP
dB
dB
mVP-P
mVP-P
Highpass filter to remove DC offset
30
mV
Voltage Change to Allow Receiver
Detect
VDETECT
Positive voltage to sense receiver
termination
500
mV
Deterministic Jitter
tTX-DJ-DD
K28.5 pattern, data rate = 5.0Gbps,
EQ_ = not connected
12
psP-P
Random Jitter
tTX-RJ-DD
K28.5 pattern, data rate = 5.0Gbps,
EQ_ = not connected
1
psRMS
Rise/Fall Time
tTX-RISE-FALL
Differential Propagation Delay
LFPS Idle Entry Delay
LFPS Idle Exit Delay
tPD
tIDLE-ENTRY
tIDLE-EXIT
(Note 6)
Propagation delay input to output at 50%
40
ps
250
ps
USB 3.0 LFPS pattern, active state
4
6
USB 3.0 LFPS pattern, active state
4
6
15.6
22.5
USB 3.0 LFPS pattern, dynamic powerdown state
ns
ns
����������������������������������������������������������������� Maxim Integrated Products 3
MAX14972
Dual SuperSpeed USB 3.0 Equalizer/Redriver
ELECTRICAL CHARACTERISTICS (continued)
(VCC = +3.0V to +3.6V, CC = 100nF coupling capacitor on each output, RL = 50I and CL = 1pF on each output, TA = 0NC to +70NC,
unless otherwise noted. Typical values are at VCC = +3.3V and TA = +25NC.)
PARAMETER
SYMBOL
CONDITIONS
MIN
TYP
MAX
UNITS
CONTROL LOGIC
Input Logic-High
VIH
ENRXD, CM, EQ_, OS_, and DE_
Input Logic-Low
VIL
ENRXD, CM, EQ_, OS_, and DE_
VHYST
ENRXD, CM, EQ_, OS_, and DE_
Input Logic Hysteresis
1.5
V
0.5
V
0.075
V
±8
kV
ESD PROTECTION
HBM ESD Protection
Note
Note
Note
Note
Human Body Model
3: Measured with respect to ground.
4: Measured with respect to VCC.
5: Guaranteed by design, unless otherwise noted.
6: Rise and fall times are measured using 20% and 80% levels.
VTX-DIFF-NTB-PP VTX-DIFF-TB-PP
DE(dB) = 20 log
VTX-DIFF-NTB-PP
VTX-DIFF-TB-PP
Figure 1. Illustration of Output Deemphasis
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MAX14972
Dual SuperSpeed USB 3.0 Equalizer/Redriver
Typical Operating Characteristics
(VCC = 3.3V, TA = +25NC, EQ_ = N.C., using 5Gbps QK28.5 pattern, unless otherwise noted.)
DE_ = N.C, OS_ = N.C or 1,
VRX-DIFF-PP = 150mVP-P
200
0
-200
-400
-600
MAX14972 toc02
400
600
EYE DIAGRAM VOLTAGE (mV)
MAX14972 toc01
600
EYE DIAGRAM VOLTAGE (mV)
DE_ = N.C, OS_ = 0,
VRX-DIFF-PP = 150mVP-P
400
200
0
-200
-400
-600
-200ps
-100ps
-150ps
0ps
-50ps
200ps
100ps
50ps
-200ps
150ps
100ps
50ps
200ps
150ps
200
0
-200
-400
-600
MAX14972 toc04
600
EYE DIAGRAM VOLTAGE (mV)
MAX14972 toc03
EYE DIAGRAM VOLTAGE (mV)
400
0ps
-50ps
DE_ = N.C, OS_ = 0,
VRX-DIFF-PP = 1200mVP-P
DE_ = N.C, OS_ = N.C or 1,
VRX-DIFF-PP = 1200mVP-P
600
-100ps
-150ps
400
200
0
-200
-400
-600
-200ps
-100ps
-150ps
-50ps
0ps
200ps
100ps
50ps
150ps
-200ps
-100ps
-150ps
-50ps
0ps
100ps
50ps
200ps
150ps
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MAX14972
Dual SuperSpeed USB 3.0 Equalizer/Redriver
Typical Operating Characteristics (continued)
(VCC = 3.3V, TA = +25NC, EQ_ = N.C., using 5Gbps QK28.5 pattern, unless otherwise noted.)
DE_ = N.C, OS_ = 1,
VRX-DIFF-PP = 150mVP-P
USB 3.0 DEVICE COMPLIANCE FILTER
DE_ = N.C, OS_ = 1,
VRX-DIFF-PP = 150mVP-P
USB 3.0 HOST COMPLIANCE FILTER
600mV
400mV
800mV
600mV
400mV
200mV
200mV
0mV
0mV
-200mV
-200mV
-400mV
-400mV
-600mV
-600mV
-800mV
-200ps
-100ps
-150ps
0ps
-50ps
-800mV
-200ps
100ps
50ps
MAX14972 toc06
MAX14972 toc05
800mV
150ps
DIFFERENTIAL INPUT RETURN LOSS
vs. FREQUENCY
MASK
-15
150ps
-20
-25
-30
-35
-40
MAX14972 toc08
-10
100ps
50ps
0
DIFFERENTIAL OUTPUT RETURN LOSS (dB)
-5
0ps
-50ps
DIFFERENTIAL OUTPUT RETURN LOSS
vs. FREQUENCY
MAX14972 toc07
DIFFERENTIAL INPUT RETURN LOSS (dB)
0
-100ps
-150ps
-5
-10
MASK
-15
-20
-25
-30
-35
-40
0
0.5
1.0
1.5
FREQUENCY (GHz)
2.0
2.5
0
0.5
1.0
1.5
2.0
2.5
FREQUENCY (GHz)
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MAX14972
Dual SuperSpeed USB 3.0 Equalizer/Redriver
EQ2
DE2
OS2
CM
VCC
TOP VIEW
GND
Pin Configuration
18
17
16
15
14
13
RX2+ 19
12
TX2+
RX2- 20
11
TX2-
GND 21
10
GND
9
RX1+
8
RX1-
7
N.C.
MAX14972
TX1+ 22
TX1- 23
*EP
+
1
2
3
4
5
6
VCC
EQ1
DE1
OS1
ENRXD
GND
N.C. 24
TQFN
*CONNECT EXPOSED PAD (EP) TO GND.
Pin Description
PIN
NAME
FUNCTION
1, 13
VCC
Power-Supply Input. Bypass VCC to GND with 0.1FF and 2.2FF low-ESR capacitors in parallel as
close as possible to the device.
2
EQ1
Three-State Input Equalization Control, Channel 1. Leave EQ1 unconnected for default state.
3
DE1
Three-State Transition Bit and Nontransition Bit Output Amplitude Control, Channel 1. Connect DE1 to
VCC for default state.
4
OS1
Two-State Transition-Bit Output Amplitude Control, Channel 1. Connect OS1 to GND for default state.
5
ENRXD
6, 10, 18, 21
GND
Ground
7, 24
N.C.
No Connection. Not internally connected.
8
RX1-
Inverting Input, Channel 1. AC-couple RX1- with a low-ESR 100nF capacitor.
9
RX1+
Noninverting Input, Channel 1. AC-couple RX1+ with a low-ESR 100nF capacitor.
11
TX2-
Inverting Output, Channel 2. AC-couple TX2- with a low-ESR 100nF capacitor.
12
TX2+
Noninverting Output, Channel 2. AC-couple TX2+ with a low-ESR 100nF capacitor.
14
CM
Active-High Enable. Drive ENRXD high or leave unconnected for normal operation. Drive ENRXD low
to enter standby state. ENRXD has a 400kI (typ) pullup resistor to VCC.
Active-High Compliance Mode Control. Drive CM high to force active state. Drive CM low or leave
unconnected for normal operation. CM has a 400kI (typ) pulldown resistor to GND.
����������������������������������������������������������������� Maxim Integrated Products 7
MAX14972
Dual SuperSpeed USB 3.0 Equalizer/Redriver
Pin Description (continued)
PIN
NAME
FUNCTION
15
OS2
Two-State Transition-Bit Output Amplitude Control, Channel 2. Connect OS2 to GND for default state.
16
DE2
Three-State Transition Bit and Nontransition Bit Output Amplitude Control, Channel 2. Connect DE2 to
VCC for default state.
17
EQ2
Three-State Input Equalization Control, Channel 2. Leave EQ2 unconnected for default state.
19
RX2+
Noninverting Input, Channel 2. AC-couple RX2+ with a low-ESR 100nF capacitor.
20
RX2-
Inverting Input, Channel 2. AC-couple RX2- with a low-ESR 100nF capacitor.
22
TX1+
Noninverting Output, Channel 1. AC-couple TX1+ with a low-ESR 100nF capacitor.
23
TX1-
Inverting Output, Channel 1. AC-couple TX1- with a low-ESR 100nF capacitor.
—
EP
Exposed Pad. Internally connected to GND. Connect to a large ground plane to maximize thermal
performance. Not intended as an electrical connection point.
Functional Diagram
VCC
RX1+
MAX14972
TX1+
RX1-
TX1-
TX2-
RX2-
TX2+
RX2+
CONTROL LOGIC
GND
OS1 OS2 EQ1 EQ2 DE1 DE2 ENRXD CM
����������������������������������������������������������������� Maxim Integrated Products 8
MAX14972
Dual SuperSpeed USB 3.0 Equalizer/Redriver
Detailed Description
The MAX14972 features two identical drivers to support a
complete single SuperSpeed USB 3.0 link. Programmable
equalization and deemphasis on each channel allows
for optimal board placement of SuperSpeed transceivers and enables flexibility of front, rear, and side
SuperSpeed ports. The device features advanced power
management with receiver detection and support for
USB 3.0 low-frequency periodic signals (LFPS).
Programmable Input Equalization
Input equalization for channel 1 is controlled by EQ1,
while input equalization for channel 2 is controlled by
EQ2. Each of the two pins, EQ1 and EQ2, has three
equalization settings, which offer flexible compensation
for varied input circuit-board trace, connector, or cable
losses (Table 1). The EQ_ three-state inputs interpret
voltages below VIH and higher than VIL as high impedance. Set EQ_ to 1V, for example, or leave unconnected
if the impedance state is required.
Programmable Output Deemphasis
Channel 1 output transition bit amplitude is controlled
by the OS1 and DE1 pins, and the nontransition bit
amplitude is controlled only by the DE1 pin. Channel 2
output transition bit amplitude is controlled by the OS2
and DE2 pins, and the nontransition bit amplitude is
Table 1. Typical Input Equalization
EQ_
EQUALIZATION (dB)
N.C.*
0
0
6
1
10
*Not connected.
controlled only by the DE2 pin. There are six possible
output deemphasis states for each of the two channels,
which offer flexibility to compensate for varied losses in
the output circuit-board traces, connectors, or cables
runs (Table 2, Table 3, and Table 4.) The DE_ three-state
input interprets voltages below VIH and higher than VIL
as high impedance. Set DE_ to 1V, for example, or leave
unconnected if a high-impedance state is required.
LFPS Support
The device explicitly supports USB 3.0 LFPS by detecting an idle state at the input and squelching the corresponding output to prevent unwanted noise from being
redriven. When the differential input LFPS signal falls
below the 100mVP-P threshold, the device squelches the
output. When a differential LFPS signal above 300mVP-P
(typ) is present at the input, the device turns on the corresponding output and redrives the signal. The device
features an LFPS idle entry time of 4ns (typ) and exit time
of 4ns (typ) in the active state.
Advanced Power Management
Standby State
Drive ENRXD low to place the device into a low-power
standby state. In standby, the inputs are in a commonmode high-impedance state and the device consumes
less than 1mW (typ) of power. The entry time to standby
is 2Fs (typ), and the exit time is 50Fs (typ).
Table 3. Typical Output Nontransition Bit
Amplitude
DE_
AMPLITUDE (mVP-P)
N.C*
640
0
840
1
940
*Not connected.
Table 2. Typical Output Transition
Bit Amplitude (Refer to the Electrical
Characteristics Table)
Table 4. Typical Output Deemphasis
CONTROL LOGIC
OS_ = 0
OS_ = 1, N.C.*
DE_ = 0
-2.5dB
-3.0dB
OS_
AMPLITUDE (mVP-P)
DE_ = N.C.
-3.3dB
-3.9dB
N.C.*, 1
1010 to 1270
DE_ = 1
-2.2dB
-2.7dB
0
940 to 1210
*Not connected.
*Not connected.
����������������������������������������������������������������� Maxim Integrated Products 9
MAX14972
Dual SuperSpeed USB 3.0 Equalizer/Redriver
Receiver Detection
The device features independent receiver detection on
each channel. Upon initial power-up, if ENRXD is high,
receiver detection initializes. If the device is in a powered-up state, the receiver detection is initiated on the
rising edge of ENRXD. During receiver detection, the part
remains in low-power mode 23mW (typ) and the outputs
and inputs are in a common-mode high-impedance state.
The receiver detection repeats every 12ms (typ) until the
receiver is detected. The receiver must be detected on
both channels to exit the receiver detection state.
Dynamic Power-Down
The device enters dynamic power-down state when a
receiver has been detected and no signal is present at
the input. The device exits this state when a signal is
detected at the input. The device consumes less than
82.5mW (typ) power in dynamic power-down state.
The device enters dynamic power-down after 30Fs idle
detection. If no signal is detected for more than 12ms
(typ), the part enters receiver detection state.
Active State
The device automatically enters active state after a
receiver is detected and an input signal is present. The
part can be forced into the active state by setting CM = 1
as shown in Table 5. The device consumes less than
304mW (typ) of power in this state.
USB 3.0 Compliance Mode
The MAX14972 features a USB 3.0 compliance mode
that forces the device to remain in the active state. The
device redrives signals to test the transmitter for voltage and timing specifications compliance as required
by USB 3.0 specifications. Drive ENRXD high or leave
unconnected, and CM high to activate USB 3.0 compliance mode. Drive ENRXD high or leave unconnected,
and CM low or leave unconnected for normal operation
(Table 5). Receiver detection and dynamic power-down
are disabled in compliance mode (CM = 1), while the part
remains in the active state with functional LFPS support.
Applications Information
Layout
Circuit-board layout and design can significantly affect
the performance of the device. Use good high-frequency
design techniques, including minimizing ground inductance and using controlled-impedance transmission lines
on data signals. Power-supply decoupling capacitors
must be placed as close as possible to VCC. Always connect VCC to a power plane.
Exposed-Pad Package
The exposed pad, 24-pin TQFN package incorporates
features that provide a very low thermal resistance path for
heat removal from the IC. The exposed pad on the device
must be soldered to the PCB ground plane for proper
electrical and thermal performance. For more information on exposed-pad packages, refer to Application Note
862: HFAN-08.1: Thermal Considerations of QFN and
Other Exposed-Paddle Packages.
Power-Supply Sequencing
Caution: Do not exceed the absolute maximum ratings
because stresses beyond the listed ratings may cause
permanent damage to the device.
Proper power-supply sequencing is recommended for all
devices. Always apply GND then VCC before applying
signals, especially if the signal is not current limited.
Ordering Information
Table 5. Digital Control Truth Table
ENRXD
CM
0
0
Power-Down
0
1
Power-Down
1 or N.C.*
DESCRIPTION
0 or N.C.* Normal Operation
1 or N.C.*
1
Compliance Mode (Active)
PART
MAX14972CTG+
TEMP RANGE
PIN-PACKAGE
0NC to +70NC
24 TQFN-EP*
+Denotes a lead(Pb)-free/RoHS-compliant package.
*EP = Exposed pad.
*Not connected.
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MAX14972
Dual SuperSpeed USB 3.0 Equalizer/Redriver
Package Information
Chip Information
PROCESS: BiCMOS
For the latest package outline information and land patterns
(footprints), go to www.maxim-ic.com/packages. Note that a
“+”, “#”, or “-” in the package code indicates RoHS status only.
Package drawings may show a different suffix character, but
the drawing pertains to the package regardless of RoHS status.
PACKAGE
TYPE
PACKAGE
CODE
OUTLINE
NO.
LAND
PATTERN NO.
24 TQFN-EP
T2444+3
21-0139
90-0021
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MAX14972
Dual SuperSpeed USB 3.0 Equalizer/Redriver
Revision History
REVISION
NUMBER
REVISION
DATE
0
10/11
Initial release
—
1
3/12
Updated Electrical Characteristics table
14
DESCRIPTION
PAGES
CHANGED
Maxim cannot assume responsibility for use of any circuitry other than circuitry entirely embodied in a Maxim product. No circuit patent licenses are implied.
Maxim reserves the right to change the circuitry and specifications without notice at any time. The parametric values (min and max limits) shown in the Electrical
Characteristics table are guaranteed. Other parametric values quoted in this data sheet are provided for guidance.
Maxim Integrated Products, 120 San Gabriel Drive, Sunnyvale, CA 94086 408-737-7600
© 2012
Maxim Integrated Products 12
Maxim is a registered trademark of Maxim Integrated Products, Inc.