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How to design a transimpedance
amplifier for minimum noise
Larry Miller PhD
www.linkedin.com/in/lrmiller
miller@elect-design.com
Copyright 2014 Larry Miller
All rights reserved
How to design a transimpedance amplifier
for minimum noise
Transimpedance amplifiers are used to amplify small signals from devices such as photodiodes with
high source impedance.
Below 1000 MHz, silicon JFETโ€™s (junction field-effect transistors) and silicon bipolar transistors are
commonly used as the first stage, because of their relatively low voltage noise.
Often, integrated circuit op amps (operational amplifiers) using these transistors as first stage are
used.
Choosing between a JFET-input and a bipolar-transistor-input op amp is a balancing act:
JFETโ€™s typically have voltage noise spectral density of 5 nV / ๐ป๐‘ง , versus the typical 5 nV / ๐ป๐‘ง of
bipolar transistors. Although bipolarโ€™s have lower voltage noise than JFETโ€™s, JFETโ€™s have far less
current noise: typically a few femtoamps / ๐ป๐‘ง versus a fewanoamps / ๐ป๐‘ง for bipolars.
Copyright 2014 Larry Miller All rights reserved
How to design a transimpedance amplifier
for minimum noise
The effective equivalent input current noise of a simple op-amp style transimpedance amplifier is
roughly1 the quadrature sum of In (the first-stage input current noise) and Vn /R (the first-stage
input voltage noise divided by the transimpedance):
Inequiv โ‰ˆ ๐ผ ๐‘›
2 + ๐‘Ž๐‘๐‘ 
๐‘‰ ๐‘›
|
๐‘๐‘–๐‘›
2 + 4๐‘˜๐‘‡/๐‘… .
Where Z๐‘–๐‘› is impedance seen by the op amp input terminal:
Z๐‘–๐‘› = Zs in parallel with R and with Zopin , with Zs representing the source impedance, and Zopin
representing the input impedance of the op amp.
The last term is the Johnson noise of the feedback transimpedance-determining resistor; this term
applies if using a room temperature resistor.
1. Second and following stage noise is ignored and partial correlation between voltage and current noise is ignored
Copyright 2014 Larry Miller All rights reserved
How to design a transimpedance amplifier
for minimum noise
The op amp input often as significant capacitance, and frequently the source impedance is not
resistive; for example for photodiodes it is usually approximately capacitive with a low series
resistance.
In these cases, Inequiv varies with frequency, tending to be dominated by voltage noise at higher
frequencies and by current noise and Johnson noise from the feedback resistor at lower. Thus,
because of its lower current noise, a JFET input stage would generally be preferable at lower
frequencies and a bipolar input stage would be preferred at higher.
It is best to evaluate the noise performance of both options before choosing. The following slides
show this calculation.
The following slides also include a โ€œthirdโ€ option, which is using a particularly low-voltage-noise
JFET, the NXP Semiconductor BF862 ahead of a bipolar op amp, with the JFET within the overall
feedback loop. The BF862 has voltage noise of 0.8 nV / ๐ป๐‘ง, comparable to that of the best bipolar
transistors. It however has an input capacitance of 10 pF, and thus Zopin is about 1/(2 ฯ€ f * 10 pF).
Copyright 2014 Larry Miller All rights reserved
Configurations 1 bipolar op amp and
2 JFET op amp
-
+
Cf
Ci
Rf
Vdiodesup
(negative)
Eo
Id
Ide
If
Ein
Ci = input capacitance: 15 pf assumed
(sum of diode, trace, and op amp in cap.)
Cf = feedback capacitance: 0.1 pf
Rf = feedback resistance: 160 K ohm
Config.1: LT1028bipolaropamp
en=0.9typ,1.2max nV/rootHz
in=1.0typ,1.8max pA/rootHz
Config.2: OPA657 FETopamp
en=4.8typ nV/rootHz
in=1.3typ,femtoA/rootHz
5Copyright 2014 Larry Miller All rights reserved
-
+
Cf
Ci
Rf
Vdiodesup
(negative)
Eo
Id
Ide
If
Ein
Vpos_sup
Vneg_sup
Configuration 3 JFET input stage
feeding bipolar op amp
Ci = input capacitance: 15 pf assumed
(sum of diode, trace, and JFET cap)
Cf = feedback capacitance: 0.1 pf
Rf = feedback resistance: 160 K ohm
Rb = JFET current bias R: 5 mA w/ no input
Rb
BF862
LT1028
BF862 JFET transistor
en = 0.85 typ nV/root Hz
LT1028 bipolar op amp
en = 0.9 typ, 1.2 max nV/root Hz
6Copyright 2014 Larry Miller All rights reserved
Config. 1
Bipolar input
op amp
Config. 2
FET input op
amp
Config. 3
JFET trans. plus
bipolar op amp
TI LT1028AM
+-15 v supply
TI OPA657 NXP BF862+
LT LT1028
Equiv input current noise
/root Hz 1KHz - 400 kHz
1.0 typ pA 0.32 typ pA 0.30 typ pA
Equiv input current noise
per root Hz at 1 MHz
1.2 typ pA 0.54 typ pA 0.33 typ pA
Equiv input current noise
per root Hz at 4 MHz
1.0 typ pA 1.7 typ pA 0.78 typ pA
Equiv input current noise
per root Hz at 10 MHz
1.35 typ pA 4.5 typ pA 3.4 typ pA
Equiv input current noise
per root Hz at 50MHz
3.4 typ pA 18 max pA 7.8 typ pA
Expected noise level, for the three
preamplifier configurations
Copyright 2014 Larry Miller All rights reserved

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How to design a noise-optimized transimpedance amplifier (photodetector, photodiode) amplifier)

  • 1. - + How to design a transimpedance amplifier for minimum noise Larry Miller PhD www.linkedin.com/in/lrmiller miller@elect-design.com Copyright 2014 Larry Miller All rights reserved
  • 2. How to design a transimpedance amplifier for minimum noise Transimpedance amplifiers are used to amplify small signals from devices such as photodiodes with high source impedance. Below 1000 MHz, silicon JFETโ€™s (junction field-effect transistors) and silicon bipolar transistors are commonly used as the first stage, because of their relatively low voltage noise. Often, integrated circuit op amps (operational amplifiers) using these transistors as first stage are used. Choosing between a JFET-input and a bipolar-transistor-input op amp is a balancing act: JFETโ€™s typically have voltage noise spectral density of 5 nV / ๐ป๐‘ง , versus the typical 5 nV / ๐ป๐‘ง of bipolar transistors. Although bipolarโ€™s have lower voltage noise than JFETโ€™s, JFETโ€™s have far less current noise: typically a few femtoamps / ๐ป๐‘ง versus a fewanoamps / ๐ป๐‘ง for bipolars. Copyright 2014 Larry Miller All rights reserved
  • 3. How to design a transimpedance amplifier for minimum noise The effective equivalent input current noise of a simple op-amp style transimpedance amplifier is roughly1 the quadrature sum of In (the first-stage input current noise) and Vn /R (the first-stage input voltage noise divided by the transimpedance): Inequiv โ‰ˆ ๐ผ ๐‘› 2 + ๐‘Ž๐‘๐‘  ๐‘‰ ๐‘› | ๐‘๐‘–๐‘› 2 + 4๐‘˜๐‘‡/๐‘… . Where Z๐‘–๐‘› is impedance seen by the op amp input terminal: Z๐‘–๐‘› = Zs in parallel with R and with Zopin , with Zs representing the source impedance, and Zopin representing the input impedance of the op amp. The last term is the Johnson noise of the feedback transimpedance-determining resistor; this term applies if using a room temperature resistor. 1. Second and following stage noise is ignored and partial correlation between voltage and current noise is ignored Copyright 2014 Larry Miller All rights reserved
  • 4. How to design a transimpedance amplifier for minimum noise The op amp input often as significant capacitance, and frequently the source impedance is not resistive; for example for photodiodes it is usually approximately capacitive with a low series resistance. In these cases, Inequiv varies with frequency, tending to be dominated by voltage noise at higher frequencies and by current noise and Johnson noise from the feedback resistor at lower. Thus, because of its lower current noise, a JFET input stage would generally be preferable at lower frequencies and a bipolar input stage would be preferred at higher. It is best to evaluate the noise performance of both options before choosing. The following slides show this calculation. The following slides also include a โ€œthirdโ€ option, which is using a particularly low-voltage-noise JFET, the NXP Semiconductor BF862 ahead of a bipolar op amp, with the JFET within the overall feedback loop. The BF862 has voltage noise of 0.8 nV / ๐ป๐‘ง, comparable to that of the best bipolar transistors. It however has an input capacitance of 10 pF, and thus Zopin is about 1/(2 ฯ€ f * 10 pF). Copyright 2014 Larry Miller All rights reserved
  • 5. Configurations 1 bipolar op amp and 2 JFET op amp - + Cf Ci Rf Vdiodesup (negative) Eo Id Ide If Ein Ci = input capacitance: 15 pf assumed (sum of diode, trace, and op amp in cap.) Cf = feedback capacitance: 0.1 pf Rf = feedback resistance: 160 K ohm Config.1: LT1028bipolaropamp en=0.9typ,1.2max nV/rootHz in=1.0typ,1.8max pA/rootHz Config.2: OPA657 FETopamp en=4.8typ nV/rootHz in=1.3typ,femtoA/rootHz 5Copyright 2014 Larry Miller All rights reserved
  • 6. - + Cf Ci Rf Vdiodesup (negative) Eo Id Ide If Ein Vpos_sup Vneg_sup Configuration 3 JFET input stage feeding bipolar op amp Ci = input capacitance: 15 pf assumed (sum of diode, trace, and JFET cap) Cf = feedback capacitance: 0.1 pf Rf = feedback resistance: 160 K ohm Rb = JFET current bias R: 5 mA w/ no input Rb BF862 LT1028 BF862 JFET transistor en = 0.85 typ nV/root Hz LT1028 bipolar op amp en = 0.9 typ, 1.2 max nV/root Hz 6Copyright 2014 Larry Miller All rights reserved
  • 7. Config. 1 Bipolar input op amp Config. 2 FET input op amp Config. 3 JFET trans. plus bipolar op amp TI LT1028AM +-15 v supply TI OPA657 NXP BF862+ LT LT1028 Equiv input current noise /root Hz 1KHz - 400 kHz 1.0 typ pA 0.32 typ pA 0.30 typ pA Equiv input current noise per root Hz at 1 MHz 1.2 typ pA 0.54 typ pA 0.33 typ pA Equiv input current noise per root Hz at 4 MHz 1.0 typ pA 1.7 typ pA 0.78 typ pA Equiv input current noise per root Hz at 10 MHz 1.35 typ pA 4.5 typ pA 3.4 typ pA Equiv input current noise per root Hz at 50MHz 3.4 typ pA 18 max pA 7.8 typ pA Expected noise level, for the three preamplifier configurations Copyright 2014 Larry Miller All rights reserved