The present application is directed to photo receiver circuits that provide higher signal bandwidth and lower noise than conventional circuits.
Photo receiver circuits are widely used in fiber optic communication systems and lidar systems to convert a received light signal into a voltage signal for subsequent processing. Transimpedance amplifiers (TIA) based on an operational amplifier (op amp) with a feedback resistor have been used as a front end of a photo receiver circuit. However, conventional photo receivers have limitations and drawbacks. For example, due to the presence of various parasitic capacitances, the signal bandwidth and the noise of the circuit can be compromised.
Examples of prior photo receiver circuits are shown in
One embodiment is directed to a photo receiver circuit comprising a photo diode, a first amplifier having an input terminal and an output terminal, a second amplifier having an input terminal and an output terminal providing a voltage level shift between the input terminal and the output terminal, and a feedback resistor. The photo diode receives a light signal producing a photo current, and the feedback resistor is electrically coupled to the input terminal and the output terminal of the first amplifier. The photo diode is also electrically coupled to the input terminal and the output terminal of the second amplifier, and the input terminal of the second amplifier is electrically coupled to the input terminal of the first amplifier. The first amplifier produces an output voltage proportional to the photo current.
Another embodiment is directed to a pseudo differential photo receiver circuit comprising a first photo diode and a second photo diode, a first amplifier having an inverting input terminal, a noninverting input terminal, an inverting output terminal, and a noninverting output terminal, a second amplifier having an input terminal and an output terminal providing a voltage level shift between the input terminal and the output terminal, and a first feedback resistor and a second feedback resistor. The first photo diode receives a light signal producing a photo current, and the feedback resistor is electrically coupled to the inverting input terminal and the noninverting output terminal of the first amplifier. The first photo diode is also electrically coupled to the input terminal and the output terminal of the second amplifier, and the input terminal of the second amplifier is electrically coupled to the input terminal of the first amplifier. The first amplifier produces an output voltage proportional to the photo current.
It should be appreciated that all combinations of the present concepts and additional concepts discussed in greater detail below (provided such concepts are not mutually inconsistent) are contemplated as being part of the inventive subject matter disclosed herein. In particular, all combinations of described subject matter appearing at the end of this disclosure are contemplated as being part of the inventive subject matter disclosed herein. It should also be appreciated that terminology explicitly employed herein that also may appear in any disclosure incorporated by reference should be accorded a meaning most consistent with the particular concepts disclosed herein.
The skilled artisan will understand that the drawings primarily are for illustrative purposes and are not intended to limit the scope of the inventive subject matter described herein. The drawings are not necessarily to scale; in some instances, various aspects of the inventive subject matter disclosed herein may be shown exaggerated or enlarged in the drawings to facilitate an understanding of different features. In the drawings, like reference characters generally refer to like features (e.g., functionally similar and/or structurally similar elements).
As mentioned earlier, conventional photo receiver circuits exist, and some examples of these are given, e.g., in
The photo receiver circuit 100 of
V
O
=I
I
·R
L (1)
The transimpedance RT of the circuit is defined as the ratio between the output voltage VO and the input current II such that
As the signal frequency increases, the photo current begins to be diverted to the parasitic capacitance CP1 (120), reducing the output voltage.
The frequency where the magnitude of the output voltage drops 3 dB from the low frequency value is defined as a “signal bandwidth”. From Equation (3), it can be shown that the signal bandwidth ωh (in radians/second) is
In a lidar system, as an example, the photo current is usually small, e.g., less than 1 μA. In order to generate a high enough output voltage, typical RL values may be on the order of 10 kΩ so that a 10 mV voltage signal is obtained from the 1 μA photo current. With a typical value of 2 pF for Cp1, the resulting signal bandwidth is only 8 MHz. However, in lidar systems, 150 MHz or higher signal bandwidth is desired for sufficient distance resolution.
In
V
O
=−I
I
·R
f (6)
The transimpedance of the circuit 200 is then
For a transimpedance of 10 kΩ, Rf=10 kΩ.
The feedback capacitor Cf (240) is used for stability of the feedback loop. The frequency dependent output voltage is
The corresponding signal bandwidth is then
For Rf=10 kΩ, by making Cf=0.1 pF, 160 MHz signal bandwidth is achieved.
In an aspect, the bandwidth of the feedback loop is made substantially higher than the signal bandwidth so that it does not affect the signal bandwidth. At high frequencies, Cf dominates over Rf, and the feedback factor β of the feedback loop is approximately
The bandwidth of the loop ωloop is then
where ω1 is the unity-gain bandwidth of the op amp.
For Cp=2 pF and Cf=0.1 pF,
For the loop bandwidth to be much larger than the signal bandwidth of 160 MHz, the unity gain bandwidth f1 (in Hz) of the op amp must be substantially higher than 21×160 MHz=3.36 GHz. Such an op amp would consume a large amount of power.
Another problem with conventional circuits such as the photo receiver circuit in
The total in-band mean square noise at the output is then
v
on
2
where Sop is the input referred noise spectral density of the op amp.
In the signal band, f<fh, thus Gnop(f) can be approximated
Assuming only white noise, it can be shown that
Typically, the noise spectral density Sop(f) of the op amp is high, because there are a number of transistors that contribute noise in an op amp structure, resulting in high in-band noise. In order to lower op amp noise spectral density Sop(f), thus the mean-square noise von2, power consumption and the area of the op amp is increased accordingly.
Feedback capacitor Cf (324) is used for stability of the feedback loop containing feedback resistor 322 in the transimpedance amplifier 310. However, Cf can be made significantly smaller than that in the prior art examples (e.g.,
The corresponding signal bandwidth is then
For Rf=10 kΩ, by making Cf=0.02 pF, 800 MHz signal bandwidth is achieved, which is five times higher than that of a conventional circuit of
It should be understood that the specific examples and illustrations provided herein are exemplary and not limiting. The particular elements of the figures illustrating the embodiments of the invention may have other values and arrangements than the illustrative ones given herein without loss of generality. Also, additional or equivalent elements may be employed as best suits a given application, and those skilled in the art will appreciate that these variations are comprehended by this disclosure and claims.
In an aspect, the bandwidth of the feedback loop of transimpedance amplifier 310 can be substantially higher than the signal bandwidth so that it does not affect the signal bandwidth, which is the frequency at which the amplitude of the output voltage drops by 3 dB, as discussed earlier. Since the parasitic capacitor Cp1 is bootstrapped by the level shifting amplifier 340, the op amp 320 has unity gain feedback at all frequencies. Thus, the feedback factor β of the feedback loop is unity, i.e.,
β=1 (19)
The bandwidth of the loop ωloop is then
ωloop=ω1 (20)
where ω1 is the unity-gain bandwidth of the op amp.
For the loop bandwidth to be substantially larger than the signal bandwidth of 800 MHz in our example, the unity gain bandwidth f1 (in Hz) of the op amp must be made much higher than 800 GHz. Even at five times higher signal bandwidth, the op amp unity gain bandwidth requirement is more than four times smaller compared with the conventional circuit of
We emphasize again that the illustrative values and examples presented are for the sake of explanation, and any preferred embodiments or examples are not limiting of the invention, as would be appreciated by one of skill in the art.
The embodiments described herein (e.g.,
G
loop(ω)=1 (21)
The total in-band mean square noise at the output due to the op amp 320 is then
v
on,op
2
Assuming only the white noise, the output noise due to the op amp is
v
on,op
2
This is lower by a factor of
than that in the conventional circuit of
Since the level shifting amplifier 340 also introduces noise, its effect to the output noise must be considered. The transfer function from the level shifting amplifier noise to the output is given by
In the signal band, f<fh, Gnls(f) can be approximated as
G
nls(f)≈j2πfRfCp1 (25)
The total in-band mean square noise at the output due to the level shifting amplifier is then
v
on,ls
2
where Sls(f) is the noise spectral density of the level shifting amplifier referred to its own input.
Assuming only the white noise,
The total mean square noise at the output of the transimpedance amplifier is the sum of the op amp mean square noise (Eqn. 22) and the level shifting amplifier mean square noise (Eqn. 27), and is given by
Since the level shifting amplifier 340 has a simpler design than an op amp, typically Sls(f)<<Sop(f). Therefore, the noise of the circuit in
The output mean-square noise is increased to
The corresponding output mean-square noise is then
Therefore, if the parasitic capacitance Cp2 approaches the value of the feedback capacitor Cf (524), the output mean-square noise due to the op amp will increase appreciably. The total output mean square noise becomes
Since Sls(f)<<Sop(f), the noise of the circuit in
then it can be shown that the op amp noise gain is back to unity as in the case with Cp2=0. However, the increased amplifier gain increases noise gain from the level shifting amplifier 540
The corresponding output mean square noise is
and the total output mean square noise is
Since Sls(f)<<Sop(f), the noise in the photoreceiver circuit 500 is still substantially less than that in the conventional circuit of
As stated, the present circuits will vary in their specific designs and in the values of the circuit elements therein, according to the application for which a given circuit is to be used, and other factors. All such embodiments are considered within the scope of the invention and appended claims.
The parasitic capacitance Cp1 includes the reverse-biased junction capacitance of the active photodiodes in the present embodiments. The parasitic capacitance Cp2 includes the reverse-biased junction capacitance of the dummy photodiodes in the present embodiments. Typically, the junction capacitance becomes smaller at a larger reverse bias voltage. In one or more embodiments, we make the biasing voltage VBIAS in
where gm is the transconductance of the transistor 1010 (which is the same as that of the transistor 1020), and Ro is the value of the resistors 1012 and 1022. The amount of level shift is
where VI is the DC common-mode level of the input voltages at the level shifting amplifier 1000.
The level shifting amplifier 1000 can be used as a differential level shifting amplifier 138 as shown in
While various inventive embodiments have been described and illustrated herein, those of ordinary skill in the art will readily envision a variety of other means and/or structures for performing the function and/or obtaining the results and/or one or more of the advantages described herein, and each of such variations and/or modifications is deemed to be within the scope of the inventive embodiments described herein. More generally, those skilled in the art will readily appreciate that all parameters, dimensions, materials, and configurations described herein are meant to be exemplary and that the actual parameters, dimensions, materials, and/or configurations will depend upon the specific application or applications for which the inventive teachings is/are used. Those skilled in the art will recognize, or be able to ascertain using no more than routine experimentation, many equivalents to the specific inventive embodiments described herein. As a specific example, it may be desired to use PMOS input transistors in the amplifier circuits in
Also, the technology described herein may be embodied as a method, of which at least one example has been provided. The acts performed as part of the method may be ordered in any suitable way. Accordingly, embodiments may be constructed in which acts are performed in an order different than illustrated, which may include performing some acts simultaneously, even though shown as sequential acts in illustrative embodiments.
This application claims priority to U.S. Provisional Application No. 62/783,928, entitled “Photo Receiver Circuits,” filed on Dec. 21, 2018, which is hereby incorporated by reference.
Number | Date | Country | |
---|---|---|---|
62783928 | Dec 2018 | US |