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CMOS Optical Preamplifier Design Using Graphical Circuit Analysis

CMOS Optical Preamplifier Design Using Graphical Circuit Analysis

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3.3 A Low-Voltage Transimpedance Amplifier 57<br />

impedance looking into the source of M 1 is much lower than the impedance looking<br />

into the drain of M 2 , the input current will be redirected up through M 1 and into<br />

node A. The injected charge will adjust the gate voltage of M 2 such that at steady<br />

state, the input current is redirected down through M 2 . Since M 3 has the same gate-<br />

to-source voltage as M 2 , the input current is duplicated at the output. However,<br />

unlike a normal mirror whose input is biased at , the input voltage here is<br />

( V bias – V GS1)<br />

which is adjustable and can be reduced to V DSsat2 , the saturation<br />

voltage of M2 , before device M2 drops out of the active mode of operation.<br />

A transimpedance amplifier based around a current-gain amplifier is shown in<br />

Figure 3.14. The amplifier uses the traditional transimpedance structure of a gain<br />

stage shunted by a feedback resistor, but the traditional voltage amplifier is replaced<br />

by a current amplifier. The schematic convention used here is adopted from<br />

[Johns,1997] 2 . Here, the arrow marks the input and the direction of current flow, and<br />

A i<br />

is the open-loop current gain. It can be shown that the transimpedance gain of<br />

this structure is<br />

R in<br />

where is the amplifier’s input resistance which is typically low. A direct imple-<br />

mentation of Figure 3.14 using the current mirror in Figure 3.13 would require that<br />

2. Chapter 6, p. 266.<br />

i in<br />

A<br />

M 1<br />

M 2<br />

I B<br />

v bias<br />

V DD<br />

V GS2<br />

M 3<br />

Figure 3.13 Sub 1-V current mirror.<br />

v out<br />

--------<br />

i in<br />

R f Ai – Rin = – --------------------------- ≈ – R f<br />

1 + Ai I B<br />

i out = i in

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