Analysis of Transient Phase Response and Conversion Time Ts of CMOS Operational Amplifier

(1) Conversion time Ts

During the conversion, the input stage is in a limiting state, and the output current I 1 of the input stage is

The output voltage Vo is

Inverse Laplace transformation of the above formula gives

Since ω2 》ω1, the above formula can be simplified as

At t=Ts, the output voltage reaches,Right now

When t=Ts, the solution (3.3-9) is

becausethe formula can be simplified to

From the formula (3.1-3):

Substituting (3.3-13) into (3.3-12) to get

By (3.3-1), (3.3-9) and (3.3-13), the conversion rate SR is

Thus (3.3-14) can be written as

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