# Biasing Scheme for CMOS Telescopic Amplifier

Telescopic amplifier has higher DC gain due increased output resistance because of cascode transistor. The gain improvement is obtained at the cost of lower output swing. The output swing limitation comes from more number of devices in the stack and also due to biasing scheme employed for cascode transistors. Some of the popular biasing schemes are discussed here.

## Scheme-1

Consider a telescopic cascode amplifier with the biasing scheme as shown in Figure 1. The right and left half circuits are identical, therefore they carry equal currents at the DC operating point. In this analysis secondary effects, like channel length modulation or body effect, are not considered.

Let is the overdrive required for -transistor () to carry a current equal to in saturation region. Then

(1)

Nominally is same as due to circuit similarity and identical biasing conditions. Even the intrinsic feedback of the circuit forces to be nominally same as

.
The output swing in positive direction is limited by M6 and negative direction by M8 by going into linear region.
The upper limit of

The limits on the output swing are

Therefore, the total output swing is limited to around DC operating point. The upper swing can be improved by cascode current scheme and lower swing by some other technique.

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