The MOS differential amplifier in this problem is operated at a bias c

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The MOS differential amplifier in this problem is operated at a bias current of IREF = 0.8 mA. M1 and M2 have Kn′ = 0.2 mA/V2 and W/L = 100, RD = 5 kΩ and RSS = 25 kΩ. If the drain resistors have a 1% mismatch, find the small signal differential gain (Ad), the common mode gain (Acm), and the Common Mode Rejection Ratio (CMRR) in dB, defined as 20 log⁡|Ad|/|Acm|. Note, for DC purposes, neglect the effect of RSS and assume that IREF is split equally between the two arms. Do not neglect RSS for small-signal analysis and assume that VCM is set such that gm = 4 mA/V for M1 and M2.

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The MOS differential amplifier in this problem is operated at a bias current of

I_{R E F} = 0.8 m A

. M1 and

M 2

have

K_{n}^{'} = 0.2 m A / V^{2}

and

W / L = 100, R_{D} = 5 k Ω

and

R_{S S} = 25 k Ω

. If the drain resistors have a

1 %

mismatch, find the small signal differential gain

(A_{d})

, the common mode gain

(A_{c m})

, and the Common Mode Rejection Ratio (CMRR) in

d B

, defined as

20 \log | A_{d} | / | A_{c m} |

. Note, for DC purposes, neglect the effect of

R_{S S}

and assume that

I_{R E F}

is split equally between the two arms. Do not neglect

R_{S S}

for small-signal analysis and assume that

V_{C M}

is set such that

g_{m} = 4 m A / V

for

M 1

and M2.

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