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Unformatted text preview: 3. [30] A sourcedegenerated PMOS differential ampliﬁer is shown below. Assume Id 2 ék’[%J(Vp — V,h)2, k' = 40,uA/V2 , and = 5 for M1 and Al; in your calculation. You may ignore capacitance in your calculation for low frequencies. Answer the following
questions. 1) Assuming sine—wave input drive, what input amplitude would produce 1% M3 at the
output? [20] 2) If two identical stages of the amplifier are cascaded, repeat the calculation in 1). Take
the output from the second stage. [10] " K 9‘ _ «A. " 7 ‘ 7 ,
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"for LmnmmL—made, ﬁtpmi’, 3. [25] In the fullydifferential ampliﬁer shown below, all transistors are biased in the
forward active region. Assume that the circuit is balanced and the gm of Q1 and Q; are
known. Ignore the ro’s of Q1 and Q2. Consider only the capacitors shown in the schematic. :bO 1) What is the lowfrequency small—signal voltage gain? [5]
2) What is the smallsignal voltage gain at very high frequency? [5] 3) Sketch the frequency response (both magnitude and phase) of the voltage gain of this
ampliﬁer. Calculate the frequencies of the poles and zeros if any. You may assume gm REE >> 1 to simplify your ﬁnal results. [10] .4) A fully—differential ampliﬁer typically requires output commonmode control. Explain
‘ what problem this circuit may have if four simple BIT current mirrors are used to
implement the 13’s. Suggest a ﬁx for the problem. [5] l) MVM drown" = 3M
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 Fall '11
 YUNCHIU

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