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Find: Voltage gain $A_v$ / small signal $A_v$ for circuit
written 5.9 years ago by | • modified 2.2 years ago |
Subject: CMOS VLSI Design
Topic: CMOS analog building blocks
Difficulty: Medium
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written 5.9 years ago by | • modified 2.2 years ago |
Subject: CMOS VLSI Design
Topic: CMOS analog building blocks
Difficulty: Medium
written 5.9 years ago by | • modified 5.9 years ago |
Small signal drain current of $M_1=g_{m_1}V_{in}$
$I_{D_1}=I_{D_2}$ $\therefore\ \ I_{D_2}=g_{m_1}V_{in}$
$M_2\ \ \&\ \ M_3$ forms Basic current mirror
$\therefore I_{D_3}=\frac{(\frac{W}{L})_3}{(\frac{W}{L})_2}I_{D_2}$
$\therefore I_{D_3}=\frac{(\frac{W}{L})_3}{(\frac{W}{L})_2}g_{m_1}V_{in}$
$V_{out}=R_L I_{D_3}$
$\therefore V_{out}=R_L \frac{(\frac{W}{L})_3}{(\frac{W}{L})_2}g_{m_1}V_{in}$
$\therefore A_v=\frac{V_{out}}{V_{in}}=R_L \frac{(\frac{W}{L})_3}{(\frac{W}{L})_2}g_{m_1}$