114 年 國立成功大學微電子工程研究所《電子學》

The common-source (CS) amplifier in Fig. 1 is biased to operate at $g_m = 5$ mA/V, and has the following component values: $R_{sig} = 100$ k$\Omega$, $R_{G1} = 47$ M$\Omega$, $R_{G2} = 10$ M$\Omega$, $C_{C1} = 0.01$ $\mu$F, $R_s = 2$ k$\Omega$, $C_s = 10$ $\mu$F, $R_D = 4.7$ k$\Omega$, $R_L = 10$ k$\Omega$, and $C_{C2} = 1$ $\mu$F. Neglect $r_o$ and find (a) gain ($A_M = V_o/V_{sig}$), (b) input pole ($f_{p1}$), (c) source pole ($f_{p2}$), (d) source zero ($f_{z1}$), (e) output pole ($f_{p3}$), and (f) -3dB frequency ($f_L$).

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The circuit in Fig. 2 utilizes a voltage amplifier with gain $\mu$ in a shunt-shunt feedback topology with a feedback network composed of resistor $R_F = 20$ k$\Omega$, input resistor $R_{in} = 2$ k$\Omega$, and load resistor $R_L = \infty$.

(a) If the amplifier $\mu$ has a DC gain of $10^3$ V/V, an input resistance $R_{id} = 100$ k$\Omega$, and an output resistance $r_o = 2$ k$\Omega$, find the actual $V_o/V_s$ realized. Also, find $R_{in}$ and $R_{out}$. (15%)

(b) If the amplifier $\mu$ has an upper-3dB frequency of 1 kHz and a uniform -20-dB/decade gain rolloff, what is the 3-dB frequency of the gain $|V_o/V_s|$? (5%)

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Please design a two-stage CMOS op amp, as shown in Fig. 3, for obtaining a dc gain of 4000 V/V. Assume that the available fabrication technology is of the 0.5-$\mu$m type for which $V_{tn} = |V_{tp}| = 0.5$ V, $k_n' = 200$ $\mu$A/V$^2$, $k_p' = 80$ $\mu$A/V$^2$, $V'_{An} = |V'_{Ap}| = 20$ V/$\mu$m, and $V_{DD} = |V_{SS}| = 1.65$V. To achieve a reasonable dc gain per stage, use $L = 1$ $\mu$m for all devices. Also, for simplicity, operate all devices at the same $|V_{ov}|$, in the range of 0.2 V to 0.4 V. The current is given to be $I = 200$ $\mu$A and $I_{D6} = 500$ $\mu$A, and $C_c$ is 1.8 pF.
Please give the values realized for the following parameters (4% each)
(a) input common-mode range,
(b) maximum possible range of the output swing,
(c) output resistance $R_o$,
(d) common-mode rejection ratio (CMRR),
(e) power-supply rejection ratio PSRR+,
(f) power-supply rejection ratio PSRR-,
(g) slew rate (SR),
(h) unit-gain frequency ($f_t$).

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