110年 - 110 國立臺灣大學_碩士班招生考試_電子工程研究所甲、乙組:電子學(D)#102155

(a) For a CMOs inverter with (W /L)_N = (W /IL)_P, the propagation delay is given as

(b) The static power dissipation of a CMOS inverter is proportional to the operating frequency.

(c) The dynamic power dissipation of a CMOS inverter is independent of the transistor size.

(d) The switching threshold of a matched CMOS inverter depends on the size of the transistors.

(e) For a CMOS inverter, NMu increases as (W/L)_N increases.

(a) A latch circuit has two stable states.

(b) The static power dissipation of 6T CMOS SRAM cells is 0.

(c) SRAM is a non-volatile memory.

(d) DRAM is a non-volatile memory.

(e) The read operation of a SRAM cell has to be nondestructive.

(a) Draw the midband small-signal equivalent circuit and find the voltage gain (V_o/V_S). [10%]

(b) Find the input resistance of the amplifier. [5%]

(c) It is obvious that the gain depends on the value of Ro. How do you choose R_G to achieve a voltage gain of–4? [5%]

(d) In order to evaluate the high-frequency response of the circuit, please draw the small-signal equivalent circuit by including . [5%]

(e) Given tha = 50 fF, use time constant method to evaluate the 3-dB frequency of the amplifier. [10%]

(a) Derive the transfer function T(s) = V_o/V_i, of the circuit. [10%]

(b) For m = 2, find the magnitude and phase of the transfer function at ω = 1/RC. [5%]

(c) To ensure no gain peaking in the frequency response, how do you choose the design parameter m? [5%]

(a) In order to avoid systematic output dc offset, find the ratio of, [5%]

(b) Based on the small-signal equivalent circuit in Fig. 5(b), derive the low-frequency gain, unity-gain frequency (ω_t). Also find the frequencies of the dominant pole, the second pole () and the zero (ω_z). [10%]

(c) It is found that ω_t = ω_z fork = 1. Calculate the phase margin of the op-amp for k= 2.[10%]

(a) For V_x = 0V and V_Y = 1.8 V, find the charging current through M₁. [2%]

(b) For V_x =OV and V_Y = 0.9 V, find the charging current through M₁. [2%]

(c) Based on the charging currents in (a) and (b), please evaluate the propagation delay. [1%)

(d) For V_x = 1.8 V and V_Y = 0 V, find the charging current through M₁. [2%]

(e) For V_x = 1.8V and V_Y= 0.9 V, find the charging current through M₁. [2%]

(f) Based on the charging currents in (d) and (e), please evaluate the propagation delay [1%)

110年 - 110 國立臺灣大學_碩士班招生考試_電子工程研究所甲、乙組:電子學(D)#102155

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