Q9 The discrete-time signals x1[n] is shown in the figure. Carefully sketch each of the following signals: a) x1[2n] - u[n-2] b) x1[n]*u[1-n] c) x1[-2n-3] (d) Compute the signal energy -1 *x;[n] + 10 1 2

Prob 1: For each of the 8 circuits below, draw small signal model and calculate Vout/Vin. Vh1 Vh2 are dc voltage sources, and Il is an ideal dc current source. Ignore body effect for all problems. Vino- M3H M₂ VDD (a) →Vb3 Vb2 Vout M₁ →Vb1 J HE VDD M3 (b) - Vout VinM₂ 4M₁ J VDD M3 VinM₂ 4M₁ (c) Vout

(i) For the circuit below, draw the output waveforms for both the given input wave- forms. (ii) How can you convert this circuit into a half-bridge by removing any two compo- nents? Please draw a circuit diagram. Also, draw the current flow through the modified circuit. This can be done by annotating the modified circuit diagram. M (i) (ii)

(a) A discrete-time signal x[n] is shown in Figure 1. x[n] 3 1 -1 Figure 1: Discrete-time Signal x[n] (i) Sketch and label x[2n] - x[n- 1] (ii) Sketch and label 2x[n]{u[n] - u[-n] }