Question: Suppose s c (t) is a speech signal with the continuous-time Fourier transform S c (j) shown in Figure. We obtain a discrete-time sequence s

Suppose s_c(t) is a speech signal with the continuous-time Fourier transform S_c(jΩ) shown in Figure. We obtain a discrete-time sequence s_r[n] from the system shown in Figure, where H(e^jω) is an ideal discrete-time lowpass filter with cutoff frequency ω_c and a gain of unity throughout the passband, as shown in Figure. The signal s_r[n] will be used as an input to a speech coder, which operates correctly only on discrete-time samples representing speech sampled at an 8-kHz rate, Choose values of L, M, and ω_cthat produce the correct input signal s_r[n] for the speech coder.

| S,(jN) -2п . 4000 2т 4000 0(гаd/s) | sy[n] Не) s[n] м [4]

| S,(jN) -2 . 4000 2 4000 0(d/s) | sy[n] ) s[n] [4]"s s,[r] s(t) C/D T = (1/44.1) ms

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