Suppose sc(t) is a speech signal with the continuous-time Fourier transform Sc(jΩ) shown...

Suppose s_c(t) is a speech signal with the continuous-time Fourier transform S_c(jΩ) shown in Figure P4.65-1. We obtain a discrete-time sequence s_r[n] from the system shown in Figure P4.65-2, where H(e^jω) is an ideal discrete-time lowpass filter with cutoff frequency ω_c and a gain of L throughout the passband, as shown in Figure 4.29(b). 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_c that produce the correct input signal s_r[n] for the speech coder.