(Solution) - Suppose sc t is a speech signal with the continuous time -(2025 Original AI-Free Solution)

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Suppose sc(t) is a speech signal with the continuous-time Fourier transform Sc(j?) shown in Figure. We obtain a discrete-time sequence sr[n] from the system shown in Figure, where H(ej?) is an ideal discrete-time lowpass filter with cutoff frequency ?c and a gain of unity throughout the passband, as shown in Figure. The signal sr[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 ?c that produce the correct input signal sr[n] for the speech coder.