Each of the following parts lists an input signal x[n] and the upsampling and downsampling rates L and M for the system in Figure. Determine the corresponding output x_d[n].?

(a) x[n] = sin(2? n/3) / ? n, L = 4, M =3

(b) x[n] = sin(3? n/4), L = 3, M = 5

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Interpolator Decimator Lowpass filter Gain = 1. Cutoff = m/L Lowpass filter Gain = 1 Cutoff = m/M [n] x(n] x,{n] x,[n] Sampling period: T т TM L. L. (a) Lowpass filter Gain = L Cutoff = In] min (7/L. T/M) Sampling period: TM L. L. (b)