Suppose you cascade an  interpolator (an upsampler and a low-pass filter) and a decimator (a  low-pass filter and a downsampler).

(a) If both the interpolator and the decimator have the same rate  M, carefully draw a block diagram of the interpolator-decimator  system.

(b) Suppose that the interpolator is of rate 3and the decimator of rate  2, carefully draw a block diagram of the interpolator-decimator.  What would be the equivalent of sampling the input of this system to obtain the same output?

(c) Use the MATLAB functions interpand decimateto process the first  100 samples of the test signal handel where the interpolator’s rate is  3 and the decimator’s 2. How many samples does the output have?