Question

a) The input sequence, x[n] to a finite impulse response discrete-time system and its corresponding output sequence,y[n], are: x[n] = 2,3,3,0,0,... y[n] = 2,7,15,19,15,6,0,0,... Determine the impulse response, h[n] of the system, while showing the full working, using: i) Decomposition method. ii) Quadratic long division method From h[n], determine the magnitude and phase response in-the frequency domain of the system. b) Sketch a non-recursive moving average digital filter with-four coefficients and your sketch should include all the-relevant variables including the appropriate values of the-four coefficients. Then demonstrate the calculations of the digital filter above with a suitable example.

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