QA2 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. (6 marks) ii) Quadratic long division method (8 marks) From h[n], determine the magnitude and phase response in the frequency domain of the system. (6 marks) 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. a 15 marks)