Question 2 A discrete-time system has the following form: y(n] = 1.9x[n] + 0.5x[n 1] 0.9y[a 1] +0.2y[n 2]. (1) with y[1] =0, y[2] =0. a) [2 marks] For all n > 0, find an expression for the unit-impulse response ft for at least the first 5 values arising from the input x[n] = 6|, where Ll a=0 3|n| = (2) 0 otherwise, b) [2 marks] Is the system stable? Justify your answer. c)[3 marks] A discrete-time rectangular pulse signal FP, of duration N, = 3 is defined by R= -_ (3) 0 otherwise, Compute Discrete-time Fourier Transform (DTFT) of the output signal {n] when the input signal is x(n] = Ps |i]. d) [3 marks] Let x [n] = x[-n-5] where x is given in (c) with the corresponding output yi . Compute the DTFT of yi [n]