Question: QUESTION Derive state equation and output equation for direct II form. Let a discrete-time system have the state variable description given by A= 19-213 ,

QUESTION Derive state equation and output equation for direct II form. Let a discrete-time system have the state variable description given by A= 19-213 , 2-1-1, 0-101 odernes a 2 a b= qi'l: 0 q2'[n] = 3q2[n]. (i) Find the new state variable description given by A, b', c' and D'. (ii) Draw a block diagram corresponding to the new state-variable description computed in (i). Section - II Answer the following questions Answer the following questions 1. You are given x] =(4) un} xle). Find y] if (a) ylem) = 2*4xle") (b) yle) d x(e) d 2. Find DTFT of the following signals using its properties (1) *[n]=n xn=( -Cu[n+2] (2) x] = cosr(y) win-21 un [( Using convolution pro erty (frequency domain) determine the convolution y[n]=x[n]*h[n] of the sequence x[n] = {1 1 1), h[n]=8[n+1]+8[n]+8[n-1). OR Derive exponential FS form from the trigonometric form of FS. Determine the complex exponential Fourier series representation for the following signal
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