Derive state equation and output equation for direct II form. Let a discrete-time system have the state-variable description given by 2 0 b= [2], c= [1 -1], D= [0] Define new states qi'[n] =2q;[n] and 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/n] =(u[n]) x(e"). Find y[n] if (a) y(e) = ex (e) (b) d x(e) y(em)= 2. Find DTFT of the following signals using its properties (1) x[n] = n( 3 ) *u{n+2] (2) x[n] = cos(n) (u[n-2] Using convolution property (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