Electrical Engineering Department Digital Signal Processing Assignment #1 Date: 27 Sept, 2011 (Due in Two Weeks) Exercise 1 The impulse response of an LTI system is given by: h[n] =2nu[1-n] Determine the output of the system for the following input sequence: x[n] =u[n-1] u[n-10] Exercise 2 Let Be the DTFT of sequence x[n]: 1.Find the sequence x[n]. 2.Calculate ] X(nnc]o) cos() J. Exercise 3 Determine whether the following systems are (i) stable, (ii) casual, (iii) linear (iv) time variant and (v) memoryless. 1.T{x[n]} =ex[n] 2.T{x[n]} =x[n-1]sin(n+1) 3.T{x[n]} =x[(n-1)2]