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Q#1 LTI Systems GATE EE 2006 MCQ +2 marks -0.66 marks

x[n] = 0; n <-1&n>0, x[-1]=-1, x[0]=2 is the input and y[n]=0; n<-1&n>2, y[-1]=–1=y[1], y[0]=3, y[2]=-2 is the output of a discrete time LTI system.  The system impulse response h[n] will be

h[n]=0; n <0,n> 2,h[0] = 1,h [1] = h[2] = –1

h[n]=0; n <–1,n>1, h[–1] = 1, h[0] = h[1] = 2

h[n] = 0; n <0,n> 3, h [0] = –1, h[1] = 2,h[2] = 1

h[n] = 0; n <–2,n>1, h[-2] = h[1] = h[–1] = –h[0] = 3

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