Question:-
For a time invariant sysytem the different combinations of the input xi[n] and corresponding output yi[n] are given below. The arrow indicates the position of xi[0] and yi[0].
x1[n] = { .... , 0, 3­,2,0,......} and y1[n] = {....0,0­,2,3,0,.....}

x2[n] = {.....,0,0­,2,0,....} and y2[n] = {....,0,0­,2,2,4,0,...}

x3[n]={....,0,3­,0,....} and y3[n]= {....,0,0,3­,6,0,....}

x4[n] = {....0,0­,0,1,0,....} and y4[n] = {....,0,3,2,0­,0,....}

The impulse response h[n] of the system is
Option (A)
{...,0,0­,2,1,-4,0,...}
Option (B)
{....,0,1­,1,2,0,….}
Option(C)
{...., 0,3,2,0,0,0­,0,...}
Option(D)
{....,0,1­, 2,0,...}
Correct Option:
(B)
question-answer-faq-2007