Question

The sample of x(n)={1,2,3,1} and h(n)={1,2,1,-1}, origin at 2, is 7.

(a) True

(b) False

I have been asked this question by my college director while I was bunking the class.

Origin of the question is Discrete Time Convolution in chapter Time-Domain Analysis of CT Systems of Signals and Systems

Answer 1

The correct answer is (a) True

To explain I would say: The input starts at n=0 and impulse at n=-1. So, output starts at n=0+(-1)=-1.

Output at is =4+4=1=7 samples. So, its true.