If h(n) is the impulse response of an LTI system T and h1(n) is the impulse response of the inverse system T-1, then which of the following is true?
A. [h(n)*h1(n)].x(n)=x(n)
B. [h(n).h1(n)].x(n)=x(n)
C. [h(n)*h1(n)]*x(n)=x(n)
D. [h(n).h1(n)]*x(n)=x(n)
Answer:A
If h(n) is the impulse response of an LTI system T and h1(n) is the impulse response of the inverse system T-1, then which of the following is true?
A. [h(n)*h1(n)].x(n)=x(n) B. [h(n).h1(n)].x(n)=x(n) C. [h(n)*h1(n)]*x(n)=x(n) D. [h(n).h1(n)]*x(n)=x(n)
Explanation: . If h(n) is the impulse response of an LTI system T and h1(n) is the impulse response of the inverse system T-1, then we know that h(n)*h1(n)=δ(n)=> [h(n)*h1(n)]*x(n)=x(n)