Consider two finite-length sequences x[n] and h[n] for which x[n] = 0 outside the interval 0

Question:

Consider two finite-length sequences x[n] and h[n] for which x[n] = 0 outside the interval 0 ≤ n ≤ 49 and h[n] = 0 outside the interval 0 ≤ n ≤ 9.

(a) What is the maximum possible number of nonzero values in the linear convolution of x[n] and h[n]?

(b) The 50-point circular convolution of x[n] and h[n] is 

x[n](50)h[n] = 10,       0 ≤ n ≤ 49.

The first 5 point of the linear convolution of x[n] and h[n] are 

x[n] * h[n] = 5,             0 ≤ n ≤ 4.

Determine as many points as possible of the linear convolution of x[n] * h[n].  

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For  book-img-for-question

Discrete Time Signal Processing

ISBN: 978-0137549207

2nd Edition

Authors: Alan V. Oppenheim, Rolan W. Schafer

Question Posted: