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].
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Related Book For
Discrete Time Signal Processing
ISBN: 978-0137549207
2nd Edition
Authors: Alan V. Oppenheim, Rolan W. Schafer
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