6) Consider a system S with input x[n] and output y[n] related by y[n] = x[n]{g[n] + g[n – 1]} a) If g[n] = 1 for all n, show that S is time invariant. b) If g[n] = n, show that S is not time invariant.
6) Consider a system S with input x[n] and output y[n] related by y[n] = x[n]{g[n] + g[n – 1]} a) If g[n] = 1 for all n, show that S is time invariant. b) If g[n] = n, show that S is not time invariant.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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pLease help me for the question in the image
![6) Consider a system S with input x[n] and output y[n] related by
yln] = x[n}{g[n] + g[n – 1]}
a) If g[n] = 1 for all n, show that S is time invariant.
b) If g[n] = n, show that S is not time invariant.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F15bc08c2-eeee-48a0-9249-4af99042bda2%2Fd279553e-cb24-44f8-811b-59a85c53918f%2Filrlfd_processed.png&w=3840&q=75)
Transcribed Image Text:6) Consider a system S with input x[n] and output y[n] related by
yln] = x[n}{g[n] + g[n – 1]}
a) If g[n] = 1 for all n, show that S is time invariant.
b) If g[n] = n, show that S is not time invariant.
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