If f(n) is a periodic sequence with a period N. x(n) = x(n + N) F(n) is also periodic with period 3N. Let X (k) denote the DFS coefficient of f(n) when considered to be periodic with a period N, and let X3(k) be the DFS coefficients of f(n) when considered to be periodic with a period 3N. Express the DFS coefficients X(k) in terms of X (k ).
If f(n) is a periodic sequence with a period N. x(n) = x(n + N) F(n) is also periodic with period 3N. Let X (k) denote the DFS coefficient of f(n) when considered to be periodic with a period N, and let X3(k) be the DFS coefficients of f(n) when considered to be periodic with a period 3N. Express the DFS coefficients X(k) in terms of X (k ).
Introductory Circuit Analysis (13th Edition)
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Author:Robert L. Boylestad
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![6.42
If f(n) is a periodic sequence with a period N,
x(n) = x(n +N)
F(n) is also periodic with period 3N. Let X (k) denote the DFS coefficient of f(n) when considered to be periodic
with a period N, and let X3(k) be the DFS coefficients of F(n) when considered to be periodic with a period 3N.
Express the DFS coefficients X 3(k) in terms of X (k).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4d76b64c-91ab-49bd-a322-03713e88e27a%2Faa265051-937e-4dfc-bc1f-a6535f10921b%2Flh9weea_processed.jpeg&w=3840&q=75)
Transcribed Image Text:6.42
If f(n) is a periodic sequence with a period N,
x(n) = x(n +N)
F(n) is also periodic with period 3N. Let X (k) denote the DFS coefficient of f(n) when considered to be periodic
with a period N, and let X3(k) be the DFS coefficients of F(n) when considered to be periodic with a period 3N.
Express the DFS coefficients X 3(k) in terms of X (k).
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