A random discrete-time sequence x(n) with mean value m, = 1 is processed by a filter with a z-transfer function (z + 1)(z? + 1) H(2) = z² – 2r cos 0 z + rž Derive output sequence y(n). Calculatel the mean value, my, of the output sequence in terms of r and 0.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A random discrete-time sequence x(n) with mean value m, = 1 is processed by a filter with a
z-transfer function
(z + 1)(z? + 1)
H(2) = 2 - 2r cos 0 z + r²
Derive output sequence y(n). Calculate/ the mean value, my, of the output sequence in terms of
r and 0.
Transcribed Image Text:A random discrete-time sequence x(n) with mean value m, = 1 is processed by a filter with a z-transfer function (z + 1)(z? + 1) H(2) = 2 - 2r cos 0 z + r² Derive output sequence y(n). Calculate/ the mean value, my, of the output sequence in terms of r and 0.
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