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Elementary Linear Algebra (MindTap Course List)

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Inner Product Spaces

Section5.CR: Review Exercises

Problem 62CR

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A random process x(t) is applied to a network with impulse response h(t) u(t) t
exp (- bt) where b>0 is a constant. The cross-correlation of x(t) with the output
y(t) is known to have the same form.
Rxx(t) = u(t) T exp (– bt)
(a) Find the auto correlation of y(t) ?
(b) What is the average power in y(t) ?

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