Question

Show that if x(t) is a stationary process with derivative x'(t), then for a given t the random variables x(t) and x'(t) are orthogonal and uncorrelated.

Name: Show that if x(t) is a stationary process with derivative x'(t), then for a given t the random variables x(t) and x'(t) are orthogonal and uncorrelated.
Uploaded: 2022-03-17T08:03:29-08:00
Duration: 3 min 24 s
Channel: Juhi Singh
Description: Show that if x(t) is a stationary process with derivative x'(t), then for a given t the random variables x(t) and x'(t) are orthogonal and uncorrelated.

          Show that if x(t) is a stationary process with derivative x'(t), then for a given t the random variables x(t) and x'(t) are orthogonal and uncorrelated.

Added by Tasha T.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Juhi Singh

03/17/2022

Step 1

A process \(x(t)\) is said to be stationary if its statistical properties do not change over time. This means that for any given time shift \(\tau\), the statistical properties of \(x(t)\) are the same as those of \(x(t + \tau)\). The derivative of \(x(t)\), Show more…

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