Article | REF: AF146 V1

Distributions - Applications

Author: Michel DOISY

Publication date: October 10, 2006

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5. Application to second-order stationary processes

In this section, we discuss the application of distributions to the study of certain random signals. This method – undoubtedly insufficiently used in practice – can be very useful in the spectral analysis of random signals. First, we briefly review the main properties of the autocorrelation function of a second-order stationary process . Then, using a few examples of processes used in signal theory, we will show how the properties of distributions can be used.

5.1 A reminder of second-order stationary processes

A second-order random process...

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Application to second-order stationary processes