Power spectral density
The random functions
Quizzed article REF: R220 V2
Power spectral density
The random functions

Author : Bernard DEMOULIN

Publication date: March 10, 2014, Review date: June 1, 2021 | Lire en français

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4. Power spectral density

4.1 Power spectral density of deterministic signals

A "deterministic signal" is a function x (t) whose evolution with the time variable t is perfectly predictable and, if necessary, can be expressed analytically. In the case of measurement data, if analytical description is impossible, the function will be presented as a sequence of numerical samples. The developments in this sub-section 4.1 are intended for either presentation.

  • Definition and properties of the spectrum of a bounded signal

    The concept of power spectral density uses the properties of Fourier transforms applied to any bounded signalx (t) depending on the time variable t. We'll say that the spectrumX (f) of the bounded signal x (t) results from...

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