Article | REF: R308 V1

Time-frequency representations in signal processing

Authors: Pierre-Yves ARQUÈS, Nadège THIRION-MOREAU, Éric MOREAU

Publication date: September 10, 2000

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4. Quadratic time-frequency representations

We restrict ourselves to the classical permanent case (continuous variables with unbounded supports). It can be extended in various ways to the discrete case.

4.1 Quadratic transformations for RTF

We consider deterministic permanent time signals, real or complex scalars.

Various quadratic transformations can be used to generate a second category of time-frequency representations (RTFs), known as quadratic representations (see table 4 ), which can be interpreted in energetic terms. Such a quadratic RTF (RTF-Q), also known as a bilinear RTF, can be considered as the restriction to X i = X j ...

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Quadratic time-frequency representations
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