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.
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