On the Statistics of Spectrogram Reassignment Vectors*

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Abstract

Reassignment is a non-linear technique which can improve on the localization of a spectrogram by moving its values according to a suitable vector field. Statistical properties of spectrogram reassignment vectors are investigated in detail. Closed form expressions are given when the observation consists in a non-random component embedded in white Gaussian circular noise, and when the analysis window is Gaussian. An extension to arbitrary windows is also proposed and theoretical claims are supported by numerical simulations.

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