Time-frequency analysis. Wavelets - Applications

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AF4511 V1 Article

Time-frequency analysis. Wavelets - Applications

Authors : José MARTINEZ, Pierre GAJAN, Alain STRZELECKI

Review date: February 4, 2020 | Lire en français

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AUTHORS

  • José MARTINEZ : Doctor of Science - Research engineer, Transiciel

  • Pierre GAJAN : Doctor of Science - Research engineer, Office national d'études et de recherches aérospatiales (ONERA)

  • Alain STRZELECKI : Doctor of Science - Research engineer, ONERA

 INTRODUCTION

The analysis of non-stationary signals requires an extension of stationary methods – and in particular of the frequency-only Fourier transform (TF) –, by introducing a temporal aspect. The theory of these methods – sliding-window Fourier analysis (FFG) and wavelet transform (TO) – is presented in a first part [AF 4 510]. The experimental applications presented here are based on fluid mechanics. They provide a concrete demonstration of the potential of these analysis tools.

Notations and symbols

Symbol

Unit

Definition

a

s

scale

As(t)
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