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Fourier, Gabor, Morlet or Wigner: Comparison of Time-Frequency Transforms

2021/01/17 by Stefan Scholl, Scholl, Stefan
Computer Science · Engineering · #Advanced Electrical Measurement Techniques #FOS: Electrical engineering #Image and Signal Denoising Methods #Machine Fault Diagnosis Techniques #Signal Processing (eess.SP) #eess.SP #electronic engineering #information engineering

paper · pdf · doi:10.48550/arxiv.2101.06707

arxiv created 2021/01/17 · openalex publication_date 2021/01/17 · arxiv updated 2021/01/19 · openalex created_date 2021/02/01 · openalex updated_date 2026/07/28

Abstract

In digital signal processing time-frequency transforms are used to analyze time-varying signals with respect to their spectral contents over time. Apart from the commonly used short-time Fourier transform, other methods exist in literature, such as the Wavelet, Stockwell or Wigner-Ville transform. Consequently, engineers working on digital signal processing tasks are often faced with the question which transform is appropriate for a specific application. To address this question, this paper first briefly introduces the different transforms. Then it compares them with respect to the achievable resolution in time and frequency and possible artifacts. Finally, the paper contains a gallery of time-frequency representations of numerous signals from different fields of applications to allow for visual comparison.

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