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Differentiable adaptive short-time Fourier transform with respect to the window length

2023-07-26Code Available1· sign in to hype

Maxime Leiber, Yosra Marnissi, Axel Barrau, Mohammed El Badaoui

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Abstract

This paper presents a gradient-based method for on-the-fly optimization for both per-frame and per-frequency window length of the short-time Fourier transform (STFT), related to previous work in which we developed a differentiable version of STFT by making the window length a continuous parameter. The resulting differentiable adaptive STFT possesses commendable properties, such as the ability to adapt in the same time-frequency representation to both transient and stationary components, while being easily optimized by gradient descent. We validate the performance of our method in vibration analysis.

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