Paper ID: 2308.02418

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

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

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.

Submitted: Jul 26, 2023