Block-Adaptive Rényi Entropy-Based Denoising for Non-Stationary Signals

Sensors (Basel). 2022 Oct 28;22(21):8251. doi: 10.3390/s22218251.

Abstract

This paper approaches the problem of signal denoising in time-variable noise conditions. Non-stationary noise results in variable degradation of the signal's useful information content over time. In order to maximize the correct recovery of the useful part of the signal, this paper proposes a denoising method that uses a criterion based on amplitude segmentation and local Rényi entropy estimation which are limited over short time blocks of the signal spectrogram. Local estimation of the signal features reduces the denoising problem to the stationary noise case. Results, presented for synthetic and real data, show consistently better performance gained by the proposed adaptive method compared to denoising driven by global criteria.

Keywords: Rényi entropy; denoising; non-stationary signal; time-frequency distribution.