2019
DOI: 10.1109/access.2019.2903125
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Improved Wavelet Denoising by Non-Convex Sparse Regularization Under Double Wavelet Domains

Abstract: This paper presents a double wavelet denoising (DWAD) method, which can preserve more details of an original signal. Although the noise removal method based on wavelet transform has been widely used, it still performs poorly for the signals with a low signal-to-noise ratio (SNR) or frequency overlap. Different from the wavelet denoising methods based on a single basis function, the DWAD considers filtering the wavelet coefficients of the noisy signal by threshold functions under two different wavelet domains, … Show more

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Cited by 30 publications
(17 citation statements)
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References 49 publications
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“…Both the time and frequency window can be adjusted. Hence, it has a strong ability to extract local features of signals and detect singularity in signals [39]. The denoised signals can be obtained by employing the threshold function to filter the wavelet coefficients and conduct the wavelet reconstruction [40].…”
Section: Wavelet Packet Denoising Principlementioning
confidence: 99%
“…Both the time and frequency window can be adjusted. Hence, it has a strong ability to extract local features of signals and detect singularity in signals [39]. The denoised signals can be obtained by employing the threshold function to filter the wavelet coefficients and conduct the wavelet reconstruction [40].…”
Section: Wavelet Packet Denoising Principlementioning
confidence: 99%
“…In the process of wavelet denoising, there are two parameters that hinder its performance: (1) the choice of wavelet basis function and (2) setting of threshold function [20]. In the selection of wavelet basis function, Haar wavelet which is suitable for signal continuity is chosen in this study.…”
Section: Wavelet Denoising (Wd)mentioning
confidence: 99%
“…The wavelet transform technique (WT) is perfect in describing features of non-stationary signals. The technique is used in many applications such as image processing, signal processing, communication systems, time-frequency analysis and pattern recognition [61]- [65]. The WT decomposes signal into wavelets of several scales in the time-domain with changing window sizes, with each scale representing a particular feature of the signal under review.…”
Section: B Wavelet Transform (Wt)mentioning
confidence: 99%