Projection-based wavelet denoising [lecture notes]
Date
2015Source Title
IEEE Signal Processing Magazine
Print ISSN
1053-5888
Publisher
Institute of Electrical and Electronics Engineers Inc.
Volume
32
Issue
5
Pages
120 - 124
Language
English
Type
ArticleItem Usage Stats
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Abstract
In this lecture note, we describe a wavelet domain denoising method consisting of making orthogonal projections of wavelet (subbands) signals of the noisy signal onto an upside down pyramid-shaped region in a multidimensional space. Each horizontal slice of the upside down pyramid is a diamond shaped region and it is called an -ball. The upside down pyramid is called the epigraph set of the -norm cost function. We show that the method leads to soft-thresholding as in standard wavelet denoising methods. Orthogonal projection operations automatically determine the soft-threshold values of the wavelet signals. © 2015 IEEE.
Keywords
Cost functionsDenoising methods
Horizontal slices
Multi-dimensional space
Orthogonal projection
Soft threshold
Soft thresholding
Wavelet denoising
Wavelet denoising method
Wavelet analysis