Paper
26 May 2011 An adaptive LMS technique for wavelet polynomial threshold denoising
Sushanth Sathyanarayana, David Akopian, Sos S. Agaian
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Abstract
Threshold operators are conventionally used in wavelet-based denoising applications. Different thresholding schemes have been suggested to achieve improved balance between mitigating various signal distortions and preserving signal details. In general, these state-of-the-art threshold operators are nonlinear shrinkage functions such as well known "soft" and "hard" thresholds and their hybrids. Recently a nonlinear polynomial threshold has been introduced which integrates several known approaches and can be optimized using a least squares technique. While significantly improving the performance - this approach is computationally intensive and is not flexible enough for band-adaptive processing. In this paper an adaptive least mean squared (LMS) optimization approach is proposed and studied which drastically reduces computational load and is convenient for band-adaptive denoising scenarios. The approach is successfully applied to 1D and 2D signals, and the results demonstrate improved performance in comparison with the conventional methods.
© (2011) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Sushanth Sathyanarayana, David Akopian, and Sos S. Agaian "An adaptive LMS technique for wavelet polynomial threshold denoising", Proc. SPIE 8063, Mobile Multimedia/Image Processing, Security, and Applications 2011, 806308 (26 May 2011); https://doi.org/10.1117/12.881297
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Cited by 2 scholarly publications.
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KEYWORDS
Wavelets

Denoising

Wavelet transforms

Computed tomography

Magnetic resonance imaging

Statistical analysis

Interference (communication)

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