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Anisotropic diffusion for noise removal of band pass signals

Anisotropic diffusion for noise removal of band pass signals
Anisotropic diffusion for noise removal of band pass signals
A noise removal method for band pass signals based on anisotropic diffusion algorithm is proposed in this paper. This anisotropic smoothing algorithm is for band pass signals with a constant frequency and is an extension of the anisotropic diffusion method proposed by Perona and Malik. Band pass signals are considered as complex valued vectors here. To this end, real valued band pass signals are therefore converted to complex valued signals by using Hilbert transform. An appropriate linear operator is considered here for such complex valued signals to form an anisotropic diffusion algorithm. A partial differential equation to smooth band pass noisy signals is therefore driven. The propagator of this differential equation is a complex valued Gabor filter. The algorithm proposed here demonstrates better performance for band pass noisy signals containing discontinuities in comparison with the traditional Perona-Malik (PM) algorithm and is robust at the presence of excessive noise with SNR less than unity
0165-1684
1298-1307
Mahmoodi, Sasan
91ca8da4-95dc-4c1e-ac0e-f2c08d6ac7cf
Mahmoodi, Sasan
91ca8da4-95dc-4c1e-ac0e-f2c08d6ac7cf

Mahmoodi, Sasan (2011) Anisotropic diffusion for noise removal of band pass signals. Signal Processing, 91 (5), 1298-1307. (doi:10.1016/j.sigpro.2010.12.018).

Record type: Article

Abstract

A noise removal method for band pass signals based on anisotropic diffusion algorithm is proposed in this paper. This anisotropic smoothing algorithm is for band pass signals with a constant frequency and is an extension of the anisotropic diffusion method proposed by Perona and Malik. Band pass signals are considered as complex valued vectors here. To this end, real valued band pass signals are therefore converted to complex valued signals by using Hilbert transform. An appropriate linear operator is considered here for such complex valued signals to form an anisotropic diffusion algorithm. A partial differential equation to smooth band pass noisy signals is therefore driven. The propagator of this differential equation is a complex valued Gabor filter. The algorithm proposed here demonstrates better performance for band pass noisy signals containing discontinuities in comparison with the traditional Perona-Malik (PM) algorithm and is robust at the presence of excessive noise with SNR less than unity

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Published date: May 2011
Organisations: Southampton Wireless Group

Identifiers

Local EPrints ID: 271512
URI: http://eprints.soton.ac.uk/id/eprint/271512
ISSN: 0165-1684
PURE UUID: 07a240e5-a96e-4cb1-837b-d0817b3f1461

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Date deposited: 02 Sep 2010 11:44
Last modified: 09 Sep 2019 18:53

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