A stochastic diffusion approach to signal denoising

Author

Krim, Hamid ; Bao, Yufang

Author_Institution

Dept. of Electr. & Comput. Eng., North Carolina State Univ., Raleigh, NC, USA

Volume

4

fYear

1999

fDate

15-19 Mar 1999

Firstpage

1773

Abstract

We present a stochastic formulation of a linear diffusion equation (or heat equation), and in light of the potential applications ranging from signal denoising to image enhancement/segmentation of its nonlinear extensions, we propose a more general nonlinear stochastic diffusion. The constructed stochastic framework, in contrast to traditional deterministic approaches, unveils the sources of existing limitations and allows us to further significantly improve the performance by addressing the key problem. Substantiating examples are provided

Keywords

AWGN; heat transfer; interference suppression; nonlinear equations; nonlinear filters; partial differential equations; signal processing; stochastic processes; heat equation; image enhancement; linear diffusion equation; nonlinear extensions; nonlinear stochastic diffusion; segmentation; signal denoising; stochastic diffusion approach; stochastic formulation; stochastic framework; Kernel; Noise reduction; Nonlinear equations; Signal analysis; Signal denoising; Space heating; Stochastic processes; Stochastic resonance; Wavelet analysis; Working environment noise;

fLanguage

English

Publisher

ieee

Conference_Titel

Acoustics, Speech, and Signal Processing, 1999. Proceedings., 1999 IEEE International Conference on

Conference_Location

Phoenix, AZ

ISSN

1520-6149

Print_ISBN

0-7803-5041-3

Type

conf

DOI

10.1109/ICASSP.1999.758263

Filename

758263