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Noise reduction, smoothing and time interval segmentation of noisy signals using an energy optimisation method

Lookup NU author(s): Dr Sasan Mahmoodi, Professor Bayan Sharif


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Noise reduction and time interval segmentation of a noise-contaminated piecewise continuous signal is considered by the authors as a non-linear optimisation problem. The mathematical framework of this method is presented both in continuous-time and discrete-time domains. The smoothed signal and segmented time intervals of the original noisy signal are calculated as an optimised solution for an energy functional. An algorithm similar to the level set method is developed to find the optimised solution. In this algorithm, the discontinuity points separating consecutive continuous signals are preserved while the noise is reduced. Therefore this method fundamentally exhibits a better performance compared with a traditional low-pass filter suppressing high frequency components, including discontinuity points. The results also demonstrate a better quality in noise reduction in comparison to the median and Gaussian filters.

Publication metadata

Author(s): Mahmoodi S, Sharif BS

Publication type: Article

Publication status: Published

Journal: IEE Proceedings - Vision, Image and Signal Processing

Year: 2006

Volume: 153

Issue: 2

Pages: 101-108

ISSN (print): 1350-245X

ISSN (electronic):

Publisher: The Institution of Engineering and Technology


DOI: 10.1049/ip-vis:20045205


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