학술논문

Study on denoising of fractal signal based on Shannon entropy
Document Type
Conference
Author
Source
International Conference on Neural Networks and Signal Processing, 2003. Proceedings of the 2003 Neural networks and signal processing Neural Networks and Signal Processing, 2003. Proceedings of the 2003 International Conference on. 1:751-755 Vol.1 2003
Subject
Computing and Processing
Components, Circuits, Devices and Systems
Signal Processing and Analysis
Noise reduction
Fractals
Entropy
White noise
Signal analysis
Wavelet coefficients
Wavelet transforms
Wavelet analysis
Signal processing
Pollution
Language
Abstract
In this paper, the wavelet coefficients' Shannon entropy of 1/f fractal signal and white noise at different scales is analyzed. Based on the proportion of wavelet coefficients' Shannon entropy of 1/f signal with that of signal polluted by noise at each scale, a new method of estimating 1/f fractal signal from added white noise is proposed in this paper. The simulation results show that this method is effective and practicable. Since it doesn't need to know the parameters of fractal signal and the statistical characteristic of added white noise in advance, this method is suitable in many situations.