Abstract
Signal denoising is an important aspect of signal processing. It is a meaningful direction to solve this problem by using chaotic oscillator. As a kind of chaotic oscillator, Duffing oscillator is often used in the field of periodic signal or pulse signal detection, but it has not been used in signal denoising. In this paper, a new Duffing oscillators system for signal denoising is proposed. The system utilizes the coupling between linear and nonlinear restoring forces of the oscillators to achieve complete synchronization of the system. Because the external signal will cause a large deviation of the oscillator’s trajectory, while the Gauss white noise will only produce a small deviation. Based on this phenomenon, signal denoising can be realized. The simulation results show that, compared with the existing technology, our method is effective for the denoising of complex irregular signal, and can recover the mutation points of signal well. This method has less computational complexity and is easy to implement parallel computation. It can be used in real-time signal processing.
Highlights
Signal denoising is an important aspect of signal processing
Cui: Signal Denoising Based on Duffing Oscillators System pointed out that chaotic system can work as filter, and proposed a non-linear filter construction as a cascade of driven Rössler oscillators
In order to extract complex and irregular signal from noise, a denoising method based on a coupled Duffing oscillators system is proposed, which is characterized by the coupling of linear and nonlinear restoring forces
Summary
Signal denoising is an important aspect of signal processing. For different types of signals and noises, finding the best denoising method has always been one of the main problems in signal processing. According to the characteristics of different signals and noises, many basic denoising methods have been proposed, such as Fourier transform, wavelet transform [1], [2], singular value decomposition (SVD) [3], [4], empirical mode decomposition (EMD) [5], [6], blind source separation [7], sparse decomposition [8], stochastic resonance [9], and etc. A Duffing oscillators system [22] based on the coupling of linear restoring forces and damping forces is proposed to improve the performance of signal detection. Cui: Signal Denoising Based on Duffing Oscillators System pointed out that chaotic system can work as filter, and proposed a non-linear filter construction as a cascade of driven Rössler oscillators. In order to extract complex and irregular signal from noise, a denoising method based on a coupled Duffing oscillators system is proposed, which is characterized by the coupling of linear and nonlinear restoring forces. The calculation cost of this method is low, and it is an easy signal denoising method
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