Abstract
The vulnerability of chaotic communication systems to noise in transmission channel is a serious obstacle for practical applications. Traditional signal processing techniques provide only limited possibilities for efficient filtering broadband chaotic signals. In this paper, we provide a comparative study of several denoising and filtering approaches: a recursive IIR filter, a median filter, a wavelet-based denoising method, a method based on empirical modes decomposition, and, finally, propose the new filtering algorithm based on the cascade of driven chaotic oscillators. Experimental results show that all the considered methods make it possible to increase the permissible signal-to-noise ratio to provide the possibility of message recognition, while the new proposed method showed the best performance and reliability.
Highlights
Chaotic communication has number of advantages over traditional harmonic signal-based schemes, namely, better security and steganographic properties [1], low power spectrum density, robustness to multi-path fading and ease of wideband communication system implementation [2].Chaotic communications are of interest due to the wide bandwidth of chaotic signals making them useful in systems where narrowband channels are overloaded [3].Today a number of practical implementations of chaotic communication systems are known [4].At the early stage of investigations in the field of chaotic communication, several simple methods have been proposed, including chaotic masking, chaotic regime switching, the nonlinear mixing of the information into the chaotic carrier, etc
We propose statement that chaotic systems can work as filters can be valid
The technique whole experiment by different researches as suitable for chaotic signals denoising filtration technique was made for SNR values from −30 to 20 dB
Summary
Chaotic communication has number of advantages over traditional harmonic signal-based schemes, namely, better security and steganographic properties [1], low power spectrum density, robustness to multi-path fading and ease of wideband communication system implementation [2].Chaotic communications are of interest due to the wide bandwidth of chaotic signals making them useful in systems where narrowband channels are overloaded [3].Today a number of practical implementations of chaotic communication systems are known [4].At the early stage of investigations in the field of chaotic communication, several simple methods have been proposed, including chaotic masking, chaotic regime switching, the nonlinear mixing of the information into the chaotic carrier, etc. It was found that these methods suffer from low robustness to noise in the transmission channel [1,4,5] To overcome this drawback, a number of techniques have been introduced, which can be divided into two main classes: noise-stable communication schemes and conventional communication schemes with noise reduction; some hybrid types are reported as well. Noise reduction techniques for chaotic signals cannot take advantage of the simple signal spectra of conventional multi-harmonic communication systems, forcing them to use linear FIR or IIR filters. Only relatively complex techniques are feasible for chaotic signal denoising These approaches include noise reduction methods via a deterministic optimization technique [8], wavelet denoising [9], hidden Markov model approach [10], Electronics 2018, 7, 450; doi:10.3390/electronics7120450 www.mdpi.com/journal/electronics
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