On the correlation of chaotic signals generated by multimodal skew tent map
- 29 Downloads
In recent years, a great deal of attention has been devoted to the application of chaos theory in signal processing and communications. Despite the importance of spectral analysis in these domains, there are few works that take an interest in spectral properties of chaotic signals. In this work, we derive analytic expressions for the autocorrelation function and the auto-spectral density function of chaotic signals generated by a multimodal skew tent map. Our results reveal that chaotic signals generated from a multimodal skew tent map have similar spectral properties to those generated from a unimodal skew tent map.
KeywordsCorrelation Chaotic signals Statistical properties Multimodal skew tent maps Time series analyses
The authors wish express their sincere thanks to all who helped improving the quality of this paper.
- 4.Akbil, B., Ferre, G., Aboutajdine, D.: Computational complexity and bandwidth resource analysis of NLM interleaver in IDMA system. In: Image Processing and Communications Challenges 4, AISC, vol. 184, pp 241–251 (2013)Google Scholar
- 7.Talwalkar, S.A., Kay, S.M.: Realization of correlated chaotic signals. In: Proceedings of the International Conference on Acoustics, Speech, and Signal Processing, pp. 1360–1363. Detroit, May 9–12 (1995)Google Scholar
- 15.Wolf, A.: Quantifying chaos with Lyapunov exponents. In: Holden, A.V. (ed.) Chaos, pp. 270–290. Princeton University Press, New Jersey (1986)Google Scholar