Authors: Sai Venkatesh Balasubramanian
The present work pertains to the generation of a chaotic signal by taking the inverse Fourier Transform of a Fractal Spectral Profile. The presence of chaos is ascertained and characterized using phase portraits, recurrence plots, Lyapunov exponents and Kolmogorov entropies. This signal is modulated by a hyperbolic secant solitary pulse to formulate the “Fractal Chaotic Solitary Wavelet” (FCSW), the analysis of which reveals vanishing higher moments, translating to efficient capabilities of burst and discontinuity detection, apart from the advantage of security owing to the induced unpredictability of chaos. This results in the proposed Fractal Chaotic Solitary Wavelets having potential applications in secure communications and encryption.
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[v1] 2015-10-28 08:01:16
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