Digital Signal Processing

   

Generation, Characterization and Applications of Digital Chaos

Authors: Sai Venkatesh Balasubramanian, Thadigotla Venkata SubbaReddy, Bommepalli Madhava Reddy

Chaos refers to complex behavior nonetheless deterministic, which arises in nonlinear systems. Chaos embodies two important principles: Extreme sensitivity towards initial conditions (also well-known as the butterfly effect.) Cause (reason) and effect (outcome) are not proportionate - Nonlinearity Chaotic signals serve as ideal candidates as carriers in secure communication systems. The present work proposes the generation, characterization and application of a ‘Digital’ chaotic signal using an iterative map. The present work implements the chaos generation using basic logical operations such as Exclusive OR (XOR) switching on four individual clocks with different frequencies and duty cycles. The above mentioned process is implemented in hardware level using XOR gates and 556 timer IC’s and in layout and simulation levels using Microwind respectively. Secondly Digital chaos generation is implemented in MATLAB and in Field Programmable Gate Array (FPGA) using Very high speed integrated circuits Hardware Description Language (VHDL). The generated chaotic signal is characterized using different parameters like Kolmogorov entropy (K2), Fractal Dimension (D2), Largest Lyapunov exponent (LLE), Phase plane portrait and Recurrence plot (RP). The main advantages of this work are 1. Simplicity - because of simple logical operations. 2. Security - due to high sensitivity of chaos to its initial conditions. Finally different applications of digital chaos have been explored.

Comments: 30 Pages.

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Submission history

[v1] 2016-01-12 20:35:01

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