Authors: Sai Venkatesh Balasubramanian
With the central focus on a broadened perspective of chaos, this article introduces the concept of the engineer’s chaos, characterized by determinism, aperiodicity and sensitive dependence on initial conditions, and exhibiting a marked deviation from conventional chaotic systems by possessing a signal based control parameter. It is seen that multiplying two sinusoidal signals, the simplest possible nonlinear operation generates the engineer’s chaos with the frequency ratio of the two signals acting as the control parameter. The nature of the chaos is observed using iterative map and bifurcation plot. Following this, an application of the engineer’s chaos to dense communications is demonstrated using a proof-of-concept, where the two chaos generating signals are amplitude modulated before multiplying, and transmitted over a channel represented as a Additive White Gaussian Noise of 18dB. The ability to receive and demodulate the signals with reasonable accuracy highlights the capabilities of the engineer’s chaos. The demonstration proves how the engineer’s chaos, the result of a broadened perspective on chaos yields triple advantages of minimalist and simple design, increased information carrying capacity, and security inherent to the sensitivity of chaos.
Comments: 7 Pages.
[v1] 2016-08-04 00:40:18
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