Authors: Sai Venkatesh Balasubramanian
A novel kind of iterative map, the frequency dependent map, offering the crucial advantages of easy tunability and signal dependent control is formulated from the standard circle map, and is studied using the bifurcation and cobweb plots. Following this, the nonlinearity of a MOSFET is explored and a novel modification to a conventional ring oscillator is proposed by adding a potential divider in its feedback path, achieving adaptive bias control. It is seen that such a design gives outputs most closely resembling hyperbolic secant based solitons. The ring oscillators, nonlinearly coupled to a ‘split-gate’ CMOS inverter is seen to generate chaotic signals, which are characterized using standard measures such as phase portrait, Kolmogorov Entropy and Lyapunov Exponent, following which the effect of number of ring oscillator stages on the nature if generated chaos is studied. Finally, the chaotic signal is merged with a hyperbolic secant pulse to form a ‘chaotic solitary wavelet’, which is seen to possess a high number of vanishing moments with a distinct and unique negative logarithmic slope, a very desirable quality in wavelets, leading to applications such as secure communications, image compression and efficient detection of burst-type signals.
Comments: 14 Pages.
[v1] 2015-10-28 07:59:32
Unique-IP document downloads: 51 times
Vixra.org is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. Vixra.org will not be responsible for any consequences of actions that result from any form of use of any documents on this website.
Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.