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Analysis of nonlinear dynamics and detecting messages embedded in chaotic carriers using sample entropy algorithm

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Abstract

Sample entropy is introduced as a versatile measure for analyzing chaos dynamics and chaos communications. This measure can be directly applied to distinguish different dynamic behaviors for their superior advantages, such as fast computation (available for short data), extreme simplicity, robustness, and even more efficiency in the presence of a certain amount of noise. For the unidirectional coupling master–slave configuration of semiconductor lasers, it is shown that sample entropy analysis can be an effective tool to reveal the chaos synchronization quality. More particularly, when employed to discriminate the encryption performance of a chaos modulation scheme, the sample entropy algorithm seems to be a powerful and complementary tool for detecting and quantifying the presence of a message within a chaotic carrier.

© 2011 Optical Society of America

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