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The role of synchronization in digital communications using chaos. III: Performance bounds for correlation receivers. (English) Zbl 0990.94002
Summary: The three-part paper shows in a tutorial manner how the theory of conventional telecommunications systems can be applied to chaotic modulation schemes. In Part I [{\it G. Kolumbán}, {\it M. Kennedy} and {\it L. Chua}, ibid. 44, 927-936 (1997)], the theory and operation of conventional communications systems are surveyed and possible fields of application of chaotic communications are identified. In Part II [{\it G. Kolumbán}, {\it M. Kennedy} and {\it L. Chua}, ibid. 45, 1129-1140 (1998; Zbl 0991.93097)], the theory of conventional telecommunications is extended to chaotic communications, chaotic modulation techniques and receiver configurations are surveyed, and chaotic synchronization schemes are described. In this part, examples are given of chaotic communications schemes with and without synchronization, and the performance of correlator-based systems is evaluated in the context of noisy, bandlimited channels.

##### MSC:
 94A05 Communication theory 94A14 Modulation and demodulation 94A11 Application of orthogonal and other special functions in communication
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