Authors:
Branislav Jovic
1
and
Charles Unsworth
2
Affiliations:
1
University of Auckland, New Zealand
;
2
Univesity of Auckland, New Zealand
Keyword(s):
Security, Spread Spectrum, Communications, Chaos, PC Synchronization, Bit Power Parameter Spectrum.
Related
Ontology
Subjects/Areas/Topics:
Cryptographic Techniques and Key Management
;
Information and Systems Security
;
Spread Spectrum Systems
Abstract:
Due to the broadband nature and the high sensitivity to parameter and initial conditions in chaotic signals, chaotic spread spectrum (SS) communication systems have been regarded as highly secure. However, it is often easier to decrypt chaotic parameter modulation (CPM) based SS systems than was originally thought. In this paper, a single user CPM based chaotic communication system implementing Pecora-Carroll (PC) synchronization is described. Following this, the CPM based communication system, employing the chaotic carrier generated by the Burger’s map is proposed. To highlight the security aspect a new measure called ‘Bit Power Parameter Spectrum’ (BPPS) is introduced. The BPPS is then used to identify parameters that provide high secure and insecure regions for the chaotic map. Furthermore, it is demonstrated how a binary message can be decrypted easily if the parameters of the map exist in the insecure region of the BPPS and how security is optimised if the parameters exist in th
e secure region of the BPPS. The results are contrasted with those of the standard Lorenz CPM based system. The BPPS measure shows that the Lorenz CPM based system is easily decrypted for nearly all parameter values thus rendering the carrier insecure.
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