Abstract
It is well known that the interleaver plays a critical role in the performance of turbo codes and its design using random and deterministic permutations. In this paper, we present a new method to design a deterministic interleaver with random-like behavior based on two-dimensional chaotic map, so called lozi map. The designed interleaver is called chaotic interleaver. The statistical properties and the performance of such interleaver have been investigated and compared with random interleaver and dithered golden interleaver. Chaotic interleaver results in lowering the latency and the complexity of implementation and enhance the reliability and the security of the communication system.
Highlights
Turbo codes were introduced in 1993 by Berrou et al [1]
Chaotic signals generated from lozi map were analyzed and applied in the design of chaotic interleaver for turbo codes
The Golden interleaver is different from the random interleaver, which is generated using the sorted real valued numbers derived from the golden section
Summary
Turbo codes were introduced in 1993 by Berrou et al [1]. These codes are currently involved in many international standards, such as long-term evolution (LTE) and Digital Video Broadcast (DVB), as well as satellite communications. The distinct random-like behavior of these signals in a completely deterministic setting has proven to be useful in several communication schemes. Due to their good correlation properties, chaotic systems are used to generate spectral spreading sequences in direct-sequence spread-spectrum communication systems [8, 9]. In [15], the authors proposed a secure turbo code design using chaotic signals, but with performance degradation compared with the conventional turbo code. The aim of this work is to enhance the reliability and the security of the communication system with low complexity of implementation using chaotic signals in the design of a turbo code interleaver.
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