Spreading Sequences with Negative Auto-correlations Generated by LFSRs Based on Chaos Theory of Modulo-2 Added Sequences
Yasunori Miyazaki, Akio Tsuneda, Takahiro Inoue · ITC-CSCC :International Technical Conference on Circuits Systems, Computers and Communications · 2008
Spreading sequences with exponentially vanishing negative auto-correlations can reduce bit error rate (BER) in asynchronous DS/CDMA (direct-sequence code division multiple access) systems compared with the conventional M-sequences and Gold Sequences generated by linear feedback shift registers (LFSRs). In this paper, we design spreading sequences with negative (but not exponentially vanishing) auto-correlations to be generated by LFSRs, which is based on the chaos theory for the Bernoulli chaotic map and modulo-2 added binary sequences. By numerical experiments, we investigate statistical properties (auto-/cross-correlations) of the proposed sequences.