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Logistic-map chaotic spread spectrum sequences under linear transformation

A typical chaotic system, Logistic Map, is studied under linear transformation. A model, LT-Logistic-Map, is proposed, and its statistical property is derived. The result shows that the model statistical properties are identical with those of white noise. LT-Logistic-Map chaotic sequences are suited for spread spectrum address codes. Using the new model, more chaotic sequences can be generated and the privacy of transmission in the spread spectrum communication system can be enhanced. The experimental results are very close to the theoretical values, which demonstrate that the derivations are effective and reliable.