Bit Error Rate Analysis of Chaotic Cognitive Radio System over Slow Fading Channels

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In this paper, we analyze the bit error rate (BER) performance of a chaotic cognitive radio (CCR) system, which enjoys benefits of high security provided by a chaotic communication system and high flexibility in non-contiguous spectrum access offered by an overlay cognitive radio (CR) system. In the proposed CCR system, the chaotic sequence is generated in the frequency domain instead of in the time domain, hence enabling non-contiguous spectrum access. We hereby derive the bit error rate expressions of CCR systems over additive white Gaussian noise (AWGN) channel and slow flat Rayleigh, Rician, and Nakagami fading channels. Specifically, we use the probability distribution of the chaotic map to evaluate the energy distribution of the transmitted signals over the identified non-continuous subcarrier bands, and then apply the definite integral representation of Q-function to calculate the bit error rate. The results from theoretical analysis and numerical simulations are compared, demonstrating an excellent agreement between the two approaches.