非高斯模型下BPSK的循环谱分析

Cyclic spectrum analysis of BPSK under a non-Guassian model

在Alpha稳定分布下结合共变理论、循环平稳理论和分数低阶矩等理论,推导了BPSK信号的循环平稳特性和低阶循环谱密度,结果表明稳定分布下BPSK信号的低阶循环谱结构同高斯假设下的谱结构是一致的.最后在Matlab下进行了仿真验证,仿真结果与理论推导相符合,但基于稳定分布所设计的算法具有良好的抗脉冲噪声的性能,对复杂背景下的调制识别或者盲分离提供新的途径.

The cyclostationarity and low order spectrum density of BPSK was deduced in combination with the theories of covariation, cyclostationarity and FLOM, etc. The results show that the low cyclospectrum instruction of BPSK is the same as under the Guassian model. Finally, a simulation was performed for BPSK with Matlab, whose result was the same as deduced. However, the method constructed under the stable distribution has a better anti-noise performance than under the Guassian model, thus presenting a new way for modulation recognition and blind separation in a complex environment.