基于循环自相关的PSK信号码速率估计的噪声影响分析
doi: 10.3724/SP.J.1146.2006.00962
Influence of Stationary Noise on Cyclic-Autocorrelation Based PSK Symbol Rate Estimation
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摘要: 采用循环自相关函数或基于循环自相关的循环统计量可以有效地估计PSK信号的码速率。与理论分析结果不符的是，实际中不具有循环平稳性的平稳噪声仍对基于循环自相关处理的PSK码速率估计有影响。该文分析了这类影响产生的原因，推导了循环自相关处理后，不期望项(即由平稳噪声所产生的项)的均值和方差的数学表达式，并给出了高斯白噪声情况下的简化表达式。仿真实验证明了这些结论的正确性。Abstract: Symbol rate estimation of PSK signals could be effectively implemented by employing the cyclic-autocorrelation function or cyclic-autocorrelation based cyclic statistics. Stationary noise, which does not possess cyclostationarity, has an influence on cyclic-autocorrelation based PSK symbol rate estimation in practice, and this is not consistent with the theoretical analysis. The origin of such influence is studied in this paper, and the analytic expressions of means and variances of those undesired items (which are produced by stationary noise), as well as the simplified forms for Gaussian white noise are derived. Simulation experiments have testified the analytic results.
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