The periodicity is a feature of science and engineering phenomena,so detecting periodicity from complex and noise-included samples and measuring its parameters are important topics in signal processing.Spectral correlation is a useful tool to find second-order periodicity of cyclostationary signals.This paper investigates the reasons,procedures and features using spectral correlation to analyze cyclicity.First,internal relations between main definitions in spectral correlation theory are summarized and mathematic diagrams reflecting their transforming or mapping relations are built.Then a method to calculate spectral correlation based on the diagrams is proposed.By analysis of single periodic signals and connections between periods and results in each operation,physical functions of cyclic autocorrelation,spectral correlation,limit periodic spectrum and cyclic frequency,etc,are interpreted.
王洪. 谱相关的数学关系与物理意义[J]. 电子学报, 2015, 43(4): 810-815.
WANG Hong. Mathematical Relationships and Physical Functions of Spectral Correlation. Chinese Journal of Electronics, 2015, 43(4): 810-815.
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2015, Vol. 43 
