PERFORMANCE ANALYSIS OF SECOND-ORDER STATISTICS FOR CYCLOSTATIONARY SIGNALS

Introduction　　 In natural and man- made signals,there existwidely a special kind of non- stationary signal,forwhich the statistics,correlation function or higher-order statistics,vary not only with time but alsowith multiple incommensurate periods ( periodicallyor polyperiodically) .The random signal,such ascommunication,radar,telemetry,sonar,etc andthe data thatsubjectto seasonal and rhythmic vari-ations,such as hydrologic,oceanic,climatic,ex-hibit periodically the time- varying characteris…

PERFORMANCE ANALYSIS OF SECOND-ORDER STATISTICS FOR CYCLOSTATIONARY SIGNALS

The second order statistics for cyclostationary signals were introduced, and their performance were discussed. It especially researched the time lag characteristic of the cyclic autocorrelation function and spectral correlation characteristic of spectral correlation density function. It was pointed out that those functions can be available to extract the time vary information of the kind of non stationary signals. Using the relations of time lag cyclic frequency and frequency cyclic frequency independently, vibration signals of a rolling element bearing measured on test bed were analyzed. The results indicate that the second order cyclostationary statistics might provide a powerful tool for the feature extracting and fault diagnosis of rolling element bearing.