Rice´s Representation for Cyclostationary Processes

The well-known formulas relating power spectral densities of a bandpass process and its low-pass representors in Rice´s representation are generalized to accommodate cyclostationary processes, which can be more appropriate than stationary processes as models for modulated signals. It is explained that improper phase-randomization methods for stationarizing cyclostationary processes can yield misleading formulas for power spectral densities in Rice´s representation. In addition, the relationships among the spectral correlation functions for a cyclostationary bandpass process and its cyclostationary low-pass representors are derived.