Measurement of spectral correlation

TLDR

Spectral correlation functions for cyclostationary time series can be measured or computed using a variety of methods, which can be implemented in digital, analog, or conventional hardware or software. The study addresses new challenges in computational complexity, cycle leakage and aliasing, cycle resolution, and cycle phasing. The authors compute sample spectral correlation functions using digital software on simulated signals. The analysis reveals how reliability interacts with temporal, spectral, and cycle resolution.

Abstract

Various methods for measurement/computation of spectral correlation functions for time series that exhibit cyclostationarity are described in a unifying theoretical framework. Some of these are amenable to digital hardware or software implementations, others are amenable to analog electrical or optical implementations, and other implementation types used for conventional spectral analysis are also possible. The interaction among reliability and temporal, spectral, and cycle resolutions is determined. Novel problems of computational complexity, cycle leakage and aliasing, cycle resolution, and cycle phasing are discussed. Sample spectral correlation functions are calculated with digital software for several simulated signals.