Theory and Inference for Cyclostationary Random and Non-Random Functions

摘要

This report is a summary of the work performed under Contract DAAH04- 96-C-0027. The primary efforts were : (1) organization and technical participation in a workshop on cyclostationary processes in the summer of 1996; (2) a Wold decomposition for cyclostationary sequences, (3) periodically correlated processes in two dimensions; (4) development of algorithms for detecting harmonic coherence; (5) demonstration of presence of cyclostationary signals in battlefield acoustics; (6) development of necessary and sufficient conditions for the solutions of a first order autoregression with almost periodic coefficients to remain bounded; (7) aspects of spectral theory for completely regular periodically correlated processes; (8) scientific interchange with visitors from the former soviet union.