학술논문

Modeling (almost) periodic moving average processes using cyclic statistics
Document Type
Periodical
Source
IEEE Transactions on Signal Processing IEEE Trans. Signal Process. Signal Processing, IEEE Transactions on. 44(3):673-684 Mar, 1996
Subject
Signal Processing and Analysis
Communication, Networking and Broadcast Technologies
Computing and Processing
Autoregressive processes
Parameter estimation
Additive noise
Signal processing algorithms
Speech processing
Blind equalizers
Higher order statistics
Statistical distributions
Senior members
Time varying systems
Language
ISSN
1053-587X
1941-0476
Abstract
Estimating parameters of almost cyclostationary non-Gaussian moving average (MA) processes using noisy output-only data is considered. It is shown that second-order cyclic correlations of the output are generally insufficient in uniquely characterizing almost periodically time-varying MA(q) models, while third-order and higher order cumulants can be used to estimate their model parameters within a scale factor. Both linear and nonlinear identification algorithms for fixed and time-varying order q(t) are presented. Statistical model order determination procedures are also derived. Implementation issues are discussed and resistance to noise is claimed when the signal of interest has cycles distinct from the additive noise. Simulations are performed to verify the theoretical results.