Date of Award
Doctor of Philosophy (PhD)
Department of Electrical and Computer Engineering
Martin P. DeSimio, PhD
This research develops theoretical methods for parameter estimation of filtered, pulsed sinusoids in noise and demonstrates their effectiveness for Electronic Warfare EW applications. Within the context of stochastic modeling, a new linear model, parameterized by a set of Linear Prediction LP coefficients, is derived for estimating the frequencies of filtered sinusoids. This model is an improvement over previous modeling techniques since the effects of the filter and the coefficients upon the noise statistics are properly accounted for during model development. From this linear model, a relationship between LP coefficient estimation and Maximum Likelihood ML frequency estimation is derived and several coefficient estimators, based on fixed point theory and ML techniques, are constructed. A bound for the coefficient estimation error is developed and used to gauge the quality of point estimates directly from the data and knowledge of the noise variance. Furthermore, a multirate implementation of an EW digital channelized receiver is described functionally and probabilistically. When applied to the EW receiver, simulations indicate the new estimators provide unbiased, minimum variance, parameter estimates of filtered sinusoids at lower SNRs than the estimators currently employed. The bounds on the estimation error are then used establish confidence intervals for each point estimate.
DTIC Accession Number
Zahirniak, Daniel R., "Parameter Estimation for Real Filtered Sinusoids" (1997). Theses and Dissertations. 5795.