"Use of the fast Walsh transform to resolve noisy signals into Walsh function series to digitally implement maximum-likelihood parameter estimators for real-time use is investigated. Realization of estimators which seek a null in the derivative of the log-likelihood function, instead of direct maximization, results in feedback algorithms which yield considerable savings in computation time and storage. Performance of these feedback delay-estimation algorithms is characterized in terms of mean-squared error (MSE) and response to a delay step by Monte Carlo simulation. The effect of changing the number of points in the transform on the MSE is also investigated. Hard limiting of the estimator input signal is simulated to represent the limited range of an analog-to-digital converter. Initial time estimates indicate that it is indeed feasible to use the algorithms presented to perform delay estimation in real time. The relative merits of implementing estimators with dedicated hardware, software, and/or firmware is also discussed"--Abstract, page ii.
Ziemer, Rodger E.
Tracey, James H.
Tranter, William H.
Carson, Ralph S.
Electrical and Computer Engineering
Ph. D. in Electrical Engineering
University of Missouri--Rolla
ix, 109 pages
© 1973 Donald Robert Nelson, All rights reserved.
Dissertation - Open Access
Walsh functions -- Mathematical models
Signal processing -- Mathematical models
Recursive functions -- Data processing
Print OCLC #
Electronic OCLC #
Link to Catalog Record
Nelson, Donald Robert, "Implementation of recursive algorithms for delay-time estimation using the fast Walsh transform" (1973). Doctoral Dissertations. 232.