Doctoral Dissertations


"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.

Committee Member(s)

Tracey, James H.
Tranter, William H.
Carson, Ralph S.
Engelhardt, Max


Electrical and Computer Engineering

Degree Name

Ph. D. in Electrical Engineering


University of Missouri--Rolla

Publication Date



ix, 109 pages

Note about bibliography

Includes bibliographical references (pages 86-89).


© 1973 Donald Robert Nelson, All rights reserved.

Document Type

Dissertation - Restricted Access

File Type




Library of Congress Subject Headings

Walsh functions -- Mathematical models
Signal processing -- Mathematical models
Recursive functions -- Data processing

Thesis Number

T 2810

Print OCLC #


Electronic OCLC #


Link to Catalog Record

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