Doctoral Dissertations


"The exploration geophysicist is constantly searching for new and better methods for analyzing seismic data. The primary purpose of this dissertation is to introduce linear time-variant digital filters as a technique for the filtering of seismic data. Methods of characterizing linear time-variant digital filters are discussed in general terms. The advantages of the different impulse and frequency responses are cited. In addition, the meanings and possible interpretations of the time and frequency variables introduced are considered. The concept of linear time-variant digital delay filters is presented along with their relationship to impulse responses. A pictorial diagram of discrete time-variant impulse responses is included for clarity. Frequency domain concepts are discussed and elucidated with a simple example. In general, the amplitude characteristic and phase-lag characteristic, illustrated in the example, are functions of both frequency and time (i.e., the instant of observation). The optimization of linear time-variant digital filters is carried out for a nonstationary random input. The ensemble mean-square error criterion is used, assuming that the autocorrelation of the input and the crosscorrelation of the input with the desired output are known. It is concluded that linear time-variant digital filters will extract additional information from the seismic data but with quite a large increase in computation"--Abstract, pages i-ii.


Zenor, Hughes M., 1908-2001


Mining Engineering

Degree Name

Ph. D. in Mining Engineering


University of Missouri at Rolla

Publication Date



v, 67 pages

Note about bibliography

Includes bibliographical references (pages 48-52).


© 1965 Richard Harold Lassley, All rights reserved.

Document Type

Dissertation - Open Access

File Type




Subject Headings

Digital filters (Mathematics)
Linear systems
Seismology -- Data processing

Thesis Number

T 1766

Print OCLC #


Electronic OCLC #