Date of Award
12-1991
Document Type
Thesis
Degree Name
Master of Science
Department
Department of Electrical and Computer Engineering
First Advisor
Rob Williams, PhD
Abstract
Two Walsh-domain dyadic convolution adaptive filters are developed using a circular convolution frequency-domain filter (FDF1) and the Fast LMS adaptive filter (FDF2): WDF1 and WDF2 respectively. General theory of time- domain adaptive filters and a theoretical analysis of the FDF1, FDF2, WDF1, and WDF2 filters are presented. WDF1 and WDF2 software implementation are shown to be error free. A time-domain filter (TDF) and a FDF2 frequency-domain filter (FDF) are implemented for comparison testing. The WDF1, WDF2, TDF, and FDF filters are tested using time-shifted sinusoidal and rectangular noisy and noiseless signals. WDF1 and WDF2 are shown to converge faster and produce less error filtering discontinuous signals, relative to the TDF and FDF performance. WDF1 and WDF2 are shown to converge slower and produce more error filtering continuous signals, relative to TDF and FDF performance. WDF1 is shown to perform better for noiseless signals, relative to WDF2 performance. WDF2 is shown to perform better for noise signals, relative to WDF1 performance. WDF1 and WDF2 filtering performance was shown to degrade with increasing time shift. A processing speed comparison showed WDF1 to be faster than the TDF, FDF, and WDF2 filters.
AFIT Designator
AFIT-GE-ENG-91D-15
DTIC Accession Number
ADA243701
Recommended Citation
Duvall, Larry J., "A Walsh-Domain Adaptive Filter" (1991). Theses and Dissertations. 7549.
https://scholar.afit.edu/etd/7549
Comments
The author's Vita page is omitted.