Algorithms for Fine-grained Architecture Implementation of 2-dimensional Fast Walsh-Hadamard Transforms

Abstract

Spatial transforms play a central role in image and signal processing applications. The Walsh-Hadamard Transform, due to its simple integer basis functions, provides superior computational simplicity and minimal memory requirements. In retrospect, the Fourier Transform, while providing a powerful tool for image and signal processing, has a computational complexity that makes it undesirable for applications where computational time and memory space are limited, such as with most fine-grained architectures. An objective of this research was to develop a fast parallel algorithm of the two-dimensional Walsh-Hadamard Transform for a fine-grained parallel machine - The Geometric Arithmetic Parallel Processor (GAPP) was chosen as the implementation platform. Different fast parallel algorithm techniques are investigated and the optimal two-dimensional Fast Walsh-Hadamard Transform (FWHT) is derived by combining these techniques. A comparison between the Walsh-Hadamard Transform and the Fourier Transform is given and special emphasis is placed on the advantages and disadvantages of these two transforms when performed in a fine-grained parallel architecture. Possible applications of the Walsh-Hadamard Transform in the signal and image processing fields are discussed.

Notes

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Graduation Date

1990

Semester

Spring

Advisor

Myler, Harley R.

Degree

Master of Science (M.S.)

College

College of Engineering

Department

Computer Engineering

Format

PDF

Pages

121 p,

Language

English

Length of Campus-only Access

None

Access Status

Masters Thesis (Open Access)

Identifier

DP0027324

Subjects

Dissertations, Academic -- Engineering; Engineering -- Dissertations, Academic

Accessibility Status

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