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Fixed-Point Implementation of Discrete Hirschman Transform

Digital Signal Processing (DSP) performs a very important role in various applications of electrical engineering like communications
and signal enhancement. In many situations one finds that the DSP hardware available are fixed point processors. In these situations, it is
necessary to perform DSP with high accuracy using the least amount of hardware resources. This thesis looks into an approach to calculate the
two dimensional Discrete Hirschman Transform (DHT), the inverse DHT, the Hirschman Cosine Transform (HCT) and the inverse HCT using
fixed-point hardware. The complex coefficients required for the transform are calculated beforehand and saved as vectors. Special attention
has been given to minimize errors due to scaling. The processed image and the original image does not show significant difference even for
DFT or DCT length of 128. Mean square errors of -37 dB for the DHT and -40 dB for the HCT could be obtained for DFT and DCT lengths of
128. / A Thesis submitted to the Department of Electrical and Computer Engineering in partial fulfillment of the
requirements for the degree of Master of Science. / Fall Semester 2017. / November 17, 2017. / DCT, DFT, DHT, HCT, HOT / Includes bibliographical references. / Victor E. DeBrunner, Professor Directing Thesis; Linda DeBrunner, Committee Member; Bruce A. Harvey,
Committee Member.

Identiferoai:union.ndltd.org:fsu.edu/oai:fsu.digital.flvc.org:fsu_605023
ContributorsThomas, Rajesh (author), DeBrunner, Victor E. (professor directing thesis), DeBrunner, Linda S. (committee member), Harvey, Bruce A., 1961- (committee member), Florida State University (degree granting institution), FAMU-FSU College of Engineering (degree granting college), Department of Electrical and Computer Engineering (degree granting departmentdgg)
PublisherFlorida State University
Source SetsFlorida State University
LanguageEnglish, English
Detected LanguageEnglish
TypeText, text, master thesis
Format1 online resource (71 pages), computer, application/pdf

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