The Regularized Fast Hartley Transform (eBook)

Low-Complexity Parallel Computation of the FHT in One and Multiple Dimensions

Keith John Jones (Autor)

eBook Download: PDF

2021 | 2nd ed. 2022
XIX, 320 Seiten
Springer International Publishing (Verlag)
978-3-030-68245-3 (ISBN)

Infos

This book describes how a key signal/image processing algorithm - that of the fast Hartley transform (FHT) or, via a simple conversion routine between their outputs, of the real-data version of the ubiquitous fast Fourier transform (FFT) - might best be formulated to facilitate computationally-efficient solutions. The author discusses this for both 1-D (such as required, for example, for the spectrum analysis of audio signals) and m-D (such as required, for example, for the compression of noisy 2-D images or the watermarking of 3-D video signals) cases, but requiring few computing resources (i.e. low arithmetic/memory/power requirements, etc.). This is particularly relevant for those application areas, such as mobile communications, where the available silicon resources (as well as the battery-life) are expected to be limited. The aim of this monograph, where silicon-based computing technology and a resource-constrained environment is assumed and the data is real-valued in nature, has thus been to seek solutions that best match the actual problem needing to be solved.

Dr. Keith John Jones received his Ph.D in Computer Science from Birkbeck College, London University and his M.Sc in Applicable Mathematics from Cranfield Institute of Technology. He has an entry in 'Who's Who in Science and Engineering' (2008-present) and in 'The Dictionary of International Biography' (otherwise known as 'The Cambridge Blue Book') (2008-present). He is currently a consultant at Wyke Technologies Ltd., Weymouth, Dorset (2015-present), having previously been employed as a mathematician/algorithmist/programmer & system designer for TRL Technology Ltd., Tewkesbury, Gloucestershire and, prior to that, for QinetiQ, Winfrith, Dorset. In 2010 he published 'The Regularized Fast Hartley Transform: Optimal Formulation of Real-Data Fast Fourier Transform for Silicon-Based Implementation in Resource-Constrained Environments'. He has 10 patents and has published extensively in the field.

Produkt-Details

• Erscheint lt. Verlag: 3.9.2021
• Zusatzinfo: XIX, 320 p. 57 illus.
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Informatik
• Themenwelt: Technik ► Elektrotechnik / Energietechnik
• Themenwelt: Technik ► Nachrichtentechnik
• Schlagworte: Algorithm Design for Hardware-Based Computing Technologies • Algorithms for Fast Fourier and Hartley Transforms • discrete Fourier transform • fast Fourier transform (FFT) • Fourier transform • Parallel Computation • Real-Data Discrete Fourier Transform • Regularized Fast Hartley Transform
• ISBN-10: 3-030-68245-5 / 3030682455
• ISBN-13: 978-3-030-68245-3 / 9783030682453