The Regularized Fast Hartley Transform

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

Authors: Jones, Keith John

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  • Describes solutions to 1-D and m-D versions of the FHT and the real-data FFT targeted at applications
  • Achieves the computational density of the most advanced commercially-available solutions for greatly reduced silicon resources
  • Presents simple design variations that enable one to optimize the use of the available silicon resources
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eBook 96,29 €
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  • ISBN 978-3-030-68245-3
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Hardcover 119,59 €
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About this book

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.

About the authors

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.

Table of contents (12 chapters)

Table of contents (12 chapters)

Buy this book

eBook 96,29 €
price for Spain (gross)
  • ISBN 978-3-030-68245-3
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 119,59 €
price for Spain (gross)
  • ISBN 978-3-030-68244-6
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
The Regularized Fast Hartley Transform
Book Subtitle
Low-Complexity Parallel Computation of the FHT in One and Multiple Dimensions
Authors
Copyright
2022
Publisher
Springer International Publishing
Copyright Holder
The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG
eBook ISBN
978-3-030-68245-3
DOI
10.1007/978-3-030-68245-3
Hardcover ISBN
978-3-030-68244-6
Edition Number
2
Number of Pages
XIX, 320
Number of Illustrations
57 b/w illustrations
Topics