The Regularized Fast Hartley Transform

Part 1: The Discrete Fourier and Hartley Transforms.- Background to Research.- The Real-Data Discrete Fourier Transform.- The Discrete Hartley Transform.- Part 2: The Regularized Fast Hartley Transform.- Derivation of Regularized Formulation of Fast Hartley Transform.- Design Strategy for Silicon-Based Implementation of Regularized Fast Hartley Transform.- Architecture for Silicon-Based Implementation of Regularized Fast Hartley Transform.- Design of CORDIC-Based Processing Element for Regularized Fast Hartley Transform.- Part 3: Applications of Regularized Fast Hartley Transform.- Derivation of Radix-2 Real-Data Fast Fourier Transform Algorithms using Regularized Fast Hartley Transform.- Computation of Common DSP-Based Functions using Regularized Fast Hartley Transform .- Part 4: The Multi-Dimensional Discrete Hartley Transform.- Parallel Reordering and Transfer of Data between Partitioned Memories of Discrete Hartley Transform for 1-D and m-D Cases.- Architectures for Silicon-Based Implementation of m-D Discrete Hartley Transform using Regularized Fast Hartley Transform.- Part 5: Results of Research.- Summary and Conclusions.

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.