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The Regularized Fast Hartley Transform = Low-Complexity Parallel Computation of the FHT in One and Multiple Dimensions /
紀錄類型:
書目-語言資料,印刷品 : Monograph/item
正題名/作者:
The Regularized Fast Hartley Transform/ by Keith John Jones.
其他題名:
Low-Complexity Parallel Computation of the FHT in One and Multiple Dimensions /
作者:
Jones, Keith John.
面頁冊數:
XIX, 320 p. 57 illus.online resource. :
Contained By:
Springer Nature eBook
標題:
Communications Engineering, Networks. -
電子資源:
https://doi.org/10.1007/978-3-030-68245-3
ISBN:
9783030682453
The Regularized Fast Hartley Transform = Low-Complexity Parallel Computation of the FHT in One and Multiple Dimensions /
Jones, Keith John.
The Regularized Fast Hartley Transform
Low-Complexity Parallel Computation of the FHT in One and Multiple Dimensions /[electronic resource] :by Keith John Jones. - 2nd ed. 2022. - XIX, 320 p. 57 illus.online resource.
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.
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.
ISBN: 9783030682453
Standard No.: 10.1007/978-3-030-68245-3doiSubjects--Topical Terms:
669809
Communications Engineering, Networks.
LC Class. No.: TK5102.9
Dewey Class. No.: 621.382
The Regularized Fast Hartley Transform = Low-Complexity Parallel Computation of the FHT in One and Multiple Dimensions /
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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.
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