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Digital Signal Processing Algorithms

Number Theory, Convolution, Fast Fourier Transforms, and Applications

By: Hari Krishna

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Hardcover | 25 March 1998 | Edition Number 1

At a Glance

Hardcover
664 Pages

Dimensions(cm)
23.8 x 15.6 x 4.0

Hardcover

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$279.40

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Digital Signal Processing Algorithms describes computational number theory and its applications to deriving fast algorithms for digital signal processing. It demonstrates the importance of computational number theory in the design of digital signal processing algorithms and clearly describes the nature and structure of the algorithms themselves. The book has two primary focuses: first, it establishes the properties of discrete-time sequence indices and their corresponding fast algorithms; and second, it investigates the properties of the discrete-time sequences and the corresponding fast algorithms for processing these sequences.
Digital Signal Processing Algorithms examines three of the most common computational tasks that occur in digital signal processing; namely, cyclic convolution, acyclic convolution, and discrete Fourier transformation. The application of number theory to deriving fast and efficient algorithms for these three and related computationally intensive tasks is clearly discussed and illustrated with examples.
Its comprehensive coverage of digital signal processing, computer arithmetic, and coding theory makes Digital Signal Processing Algorithms an excellent reference for practicing engineers. The authors'' intent to demystify the abstract nature of number theory and the related algebra is evident throughout the text, providing clear and precise coverage of the quickly evolving field of digital signal processing.

Industry Reviews

"It is hard to criticise this book. It does what it does wellthis is an unusual and useful book, which definitely ought to find its niche" --Mark Sandler, Applied Signal Processing, Vol. 5, No. 4

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You Can Find This Book In

Non-Fiction Computing & I.T.Computer Science Digital Signal Processing (DSP)Mathematics Algebra Engineering & Technology Electronics & Communications Engineering Communications Engineering & Telecommunications Number Theory Computer Architecture & Logic Design Parallel Processing

Mathematical Theory of Computation Energy Technology & Engineering Electrical Engineering Databases Data Capture & Analysis Systems Analysis & Design

Introduction
Computational Number Theory
Polynomial Algebra
Theoretical Aspects of Discrete Fourier Transform and Convolution
Cyclotomic Polynomial Factorization and Associated Fields
Cyclotomic Polynomial Factorization Over Finite Fields
Finite Integer Rings: Polynomial Algebra and Cyclotomic Factorization
Fast Algorithms For Acyclic Convolution of Discrete Sequences
Fast Algorithms for Cyclic Convolution
Discrete Fourier Transforms
A Coding Theory Framework for Error (NTI
Table of Contents provided by Publisher. All Rights Reserved.

Digital Signal Processing Algorithms

Number Theory, Convolution, Fast Fourier Transforms, and Applications

At a Glance

Hardcover

Industry Reviews

Shipping

How to return your order

Defective items

You Can Find This Book In

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