Nonlinear Aspects of Telecommunications: Discrete Volterra Series and Nonlinear Echo Cancellation, 1st Edition (Hardback) book cover

Nonlinear Aspects of Telecommunications

Discrete Volterra Series and Nonlinear Echo Cancellation, 1st Edition

By Andrzej Borys

CRC Press

312 pages

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Hardback: 9780849325717
pub: 2000-09-28
eBook (VitalSource) : 9781315220420
pub: 2018-10-08
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The discrete Volterra series holds particular value in the analysis of nonlinear systems in telecommunications. However, most books on the Volterra series either do not address this application or only offer a partial discussion. Nonlinear Aspects of Telecommunications provides an in-depth treatment of the Volterra series and the benefits it offers as a representation of nonlinear problems, particularly in echo cancellation in digital telecommunications systems.

Beginning with the fundamentals of the discrete Volterra series, the author presents its basic definition, notions, conditions for convergence and stability, and its matrix representation for multiple-input and multiple-output nonlinear digital systems. He pays significant attention to the important problem of approximating a nonlinear digital system using the discrete Volterra series and offers new results in this area--results not yet available in other texts.

The second part of the book uses the background of Part I to show the Volterra series' application to echo cancellation. It provides introductory material regarding the basics of adaptive cancellers, and analyzes structures for nonlinear echo cancellers using nonlinear transversal filters for baseband transmission. The last section covers nonlinear echo cancellers for voiceband transmission and interleaved structures.

Full of illustrations, examples, and new results, Nonlinear Aspects of Telecommunications is your first and best resource for understanding and applying the discrete Volterra series to nonlinear echo cancellation problems.


Table of Contents

Basics of Discrete Volterra Series


Basic Definitions

Nonlinear Sampled-Data Systems

Multidimensional Z Transform

Discrete Volterra Series in the Z Domain

Conditions for Convergence and Stability

Matrix Representation for Multiple-Input and Multiple Output Systems

Nonlinear Systems with Fading Memory

Further Considerations on Fading Memory

Approximation of the System Response by Volterra Series

Discrete Volterra Series for Binary Signals

Associated Expansions

Other Approximations

Nonlinear Echo Cancellation


Adaptive Cancellers

Nonlinear Echo Cancellation in Data Transmission

Interleaved and Passband Nonlinear Transversal Filters

About the Series

Electronic Engineering Systems

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Subject Categories

BISAC Subject Codes/Headings:
TECHNOLOGY & ENGINEERING / Telecommunications