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Quantization Noise : Roundoff Error in Digital Computation, Signal Processing, Control, and Communications - No Information Available

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Quantization Noise

Roundoff Error in Digital Computation, Signal Processing, Control, and Communications

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Hardcover | 3 July 2008

At a Glance

Hardcover
780 Pages

Dimensions(cm)
24.41 x 16.99 x 4.14

Hardcover

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If you are working in digital signal processing, control or numerical analysis, you will find this authoritative analysis of quantization noise (roundoff error) invaluable. Do you know where the theory of quantization noise comes from, and under what circumstances it is true? Get answers to these and other important practical questions from expert authors, including the founder of the field and formulator of the theory of quantization noise, Bernard Widrow. The authors describe and analyze uniform quantization, floating-point quantization, and their applications in detail. Key features include: • Analysis of floating point round off • Dither techniques and implementation issues analyzed • Offers heuristic explanations along with rigorous proofs, making it easy to understand 'why' before the mathematical proof is given.

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You Can Find This Book In

Non-Fiction Engineering & Technology Technology in General Engineering in General Electronics & Communications Engineering Communications Engineering & Telecommunications Electronics Engineering

Preface
Glossary of symbols
Acronyms and abbreviations
Background
Introduction
Sampling theory
Probability density functions, characteristic functions, and moments
Uniform Quantization
Statistical analysis of the quantizer output
Statistical analysis of the quantization noise
Crosscorrelations between quantization noise, quantizer input, and quantizer Output
General statistical relations among the quantization noise, the quantizer input, and the quantizer output
Quantization of two or more variables - statistical analysis of the quantizer
Quantization of two or more variables - statistical analysis of quantization noise
Quantization of two or more variables - general statistical relations between the quantization noises, and the quantizer inputs and outputs
Calculation of the moments and correlation functions of quantized Gaussian variables
Floating-point Quantization
Floating-point quantization
More on floating-point quantization
Cascades of fixed-point and floating-point quantizers
Quantization in Signal Processing, Feedback Control, and Computations
Roundoff noise in FIR digital filters and in FFT calculations
Roundoff noise in IIR digital filters
Roundoff noise in digital feedback control systems
Roundoff errors in nonlinear dynamic systems - a chaotic example
Applications of Quantization Noise Theory
Dither
Spectrum of quantization noise and conditions of whiteness
Quantization of system parameters
Coefficient quantization
Appendices
Perfectly bandlimited characteristic functions
General expressions of the moments of the quantizer output, and of the errors of Sheppard's Corrections
Derivatives of the sinc function
Proofs of quantizing theorems III and IV
Limits of applicability of the theory - Caveat reader
Some properties of the Gaussian PDF and CF
Quantization of a sinusoidal input
Application of the methods of Appendix G to distributions other than sinusoidal
A Few properties of selected distributions
Digital
Roundoff noise in scientific computations
Simulating arbitrary-precision fixed-point and floating-point roundoff in Matlab
A Few papers from the literature of quantization theory
Bibliography
Index
Appendices N - V available online only
Comparison of the characteristic function method and Sheppard's approach
Interpolation of the cumulative distribution function from the histogram and numerical reconstruction of the Input PDF
Small bit-number correlation W27
Noise shaping and sigma-delta modulation W31
Second-order statistical properties of a triangle-wave signal
Characteristic functions of quantities involved when using Dither W45
Kind corrections W51
Comparison of the engineers' Fourier transform and definition of the characteristic function W75
A few more papers from the literature of quantization theory W79
Table of Contents provided by Publisher. All Rights Reserved.

Quantization Noise

Roundoff Error in Digital Computation, Signal Processing, Control, and Communications

At a Glance

Hardcover

Shipping

How to return your order

Defective items

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