Bernard Widrow重量級新書: Quantization Noise

smaa

作者是LMS演算法發明人, MIT教授
Matlab code在此:
http://www.mit.bme.hu/books/quantization/




<書名> Quantization Noise: Roundoff Error in Digital Computation, Signal Processing, Control, and Communications
<目錄>
Preface;
Glossary of symbols;
Acronyms and abbreviations;

Part I. Background:
1. Introduction;
2. Sampling theory;
3. Probability density functions, characteristic functions, and moments;

Part II. Uniform Quantization:
4. Statistical analysis of the quantizer output;
5. Statistical analysis of the quantization noise;
6. Crosscorrelations between quantization noise, quantizer input, and quantizer Output;
7. General statistical relations among the quantization noise, the quantizer input, and the quantizer output;
8. Quantization of two or more variables - statistical analysis of the quantizer;
9. Quantization of two or more variables - statistical analysis of quantization noise;
10. Quantization of two or more variables - general statistical relations between the quantization noises, and the quantizer inputs and outputs;
11. Calculation of the moments and correlation functions of quantized Gaussian variables;

Part III. Floating-point Quantization:
12. Floating-point quantization;
13. More on floating-point quantization;
14. Cascades of fixed-point and floating-point quantizers;

Part IV. Quantization in Signal Processing, Feedback Control, and Computations:
15. Roundoff noise in FIR digital filters and in FFT calculations;
16. Roundoff noise in IIR digital filters;
17. Roundoff noise in digital feedback control systems;
18. Roundoff errors in nonlinear dynamic systems - a chaotic example;

Part V. Applications of Quantization Noise Theory:
19. Dither;
20. Spectrum of quantization noise and conditions of whiteness;

Part VI.Quantization of system parameters;
21. Coefficient quantization;

Appendices:
A. Perfectly bandlimited characteristic functions;
B. General expressions of the moments of the quantizer output, and of the errors of Sheppard’s Corrections;
C. Derivatives of the sinc function;
D. Proofs of quantizing theorems III and IV;
E. Limits of applicability of the theory – Caveat reader;
F. Some properties of the Gaussian PDF and CF;
G. Quantization of a sinusoidal input;
H. Application of the methods of appendix G to distributions other than sinusoidal;
I. A Few properties of selected distributions;
J. Digital dither;
K. Roundoff noise in scientific computations;
L. Simulating arbitrary-precision fixed-point and floating-point roundoff in Matlab;
M. A Few papers from the literature of quantization theory;
Bibliography;
Index;
Appendices N – V available online only:
N. Comparison of the characteristic function method and Sheppard’s approach;
O. Interpolation of the cumulative distribution function from the histogram and numerical reconstruction of the Input PDF;
P. Small bit-number correlation;
Q. Noise shaping and sigma-delta modulation;
R. Second-order statistical properties of a triangle-wave signal;
S. Characteristic functions of quantities involved when using Dither;
T. Kind corrections;
U. Comparison of the engineers’ Fourier transform and definition of the characteristic function;
V. A few more papers from the literature of quantization theory.

AlexKe

   

smaa 发表于 2008-9-20 23:05
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zylin614

謝謝分享

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谢谢

dannymu

不错，少见的书

jiangpeng86

everhappy

good book,3ks

wendy235711

Thank Shares.

gakuse

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edwardk

学习中。。。。。