Download E-books Quantization Noise : Roundoff Error in Digital Computation, Signal Processing, Control, and Communications PDF

By Widrow B., Kollar I.

Grasp the fundamentals from first rules: the physics of sound, rules of listening to and so on, then development onward to primary electronic ideas, conversion, compression and coding after which onto transmission, electronic audio workstations, DAT and optical disks. wake up to hurry with how electronic audio is used inside of DVD, electronic Audio Broadcasting, networked audio and MPEG delivery streams. the entire key applied sciences are right here: compression, DAT, DAB, DVD, SACD, oversampling, noise shaping and mistake correction theories are taken care of in an easy but exact shape. completely researched, completely updated and technically exact this is often the one booklet you wish at the topic Preface; thesaurus of symbols; Acronyms and abbreviations; half I. historical past: 1. advent; 2. Sampling thought; three. likelihood density services, attribute features, and moments; half II. Uniform Quantization: four. Statistical research of the quantizer output; five. Statistical research of the quantization noise; 6. Crosscorrelations among quantization noise, quantizer enter, and quantizer Output; 7. normal statistical family members one of the quantization noise, the quantizer enter, and the quantizer output; eight. Quantization of 2 or extra variables - statistical research of the quantizer; nine. Quantization of 2 or extra variables - statistical research of quantization noise; 10. Quantization of 2 or extra variables - common statistical family members among the quantization noises, and the quantizer inputs and outputs; eleven. Calculation of the moments and correlation features of quantized Gaussian variables; half III. Floating-point Quantization: 12. Floating-point quantization; thirteen. extra on floating-point quantization; 14. Cascades of fixed-point and floating-point quantizers; half IV. Quantization in sign Processing, suggestions keep an eye on, and Computations: 15. Roundoff noise in FIR electronic filters and in FFT calculations; sixteen. Roundoff noise in IIR electronic filters; 17. Roundoff noise in electronic suggestions keep watch over platforms; 18. Roundoff blunders in nonlinear dynamic platforms - a chaotic instance; half V. functions of Quantization Noise idea: 19. Dither; 20. Spectrum of quantization noise and prerequisites of whiteness; half VI.Quantization of procedure parameters; 21. Coefficient quantization; Appendices: A. completely bandlimited attribute capabilities; B. common expressions of the moments of the quantizer output, and of the mistakes of Sheppard's Corrections; C. Derivatives of the sinc functionality; D. Proofs of quantizing theorems III and IV; E. Limits of applicability of the speculation - Caveat reader; F. a few homes of the Gaussian PDF and CF; G. Quantization of a sinusoidal enter; H. program of the equipment of appendix G to distributions except sinusoidal; I. a couple of homes of chosen distributions; J. electronic dither; okay. Roundoff noise in clinical computations; L. Simulating arbitrary-precision fixed-point and floating-point roundoff in Matlab; M. a couple of papers from the literature of quantization conception; Bibliography; Index; Appendices N - V to be had on-line in basic terms: N. comparability of the attribute functionality approach and Sheppard's procedure; O. Interpolation of the cumulative distribution functionality from the histogram and numerical reconstruction of the enter PDF; P. Small bit-number correlation; Q. Noise shaping and sigma-delta modulation; R. Second-order statistical homes of a triangle-wave sign; S. attribute features of amounts concerned whilst utilizing Dither; T. sort corrections; U. comparability of the engineers' Fourier remodel and definition of the attribute functionality; V. a couple of extra papers from the literature of quantization conception

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