Quantization noise : roundoff error in digital computation, signal processing, control, and communications / Bernard Widrow and István Kollár.

Includes bibliographical references (pages 733-741) and index.

Introduction -- Sampling theory -- Probability density functions, characteristic functions, moments -- 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 output -- 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 -- Basics of floating-point quantization -- More on floating-point quantization -- Cascades of fixed-point and floating-point quantizers -- 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 -- Dither -- Spectrum of quantization noise and conditions of whiteness -- Coefficient quantization -- Appendixes: 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. The first paper on sampling-related quantization theory.

"If you are working in digital signal processing, control, or numerical analysis, you will find this authoritative treatment of quantization noise (roundoff error) to be an invaluable resource." "Do you know where the theory of quantization comes from, and under what circumstances it is true? Expert authors, including the founder of the field and formulator of the theory of quantization noise, Bernard Widrow, answer these and other important practical questions. They describe and analyze uniform quantization, floating-point quantization, and their applications in detail."--Jacket.