Quantization noise : roundoff error in digital computation, signal processing, control, and communications
- نوع فایل : کتاب
- زبان : انگلیسی
- مؤلف : Bernard Widrow; István Kollar
- ناشر : Cambridge ; New York : Cambridge University Press
- چاپ و سال / کشور: 2008
- شابک / ISBN : 9780511409905
Description
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.
Authoritative analysis of quantization (roundoff error), ideal for those working in digital signal processing, control or numerical analysis.
