| Description |
1 online resource (xxviii, 751 pages) : illustrations |
| Contents |
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 |
| Summary |
Authoritative analysis of quantization (roundoff error), ideal for those working in digital signal processing, control or numerical analysis |
| Bibliography |
Includes bibliographical references and index |
| Notes |
English |
|
Print version record |
| Subject |
Roundoff errors.
|
|
MATHEMATICS -- Numerical Analysis.
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|
Roundoff errors
|
| Form |
Electronic book
|
| Author |
Kollar, István.
|
| ISBN |
9780511409905 |
|
0511409907 |
|
9780521886710 |
|
0521886716 |
|
0511408005 |
|
9780511408007 |
|
9780511408793 |
|
051140879X |
|
1107186870 |
|
9781107186873 |
|
9786611717070 |
|
6611717072 |
|
0511409362 |
|
9780511409363 |
|
0511407262 |
|
9780511407260 |
|
0511754663 |
|
9780511754661 |
|
