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Quantization noise : roundoff error in digital computation, signal processing, control, and communications /
Authoritative analysis of quantization (roundoff error), ideal for those working in digital signal processing, control or numerical analysis.
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge ; New York :
Cambridge University Press,
2008.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- 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.