The heart of a \Delta\Sigma modulator and any other analog-to-digital converter (ADC) is a quantizer, a device which maps real numbers into a finite set of possible representative values, often as few as two. Any analysis of the behavior of a \Delta\Sigma modulator must include consideration
|
1164
|
Vector Quantization and Signal Compression
– Gersho, Gray
- 1992
|
|
437
|
Vector quantization
– Gray
- 1984
|
|
101
|
Ergodic Theory
– Petersen
- 1983
|
|
54
|
Spectra of quantized signals
– Bennett
- 1948
|
|
37
|
Quantization noise spectra
– Gray
- 1990
|
|
35
|
An introduction to the theory of random signals and noise
– Davenport, Root
- 1958
|
|
34
|
A use of double integration in sigma delta modulation
– Candy
- 1985
|
|
26
|
A Necessary and Sufficient Condition for Quantization Errors to be Uniform and White
– Sripad, Snyder
- 1977
|
|
25
|
Nonlinear Control Engineering
– Atherton
- 1982
|
|
25
|
Oversampled sigma-delta modulation
– Gray
- 1987
|
|
24
|
Dither signals and their effect on quantization noise
– Schuchman
- 1964
|
|
22
|
Decimation for sigma delta modulation
– Candy
- 1986
|
|
21
|
Picture coding using pseudo-random noise
– Roberts
- 1962
|
|
20
|
An analysis of nonlinear behavior in delta-sigma modulators
– Ardalan, Paulos
- 1987
|
|
20
|
A Use of Limit Cycle Oscillations to Obtain Robust Analog-to-Digital Converters
– Candy
- 1974
|
|
19
|
The structure of quantization noise from sigma-delta modulation
– Candy, Benjamin
- 1981
|
|
19
|
Spectral analysis of quantization noise in a single-loop sigma-delta modulator with dc input
– Gray
- 1989
|
|
17
|
Almost Periodic Functions
– Bohr
- 1947
|
|
17
|
Digital Coding of Waveforms. Englewood Cliffs
– Jayant, Noll
- 1984
|
|
15
|
Two results on the asymptotic performance of quantizers
– Bucklew
- 1984
|
|
15
|
A unity bit coding method by negative feedback
– Inose, Yasuda
- 1963
|
|
14
|
A study of rough amplitude quantization by means of nyquist sampling theory
– Widrow
- 1956
|
|
13
|
Some properties of uniform step size quantizers
– Bucklew, Gallagher
- 1980
|
|
12
|
An improved sigma-delta modulator architecture
– Leslie, Singh
- 1990
|
|
11
|
Quantization Noise in Single-Loop Sigma-Delta Modulation with Sinusoidal Inputs
– Gray, Chou, et al.
- 1989
|
|
10
|
Mathematical Analysis of Random Noise," Bell Syst
– Rice
- 1944
|
|
10
|
Model for the Power Spectral Density of Quantization Noise
– Claasen, Jongepier
- 1981
|
|
9
|
Transmission systems employing quantization
– Cutler
- 1960
|
|
9
|
Multistage Sigma-Delta Modulation
– Chou, Wong, et al.
- 1989
|
|
8
|
A note on optimum quantization
– Bucklew, Gallagher
- 1979
|
|
7
|
Quantization error in predictive coders
– Arnstein
- 1975
|
|
7
|
Statistical analysis of amplitude quantized sampled data systems
– Widrow
- 1960
|
|
6
|
Nonlinear system analysis. Englewood Cliffs
– Vidyasagar
- 1993
|
|
6
|
Stability of Nonlinear Systems
– Atherton
- 1981
|
|
6
|
Dither in digital audio
– Vanderkooy, Lipshitz
- 1987
|
|
6
|
Calculated quantizing noise of single-integration delta-modulation coders
– Iwersen
- 1969
|
|
6
|
Double-loop sigma-delta modulation with dc input
– He, Kuhlmann, et al.
- 1990
|
|
6
|
Sigma-Delta Modulation with I.I.D. Gaussian Inputs
– Wong, Gray
- 1990
|
|
5
|
Nonlinear control systems with random inputs
– Booton
- 1954
|
|
5
|
Stochastic stability for feedback quantization schemes
– Kieffer
- 1982
|
|
5
|
On a type of stochastic stability for a class of encoding schemes
– Kieffer, Dunham
- 1983
|
|
4
|
Exact asymptotic statistics for sigma-delta quantization noise
– Delchamps
- 1990
|
|
4
|
Sigma Delta Modulators: Nonlinear Decoding Algorithms and Stability Analysis
– Hein, Zakhor
- 1993
|
|
3
|
Grieg, "Distortion in a Pulse Count Modulation System
– Clavier, Panter, et al.
- 1947
|
|
3
|
Using triangularly weighted interpolation to get 13-bit PCM from a sigma-delta modulator
– Candy, Ching, et al.
- 1976
|
|
3
|
Dithering and its effects on Sigma-Delta and multistage Sigma-Delta modulation
– Chou, Gray
- 1991
|
|
3
|
Sigma-Delta modulation with leaky integration and constant input
– Park, Gray
- 1992
|
|
3
|
Sigma-delta modulators with multi-bit quantizing elements and single-bit feedback
– Leslie, Singh
- 1992
|
|
3
|
Optimal MSE signal reconstruction in oversampled A/D conversion using convexity
– Thao, Vetterli
- 1992
|
|
3
|
Oversampled A/D conversion using alternate projections
– Thao, Vetterli
- 1991
|