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Principles of Sigma-Delta Modulation for ADC
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motolora关于Sigma-Delta数据转换的文档。包括sigma——Delta调制,降采样滤波器的设计。
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MOTOROLA APR8
by
Sangil Park, Ph. D.
Strategic Applications
Digital Signal Processor Operation
Motorola
Digital Signal
Processors
Principles of Sigma-Delta
Modulation for Analog-to-
Digital Converters
Motorola reserves the right to make changes without further notice to any products here-
in. Motorola makes no warranty, representation or guarantee regarding the suitability of
its products for any particular purpose, nor does Motorola assume any liability arising out
of the application or use of any product or circuit, and specifically disclaims any and all
liability, including without limitation consequential or incidental damages. “Typical” pa-
rameters can and do vary in different applications. All operating parameters, including
“Typicals” must be validated for each customer application by customer’s technical ex-
perts. Motorola does not convey any license under its patent rights nor the rights of oth-
ers. Motorola products are not designed, intended, or authorized for use as components
in systems intended for surgical implant into the body, or other applications intended to
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Buyer shall indemnify and hold Motorola and its officers, employees, subsidiaries, affili-
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ty/Affirmative Action Employer.
Table
of Contents
MOTOROLA iii
I
ntroduction
Conventional Analog-to-Digital Converters
Quantization Error in A/D Conversion
Oversampling and Decimation Basics
Delta Modulation
Sigma-Delta modulation for A/D Converters
(Noise Shaping)
6.1 Analysis of Sigma-Delta Modulation in
Z-Transform Domain
Digital Decimation Filtering
7.1 Comb-Filter Design as a Decimator
7.2 Second Section Decimation FIR Filter
Mode Resolution by Filtering the Comb-Filter
Out put with Half-Band Filters
Summary
SECTION 1
SECTION 2
SECTION 3
SECTION 4
SECTION 5
SECTION 6
SECTION 7
SECTION 8
SECTION 9
REFERENCES
1-1
2-1
3-1
4-1
5-1
6-1
6-6
7-1
7-5
7-10
8-1
9-1
References-1
MOTOROLA v
Illustrations
Generalized Analog-to-Digital Conversion Process
Conventional Analog-to-Digital Conversion Process
Spectra of Analog and Sampled Signals
Quantization Error
Noise Spectrum of Nyquist Samplers
Comparison Between Nyquist Samplers and 2X
Oversamplers
Anti-Aliasing Filter Response and Noise Spectrum of
Oversampling A/D Converters
Frequency Response of Analog Anti-Aliasing Filters
Simple Example of Decimation Process
Delta Modulation and Demodulation
Derivation of Sigma-Delta Modulation from
Delta Modulation
Block Diagram of Sigma-Delta Modulation
S-Domain Analysis of Sigma-Delta Modulator
Block Diagram of First-Order Sigma-Delta A/D
Converter
Input and Output of a First-Order Sigma-Delta
Modulator
Z-Domain Analysis of First-Order Noise Shaper
Spectrum of a First-Order Sigma-Delta
Noise Shaper
2-2
2-3
2-5
3-3
3-3
4-3
4-5
4-6
4-7
5-2
6-1
6-2
6-3
6-5
6-6
6-7
6-9
Figure 2-1
Figure 2-2
Figure 2-3
Figure 3-1
Figure 3-2
Figure 4-1
Figure 4-2
Figure 4-3
Figure 4-4
Figure 5-1
Figure 6-1
Figure 6-2
Figure 6-3
Figure 6-4
Figure 6-5
Figure 6-6
Figure 6-7
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- timeaxis2012-03-14主要讲sigma_Delta调制,降采样滤波器的设计
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