Journal ArticleDOI
Decimation for Sigma Delta Modulation
TLDR
It is shown that digital filters comprising cascades of integrate-and-dump functions can match the structure of the noise from sigma delta modulation to provide decimation with negligible loss of signal-to-noise ratio.Abstract:
Decimation is an important component of oversampled analog-to-digital conversion. It transforms the digitally modulated signal from short words occurring at high sampling rate to longer words at the Nyquist rate. Here we are concerned with the initial stage of decimation, where the word rate decreases to about four times the Nyquist rate. We show that digital filters comprising cascades of integrate-and-dump functions can match the structure of the noise from sigma delta modulation to provide decimation with negligible loss of signal-to-noise ratio. Explicit formulas evaluate particular tradeoffs between modulation rate, signal-to-noise ratio, length of digital words, and complexity of the modulating and decimating functions.read more
Citations
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Book
Understanding Delta-Sigma Data Converters
TL;DR: This chapter discusses the design and simulation of delta-sigma modulator systems, and some of the considerations for implementation considerations for [Delta][Sigma] ADCs.
Journal ArticleDOI
Multirate digital signal processing
TL;DR: This book by Elliott and Rao is a valuable contribution to the general areas of signal processing and communications and can be used for a graduate level course in perhaps two ways.
Journal ArticleDOI
The design of sigma-delta modulation analog-to-digital converters
TL;DR: The author examines the practical design criteria for implementing oversampled analog/digital converters based on second-order sigma-delta ( Sigma Delta ) modulation and applies these criteria to the design of a modulator that has been integrated in a 3- mu m CMOS technology.
Journal ArticleDOI
Quantization noise spectra
TL;DR: Exact formulas for quantizer noise spectra are developed and several results describing the behavior of quantization noise in a unified and simplified manner are discussed.
Journal ArticleDOI
Oversampled Sigma-Delta Modulation
TL;DR: This paper rigorously derive several basic properties of a simple discrete-time single integrator loop sigma-delta modulator with an accumulate-and-dump demodulator and shows that when the input is constant, the state sequence of the integrator in the encoder loop can be modeled exactly as a linear system in an appropriate space.
References
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Journal ArticleDOI
Multirate digital signal processing
TL;DR: This book by Elliott and Rao is a valuable contribution to the general areas of signal processing and communications and can be used for a graduate level course in perhaps two ways.
Journal ArticleDOI
A Use of Double Integration in Sigma Delta Modulation
TL;DR: A modulator that employs double integration and two-level quantization is easy to implement and is tolerant of parameter variation.
Journal ArticleDOI
Interpolation and decimation of digital signals—A tutorial review
R. Crochiere,Lawrence R. Rabiner +1 more
TL;DR: This paper presents a tutorial overview of multirate digital signal processing as applied to systems for decimation and interpolation and discusses a theoretical model for such systems (based on the sampling theorem), and shows how various structures can be derived to provide efficient implementations of these systems.
Book ChapterDOI
The Structure of Quantization Noise from Sigma-Delta Modulation
James C. Candy,O. Benjamin +1 more
TL;DR: Simple algebraic expressions for this modulation noise and its spectrum in terms of the input amplitude are derived and can be useful for designing oversampled analog to digital converters that use sigma-delta modulation for the primary conversion.
Journal ArticleDOI
Nine digital filters for decimation and interpolation
D. Goodman,M. Carey +1 more
TL;DR: A simple resampling technique is presented that extends the range of designs to conversions between any two rates and can vary slightly as in a practical situation where the input signal and output signal are under the control of autonomous clocks.