Coefficients synthesis method for high-order bandpass sigma-delta modulators

Shuenn-Yuh Lee, Tai-Haur Kuo, Jaw Juinn Horng

Research output: Contribution to journalArticle

Abstract

This paper is the first to realize automatic coefficient synthesis of high-order modulators used in bandpass sigma-delta analog-to-digital converters (ADCs). To begin with, the initial noise transfer functions (NTFs) of bandpass sigma-delta modulators (BPSDMs) are taken from inverse-Chebyshev bandreject filter functions with stopband attenuation equal to the required value. New semi-empirical stability constraints are then used to examine the initial NTFs such that only stable NTFs remain. Tradeoffs among chip area, power consumption, and performance are made to further select a most appropriate NTF from those stable NTFs. The NTF(z) is then fitted to BPSDM structures and their corresponding coefficients can be easily obtained. Feedforward and cascade-of-resonator structures with orders of 6, 8 and 10, are used as examples in this paper. Thus coefficients of stable BPSDMs which meet the required specifications can be automatically generated by a computer program implemented in accordance with the synthesis method. Two design examples that can be applied on communication systems are given.

Original languageEnglish
Pages (from-to)53-61
Number of pages9
JournalJournal of the Chinese Institute of Electrical Engineering, Transactions of the Chinese Institute of Engineers, Series E/Chung KuoTien Chi Kung Chieng Hsueh K'an
Volume7
Issue number1
Publication statusPublished - 2000 Feb 1

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Modulators
Transfer functions
Chebyshev filters
Digital to analog conversion
Computer program listings
Resonators
Communication systems
Electric power utilization
Specifications

All Science Journal Classification (ASJC) codes

  • Electrical and Electronic Engineering

Cite this

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N2 - This paper is the first to realize automatic coefficient synthesis of high-order modulators used in bandpass sigma-delta analog-to-digital converters (ADCs). To begin with, the initial noise transfer functions (NTFs) of bandpass sigma-delta modulators (BPSDMs) are taken from inverse-Chebyshev bandreject filter functions with stopband attenuation equal to the required value. New semi-empirical stability constraints are then used to examine the initial NTFs such that only stable NTFs remain. Tradeoffs among chip area, power consumption, and performance are made to further select a most appropriate NTF from those stable NTFs. The NTF(z) is then fitted to BPSDM structures and their corresponding coefficients can be easily obtained. Feedforward and cascade-of-resonator structures with orders of 6, 8 and 10, are used as examples in this paper. Thus coefficients of stable BPSDMs which meet the required specifications can be automatically generated by a computer program implemented in accordance with the synthesis method. Two design examples that can be applied on communication systems are given.

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