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 language | English |
|---|---|
| Pages (from-to) | 53-61 |
| Number of pages | 9 |
| Journal | Journal of the Chinese Institute of Electrical Engineering, Transactions of the Chinese Institute of Engineers, Series E/Chung KuoTien Chi Kung Chieng Hsueh K'an |
| Volume | 7 |
| Issue number | 1 |
| Publication status | Published - 2000 Feb 1 |
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All Science Journal Classification (ASJC) codes
- Electrical and Electronic Engineering
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Coefficients synthesis method for high-order bandpass sigma-delta modulators. / Lee, Shuenn-Yuh; Kuo, Tai-Haur; Horng, Jaw Juinn.
In: Journal of the Chinese Institute of Electrical Engineering, Transactions of the Chinese Institute of Engineers, Series E/Chung KuoTien Chi Kung Chieng Hsueh K'an, Vol. 7, No. 1, 01.02.2000, p. 53-61.Research output: Contribution to journal › Article
TY - JOUR
T1 - Coefficients synthesis method for high-order bandpass sigma-delta modulators
AU - Lee, Shuenn-Yuh
AU - Kuo, Tai-Haur
AU - Horng, Jaw Juinn
PY - 2000/2/1
Y1 - 2000/2/1
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.
AB - 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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M3 - Article
VL - 7
SP - 53
EP - 61
JO - International Journal of Electrical Engineering
JF - International Journal of Electrical Engineering
SN - 1812-3031
IS - 1
ER -