### 摘要

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.

原文 | English |
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頁（從 - 到） | 53-61 |

頁數 | 9 |

期刊 | 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 |

卷 | 7 |

發行號 | 1 |

出版狀態 | Published - 2000 二月 1 |

### 指紋

### All Science Journal Classification (ASJC) codes

- Electrical and Electronic Engineering

### 引用此

*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*,

*7*(1), 53-61.