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TSP.2012.2188522.pdf | 273.84 kB | Adobe PDF | 見る/開く |
タイトル: | Frequency Domain Min-Max Optimization of Noise-Shaping Delta-Sigma Modulators |
著者: | Nagahara, Masaaki Yamamoto, Yutaka |
著者名の別形: | 永原, 正章 |
キーワード: | Delta-sigma modulators min-max optimization noise-shaping quantization |
発行日: | Jun-2012 |
出版者: | IEEE |
誌名: | IEEE Transactions on Signal Processing |
巻: | 60 |
号: | 6 |
開始ページ: | 2828 |
終了ページ: | 2839 |
抄録: | This paper proposes a min-max design of noise-shaping delta-sigma modulators. We first characterize the all stabilizing loop-filters for a linearized modulator model. By this characterization, we formulate the design problem of lowpass, bandpass, and multi-band modulators as minimization of the maximum magnitude of the noise transfer function (NTF) in fixed frequency band(s). We show that this optimization minimizes the worst-case reconstruction error, and hence improves the SNR (signal-to-noise ratio) of the modulator. The optimization is reduced to an optimization with a linear matrix inequality (LMI) via the generalized KYP (Kalman-Yakubovich-Popov) lemma. The obtained NTF is an FIR (finite-impulse-response) filter, which is favorable in view of implementation. We also derive a stability condition for the nonlinear model of delta-sigma modulators with general quantizers including uniform ones. This condition is described as an norm condition, which is reduced to an LMI via the KYP lemma. Design examples show advantages of our design. |
著作権等: | © 2012 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works. この論文は出版社版でありません。引用の際には出版社版をご確認ご利用ください。 This is not the published version. Please cite only the published version. |
URI: | http://hdl.handle.net/2433/171272 |
DOI(出版社版): | 10.1109/TSP.2012.2188522 |
出現コレクション: | 学術雑誌掲載論文等 |
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