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    Please use this identifier to cite or link to this item: http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/70549

    Title: Robust Digital Filter Design for In-band Quantization Noise Reduction in Cascaded Sigma-Delta Modulators
    Authors: Chou, Yung-shan;Lin, Chun-chen;Chang, Yun-lun
    Contributors: 淡江大學電機工程學系
    Date: 2009-11
    Issue Date: 2011-10-23 21:25:53 (UTC+8)
    Publisher: Mechanical Engineering Department NTUT; the Chinese Automatic Control Society
    Abstract: This study investigates the problem of robust H∞ filtering in finite frequency domain for polytopic systems. Robust fixed-order, infinite-impulse-response (IIR) and finite-impulse-response (FIR) designs via indirect approach and direct method are presented. The aforementioned techniques refer to the conventional loop shaping method and that uses recently introduced generalised Kalman-Yakubovich-Popov (GKYP) lemma, respectively. The authors consider a frequency-domain polytopic model which includes two well-known special cases, that is, the interval plants and the set of transfer functions with affinely dependent uncertain parameters belonging to a convex-bounded polyhedral domain. They derive conditions for the existence of linear-time invariant (LTI) filters. These conditions, irrespective of the uncertain parameters, guarantee both asymptotic stability of the polytopic systems and the filters, and a guaranteed H∞ performance in finite frequency domain. Extension of the results to the multi-band case is straightforward, where the advantages of arbitrary filter order and dropping the use of weighting functions is even more obvious. As an example, the authors apply the proposed methods to in-band quantisation noise reduction for uncertain cascaded sigma-delta modulators. By comprehensive comparisons with existing methods, they show the viability and efficiency of their design.
    Relation: 2009 CACS International Automatic Control Conference, pp.1155 - 1171
    DOI: 10.1049/iet-cta.2010.0053
    Appears in Collections:[電機工程學系暨研究所] 會議論文

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