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Masayoshi Nakamoto,Yuuki Hayakawa,Yutaka Kurumaji,Takao Hinamoto 대한전자공학회 2008 ITC-CSCC :International Technical Conference on Ci Vol.2008 No.7
In this paper, we formulate the filter design problem based on modified least square criterion in the frequency domain. Here the problem is expressed as quadratic form and we optimize the filter coefficients by using branch and bound method in discrete space. In the branch and bound method, we calculate the relaxation solution based on the Lagrange multiplier method and search in the domain in which good possible solutions exist. In this method, the stable solutions whose poles are all inside the unit circle are just acceptable, so the stability of the filter can be guaranteed. Finally, numerical example is given to illustrate the utility of the proposed method.