High-performance variable band-pass/band-stop state-space digital filters using Gramian-preserving frequency transformation

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• 作者：Shunsuke Koshita ; ^{kosita@mk.ecei.tohoku.ac.jp" class="auth_mail}Author Vitae ; Keita Miyoshi¹Author Vitae ; Masahide AbeAuthor Vitae ; Masayuki KawamataAuthor Vitae
• 关键词：Variable digital filter ; Finite wordlength effect ; State-space representation ; Gramian-preserving frequency transformation ; Four-multiplier-lattice structure
• 刊名：Digital Signal Processing
• 出版年：April, 2014
• 年：2014
• 卷：27
• 期：Complete
• 页码：175-184
• 全文大小：547 K

文摘

This paper presents a simple state-space-based method for design and realization of variable band-pass/band-stop IIR digital filters. Our proposed variable filters not only allow us to tune the frequency characteristics, but also ensure high-performance with respect to finite wordlength effects such as -norm dynamic range scaling, limit cycles, roundoff noise, and coefficient sensitivity. We achieve this property using the Gramian-preserving frequency transformation, which is implemented by replacing each delay element in a given prototype filter with a second-order all-pass function that has the four-multiplier-lattice structure. It is shown that our proposed variable filters are described in a rather simple form without the need of the inverse matrix that appeared in the conventional Gramian-preserving frequency transformation. Moreover, we show the high-performance of our proposed method in comparison with other possible types of frequency transformations that are implemented by the typical one-multiplier/two-multiplier-lattice forms and the direct form.