Basic study on realization for digital filters under finite word-length constraints

2015 Fiscal Year Final Research Report

• Project/Area Number: 25420372
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Research Field: Communication/Network engineering
• Research Institution: Hiroshima University
• Principal Investigator: Fukumitsu Masayoshi (中本昌由) 広島大学, 工学(系)研究科(研究院), 助教 (00403585)
• Project Period (FY): 2013-04-01 – 2016-03-31
• Keywords: ディジタルフィルタ / ディジタル微分器 / ロバスト安定 / スパース表現 / 離散最適化

Outline of Final Research Achievements

In this work, we consider the design method for infinite impulse response (IIR) digital filters and digital differentiators. First, we formulate the filter design problem by linearizing the weighted least squared error criterion. We employ a multiband-response and differentiation-response as an ideal response. Then, the design problem can be expressed in a quadratic form (convex function) without requiring any frequency sampling. Furthermore, we develop a design algorithm which can specify the maximum pole radius without any iterative optimization. By utilizing the results above, we propose several more design methods for filters which have semi-sparse (0, 1, -1) coefficients or discrete coefficients.

Free Research Field

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