Basic study on realization for digital filters under finite word-length constraints
| Project/Area Number |
25420372
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Research Field |
Communication/Network engineering
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| Research Institution | Hiroshima University |
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Principal Investigator |
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| Project Period (FY) |
2013-04-01 – 2016-03-31
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| Project Status |
Completed (Fiscal Year 2015)
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| Budget Amount *help |
¥5,070,000 (Direct Cost: ¥3,900,000、Indirect Cost: ¥1,170,000)
Fiscal Year 2015: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2014: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2013: ¥2,470,000 (Direct Cost: ¥1,900,000、Indirect Cost: ¥570,000)
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| 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 / IIRディジタルフィルタ / FIRディジタルフィルタ / マルチバンドフィルタ / 微分器 / 帯域通過フィルタ / 最適化 / 有限語長 / フィルタ設計 / 2次形式 / システム同定 |
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| 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.
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Report
(4 results)
Research Products
(35 results)
