A Design Method for Separable-Denominator 2D IIR Filters with a Necessary and Sufficient Stability Check

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概要

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• In this paper, we propose designing method for separable-denominator two-dimensional Infinite Impulse Response (IIR) filters (separable 2D IIR filters) by Successive Projection (SP) methods using the stability criteria based on the system matrix. It is generally known that separable 2D IIR filters are stable if and only if each of the denominators is stable. Therefore, the stability criteria of 1D IIR filters can be used for separable 2D IIR filters. The stability criteria based on the system matrix are a necessary and sufficient condition to guarantee stability in 1D IIR filters. Therefore, separable 2D IIR filters obtained by the proposed design method have a smaller error ripple than those obtained by the conventional design method using the stability criterion of Rouchés theorem.

• （社）電子情報通信学会の論文
• 2009-01-01

著者

• Miyata Toma

  Graduate School Of Engineering Nihon University

• AIKAWA Naoyuki

  Faculty of Industrial Science and Technology, Tokyo University of Science

• SUGITA Yasunori

  Nagaoka University of Technology

• YOSHIKAWA Toshinori

  Nagaoka University of Technology

• Aikawa Naoyuki

  Faculty Of Industrial Science And Technology Tokyo University Of Science

• Sugita Yasunori

  Nagaoka Univ. Technol. Nagaoka‐shi Jpn

関連論文

• A Design Method for Separable-Denominator 2D IIR Filters with a Necessary and Sufficient Stability Check
• FIR Filters with Given Rise Characteristics in the Step Response (Special Section on Digital Signal Processing)

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