A design method for separable-denominator 2D IIR filters using a stability criterion based on the system matrix

T. Miyata, N. Aikawa, Y. Sugita, T. Yoshikawa
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引用次数: 8

Abstract

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 a stability criterion 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. A stability criterion based on the system matrix is a necessary and sufficient condition to guarantee stability in 1D IIR filters. Therefore, separable 2D IIR filters obtained by the proposed method have a smaller error ripple than those obtained by the conventional method.
一种基于系统矩阵的可分分母二维IIR滤波器的稳定性准则设计方法
本文利用基于系统矩阵的稳定性准则,提出了用连续投影(SP)方法设计可分二维无限脉冲响应滤波器(可分二维IIR滤波器)的方法。众所周知,可分离二维IIR滤波器是稳定的当且仅当每一个分母是稳定的。因此,一维IIR滤波器的稳定性判据可用于可分离的二维IIR滤波器。基于系统矩阵的稳定性判据是保证一维IIR滤波器稳定性的充分必要条件。因此,该方法得到的二维IIR滤波器的误差纹波比传统方法得到的误差纹波小。
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