圆形滤波器组的有效设计程序

R. Matei
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引用次数: 1

摘要

本文描述了一种有效的二维零相位圆滤波器组解析设计方法。它们是由具有特定带宽的一维原型滤波器通过特定的频率变换得到的。通过此程序产生的滤波器具有精确的圆形形状,甚至接近频率平面边缘,并且它们具有相对低阶的非常陡峭的过渡,因此非常有效。频率响应结果直接因式分解,因此大的滤波矩阵被分解为较小的六个矩阵的卷积,这简化了实现,并允许在几个步骤中顺序实现滤波。给出了一种具有八分量的圆形滤波器组的设计实例。该方法完全基于精确的近似和频率映射,而不依赖于任何全局数值优化算法。给出了对测试图像进行滤波的仿真结果。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Efficient Design Procedure for Circular Filter Banks
In this work an efficient analytic design method for 2D zero-phase circular filter banks is described. They are obtained from 1D prototype filters with specified bandwidth, to which a particular frequency transformation is applied. The filters resulted through this procedure have a precise circular shape even close to frequency plane margins and they have a very steep transition for relatively a low order, thus being very efficient. The frequency response results directly factored, thus the large filter matrices are decomposed as a convolution of smaller sixe matrices, which simplifies the implementation and allows to realize the filtering sequentially, in several steps. A design example is provided for a circular filter bank with eight components. The proposed method is based entirely on accurate approximations and frequency mappings, without resorting to any global numerical optimization algorithms. Simulation results of filtering on test images are also provided.
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