SDP formulation for design of general 2-D ellipse-shaped filters

Hung Quang Ta, L. Thăng
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Abstract

In this paper, we propose a new technique for the design of linear phase 2-D ellipse-shaped FIR filter subject to frequency mask constraints, which can handle filters of sufficiently large sizes for practical applications. The designed 2-D filters admit a fast digital implementation. Filter's specifications are expressed as semi-definite constraints using the notion of 2-D trigonometric curves. Moreover, we exploited convex duality to derive equivalent semi-definite programme formulation of reduced constraints. The designed example shows the viability of proposed method.
一般二维椭圆滤波器设计的SDP公式
在本文中,我们提出了一种受频率掩模约束的线性相位二维椭圆型FIR滤波器的设计新技术,它可以处理实际应用中足够大尺寸的滤波器。所设计的二维滤波器允许快速数字化实现。滤波器的规格用二维三角曲线的概念表示为半确定的约束。此外,我们利用凸对偶性推导出约简约束的等价半定规划公式。设计实例表明了该方法的可行性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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