A fast design algorithm for elliptic-error and phase-error constrained LS 2-D FIR filters
A fast design algorithm for elliptic-error and phase-error constrained LS 2-D FIR filters
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DOI：
10.1007/s11045-014-0312-5
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发表时间：
2015-01
影响因子：
2.5
通讯作者：
Xiaoying Hong;Xiaoping Lai;Ruijie Zhao
中科院分区：
文献类型：
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作者：
Xiaoying Hong;Xiaoping Lai;Ruijie Zhao
二维（2-D）非线性相位有限脉冲响应（FIR）滤波器在信号处理和通信系统中有许多应用。本文研究了二维非线性相位FIR滤波器的椭圆误差约束和相位误差约束最小二乘设计问题，提出了一种基于矩阵的算法，直接求解滤波器系数矩阵的设计问题，而不是像传统方法那样先对其进行矢量化。基于矩阵的设计算法比现有的设计算法节省了大量的设计时间。设计实例和与现有方法的比较验证了所提设计方法的有效性和高效性。
Two-dimensional (2-D) nonlinear-phase finite impulse response (FIR) filters have found many applications in signal processing and communication systems. This paper considers the elliptic-error and phase-error constrained least-squares design of 2-D nonlinear-phase FIR filters, and develops a matrix-based algorithm to solve the design problem directly for the filter’s coefficient matrix rather than vectorizing it first as in the conventional methods. The matrix-based algorithm makes the design to consume much less design time than existing algorithms. Design examples and comparisons with existing methods demonstrate the effectiveness and high efficiency of the proposed design method.