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二维线性相位FIR数字滤波器的优化设计

王小华 何怡刚 彭玉楼

王小华, 何怡刚, 彭玉楼. 二维线性相位FIR数字滤波器的优化设计[J]. 电子与信息学报, 2005, 27(11): 1755-1759.
引用本文: 王小华, 何怡刚, 彭玉楼. 二维线性相位FIR数字滤波器的优化设计[J]. 电子与信息学报, 2005, 27(11): 1755-1759.
Wang Xiao-hua, He Yi-gang, Peng Yu-lou. Optimum Design of 2-D Linear-Phase FIR Digital Filters[J]. Journal of Electronics & Information Technology, 2005, 27(11): 1755-1759.
Citation: Wang Xiao-hua, He Yi-gang, Peng Yu-lou. Optimum Design of 2-D Linear-Phase FIR Digital Filters[J]. Journal of Electronics & Information Technology, 2005, 27(11): 1755-1759.

二维线性相位FIR数字滤波器的优化设计

Optimum Design of 2-D Linear-Phase FIR Digital Filters

  • 摘要: 该文提出了一种用神经网络算法来设计二维线性相位数字滤波器的新方法。通过分析二维FIR线性相位滤波器的幅频响应特性,建立了神经网络算法。根据给定的幅频响应指标,按该算法可获得滤波器系数。为保证该算法的稳定性,提出并证明了该算法的收敛定理。文中给出了圆对称和矩形对称二维低通线性相位FIR数字滤波器优化设计实例。计算机仿真结果表明由该方法设计的二维数字滤波器,通带和阻带范围波动小,所需计算量非常少,稳定性强,因而是一种优异的设计方法。
  • Huang T S. Two-dimensional windows[J]. IEEE Trans.on Audio Electroacoust, 1972, 20(3): 80-90.[2]Speake T C, Mersereau R M. Anote on the use of windows for 2-D filter design[J].IEEE Trans. on ASSP.1981, 29(2):125-127[3]Merserau R M, et al.. McClellan transformations for 2-D digital filtering[J]. IEEE Trans.on Circuits Syst. I, 1976, 3(7): 405-413.[4]Nguyen D T, Swamy M N S. Formulas for parameters scaling in the McClellan transform[J].IEEE Trans.on Circuits Syst.1986, 33 (1):108-109[5]Algazi V R, et al.. Design of almost minimax FIR filters in one and two dimensions by WLS techniques[J].IEEE Trans.on Circuits Syst.1986, 33 (6):590-596[6]Hsieh C H, Kuo C M, Jou Y D, et al.. Design of two- dimensional FIR digital filters by a two- dimensional WLS technique[J].IEEE Trans.on Circuits Syst. II.1997, 44 (5):348-412[7]Charalambous C. The performance of an algorithm on minimax design of two- dimensional linear phase FIR filters[J].IEEE Trans. on Circuits Syst.1985, 32(10):1016-1028[8]Lang M, Selesnick I W, Burrus C S. Constrained least squares design of 2-D FIR filters[J].IEEE Trans. on Signal Processing.1996, 44 (5):1234-1241[9]Tseng Chien-Cheng. Design of 1-D and 2-D variable fractional delay allpass filters using weighted least-square method[J].IEEE Trans. on Circuits Syst. I.2002, 49 (10):1413-1422[10]Zhu W P, Ahmad M O, Swamy M N S. A closed form solution to the least square design problem of 2-D linear phase FIR filters[J].[11]IEEE Trans. on Circuits Syst. II, 1997,12 (44): 1032-1039.[12]Lu W S. Aunified approach for the design of 2- D digital filtersvia semidefinite programming[J].IEEE Trans.on Circuits Syst. I.2002, 49 (6):814-825[13]Charalambous C. The performance of an algorithm on minimax design of two- dimensional linear phase FIR filters[J].IEEE Trans. on Circuits Syst.1985, 32 (10):1016-1028
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出版历程
  • 收稿日期:  2004-06-01
  • 修回日期:  2004-11-17
  • 刊出日期:  2005-11-19

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