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基于拉格朗日乘子法的二维修正DFT调制滤波器组设计算法

周芳 水鹏朗 蒋俊正

周芳, 水鹏朗, 蒋俊正. 基于拉格朗日乘子法的二维修正DFT调制滤波器组设计算法[J]. 电子与信息学报, 2017, 39(5): 1261-1265. doi: 10.11999/JEIT160651
引用本文: 周芳, 水鹏朗, 蒋俊正. 基于拉格朗日乘子法的二维修正DFT调制滤波器组设计算法[J]. 电子与信息学报, 2017, 39(5): 1261-1265. doi: 10.11999/JEIT160651
ZHOU Fang, SHUI Penglang, JIANG Junzheng. Design of Two-dimensional Modified DFT Modulated Filter Banks Based on Lagrange Multiplier Method[J]. Journal of Electronics & Information Technology, 2017, 39(5): 1261-1265. doi: 10.11999/JEIT160651
Citation: ZHOU Fang, SHUI Penglang, JIANG Junzheng. Design of Two-dimensional Modified DFT Modulated Filter Banks Based on Lagrange Multiplier Method[J]. Journal of Electronics & Information Technology, 2017, 39(5): 1261-1265. doi: 10.11999/JEIT160651

基于拉格朗日乘子法的二维修正DFT调制滤波器组设计算法

doi: 10.11999/JEIT160651
基金项目: 

国家自然科学基金(61261032)

Design of Two-dimensional Modified DFT Modulated Filter Banks Based on Lagrange Multiplier Method

Funds: 

The National Natural Science Foundation of China (61261032)

  • 摘要: 基于拉格朗日乘子法,该文提出一种2维修正离散傅里叶变换调制滤波器组的迭代设计方法。在每次迭代中,原型滤波器的设计描述成一个约束为2次函数的2次规划问题。引入拉格朗日乘子法将问题转化为无约束的优化问题,通过求解线性矩阵方程得到优化问题的解。针对矩阵方程中的系数矩阵的特点,运用块LU分解,显著降低了运算复杂度。仿真实验表明,与现有的设计方法相比,该文方法设计得到的2维修正离散傅里叶变换调制滤波器组的重构误差和阻带衰减均有较大的改善。
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出版历程
  • 收稿日期:  2016-06-21
  • 修回日期:  2016-11-28
  • 刊出日期:  2017-05-19

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