| 线性迭代算法设计双正交余弦调制滤波器组 |
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| 引用本文： | 田丰,张子敬.线性迭代算法设计双正交余弦调制滤波器组[J].重庆邮电学院学报(自然科学版),2006,18(4):430-433. |
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| 作者姓名： | 田丰 张子敬 |
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| 作者单位： | 西安电子科技大学雷达信号处理国家重点实验室,西安710071 |
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| 基金项目： | 国家自然科学基金资助（60472086） |
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| 摘 要： | 介绍了一种用于设计双正交余弦调制滤波器组的线性化方法。该方法中，目标函数和完全重构条件均被表示成为原型滤波器系数矢量的二次函数形式。使用拉格朗日乘数方法，算法通过迭代求解线性方程来获得期望的原型滤波器系数矢量。该方法最大优点在于设计过程简单易行并且计算效率非常高。设计实例表明，该算法对于双正交余弦调制滤波器组的设计是非常有效的。
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| 关 键 词： | 双正交余弦调制滤波器组 完全重构 迭代设计 可变系统时延 |
| 文章编号： | 1004-5694（2006）04-0430-04 |
| 收稿时间： | 2006-06-02 |
Linear iterative algorithm to design biorthogonal cosine modulation filter banks |
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| TIAN Feng, ZHANG Zi-jing.Linear iterative algorithm to design biorthogonal cosine modulation filter banks[J].Journal of Chongqing University of Posts and Telecommunications(Natural Sciences Edition),2006,18(4):430-433. |
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| Authors: | TIAN Feng ZHANG Zi-jing |
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| Abstract: | A linearization method to design biorthogonal cosine modulation(BCM) filter banks is proposed.In our proposed method,both the objective function and the perfect reconstruction condition are expressed as a quadratic function of the prototype filter coefficient vector.By using the Lagrange multiplier approach,the design procedure is formulated as solving the linear equation iteratively to obtain the desirable prototype filter coefficient vector.The main advantages of the proposed method are simple design procedure and computational efficiency.A design example is presented to demonstrate the validity of the proposed algorithm. |
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| Keywords: | Biorthogonal cosine modulation filter banks perfect reconstruction iterative design variable system delay |
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