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A method to convert near-perfect into perfect reconstruction FIR prototype filters for modulated filter banks

机译:一种将近完美转换为用于调制滤波器组的完美重构FIR原型滤波器的方法

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In this contribution we propose a simple method of obtaining a perfect reconstruction (PR) FIR prototype filter starting from a given near-perfect reconstruction (NPR) prototype filter for complex modulated filter banks. Our method consists of two steps. First, we calculate the product of a pair of polyphase components that fulfill the PR conditions, and second, we search for spectral factors that maximize the correlation coefficients between the impulse response of the new polyphase components and of the original ones. Our preliminary numerical results show that the price to be payed to satisfy the PR conditions is some loss in the spectral characteristics.
机译:在本文中,我们提出了一种从复杂调制滤波器组的给定近完美重构(NPR)原型滤波器开始获取理想重构(PR)FIR原型滤波器的简单方法。我们的方法包括两个步骤。首先,我们计算满足PR条件的一对多相分量的乘积,其次,我们搜索使新的多相分量和原始多相分量的脉冲响应之间的相关系数最大化的频谱因子。我们的初步数值结果表明,要满足PR条件要付出的代价是光谱特性的一些损失。

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