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Iteratively reweighted design of oversampling complex-modulated filter-banks for high output-signal quality

机译:高输出信号质量的过采样复调制滤波器组的迭代重加权设计

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This paper addresses the improvement of the signal-to-disturbance ratio of the output-signal of an oversampling, complex-modulated subband-coder filter-bank pair with extensive subband-signal amplification. The undesired non-linear disturbance is induced by the sample rate conversion within the filter-bank pair and it is hard to predict in dependence of the signal amplification. This has not been considered in most current design methods, leading to high prototype filter lengths in order to obtain desired signal-to-disturbance ratios. In this paper, we propose a formulation for the design of a filterbank which is based on the definition of the signal-to-disturbance ratio. The algorithm iteratively optimises the coefficients of the prototype filters of the analysis and synthesis filter-banks using iteratively adapted weighting factors. We show that all iteration steps represent quadratic constrained optimization problems, and propose an efficient implementation. A numerical example shows that the signal-to-disturbance ratio of the output-signal is highly improved compared to that of standard designs.
机译:本文讨论了具有广泛子带信号放大的过采样,复杂调制子带编码器滤波器组对的输出信号的信噪比的改进。不需要的非线性干扰是由滤波器组对中的采样率转换引起的,并且很难根据信号放大来预测。在大多数当前的设计方法中尚未考虑到这一点,这导致了高原型滤波器长度,从而获得了所需的信噪比。在本文中,我们提出了一种基于信噪比定义的滤波器组设计公式。该算法使用迭代适配的加权因子来迭代优化分析和合成滤波器组的原型滤波器的系数。我们证明所有迭代步骤都代表二次约束优化问题,并提出了一种有效的实现方法。数值示例表明,与标准设计相比,输出信号的信噪比得到了极大的改善。

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