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Arbitrary tilings of the time-frequency plane using local bases

机译:使用局部基准的时频平面的任意平铺

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We show how to design filters given a prescribed tiling of the time-frequency plane. Moreover, we impose on these filters the structure of local orthogonal bases. These bases were recently constructed as a generalization of the cosine-modulated filter banks in discrete time and local trigonometric bases in continuous time. They have been found to be of considerable practical importance due to their simplicity (all filters are obtained from a single prototype) and low computational complexity. We show examples of design, in particular, that of a critical-band system for use in audio coding.
机译:我们展示了如何在给定的时频平面切片的情况下设计滤波器。此外,我们在这些滤波器上强加了局部正交基的结构。这些基数最近被构造为离散时间的余弦调制滤波器组和连续时间的局部三角基数的推广。由于它们的简单性(所有滤波器都是从单个原型获得的)和较低的计算复杂度,它们被发现具有相当大的实际重要性。我们展示了设计示例,尤其是用于音频编码的关键频带系统的设计示例。

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