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A NOVEL DESIGN OF BIORTHOGONAL GRAPH WAVELET FILTER BANKS

机译:双正交图小波滤波器组的新颖设计

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This paper proposes a novel method for designing compactly supported biorthogonal graph wavelet filter banks with flat spectral responses. We firstly construct a class of biorthogonal graph filter banks by using the polynomial half-band kernels, and then present a design method for the polynomial half-band kernel. The proposed design method utilizes the PBP (Parametric Bernstein Polynomial), which ensures that the half-band kernel has the specified zeros at λ = 2, that is, the flatness constraints both in passband and stopband. Therefore, the resulting graph filters have the flat spectral responses. Furthermore, we apply the Remez exchange algorithm to minimize the spectral error by using the remaining degree of freedom. Finally, two design examples are given to demonstrate the effectiveness of the design method proposed in this paper.
机译:本文提出了一种设计具有平坦光谱响应的紧凑支持的双正态图小波滤波器的新方法。我们首先使用多项式半频段内核来构造一类双正式图滤波器库,然后呈现多项式半频段内核的设计方法。所提出的设计方法利用PBP(参数伯恩斯坦多项式),其确保半频段内核在λ= 2处具有指定的零,即通带和阻带中的平坦度约束。因此,所得到的图形滤波器具有平坦的光谱响应。此外,我们应用REMEZ Exchange算法通过使用剩余的自由度来最小化光谱误差。最后,给出了两个设计示例来证明本文提出的设计方法的有效性。

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