A two-dimensional non-separable implementation of dyadic-valued cosine-sine modulated filter banks for low computational complexity
A two-dimensional non-separable implementation of dyadic-valued cosine-sine modulated filter banks for low computational complexity
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DOI：
10.1109/apsipa.2013.6694235
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发表时间：
2013-10
期刊：
影响因子：
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通讯作者：
Seisuke Kyochi;Taizo Suzuki;Yuichi Tanaka
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文献类型：
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作者：
Seisuke Kyochi;Taizo Suzuki;Yuichi Tanaka
本文旨在设计一种新的二维（2D）不可分离的二值余弦-正弦调制滤波器组（2D D-CSMFBs），以降低计算复杂度。csmfb具有丰富的方向选择性（DS）和移位不变性（SI），并且可以通过调制原型滤波器轻松设计。此外，我们之前的工作介绍了一维（1D） D-CSMFBs （1D D-CSMFBs）。通过将实值滤波系数限制为有理值滤波系数，可以在保持DS和SI的同时节省计算成本。本文提出的二维实现将传统的二维可分结构直接统一为二维不可分结构，进一步降低了计算成本。此外，图像非线性逼近的实验结果表明，所提出的二维d - csmfb与一维d - csmfb相当甚至更好。
This paper aims to design a new two-dimensional (2D) non-separable implementation of dyadic-valued cosine-sine modulated filter banks (2D D-CSMFBs) for low computational complexity. CSMFBs satisfy rich directional selectivity (DS) and shift-invariance (SI), and they can be easily designed by the modulation of a prototype filter. In addition, our previous work introduced a one-dimensional (1D) D-CSMFBs (1D D-CSMFBs). By restricting real-valued filter coefficients to rational-valued ones, they can save computational cost while keeping DS and SI. The proposed 2D implementation in this paper can further reduce the computational cost by unifying the conventional 2D separable structure into a 2D non-separable one directly. Furthermore, experimental results of image non-linear approximation show that the proposed 2D D-CSMFBs are comparable or even better than the 1D D-CSMFBs.