Conjointly Space and 2D Frequency Localized Filterbanks

P. Tay, Yanjun Yan
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Abstract

This paper proposes a conjointly space-frequency well localized separable 2D filters. The separable 2D filterbanks constitute a perfect or near perfect reconstruction system. The novel space-frequency localization measure to determine optimality is the product of a filter’s 2D variance in space and 2D frequency variance. The particle swarm optimization method is efficiently applied to determine perfect or near perfect reconstruction optimal 2D filterbanks.
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联合空间和二维频率局域滤波器组
提出了一种联合空频良定域二维可分离滤波器。可分离的二维滤波器组构成了一个完美或接近完美的重构系统。确定最优性的新型空频定位措施是滤波器在空间上的二维方差和二维频率方差的乘积。将粒子群优化方法有效地应用于确定完美或接近完美重建的最优二维滤波器组。
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