全相位双正交五株形滤波器组的设计与应用

提出了一种设计全相位双正交五株形滤波器组的一般方法.在保证线性相位和完全重建前提下,基于一维IDCT域全相位半带数字滤波器,利用新的全相位钻石形变换核函数和改进的准正交镜像滤波器(QMF)模型,设计了一类新的两通道五株形滤波器组(QFB),称为全相位双正交五株形滤波器组(apbQFB).然后利用apbQFB生成一种新的全相位Contourlet(apContourlet)变换,并详细研究了其在非线性估计和图像降噪方面的应用.数值实验结果表明,apContourlet的非线性估计和图像降噪性能均优于原Contourlet,可见apbQFB方法具有一定的通用性和优越性.

Design and Application of All Phase Biorthogonal Quincunx Filter Banks

A general method for designing all phase biorthogonal quincunx filter banks(apbQFB) was presented in the paper.To ensure linear phase and perfect reconstruction,based on 1-D IDCT domain all phase half-band digital filter,using a new all phase diamond transformation kernel function and the improved quasi-QMF model,a new class of two-channel quincunx filter bank(QFB),namely all phase biorthogonal quincunx filter banks,was de-signed.Then a new all phase Contourlet(apContourlet) transform was derived using the apbQFB and its applications in nonlinear approximation and image denoising were studied in detail.Numerical experiments show that the perform-ance of nonlinear approximation and image denoising of apContourlet both outperform the original Contourlet,thus the apbQFB method possesses some degree of universality and superiority.