Design of two-dimensional large-scale DFT-modulated filter bank

作者: Jun‐Zheng Jiang , Fang Zhou , Shan Ouyang

DOI: 10.1049/IET-SPR.2012.0327

关键词: Adaptive filterNetwork synthesis filtersComposite image filterFilter designMathematicsFilter bankAlgorithmGradient methodPrototype filterConjugate gradient methodControl theory

摘要: This study presents a novel property of the two-dimensional DFT-modulated filter bank and an efficient algorithm for designing with large scale (with number subbands filters spatial support). It is firstly shown that overall transfer function aliasing functions can be simply represented multiplication prototype their modulated filters; new used to remarkably reduce calculation these functions. On other hand, design problem formulated into unconstrained optimisation problem. Based on gradient vector, conjugate method utilised solve The convergence proposed analysed. Numerical examples comparisons methods are included show performance algorithm.

参考文章(11)
J.-Z. Jiang, P.-L. Shui, Z.-J. Zhang, Design of oversampled DFT-modulated filter banks via modified Newton's method Iet Signal Processing. ,vol. 5, pp. 271- 280 ,(2011) , 10.1049/IET-SPR.2009.0198
Jun-Zheng Jiang, Peng-Lang Shui, Design of 2D oversampled linear phase DFT modulated filter banks via modified Newton's method Signal Processing. ,vol. 92, pp. 1411- 1421 ,(2012) , 10.1016/J.SIGPRO.2011.11.029
P.-L. Shui, Image denoising using 2-D separable oversampled DFT modulated filter banks Iet Image Processing. ,vol. 3, pp. 163- 173 ,(2009) , 10.1049/IET-IPR.2007.0218
Yuan-Pei Lin, P. P. Vaidyanathan, Theory and design of two-dimensional filter banks: a review Multidimensional Systems and Signal Processing. ,vol. 7, pp. 263- 330 ,(1996) , 10.1007/BF01826246
Jun-Zheng Jiang, Peng-Lang Shui, Design of 2D linear phase DFT modulated filter banks using bi-iterative second-order cone program Signal Processing. ,vol. 90, pp. 3065- 3077 ,(2010) , 10.1016/J.SIGPRO.2010.05.011
Hoang Duong Tuan, Tran Thai Son, Ba-Ngu Vo, T.Q. Nguyen, Efficient Large-Scale Filter/Filterbank Design via LMI Characterization of Trigonometric Curves IEEE Transactions on Signal Processing. ,vol. 55, pp. 4393- 4404 ,(2007) , 10.1109/TSP.2007.896285
Hua Yan, M. Ikehara, Two-dimensional perfect reconstruction FIR filter banks with triangular supports IEEE Transactions on Signal Processing. ,vol. 47, pp. 1003- 1009 ,(1999) , 10.1109/78.752598
Liming Feng, Vadim Linetsky, Pricing Options in Jump-Diffusion Models: An Extrapolation Approach Operations Research. ,vol. 56, pp. 304- 325 ,(2008) , 10.1287/OPRE.1070.0419
Yuan-Pei Lin, P.P. Vaidyanathan, Theory and design of two-parallelogram filter banks IEEE Transactions on Signal Processing. ,vol. 44, pp. 2688- 2706 ,(1996) , 10.1109/78.542176
P.G. Patwardhan, V.M. Gadre, Design of near-perfect reconstruction two-parallelogram filter-banks IEEE Signal Processing Letters. ,vol. 13, pp. 489- 492 ,(2006) , 10.1109/LSP.2006.874392