西安电子科技大学学报（自然科学版）2018，Vol.45Issue(2)：166-170,5.DOI:10.3969/j.issn.1001-2400.2018.02.028
两通道正交图滤波器组设计新算法
New method for designing the two-channel orthogonal graph filter bank
摘要
Abstract
An iterative algorithm based on second-order approximation of Taylor's series is proposed to overcome the problem that the two channel orthogonal graph filter bank possesses poor frequency characteristic.First, the design problem is formulated into a constrained optimization problem, whose objective function is the reconstruction error of the two channel orthogonal graph filter bank, and the constraint function is the stopband attenuation.Then,by means of the Taylor approximation, the highly nonlinear nonconvex objective function is approximately transformed into a convex quadratic function with respect to increments.Thus,the nonconvex optimization problem is approximated to a convex optimization problem.Finally,an iterative technique is used to solve the optimization problem.Simulation results show that the reconstruction error of the two channel orthogonal graph filter bank obtained by the new method is approximately one order of magnitude lower than that by the Bernstein polynomial approximation algorithm and that the improvement on the reconstruction error is about 8 dB.关键词
两通道图滤波器组/正交/迭代算法/重构误差Key words
two-channel graph filter bank/orthogonality/iterative technique/reconstruction error分类
信息技术与安全科学引用本文复制引用
蒋俊正,曹想,欧阳缮..两通道正交图滤波器组设计新算法[J].西安电子科技大学学报（自然科学版）,2018,45(2):166-170,5.基金项目
国家自然科学基金资助项目(61261032,61371186,61761011) （61261032,61371186,61761011）
广西自然科学基金资助项目(2013GXNSFBA019264) （2013GXNSFBA019264）
桂林电子科技大学研究生教育创新计划资助项目(2017YJCX21) （2017YJCX21）
