Critically sampled Discrete Wavelet Transforms with rational dilation factor of 3/2

摘要：

An approach for designing a critically sampled FIR rational rate filter bank satisfying conditions such as perfect reconstruction, regularity orders and good frequency selectivity is proposed. This approach is used to design a rational discrete wavelet transform with dilation factor of 3/2 and satisfies a shift invariant property approximately. The rational filter bank design problem is transformed to an equivalent uniform M-channel filter bank design. The perfect reconstruction (PR) condition gives rise to a set of non-linear conditions between the synthesis and analysis filter coefficients while regularity gives rise to a set of linear constraints. The design problem is solved using a constrained nonlinear optimisation program in which the PR and regularity are the constraints to an objective function defined as sum of the squared of the difference between the magnitude responses of the designed analysis/synthesis filters and the ideal brick-wall responses. The optimisation program used for the design is a simple linear-search built-in program in Matlab. The obtained filter bank designs show excellent frequency selectivity and their iterations are approximately shift invariant.

关键词： Rational discrete wavelet regularity critically sampled rational filter banks

作者: Si T.Nguyen Brian W.-H.Ng

作者单位: School of Electrical and Electronic Engineering, University of Adelaide, S.A.5005, Australia

会议类型: 国际会议

会议名称: 2010 IEEE 10th International Conference on Signal Processing(第十届信号处理国际会议 ICSP 2010)

会议地点: 北京

会议语种:英文

页码: 199-202

在线出版日期: 2010-08-24（万方平台首次上网日期，不代表论文的发表时间）