Design of Perfect-Reconstruction Hybrid Filter Banks: A Second-Order Cone Programming Approach
In this paper, we present a new convex programming design methodology for hybrid filter banks (HFB) by solving a linear equation system derived from the perfect reconstruction (PR) conditions. The relationship between the PR conditions and each different solution situations are discussed regarding the consistent and inconsistent equation case, the general solution and the lower bound to the error of reconstruction are given. A second order cone programming (SOCP) based algorithms for designing PR HFB is proposed to get the exact solution with the constrained of stopband energy minimum which can also be used to calculate the minimizing norm solution of the equation. Finally, we consider some design examples and evaluate their performance.
convex programming hybrid filter banks second order cone programming
ZhenHao Cai HongYi Yu
Institute of Zhengzhou Information Science and Technology Zhengzhou 450002, P.R.China
国际会议
厦门
英文
192-195
2010-10-29（万方平台首次上网日期，不代表论文的发表时间）