Frame Bound Computation of Two-dimensional Filter Bank Frames

被引：0

作者：

Pan, Yu ^{[1
]}

Chai, Li ^{[1
]}

Sheng, Yuxia ^{[1
]}

机构：

[1] Wuhan Univ Sci & Technol, Sch Informat Sci & Engn, Wuhan 430081, Peoples R China

来源：

2013 10TH IEEE INTERNATIONAL CONFERENCE ON CONTROL AND AUTOMATION (ICCA) | 2013年

关键词：

BASES;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The upper (lower) bound of a frame is an important index in the analysis and design of filter bank frames. There is lack of effectively numerical methods to compute the frame bounds for two-dimensional (2-D) filter banks (FBs). This paper investigates the computation problem of frame bounds and provides a frequency-independent solution. Firstly, the state space realization of 2-D FIR discrete FBs is given in the form of Roesser model. Then an LMI based optimization method is presented by using the generalized Kalman-Yakubovich-Popov (KYP) lemma. Finally, various examples are given on wavelet and Laplacian pyramid frames to demonstrate the effectiveness of the proposed method for 2-D frames.

引用

页码：967 / 971

页数：5