AN OPTIMUM COMPLETE ORTHONORMAL BASIS FOR SIGNAL ANALYSIS AND DESIGN

被引:6
作者
JIN, Q [1 ]
LUO, ZQ [1 ]
WONG, KM [1 ]
机构
[1] MCMASTER UNIV, DEPT ELECT & COMP ENGN, HAMILTON L8S 4L7, ONTARIO, CANADA
关键词
OPTIMUM BASIS; SIGNAL DESIGN AND ANALYSIS; TIME-LIMITED AND BAND-LIMITED FUNCTION;
D O I
10.1109/18.335885
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
We derive a new set of basis functions which have high energy concentration in both time and frequency. Our approach is based on transforming a signal energy maximization problem into an equivalent eigenvalue problem for a certain integral operator, and then showing that the eigenvectors of this integral operator form a complete orthonormal basis. This basis set is in some sense optimal since each basis function has the highest energy concentration within a certain subspace of L2. Furthermore, this basis can be employed to analyze and design communication signals for which the energy concentration within the essential duration and essential bandwidth is important and some other optimum characteristics would also be required.
引用
收藏
页码:732 / 742
页数:11
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