电讯技术Issue(11)：1452-1458,7.DOI:10.3969/j.issn.1001-893x.2013.11.010
基于Householder变换的正交PSWF脉冲设计
Design of Orthogonal Pulse for Prolate Spheroidal Wave Function Based on Householder Transformation
摘要
Abstract
In using traditional Schmidt method in the orthogonalization of the Prolate Spheroidal Wave Function ( PSWF) pulses set, the maximum cross-correlation value of the pulses set is under the influence of pulse number, and this method has a high computational complexity. To solve the problems above, an orthogonalization method based on Householder transformation is presented. The QR decomposition is real-ized through discretizing the pulses set and Householder transformation for the discrete pulse, then the new PSWF orthogonalization pulses set is obtained. Simulation results show that comparing with Schmidt meth-od, the orthogonalization method based on Householder transformation makes the max correlation value re-duced from 10-4 to 10-11 and is not restricted to the pulse number, reduces the computational complexity, while maintaining the advantage of high energy concentration.关键词
非正弦波通信/正交脉冲/椭圆球面波函数/Householder变换Key words
nonsinusoidal wave communication/orthogonal pulse/prolate spheroidal wave function ( PSWF)/Householder transformation分类
信息技术与安全科学引用本文复制引用
张榛,王红星,赵志勇,张磊,刘锡国,张晨亮..基于Householder变换的正交PSWF脉冲设计[J].电讯技术,2013,(11):1452-1458,7.基金项目
国家自然科学基金资助项目(60772056) （60772056）
山东省“泰山学者”建设工程项目 （）
海军航空工程学院研究生创新基金项目@@@@The National Natural Science Foundation of China(No.60772056) （No.60772056）
Project Supported by “Taishan Scholar"Special Founda-tion of Shandong Province （）
The Master Innovative Foundation of Naval Aeronautial and Astronautial University （）
