Hermite-Gaussian-like eigenvectors of the discrete Fourier transform matrix based on the direct utilization of the orthogonal projection matrices on its eigenspaces

被引：33
|
作者：
Hanna, Magdy Tawfik [1 ]
Seif, Nabila Philip Attalla
Ahmed, Waleed Abd El Maguid
机构：
[1] Fayoum Univ, Dept Engn Math & Phys, Al Fayyum 63514, Egypt
[2] Cairo Univ, Fac Engn, Dept Engn Math & Phys, Giza 12613, Egypt
来源：
IEEE TRANSACTIONS ON SIGNAL PROCESSING | 2006年 / 54卷 / 07期
关键词：
discrete fractional Fourier transform; Gram-Schmidt algorithm (GSA); Hermite-Gaussian-like orthonormal eigenvectors; orthogonal procrustes algorithm (OPA); projection matrices; sequential orthogonal procrustes algorithm (SOPA);
D O I：
10.1109/TSP.2006.873497
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
A new version is proposed for the Gram-Schmidt algorithm (GSA), the orthogonal procrustes algorithm (OPA) and the sequential orthogonal procrustes algorithm (SOPA) for generating Hermite-Gaussian-like orthonormal eigenvectors for the discrete Fourier transform matrix F. This version is based on the direct utilization of the orthogonal projection matrices on the eigenspaces of matrix F rather than the singular value decomposition of those matrices for the purpose of generating initial orthonormal eigenvectors. The proposed version of the algorithms has the merit of achieving a significant reduction in the computation time.
引用
收藏
页码：2815 / 2819
页数：5
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