| Autor: |
Hanna, Magdy Tawfik, Seif, Nabila Philip Attalla, Ahmed, Waleed Abd El Maguid |
| Předmět: |
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| Zdroj: |
IEEE Transactions on Signal Processing; Jul2006, Vol. 54 Issue 7, p2815-2819, 6p, 1 Chart |
| Abstrakt: |
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. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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