Title :
Method of singular vectors for estimating parameters of sum of complex exponentials
Author :
Andreev, M.V. ; Borulko, V.F.
Author_Institution :
Dept. of Appl. & Comput. Radiophys., Dnepropetrovsk Nat. Univ., Dnepropetrovsk, Ukraine
Abstract :
The method of determining parameters of sum of complex exponentials on the basis of singular value decomposition of data matrix has been developed. Relationship of rows of signal matrix of singular vectors with parameters of complex exponentials has been demonstrated and the problem of their determination has been reduced to eigenvalue problem. The accuracy characteristics of the suggested method have been analyzed and their comparison with analogous characteristics of other methods of such class has been presented.
Keywords :
eigenvalues and eigenfunctions; electromagnetism; parameter estimation; singular value decomposition; vectors; complex exponentials; data matrix; eigenvalue problem; parameter estimation; signal matrix; singular value decomposition; singular vectors; Accuracy; Electromagnetics; Least squares approximation; Matrix decomposition; Noise level; Signal to noise ratio; Vectors;
Conference_Titel :
Mathematical Methods in Electromagnetic Theory (MMET), 2012 International Conference on
Conference_Location :
Kyiv
Print_ISBN :
978-1-4673-4478-4
DOI :
10.1109/MMET.2012.6331172
