Title :
Matching pursuit algorithm for Gaussian beam decomposition
Author :
Arama, Amir ; Boag, Amir ; Heyman, Ehud
Author_Institution :
Sch. of Electr. Eng., Tel Aviv Univ., Israel
Abstract :
In this paper we have presented the MP algorithm as an alternative method for Gaussian beam decomposition. The results of the numerical example indicate that this type of WFT frame expansion produces a substantial improvement in the quality of the reconstructed field in terms of both the number of expansion coefficients and the relative error. However one major drawback of the MP algorithm is its computational complexity. Compared to the dual frame, the MP algorithm always appears to be time consuming.
Keywords :
Fourier transforms; Gaussian distribution; electromagnetic wave propagation; iterative methods; time-frequency analysis; Gaussian beam decomposition; MP algorithm; WFT frame expansion; computational complexity; expansion coefficients; matching pursuit algorithm; reconstructed field; relative error; windowed Fourier transform; Apertures; Collimators; Fourier transforms; Hilbert space; Iterative algorithms; Lagrangian functions; Lattices; Matching pursuit algorithms; Pursuit algorithms; Skeleton;
Conference_Titel :
Antennas and Propagation Society International Symposium, 2005 IEEE
Print_ISBN :
0-7803-8883-6
DOI :
10.1109/APS.2005.1552798
