Title :
Angular decompositions for the discrete fractional signal transforms
Author_Institution :
Dept. of Electron. Eng., Nat. I-LAN Inst. of Technol., Taiwan
Abstract :
In this paper, a generalized angular decomposition algorithm for the discrete fractional signal transforms is proposed. By the angular decomposition algorithm, the discrete fractional signal transforms can be computed by a weighted summation of the transform evaluated at special angles. Also the weighting coefficients are just equal to the inverse discrete Fourier transform of the eigenvalues of the fractional signal transform kernels.
Keywords :
discrete Fourier transforms; eigenvalues and eigenfunctions; signal processing; discrete fractional signal transforms; eigenvalues; fractional signal transform kernels; generalized angular decomposition algorithm; inverse DFT; inverse discrete Fourier transform; transform weighted summation; weighting coefficients; Discrete Fourier transforms; Discrete cosine transforms; Discrete transforms; Eigenvalues and eigenfunctions; Fourier transforms; Karhunen-Loeve transforms; Kernel; Signal detection; Time frequency analysis;
Conference_Titel :
Circuits and Systems, 2003. ISCAS '03. Proceedings of the 2003 International Symposium on
Print_ISBN :
0-7803-7761-3
DOI :
10.1109/ISCAS.2003.1205781
