By Topic

Discrete fractional Fourier transform based on the eigenvectors of Grünbaum tridiagonal matrix

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$31 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

3 Author(s)
Hanna, M.T. ; Dept. of Eng. Math. & Phys., Fayoum Univ., Fayoum ; Attalla Seif, N.P. ; Abd El Maguid Ahmed, M.W.

The development of the discrete fractional Fourier transform (DFRFT) necessitates the availability of a complete set of orthonormal eigenvectors of the DFT matrix F. An eigenanalysis is performed for the original Grunbaum tridiagonal matrix T - which commutes with matrix F - having only one eigenvalue of multiplicity two and simple remaining eigenvalues. The two easily obtainable eigenvectors of T corresponding to its repeated eigenvalue - which are not eigenvectors of F - are exploited for analytically generating two orthonormal eigenvectors common to both T and F.

Published in:

Circuits and Systems, 2008. ISCAS 2008. IEEE International Symposium on

Date of Conference:

18-21 May 2008