TY - JFULL AU - Sukrit Shankar and Pardha Saradhi K. and Chetana Shanta Patsa and Jaydev Sharma PY - 2008/8/ TI - An Efficient Hamiltonian for Discrete Fractional Fourier Transform T2 - International Journal of Electronics and Communication Engineering SP - 1416 EP - 1422 VL - 2 SN - 1307-6892 UR - https://publications.waset.org/pdf/10293 PU - World Academy of Science, Engineering and Technology NX - Open Science Index 19, 2008 N2 - Fractional Fourier Transform, which is a generalization of the classical Fourier Transform, is a powerful tool for the analysis of transient signals. The discrete Fractional Fourier Transform Hamiltonians have been proposed in the past with varying degrees of correlation between their eigenvectors and Hermite Gaussian functions. In this paper, we propose a new Hamiltonian for the discrete Fractional Fourier Transform and show that the eigenvectors of the proposed matrix has a higher degree of correlation with the Hermite Gaussian functions. Also, the proposed matrix is shown to give better Fractional Fourier responses with various transform orders for different signals. ER -