Discrete Fractional Hartley and Fourier Transforms

  title={Discrete Fractional Hartley and Fourier Transforms},
  author={Soo-Chang Pei and Chien-Cheng Tseng and Min-Hung Yeh and Jong-Jy Shyu},
This paper is concerned with the definitions of the discrete fractional Hartley transform (DFRHT) and the discrete fractional Fourier transform (DFRFT). First, the eigenvalues and eigenvectors of the discrete Fourier and Hartley transform matrices are investigated. Then, the results of the eigendecompositions of the transform matrices are used to define DFRHT and DFRFT. Also, an important relationship between DFRHT and DFRFT is described, and numerical examples are illustrated to demonstrate… CONTINUE READING
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