New Parametric Discrete Fourier and Hartley Transforms, and Algorithms for Fast Computation

@article{Bouguezel2011NewPD,
  title={New Parametric Discrete Fourier and Hartley Transforms, and Algorithms for Fast Computation},
  author={Saad Bouguezel and M. Omair Ahmad and M. N. Shanmukha Swamy},
  journal={IEEE Transactions on Circuits and Systems I: Regular Papers},
  year={2011},
  volume={58},
  pages={562-575}
}
In this paper, we propose a new reciprocal-orthogonal parametric discrete Fourier transform (DFT) by appropriately replacing some specific twiddle factors in the kernel of the classical DFT by independent parameters that can be chosen arbitrarily from the complex plane. A new class of parametric unitary transforms can be obtained from the proposed transform by choosing all its independent parameters from the unit circle. One of the special cases of this class is then exploited for developing a… CONTINUE READING
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