Derivation of extended Gaussian functions based on the Zak transform

@article{Siohan2004DerivationOE,
  title={Derivation of extended Gaussian functions based on the Zak transform},
  author={Pierre Siohan and Christian Roche},
  journal={IEEE Signal Processing Letters},
  year={2004},
  volume={11},
  pages={401-403}
}
Siohan and Roche introduced recently a new family of modulated filter banks, which was derived from a set of continuous-time orthogonal functions named extended Gaussian functions (EGFs). At first, these EGFs were obtained using the isotropic orthogonal transform algorithm (IOTA), i.e., a two-step orthogonalization procedure of the Gaussian function. As shown recently, using the Zak transform, the IOTA method yields the tight window function canonically associated with the Gaussian. In this… CONTINUE READING

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