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Inverse of Fermat Number Transform Using the Sliding Technique

Hamzé Alaeddine 1 El Houssaïn Baghious 1 Gilles Burel 1, *
* Corresponding author
1 Lab-STICC_UBO_CACS_COM
Lab-STICC - Laboratoire des sciences et techniques de l'information, de la communication et de la connaissance, UBO - Université de Brest
Abstract : This paper is about a new efficient method for the implementation of convolvers and correlators using the Fermat Number Transform (FNT) and the inverse (IFNT). The latter present advantages compared to Inverse Fast Fourier Transform (IFFT). An efficient state space method for implementing the Inverse FNT (IFNT) over rectangular windows is proposed for the cases where there is a large overlap between the consecutive input signals. This is called Inverse Generalized Sliding Fermat Number Transform (IGSFNT) and is useful for reducing the computational complexity of finite ring convolvers and correlators. This algorithm uses the technique of Generalized Sliding associated to matricial calculation in the Galois Field. The computational complexity of this method is compared with that of standard IFNT.
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https://hal.univ-brest.fr/hal-00665963
Contributor : Gilles Burel <>
Submitted on : Friday, February 3, 2012 - 12:01:25 PM
Last modification on : Wednesday, June 24, 2020 - 4:19:23 PM

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Hamzé Alaeddine, El Houssaïn Baghious, Gilles Burel. Inverse of Fermat Number Transform Using the Sliding Technique. IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, Institute of Electronics, Information and Communication Engineers, 2011, E94-A (8), pp.1656-1661. ⟨10.1587/transfun.E94.A.1656⟩. ⟨hal-00665963⟩

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