Open AccessFractional angular transform: a number‐theoretic approach
Author(s) -
Figueiredo R.B.D.,
Lima J.B.
Publication year - 2019
Publication title -
electronics letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.375
H-Index - 146
ISSN - 1350-911X
DOI - 10.1049/el.2018.6855
Subject(s) - mathematics , fractional fourier transform , integer (computer science) , discrete fourier transform (general) , cryptography , computation , finite field , discrete hartley transform , algebraic number , algebraic number theory , algorithm , discrete mathematics , arithmetic , algebra over a field , computer science , fourier transform , pure mathematics , mathematical analysis , fourier analysis , programming language
In this Letter, the authors introduce a fractional angular number transform (FrANT). The new transform corresponds to a finite field version of the complex‐valued discrete fractional angular transform and, therefore, its computation requires integer arithmetic only. Differently from other number‐theoretic transforms, the possible lengths of an FrANT do not depend on the algebraic structure where it is defined. This provides more flexibility regarding the application of the transform in communications, cryptography and error correcting codes, for instance.