Steerable Discrete Fourier Transform
Information Theory
2017-03-16 v1 math.IT
Abstract
Directional transforms have recently raised a lot of interest thanks to their numerous applications in signal compression and analysis. In this letter, we introduce a generalization of the discrete Fourier transform, called steerable DFT (SDFT). Since the DFT is used in numerous fields, it may be of interest in a wide range of applications. Moreover, we also show that the SDFT is highly related to other well-known transforms, such as the Fourier sine and cosine transforms and the Hilbert transforms.
Cite
@article{arxiv.1703.05022,
title = {Steerable Discrete Fourier Transform},
author = {Giulia Fracastoro and Enrico Magli},
journal= {arXiv preprint arXiv:1703.05022},
year = {2017}
}