# Steerable Discrete Fourier Transform

## TL;DR

This paper introduces the steerable DFT, a generalized discrete Fourier transform that enhances directional signal analysis and compression, and relates closely to Fourier sine, cosine, and Hilbert transforms.

## Contribution

The paper proposes the steerable DFT, expanding the classical DFT to better handle directional information and connecting it to existing transforms.

## Key findings

- Steerable DFT generalizes the classical DFT.
- SDFT is related to Fourier sine, cosine, and Hilbert transforms.
- Potential applications in signal compression and analysis.

## 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.