Publication
Title
A hybrid Fourier-Prony method
Author
Abstract
The FFT algorithm that implements the discrete Fourier transform is considered one of the top ten algorithms of the 20th century. Its main strengths are the low computational cost of O(nlogn) and its stability. It is one of the most commonly used algorithms to analyze signals with a dense frequency representation. In recent years there has been an increasing interest in sparse signal representations and a need for algorithms that exploit such structure. We propose a new technique that combines the properties of the discrete Fourier transform with the sparsity of the signal. This is achieved by integrating ideas of Prony's method into Fourier's method. The resulting technique has the same frequency resolution as the original FFT algorithm but uses fewer samples and can achieve a lower computational cost. Moreover, the proposed algorithm is well suited for a parallel implementation.
Language
English
Source (journal)
Arxiv
Publication
2018
Volume/pages
13 p.
Full text (open access)
UAntwerpen
Faculty/Department
Research group
Publication type
Subject
Affiliation
Publications with a UAntwerp address
External links
Source file
Record
Identification
Creation 15.11.2018
Last edited 15.07.2021
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