Abstract
Generalized sampling is a numerically stable framework for obtaining reconstructions of signals in different bases and frames from their samples. For example, one can use wavelet bases for reconstruction given frequency measurements.
In this paper, we will introduce a carefully documented toolbox for performing generalized sampling in Julia. Julia is a new language for technical computing with focus on performance, which is ideally suited to handle the large size problems often encountered in generalized sampling. The toolbox provides specialized solutions for the setup of Fourier bases and wavelets.
The performance of the toolbox is compared to existing implementations of generalized sampling in MATLAB.
In this paper, we will introduce a carefully documented toolbox for performing generalized sampling in Julia. Julia is a new language for technical computing with focus on performance, which is ideally suited to handle the large size problems often encountered in generalized sampling. The toolbox provides specialized solutions for the setup of Fourier bases and wavelets.
The performance of the toolbox is compared to existing implementations of generalized sampling in MATLAB.
| Original language | English |
|---|---|
| Journal | Journal of Open Research Software |
| Volume | 5 |
| Issue number | 1 |
| Number of pages | 5 |
| ISSN | 2049-9647 |
| DOIs | |
| Publication status | Published - 2017 |
Keywords
- generalized sampling
- Julia
- Fourier basis
- Wavelets