ifi-complex-interval-arithmetic

An object-oriented package for complex interval arithmetic. Allows the definition of complex intervals, also arithmetic and set operations.

Complex Interval Arithmetic Toolbox

An object-oriented MATLAB package for complex interval arithmetic.

Getting started:

1. Clone this repository
2. Include the root folder in the MATLAB path
3. Run the example scipt
4. See how it is applied to ultrasound beamforming at https://github.com/unioslo-mn/ifi-beampattern-interval-analysis

How to use the code:

1. All classes have a detailed MATLAB help describing the usage

2. Look in the examples to see how it is used

3. Read the relevant publications to understand the underlying theory

4. Contact us with any questions ([e-mail], [e-mail])

5. Cite us (please) if you procude results using the code (see CITATION.cff)

6. Feel free to develop the code further in a private or public manner (see LICENSE.md)

References

1. J. E. Kirkebø and A. Austeng, “Amplitude tolerance analysis of curved sonar arrays,” in OCEANS 2021, Sep. 2021. doi: 10.23919/OCEANS44145.2021.9705923.
2. H. K. Arnestad, G. Geréb, T. I. B. Lønmo, J. E. Kirkebø, A. Austeng, and S. P. Näsholm, “Sonar array beampattern bounds and an interval arithmetic toolbox,” Proc. Mtgs. Acoust., vol. 47, 2022, doi: 10.1121/2.0001613.
3. G. Geréb and H. Kjellmo Arnestad, “Interval computations in acoustics,” in Conference: 46th Scandinavian Symposium on Physical Acoustics, Geilo, 2023.
4. H. K. Arnestad, G. Geréb, T. I. B. Lønmo, J. E. Kirkebø, A. Austeng, and S. P. Näsholm, “Worst-case analysis of array beampatterns using interval arithmetic,” The Journal of the Acoustical Society of America, 2023.
5. H. K. Arnestad, G. Geréb, T. I. B. Lønmo, and J. E. Kirkebø, “Beampattern bounds for block errors in sonar arrays using interval arithmetic,” presented at the IEEE OCEANS 2032, Limerick, 2023.