Extending Narrowband Descriptions and Optimal Solutions to Broadband Sensor Arrays

Stephan Weiss

2018

Abstract

This overview paper motivates the description of broadband sensor array problems by polynomial matrices, directly extending notation that is familiar from the characterisation of narrowband problems. To admit optimal solutions, the approach relies on extending the utility of the eigen- and singular value decompositions, by finding decompositions of such polynomial matrices. Particularly the factorisation of parahermitian polynomial matrices -- including space-time covariance matrices that model the second order statistics of broadband sensor array data -- is important. The paper summarises recent findings on the existence and uniqueness of the eigenvalue decomposition of such parahermitian polynomial matrices, demonstrates some algorithms that implement such factorisations, and highlights key applications where such techniques can provide advantages over state-of-the-art solutions.

Paper Citation

in Harvard Style

Weiss S. (2018). Extending Narrowband Descriptions and Optimal Solutions to Broadband Sensor Arrays.In Proceedings of the 8th International Joint Conference on Pervasive and Embedded Computing and Communication Systems - Volume 1: PECCS, ISBN 978-989-758-322-3, pages 5-14. DOI: 10.5220/0007239500000000

in Bibtex Style

@conference{peccs18,
author={Stephan Weiss},
title={Extending Narrowband Descriptions and Optimal Solutions to Broadband Sensor Arrays},
booktitle={Proceedings of the 8th International Joint Conference on Pervasive and Embedded Computing and Communication Systems - Volume 1: PECCS,},
year={2018},
pages={5-14},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0007239500000000},
isbn={978-989-758-322-3},
}

in EndNote Style

TY - CONF

JO - Proceedings of the 8th International Joint Conference on Pervasive and Embedded Computing and Communication Systems - Volume 1: PECCS,
TI - Extending Narrowband Descriptions and Optimal Solutions to Broadband Sensor Arrays
SN - 978-989-758-322-3
AU - Weiss S.
PY - 2018
SP - 5
EP - 14
DO - 10.5220/0007239500000000