Extending narrowband descriptions and optimal solutions to broadband sensor arrays

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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
Original languageEnglish
Number of pages10
Publication statusPublished - 29 Jul 2018
Event8th International Joint Conference on Pervasive and Embedded Computing and Communication Systems - Porto , Portugal
Duration: 29 Jul 201830 Jul 2018
http://www.peccs.org/

Conference

Conference8th International Joint Conference on Pervasive and Embedded Computing and Communication Systems
Abbreviated titlePECCS 2018
CountryPortugal
CityPorto
Period29/07/1830/07/18
Internet address

Keywords

  • array processing
  • polynomial matrices
  • matrix factorisations

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    Weiss, S. (2018). Extending narrowband descriptions and optimal solutions to broadband sensor arrays. Paper presented at 8th International Joint Conference on Pervasive and Embedded Computing and Communication Systems, Porto , Portugal.