Compressive angular and frequency periodogram reconstruction for multiband signals

Dyonisius Dony Ariananda, Daniel Romero, Geert Leus

Research output: Chapter in Book/Report/Conference proceedingConference contribution

5 Scopus citations

Abstract

In this paper, we present a duality between two problems: the reconstruction of the angular periodogram from spatial-domain signals received at different time indices and that of the frequency periodogram from time-domain signals received at different wireless sensors. We assume the existence of a multiband structure in either the angular or frequency domain representation of the received spatial or time-domain signal, respectively, where different bands are assumed to be uncorrelated. The two problems lead to a similar circulant structure in the so-called coset correlation matrix, which allows for a strong compression and a least-squares (LS) reconstruction approach. The LS reconstruction of the periodogram is possible under the full column rank condition of the system matrix, which is achievable by designing the spatial or temporal sampling patterns based on a circular sparse ruler.

Original languageEnglish (US)
Title of host publication2013 5th IEEE International Workshop on Computational Advances in Multi-Sensor Adaptive Processing, CAMSAP 2013
Pages440-443
Number of pages4
DOIs
StatePublished - 2013
Externally publishedYes
Event2013 5th IEEE International Workshop on Computational Advances in Multi-Sensor Adaptive Processing, CAMSAP 2013 - Saint Martin, France
Duration: Dec 15 2013Dec 18 2013

Publication series

Name2013 5th IEEE International Workshop on Computational Advances in Multi-Sensor Adaptive Processing, CAMSAP 2013

Other

Other2013 5th IEEE International Workshop on Computational Advances in Multi-Sensor Adaptive Processing, CAMSAP 2013
Country/TerritoryFrance
CitySaint Martin
Period12/15/1312/18/13

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