TY - GEN
T1 - Compressive angular and frequency periodogram reconstruction for multiband signals
AU - Ariananda, Dyonisius Dony
AU - Romero, Daniel
AU - Leus, Geert
PY - 2013
Y1 - 2013
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84894170286&partnerID=8YFLogxK
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U2 - 10.1109/CAMSAP.2013.6714102
DO - 10.1109/CAMSAP.2013.6714102
M3 - Conference contribution
AN - SCOPUS:84894170286
SN - 9781467331463
T3 - 2013 5th IEEE International Workshop on Computational Advances in Multi-Sensor Adaptive Processing, CAMSAP 2013
SP - 440
EP - 443
BT - 2013 5th IEEE International Workshop on Computational Advances in Multi-Sensor Adaptive Processing, CAMSAP 2013
T2 - 2013 5th IEEE International Workshop on Computational Advances in Multi-Sensor Adaptive Processing, CAMSAP 2013
Y2 - 15 December 2013 through 18 December 2013
ER -