TY - GEN
T1 - Multidimensional ICA and its performance analysis applied to CMB observations
AU - Lahat, Dana
AU - Cardoso, Jean François
AU - Le Jeune, Maude
AU - Messer, Hagit
N1 - Copyright:
Copyright 2018 Elsevier B.V., All rights reserved.
PY - 2011
Y1 - 2011
N2 - This paper deals with multidimensional ICA and its performance analysis, applied to cosmological observations. Our purpose is the separation of the cosmic microwave background radiation from the Galactic emission, in a noise-free setup, using a model of correlated sources. Since the Galactic emission does not obey this model, we propose a method to select the effective model order. As there are more detectors than signal-space dimensions, a dimension reduction scheme is derived. Our simulations show a good match between the closed-form analytical expression for the error and its empirical counterpart. This analytical expression is compact and involves inversions only of small matrices. Therefore, it can serve as a reliable predictor of the separation error without resorting to exhaustive Monte-Carlo trials.
AB - This paper deals with multidimensional ICA and its performance analysis, applied to cosmological observations. Our purpose is the separation of the cosmic microwave background radiation from the Galactic emission, in a noise-free setup, using a model of correlated sources. Since the Galactic emission does not obey this model, we propose a method to select the effective model order. As there are more detectors than signal-space dimensions, a dimension reduction scheme is derived. Our simulations show a good match between the closed-form analytical expression for the error and its empirical counterpart. This analytical expression is compact and involves inversions only of small matrices. Therefore, it can serve as a reliable predictor of the separation error without resorting to exhaustive Monte-Carlo trials.
KW - Correlated Sources
KW - Cosmological Observations
KW - Joint Block Diagonalization
KW - Multidimensional ICA
KW - Subspace Analysis
UR - http://www.scopus.com/inward/record.url?scp=80051635007&partnerID=8YFLogxK
U2 - 10.1109/ICASSP.2011.5947160
DO - 10.1109/ICASSP.2011.5947160
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AN - SCOPUS:80051635007
SN - 9781457705397
T3 - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
SP - 3724
EP - 3727
BT - 2011 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2011 - Proceedings
PB - Institute of Electrical and Electronics Engineers Inc.
ER -