Multidimensional ICA and its performance analysis applied to CMB observations

Dana Lahat*, Jean François Cardoso, Maude Le Jeune, Hagit Messer

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

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.

Original languageEnglish
Title of host publication2011 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2011 - Proceedings
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages3724-3727
Number of pages4
ISBN (Print)9781457705397
DOIs
StatePublished - 2011

Publication series

NameICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
ISSN (Print)1520-6149

Keywords

  • Correlated Sources
  • Cosmological Observations
  • Joint Block Diagonalization
  • Multidimensional ICA
  • Subspace Analysis

Fingerprint

Dive into the research topics of 'Multidimensional ICA and its performance analysis applied to CMB observations'. Together they form a unique fingerprint.

Cite this