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Updated: May 9, 2025

Cross-Modal Multivariate Pattern Analysis
Published on: November 9, 2011
Cross-spectral purity: a generalization of spatiotemporal separability
Abstract:
We study the connection between cross-spectral purity and spatiotemporal separability of nonstationary (pulsed) scalar fields. It is found that in the case of complete coherence, there is a two-way relation between global cross-spectral purity and spatiotemporal separability of the field. Moreover, we show that cross-spectral purity generalizes the notion of spatiotemporal separability to partially coherent fields, due to the separability of the correlation functions. We also briefly discuss simple self-referencing linear measurement methods that can reveal cross-spectral purity.
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