Karhunen
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Algebraic Diversity: Principles of a Group-Theoretic Approach to Signal Processing
arXiv:2604.19983v5 Announce Type: replace-cross Abstract: We present principles of algebraic diversity (AD), a group-theoretic approach to signal processing exploiting signal symmetry to extract more information per observation, complementing classical methods that use temporal and spatial diversity. The transformations under which a signal's statistics are invariant form a matched group; this group determines the natural transform for analysis, and averaging an estimator over the group...