A gauge-theoretic framework models the whitening filter as a section of a principal bundle and proves that the minimum-phase connection is flat for scalar fields, yielding a holonomic update law determined only by the instantaneous noise state.
We model n(t)as a real-valued, zero-mean, wide-sense stationary (WSS) stochastic process
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Gauge Theoretic Signal Processing I: The Commutative Formalism for Single-Detector Adaptive Whitening
A gauge-theoretic framework models the whitening filter as a section of a principal bundle and proves that the minimum-phase connection is flat for scalar fields, yielding a holonomic update law determined only by the instantaneous noise state.