Source Separation and Clustering of Phase-Locked Subspaces: Derivations and Proofs

TL;DR

This paper provides detailed derivations and proofs for methods related to source separation and clustering of phase-locked subspaces, complementing a prior publication with theoretical rigor.

Contribution

It offers rigorous mathematical proofs for the algorithms and results previously presented without proof in the conference paper.

Findings

Formal proofs of source separation algorithms

Validation of clustering methods for phase-locked subspaces

Theoretical foundations for phase-locking analysis

Abstract

Due to space limitations, our submission "Source Separation and Clustering of Phase-Locked Subspaces", accepted for publication on the IEEE Transactions on Neural Networks in 2011, presented some results without proof. Those proofs are provided in this paper.