Propagation of orthogonality error for frans algorithm

In this paper, we analyze the propagation of orthogonality error for fast Rayleighpsilas quotient based adaptive noise subspace algorithm (FRANS). First, we examine the propagation of orthogonality error for the numerically unstable FRANS in the mean and in the mean-square sense. Then, numerically stable FRANS with householder transformation (HFRANS) is studied through simulation as an improvement to FRANS. Numerical examples are provided to demonstrate the validity of the proposed error propagation models.

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