Abstract

Abstract It is shown that the standard PCA is a subspace representation of the primary set of parity relations. It is possible then to define partial PCA's, as subspace representations of transformed parity relations. These inherit the structural properties of the parity relations, in that they are selectively sensitive to subsets of faults. With this, it is possible to design an incidence matrix for a set of such partial PCAs, resulting in a structure with the same fault isolation properties as a structured set of parity relations. While these properties are being deduced from parity relation features, the actual analysis is performed entirely in the PCA framework.

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