This paper elaborates on an orthonormal version of the projection approxima
tion and subspace tracking (PAST) algorithm for fast estimation and trackin
g of principal subspace or/and principal components of a vector sequence. T
he orthonormal PAST (OPAST) algorithm guarantees the orthonormality of the
weight matrix at each iteration. Moreover, it has a linear complexity like
the PAST algorithm and a global convergence property like the natural power
(NP) method.