A novel algorithm for signal subspace tracking based on a new subspace information criterion

In this paper, we present a new algorithm for tracking the signal subspace recursively. It is based on a new interpretation of the signal subspace. We introduce a novel information criterion for signal subspace estimation. We show that the solution of the proposed constrained optimization problem results the signal subspace. In addition, we introduce three adaptive algorithms which can be used for real time implementation of the signal subspace tracking. The computational complexity of the proposed signal subspace tracking algorithms are
O
(
nr

²
) which is much less than the direct computation of singular value decomposition or even some algorithms. Simulation results in the direction of arrival (DOA) tracking context depict excellent performance of the proposed algorithm.