Optimum block adaptive filtering algorithms using the preconditioning technique

We propose three block adaptive algorithms using the preconditioning technique. The Toeplitz-preconditioned optimum block adaptive (TOBA) algorithm employs a preconditioner assumed to be Toeplitz, the symmetric successive overrelaxation (SSOR)-preconditioned optimum block adaptive (SOBA) algorithm uses a product of triangular matrices as a preconditioner, and the circulant-preconditioned OBA (COBA) algorithm is based on a circulant preconditioner. It is also shown that their tracking properties and convergence rates are superior to those of the OBA algorithm, the self-orthogonizing block adaptive filter (SOBAF), and the normalized frequency-domain OBA (NFOBA) algorithm.