Orthogonal space time code based partial rank affine projection adaptive filtering algorithm

A space time code based partial rank affine projection (PRAP) algorithm is proposed. The proposed algorithm uses an input signal where the input signal matrix X_k becomes an orthogonal matrix. For this input signal, matrix (X_k^TX_k) becomes a diagonal matrix whose inverse can be easily computed. Thus, the proposed algorithm saves a significant amount of computations. Due to this feature the proposed PRAP algorithm is shown to offer a faster convergence speed and a smaller computational burden per iteration than the NLMS algorithm does.