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This letter proposes the inverse LDM' and LU factorizations of a matrixpartitioned into 2x2 blocks, which include the square-root and division freeversion. The proposed squareroot and division free inverse LDM' factorizationis applied to compute the initial estimation error covariance matrix Q for therecursive V-BLAST algorithm, which can save K-1 divisions (where K is thenumber of transmit antennas), and requires about the same computationalcomplexity as the corresponding algorithm to compute Q in the existingrecursive V-BLAST algorithm [8], [9]. The proposed square-root and divisionfree inverse LDM' factorization can also be applied to propose the square-rootand division free implementation for the squareroot V-BLAST algorithm in [5],where the wide-sense Givens rotation in [14] is utilized. With respect to theexisting squareroot V-BLAST algorithms [5], [6], the proposed square-root anddivision free V-BLAST algorithm requires about the same computationalcomplexity, and can avoid the square-root and division operations.

Inverse LDM' and LU Factorizations of a Partitioned Matrix with the Square-root and Division Free Version for V-BLAST