Simplified block linear equalizer with block space time transmit diversity

A method for receiving data fields transmitted using transmit diversity blocks spacetime, BSTTD, in a communication system access code division, CDMA, carrying out transmission by transmitting a first data field using a first antenna, and a second data field using a second antenna, wherein * represents a conjugate; the method comprising the steps of: receiving the first data field and the second data field; characterized by: generating (401) a model of received signal does not consider interference between the data blocks according to: where A and B are versions of lines block matrices propagation associated with the first antenna and second, respectively; and determines the transmitted data symbols of the first field and the second field using a linear equalization block mean square errors minimal decomposition of approximate Cholesky (403), and forward and backward substitution (407), wherein a factor Cholesky decomposition used in the approximate Cholesky of matrices includes four blocks, a first block of the four block matrices is approximated as a complex conjugate of a second block matrices (405) of four blocks.