Theoretical study of a multisensor equalizer using the MSE for the radiomobile channel (GSM model)

The theoretical performance of a multisensor receiver using a linear or decision feedback equalizer (DFE) associated to the MMSE criterion is analyzed as a function of the equivalent discrete channel impulse response (CIR). The multisensor equivalent discrete CIR is derived, with some assumptions, from an extended single sensor channel model given by the GSM specifications for different environments. It is then used to yield the optimum taps settings in the MMSE sense. A comparative study of the performance (BER) of different structures of the single and multisensor equalizer is carried out. The different configurations taken into account are a linear or decision feedback for single or multisensor equalizer and a purely diversity combining scheme. In all cases the comparison of the theoretical performance is done for different numbers of sensors