Identification and Equalization of GSM Model Using Algorithm Based on Fourth Order Cumulants and PSK Constellations

In this paper, we apply a blind algorithm for Global System Mobile communication (GSM) equalization. In order to identify, blindly, the impulse response of GSM channel, we have used higher order cumulants (HOC) to build our algorithm able to simulate the measured data with high accuracy. The simulation results in noisy environment and a for different signal to noise ratio (SNR) demonstrate that the proposed algorithm is able to estimate the impulse response of this channel blindly (i.e., without any information about the input), except that the PSK constellations are used to generate the input excitation of the GSM channel. In the part of equalization, we use the ISI (Inter-Symbol Interference) criteria and impulse response of global system in imaginary and real part representation to perform our algorithm. The simulation results demonstrate the effectiveness of the proposed algorithm