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The performance of a system of communication for 4G mobile wireless networks, using the irregular low density parity check code and equalizer of low complexity is studied. The transmitter uses the codification of irregular LDPC encoder, with low error floor. The receiver is composes of a sum product decoder and equalizer with a maximum algorithm probability estimation sequence which a big decrease of the probability of error of the system is achieved. The channel of transmission is an additive, white, Gaussian noise and fast fading with Rayleigh distribution. A speed of 150 Km/Hr to the mobile is considered.