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Multicarrier communication systems with adaptive modulation and coding systems such as ofdm are well suited for high speed and mobility oriented networks like mobile wimax that has to support users in different fading and mobility conditions. The channel estimation and link prediction are worked out at different levels. These estimators and predictors are normally examined using complex emulators and simulators. It is very difficult to predict the performance of different links with same SNR. There is a need to design simple link performance predictors. In this paper the BER and Pe are estimated using Effective Exponential SIR Mapping. This method is proved better than conventional methods used for prediction. The results are showed to be within the boundary conditions defined by chernoff union bound. The bound was developed for EESM mapping using mathematical model developed for BPSK under AWGN channel. The results are showed for different modulations order and different channel realizations.