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Behavior of communication medium play vital role in the growth of wireless communication system. To understand various wireless channel environments such as additive white Gaussian noise (AWGN) and Rayleigh fading channels in orthogonal frequency division multiplexing (OFDM) along with multiple input and multiple output (MIMO) system, we analyze mathematical relation of bit error rate (BER) against Signal to Noise ratio (SNR) and verified the same using MATLAB simulation, while considering the BPSK modulation scheme. The performance measured in terms of BER is evaluated for various channels of OFDM-MIMO system along with variation in number of antennas at transmitter and receiver side. It has been demonstrated that the BER and probability of detection improves against SNR per bit, as the diversity employs at transmitter or/and receiver end.