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Wireless communications has witnessed a tremendous growth during the past decade and further spectacular enabling technology advances are expected in an effort to render ubiquitous wireless connectivity a reality. The first step towards high speed digital communication over a wireless media includes the understanding of the channel and its characteristics. In a wireless media we have multipath components because of scattering, diffraction, reflection etc. In this paper we are comparing the performance of BPSK in AWGN and Rayleigh fading channel. We are using Monte Carlo based algorithm for the same. Here we will compare BER using simulated and theoretical results.