Calculation and Simulation of Bit Error Rate for Baseband Signals through Gaussian and Rayleigh Channels

This article presents the calculation and simulation of bit error rates for baseband signals transmitted through Gaussian and Rayleigh channels, accompanied by comparative analysis against their respective theoretical BER curves. The implementation involves generating baseband signals using modulation techniques like BPSK or QPSK, then transmitting them through channel models with additive white Gaussian noise (AWGN) for Gaussian channels and multiplicative fading coefficients for Rayleigh channels. The simulation framework typically includes signal generation, channel impairment modeling, receiver processing with demodulation and decision circuits, and error counting mechanisms. Through systematic Monte Carlo simulations with varying SNR values, we can effectively analyze the transmission performance of baseband signals under different channel conditions, providing valuable insights for communication system design and optimization. The MATLAB code implementation would involve key functions such as awgn() for Gaussian channel modeling, rayleighchan() for fading channel simulation, and berawgn()/berfading() for theoretical BER comparison.