MRC Receiver with SIMO Implementation

This MATLAB implementation demonstrates a Maximum Ratio Combining (MRC) receiver operating in a SIMO (Single Input Multiple Output) configuration. The MRC algorithm processes multiple received signals by applying optimal weighting coefficients based on channel state information, then combines them coherently to maximize the signal-to-noise ratio (SNR). Key features include: - Channel estimation and SNR calculation for each receiver branch - Implementation of weighting factors proportional to individual branch SNRs - Phase alignment and coherent signal combination - Error rate performance evaluation through BER calculations The code structure typically involves: 1. Signal reception through multiple antennas (Rx array) 2. Channel estimation using pilot symbols or training sequences 3. Weight computation using the formula: w_i = h_i*/σ_i^2, where h_i is channel coefficient and σ_i^2 is noise variance 4. Combined signal calculation: y_mrc = Σ(w_i * y_i) 5. Demodulation and decoding of the combined signal This implementation achieves diversity gain by optimally exploiting multiple reception paths, significantly improving wireless communication reliability in fading environments. The SIMO-MRC combination enhances system performance by reducing bit error rates while maintaining computational efficiency through vectorized operations.