Gain Performance and Bit Error Rate Analysis of Maximum Ratio Combining and Equal Gain Combining

In this document, we provide a comprehensive analysis of the gain performance and bit error rate characteristics of Maximum Ratio Combining (MRC) and Equal Gain Combining (EGC) techniques. We will systematically explore the fundamental principles, advantages, and limitations of these diversity combining schemes. The implementation typically involves signal weighting algorithms where MRC assigns weights proportional to signal-to-noise ratios, while EGC applies equal weights to all branches. We will present recent research developments in these combining techniques, examining their implications for future communication systems. Additionally, we will analyze key performance metrics through MATLAB simulations, demonstrating how to calculate combining gains and error rates using functions like `comm.MRCCombiner` and `comm.EGCCombiner`. Practical application case studies will be included to illustrate the real-world implementation and significance of these combining techniques in modern wireless communication systems, showing how they improve system robustness against fading channels. Performance comparison code snippets will demonstrate the SNR improvement and BER reduction achievable through optimal combining strategies.