MATLAB Demonstration Experiment on Shannon Channel Capacity Formula

In this experiment, we will demonstrate Shannon's channel capacity formula using MATLAB. This fundamental formula calculates the maximum information transmission rate under specific channel conditions. Through MATLAB implementation, we'll visually observe capacity calculations and analyze how different parameters affect transmission rates. The demonstration will include code for plotting capacity versus signal-to-noise ratio (SNR) relationships and implementing the core formula C = B × log₂(1 + SNR), where B represents bandwidth. Key MATLAB functions like log2 for logarithmic calculations and array operations for parameter sweeping will be utilized. By modifying channel parameters such as bandwidth and SNR values through MATLAB scripts, we can observe real-time changes in channel capacity. This hands-on approach helps understand the practical applications and significance of Shannon's formula in communication systems. The experiment will demonstrate proper MATLAB coding techniques for mathematical formula implementation and data visualization using plot functions. Through this demonstration, you will gain deeper insights into both the theoretical principles and practical implementation of Shannon's channel capacity formula.