Application of Linear Programming to Frequency Modulation Radio Signal Optimization in the High Frequency Band

Efficient transmission and reception of Frequency Modulated (FM) radio signals are critical for maintaining high-quality broadcasting with minimal interference. This study presents a novel application of Linear Programming (LP) techniques to optimize the signal strength of an FM radio signal in a given geographical area, by modeling signal power levels and path loss as a set of linear inequalities, we develop an LP-based framework that seeks to maximize signal coverage and strength while minimizing the distortion the signal can be subjected to as a result of adverse weather conditions. Simulation results demonstrate that the proposed method significantly enhances signal clarity and reduces attenuation. The findings underscore the potential of linear programming as a powerful tool for spectrum management and signal optimization in FM broadcasting networks. The result of this research also depicts that, for an FM signal with a frequency band of 88-108 MHz with 1 W transmitted power, the signal strength must increase by 60% to compensate for the effect of increased temperature.