Mathematical Optimization Techniques for Wireless Communications
Haesik Kim · 2020
Wireless communication systems are based on many algorithms and theories such as information theory, coding theory, decision/estimation theory, mathematical modeling, optimization theory, and so on. Mathematical optimization techniques play an important role in many practical systems and research areas such as science, engineering, economics, statistics and medicine. The purpose of optimization is to find the best possible value of the objective function. Optimization problems are composed of three elements: objective function, constraints, and optimization variables. Linear programming is a highly useful tool of analysis and optimization. Optimization problems are categorized as convex optimization problems or non-convex optimization problems. Convex optimization covers convexity analysis, modeling and problem formulation, optimization, and numerical analysis. The gradient descent method is one of the most widely used optimization methods because it is simple and suitable for large-scale problems, and also works very well with few assumptions.