Slides for - Fractional Programming for Communication Systems

In this talk, we discuss a new transform technique for solving fractional programming (FP), i.e., a family of optimization problems with ratio terms. The classic FP techniques such as the Charnes-Cooper andÿDinkelbach?sÿmethods typically deal with a single ratio, and in general, do not work for multiple ratios. This talk will introduce the recent progress in developing FP for multiple ratios and matrix ratios, along with a broad range of applications in communications and signal processing, including energy efficiency enhancement, channel estimation, power control, beamforming, and user scheduling. Furthermore, this talk will discuss the connections of FP to the minorization-maximization, the fixed-point iteration, and the weighted minimum mean-square error algorithm.