Optimal pulse shape design for digital communication systems by projections onto convex sets

Recent developments in DSP hardware has made it possible to use almost any pulse shape for digital data transmission. This resulted in a search for algorithms capable of constructing pulse shapes matching to the properties of a given channel. The projection onto convex sets technique is suitable for the solution of this problem particularly because of its flexibility in modeling a variety of constraints. The use of the technique for the optimal pulse shape design problem is demonstrated through a detailed example from power line communications.