Crest Factor Optimization for Multisine Signals

Algorithm Information

This optimization algorithm combines two methods to minimize the crest factor of a multisine signal:

1. Sigmoid Transform: Applies a nonlinear transformation to reshape the signal's amplitude distribution.
2. Gauss-Newton Method: Iteratively optimizes the signal phases to minimize the p-norm, which is related to the crest factor.

The algorithm alternates between these two methods, switching when progress stagnates. This approach was inspired by various signal optimization techniques in the field of system identification and control.