Waveform synthesis by means of random searching

This paper presents a random search computer design technique that is shown to be suitable to the solution of a class of waveform design problems. The class of problems considered is that class in which only the phase angles associated with a fixed power spectrum ensemble of sinusoids are varied so that the sum of the sinusoids approximates some desired waveform. Two illustrative peak-factor design problems are considered in order to demonstrate use of the random search, which is seen to have the capability for both adaptive search radius and adaptive direction.