In many engineering problems such as optical communications, radar and sonar problems, the electronic synthesis of speech, etc., as well as mathematical applications, a problem that arises is that of finding a waveform (trigonometric polynomial) with a specified spectrum, such that its crest factor is minimum, where the crest factor is the ratio of the peak signal energy (L∞norm) to the power (L2norm) of the waveform. The mathematical formulation of the problem is as follows: Given 1 ≤m1展开▼