Design of orthogonal discrete frequency coding waveforms via improved genetic algorithm

We develop a new efficient method for designing discrete frequency coding waveforms with linear frequency modulation (DFCW-LFM). The method integrates the genetic algorithm with linear congruence generator. The hybrid algorithm is carefully derived and analysed. Moreover, a succinct optimization criterion, which is based on the autocorrelation and cross-correlation of the ambiguous function, is derived to assess the performance of the DFCW-LFM. The simulation results demonstrate the effectiveness of this method. Compared with other existing methods, the waveforms designed using our method have lower correlation levels.