WPM-OFDM Radar Signal Design For Joint Improvement of Detection Performance and Ambiguity Function Shape

In recent years, Wavelet Packet Modulation OFDM (WPM-OFDM) signals have been introduced for radar applications. Using these signals results in significant properties such as desired inherent high range resolution and high resistance from radar system against jamming reception (Electronic Warfare) in radar systems. This paper investigates into the problem of designing these signals based on the following criteria; constrained maximization of the detection performance in the presence of colored Gaussian noise and clutter with the known covariance matrix and constrained minimization of the least squared error between desired and designed ambiguity functions. In other words, this issue can be formulated in terms of a non-convex multi-objective optimizing problem. In order to solve it, at first, the weighted sum method is used to change the original biobjective problem into a single objective or scalar one. Then, to find the optimal solution, the particle swarm optimization algorithm, which is simple and computationally efficient, will be employed.