wpm-ofdm radar signal design for joint optimality of detection performance and ambiguity function shape

in recent years, wavelet packet modulation ofdm (wpm-ofdm) signals have been introduced for radar applications. these signals have important properties such as inherent high range resolution and high resistance of radar system against jamming reception. this paper investigates the problem of designing these family of signals according to the following criteria: constrained maximization of the detection performance in the presence of colored gaussian noise and clutter with known covariance matrix and constrained minimization of the least square error between desired and designed ambiguity functions. so, the problem can be formulated in terms of a non-convex multi-objective optimization problem. to solve it, first, the weighted sum method is used to reduce the original signal design problem to scalar one. then, to find optimal solution, the particle swarm optimization algorithm which is simple and computationally efficient will be used.