Target identification using optimization techniques

A scheme for synthesizing bandlimited radar waveforms for detection and discrimination of targets is presented. The procedure, which involves a maximization of the ratio of the energy within a specified time interval to the total energy of the received waveform, can be used to synthesize a bandlimited generator waveform that produces a target response with the majority of its energy concentrated in the specified time duration. For an appropriate time interval, which depends on the bandwidth, such response exhibits energy concentration comparable to that produced by the K-pulse and E-pulse waveforms. The analysis does not require a numerical or empirical determination of the target´s complex poles, since the desired waveform is obtained directly from the knowledge of the system transfer function over the frequency band of interest. The procedure is based on an analytical optimization, so no iterations or nonlinear programming techniques are required. The method is illustrated using simple thin-wire models as targets and antennas. Numerical examples are given, and the effects of bandwidth, duration of optimization, and aspect angle are discussed