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The relationship of different optimal waveform design criteria in signal-dependent interference, as well as additive channel noise for stochastic extended target, is investigated here. Within constraints on waveform energy and bandwidth, the optimal waveform design based on the signal-to-interference plus noise ratio criterion, probability of detection criterion, and mutual information criterion are modelled. Afterwards, the relationship of these criteria is presented. Simulations are conducted to illustrate that under the same bandwidth and energy constraints, the three criteria lead to the similar optimal waveform. The energy of optimal waveform can be distributed in some narrow bands where target power is large and interference power is small.

The relationship of different optimal waveform design criteria in signal-dependent interference, as well as additive channel noise for stochastic extended target, is investigated here. Within constraints on waveform energy and bandwidth, the optimal waveform design based on the signal-to-interference plus noise ratio criterion, probability of detection criterion, and mutual information criterion are modelled. Afterwards, the relationship of these criteria is presented. Simulations are conducted to illustrate that under the same bandwidth and energy constraints, the three criteria lead to the similar optimal waveform. The energy of optimal waveform can be distributed in some narrow bands where target power is large and interference power is small. [ABSTRACT FROM AUTHOR]

We propose to design a peak-to-average power ratio (PAPR) constrained transmit waveform that achieves the optimal performance (following the Neyman-Pearson lemma) in detecting a target in the presence of signal-dependent interference. The direct time-domain approach allows straightforward characterizations of the correlation and PAPR properties of the designed signals, which are critically important to analyze the system performance in the presence of multiple targets and to assess the transmitter power-utilization, respectively. Therefore, instead of designing a transmit signal only for the optimal detection performance, we solve a biobjective Pareto-optimization problem, subjecting to the PAPR and total energy constraints, in order to simultaneously optimize the detection and cross-correlation performances. With extensive numerical examples, we demonstrate that PAPR-constrained signals produce nearly optimum detection performance even with a strict PAPR requirement, and also highlight the conflicting behavior of the detection and correlation performances. [ABSTRACT FROM PUBLISHER]

The problem of signal detection for cognitive radar (CR) is considered, and a closed‐loop detection system is proposed to detect the extended target in the presence of signal‐dependent interference. In the system, the estimator of target impulse response (TIR) and waveform design are used to improve the detection performance of CR, and the estimate of TIR is also used for designing the matched waveform. In addition, in order to improve the reliability of detection, the two‐step process which is called estimation before detection is proposed. Simulation results indicate that the proposed system performs better than the traditional radar system which used the fixed waveform. [ABSTRACT FROM AUTHOR]