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| Cognitive Radar Waveform Design with A Peak to Average Power Ration Constraint for Spectrally Dense Environments |
| ZOU Kun LUO Yanbo LI Wei LI Hailin |
| (School of Information and Navigation, Air Force Engineering University, Xi’an 710077, China) |
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Abstract The most important characteristic of the complex electromagnetic environment is the limitation of the radio frequency resource. As a result, the smart use of the limiting spectral resource is necessary to the waveform design for the cognitive radar. This paper designs the transmit waveform under the Peak to Average power Ratio (PAR), to maximize the Signal to Noise power Ratio (SNR) at the receiver, and simultaneously, minimize the power of the waveform in the interference frequency bands. The waveform design problem is a quadratically constrained multi-objective optimization problem. Exploiting the Pareto optimization method, the one objective function is obtained by weighted sum of the two ones, and the resultant problem reduces into a Quadratically Constrained Quadratic Program (QCQP). In order to solve it, the SemiDefinite Program (SDP) relaxation and randomization are used to achieve the optimal waveform, whose performance is related to the Pareto weights and the PAR constraint. The computer simulation results show that, there is a restrictive relationship between the SNR and interference suppression ability for the waveform design, and the performance can be improved by increasing the dynamic range of the transmitter.
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Received: 30 August 2017
Published: 02 April 2018
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| Fund:The National Natural Science Foundation of China (61571456), The Natural Science Foundation of Shaanxi Province (2016JM0644) |
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Corresponding Authors:
ZOU Kun
E-mail: wyyxzk@163.com
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