Cognitive Radar Waveform Design Method under the Joint Constraints of Transmit Energy and Spectrum Bandwidth
The water-filling (WF) algorithm is a widely used design strategy in the radar waveform design field to maximize the signal-to-interference-plus-noise ratio (SINR). To address the problem of the poor resolution performance of the waveform caused by the inability to effectively control the bandwidth,...
| Main Authors: | , , , , , |
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| Format: | Article |
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MDPI AG
2023-10-01
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| Series: | Remote Sensing |
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| Online Access: | https://www.mdpi.com/2072-4292/15/21/5187 |
| _version_ | 1797631306911186944 |
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| author | Chen Yang Wei Yang Xiangfeng Qiu Wenpeng Zhang Zhejun Lu Weidong Jiang |
| author_facet | Chen Yang Wei Yang Xiangfeng Qiu Wenpeng Zhang Zhejun Lu Weidong Jiang |
| author_sort | Chen Yang |
| collection | DOAJ |
| description | The water-filling (WF) algorithm is a widely used design strategy in the radar waveform design field to maximize the signal-to-interference-plus-noise ratio (SINR). To address the problem of the poor resolution performance of the waveform caused by the inability to effectively control the bandwidth, a novel waveform-related optimization model is established in this paper. Specifically, a corrected SINR expression is first derived to construct the objective function in our optimization model. Then, equivalent bandwidth and energy constraints are imposed on the waveform to formulate the waveform-related non-convex optimization model. Next, the optimal frequency spectrum is obtained using the Karush–Kuhn–Tucker condition of our non-convex model. Finally, the transmit waveform in the time domain is synthesized under the constant modulus constraint. Different experiments based on simulated and real-measured data are constructed to demonstrate the superior performance of the designed waveform on the SINR and equivalent bandwidth compared to the linear frequency modulated signal and waveform designed by the WF algorithm. In addition, to further evaluate the effectiveness of the proposed algorithm in the application of cognitive radar (CR), a closed-loop radar system design strategy is introduced based on our waveform design method. The experiments under real-measured data confirm the advantages of CR compared to the traditional open-loop radar structure. |
| first_indexed | 2024-03-11T11:21:59Z |
| format | Article |
| id | doaj.art-0af0166538ba4ef68d1e636b18f9ed84 |
| institution | Directory Open Access Journal |
| issn | 2072-4292 |
| language | English |
| last_indexed | 2024-03-11T11:21:59Z |
| publishDate | 2023-10-01 |
| publisher | MDPI AG |
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| series | Remote Sensing |
| spelling | doaj.art-0af0166538ba4ef68d1e636b18f9ed842023-11-10T15:11:19ZengMDPI AGRemote Sensing2072-42922023-10-011521518710.3390/rs15215187Cognitive Radar Waveform Design Method under the Joint Constraints of Transmit Energy and Spectrum BandwidthChen Yang0Wei Yang1Xiangfeng Qiu2Wenpeng Zhang3Zhejun Lu4Weidong Jiang5The College of Electronic Science and Technology, National University of Defense Technology, Changsha 410073, ChinaThe College of Electronic Science and Technology, National University of Defense Technology, Changsha 410073, ChinaThe College of Electronic Science and Technology, National University of Defense Technology, Changsha 410073, ChinaThe College of Electronic Science and Technology, National University of Defense Technology, Changsha 410073, ChinaThe College of Electronic Science and Technology, National University of Defense Technology, Changsha 410073, ChinaThe College of Electronic Science and Technology, National University of Defense Technology, Changsha 410073, ChinaThe water-filling (WF) algorithm is a widely used design strategy in the radar waveform design field to maximize the signal-to-interference-plus-noise ratio (SINR). To address the problem of the poor resolution performance of the waveform caused by the inability to effectively control the bandwidth, a novel waveform-related optimization model is established in this paper. Specifically, a corrected SINR expression is first derived to construct the objective function in our optimization model. Then, equivalent bandwidth and energy constraints are imposed on the waveform to formulate the waveform-related non-convex optimization model. Next, the optimal frequency spectrum is obtained using the Karush–Kuhn–Tucker condition of our non-convex model. Finally, the transmit waveform in the time domain is synthesized under the constant modulus constraint. Different experiments based on simulated and real-measured data are constructed to demonstrate the superior performance of the designed waveform on the SINR and equivalent bandwidth compared to the linear frequency modulated signal and waveform designed by the WF algorithm. In addition, to further evaluate the effectiveness of the proposed algorithm in the application of cognitive radar (CR), a closed-loop radar system design strategy is introduced based on our waveform design method. The experiments under real-measured data confirm the advantages of CR compared to the traditional open-loop radar structure.https://www.mdpi.com/2072-4292/15/21/5187cognitive radarwaveform designbandwidth constraintenergy constraintsignal-to-interference-plus-noise ratioKarush–Kuhn–Tucker condition |
| spellingShingle | Chen Yang Wei Yang Xiangfeng Qiu Wenpeng Zhang Zhejun Lu Weidong Jiang Cognitive Radar Waveform Design Method under the Joint Constraints of Transmit Energy and Spectrum Bandwidth Remote Sensing cognitive radar waveform design bandwidth constraint energy constraint signal-to-interference-plus-noise ratio Karush–Kuhn–Tucker condition |
| title | Cognitive Radar Waveform Design Method under the Joint Constraints of Transmit Energy and Spectrum Bandwidth |
| title_full | Cognitive Radar Waveform Design Method under the Joint Constraints of Transmit Energy and Spectrum Bandwidth |
| title_fullStr | Cognitive Radar Waveform Design Method under the Joint Constraints of Transmit Energy and Spectrum Bandwidth |
| title_full_unstemmed | Cognitive Radar Waveform Design Method under the Joint Constraints of Transmit Energy and Spectrum Bandwidth |
| title_short | Cognitive Radar Waveform Design Method under the Joint Constraints of Transmit Energy and Spectrum Bandwidth |
| title_sort | cognitive radar waveform design method under the joint constraints of transmit energy and spectrum bandwidth |
| topic | cognitive radar waveform design bandwidth constraint energy constraint signal-to-interference-plus-noise ratio Karush–Kuhn–Tucker condition |
| url | https://www.mdpi.com/2072-4292/15/21/5187 |
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