Adaptive Waveform Design for Target Localization and Tracking for Cognitive MIMO Sonar Joseph Tabrikian Underwater Acoustics Symposium Tel-Aviv University June 17, 2013 Research students: W. Huleihel and N. Shraga
Outline Introduction Cognitive MIMO radar/sonar configuration Adaptive waveform for target localization Adaptive waveform for MIMO sonar – static scenario Adaptive waveform design for MIMO sonar – dynamic scenario Conclusions and future work
Introduction - Cognitive Radar/Sonar Adaptive Waveform Design Environment Adaptive Receiver Detection/ Localization/ Tracking/ Classification Transmit Signal Receive Signal Key point: Transmit waveform is designed at very low SNR’s before the target is detected.
Cognitive MIMO Radar/Sonar Configuration
Cognitive MIMO Radar/Sonar Configuration
Cognitive MIMO Radar/Sonar Configuration Target dynamic model Detection/ Estimation/ Tracking Optimal Adaptive Waveform Design Optimal Receiver noise
Waveform Design for Optimal Target Localization Considered criteria: Bayesian Cramér-Rao bound (BCRB) Simple, analytic expressions Ignores large-errors/threshold phenomenon Reuven-Messer bound (RMB) Higher complexity Takes into account large-errors/threshold phenomenon and therefore is able to control the sidelobes
Simulations – Cognitive MIMO Radar
Simulations – Cognitive MIMO Radar BCRB-based waveform design Posterior pdf’s and transmit beampatterns . Auto-focusing effect: Automatic beamforming before detection/estimation.
Simulations – Cognitive MIMO Radar RMB-based waveform design Posterior pdf’s and transmit beampatterns . Auto-focusing effect: Automatic beamforming before detection/estimation.
Simulations – Cognitive MIMO Radar Single target – direction estimation accuracy: ASNR=-6dB k=6
Cognitive MIMO Sonar
Simulations – Cognitive MIMO Sonar
Simulations – Cognitive MIMO Sonar Single target – posterior pdf:
Simulations – Cognitive MIMO Sonar Single target – beampattern:
Waveform Design for Optimal Target Tracking Dynamic model: What is the optimal transmit (spatial) waveform for tracking?
Simulations – Cognitive MIMO Sonar Target Tracking
Simulations – Cognitive MIMO Sonar Single target – posterior pdf (via Monte-Carlo):
Simulations – Cognitive MIMO Sonar Single target – posterior pdf (via Monte-Carlo):
Conclusions and Future Work A new optimal waveform design approach for cognitive MIMO radar/sonar is proposed based on minimizing the BCRB and RMB at each step using the measurements from previous steps. The RMB-based algorithm was shown to provide better results, since it is able to control the sidelobes. This approach provides an automatic focusing array: beamforming before detection or estimation. The method was adapted to consider dynamic targets, which can be interpreted as track-before-detect in transmission. Further research will cover the following issues: Taking into account environmental uncertainties, Wideband signal model, Realistic shallow water channel simulations, Considering other optimization criteria, such as probability of detection.
Thank you!
Simulations – Cognitive MIMO Radar