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Convex Optimization and MIMO RADAR waveform design in the presence of clutter

Naghibi, T ; Sharif University of Technology | 2008

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  1. Type of Document: Article
  2. DOI: 10.1109/ICSCS.2008.4746864
  3. Publisher: 2008
  4. Abstract:
  5. Waveform design for Target identification and classification in MIMO radar systems has been studied in several recent works. While the previous works considered signal independent noise and found optimal signals for an e stimation algorithm, here we extend the results to the case where clutter is also present and then we will find the optimum waveform for several estimators differing in the assumptions on the given statistics. Several different approaches to the optimal waveform design are proposed, including minimizing the error of MMSE estimator, minimizing the maximum error of the covariance shaping least square (CSLS) estimator and minimizing the MSE error of scaled least square (SLS) estimator. Choosing optimal waveform for MMSE estimator leads to the Semi-definite programming (SDP) problem. Finding the optimal transmit signals for CSLS estimator results in a minimax eigenvalue problem. Finally it is shown that equal power waveforms are the best transmit signals for the SLS estimator. © 2008 IEEE
  6. Keywords:
  7. Clutter (information theory) ; Convex optimization ; Crystal lattices ; Curve fitting ; Eigenvalues and eigenfunctions ; MIM devices ; Multiplexing ; Optimization ; Parameter estimation ; Waveform analysis ; Covariance shaping ; Eigenvalue problems ; Independent noise ; Least squares ; Maximum errors ; Mimo radars ; Mini maxes ; Optimal signals ; Power waveforms ; Semi-definite programming ; Target identifications ; Wave forms ; Waveform designs ; Radar systems
  8. Source: 2008 2nd International Conference on Signals, Circuits and Systems, SCS 2008, Nabeul, 7 November 2008 through 9 November 2008 ; January , 2008 ; 9781424426287 (ISBN)
  9. URL: https://ieeexplore.ieee.org/document/4746864