Journal ArticleDOI
Minimax Robust MIMO Radar Waveform Design
Yang Yang,Rick S. Blum +1 more
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This work develops minimax robust waveforms for MIMO radar under both MMSE and MI criteria that bound the worst-case performance at an acceptable limit, and also could insure performance will be sufficiently good for any PSD in the uncertainty class.Abstract:
We consider the problem of minimax robust waveform design for multiple-input multiple-output (MIMO) radar based on mutual information (MI) and minimum mean-square error (MMSE) estimation for target identification and classification. Recognizing that a single, precise characterization of target power spectral density (PSD) is rare in practice, we assume the PSD lies in an uncertainty class of spectra bounded by known upper and lower bounds, which markedly relaxes the required target a priori knowledge. Based on this band model, we develop minimax robust waveforms for MIMO radar under both MMSE and MI criteria. These robust waveforms bound the worst-case performance at an acceptable limit, and also could insure performance will be sufficiently good for any PSD in the uncertainty class. Our findings also indicate that the MI and MMSE criteria lead to different minimax robust waveform solutions, which is in contrast to the case of the perfectly known target PSDread more
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Journal ArticleDOI
Phased-MIMO Radar: A Tradeoff Between Phased-Array and MIMO Radars
TL;DR: Substantial improvements offered by the proposed phased-MIMO radar technique are demonstrated analytically and by simulations through analyzing the corresponding beam patterns and the achievable output signal-to-noise-plus-interference ratios.
Journal ArticleDOI
MIMO Radar Waveform Design With Constant Modulus and Similarity Constraints
TL;DR: Two sequential optimization procedures to maximize the Signal to Interference plus Noise Ratio (SINR) are presented, accounting for a constant modulus constraint as well as a similarity constraint involving a known radar waveform with some desired properties.
Journal ArticleDOI
Designing Unimodular Sequence Sets With Good Correlations—Including an Application to MIMO Radar
Hao He,Peter Stoica,Jian Li +2 more
TL;DR: New computationally efficient cyclic algorithms for MIMO radar waveform synthesis can be used for the design of unimodular MIMo sequences that have very low auto- and cross-correlation sidelobes in a specified lag interval, and of very long sequences that could hardly be handled by other algorithms previously suggested in the literature.
Journal ArticleDOI
MIMO Radar Waveform Optimization With Prior Information of the Extended Target and Clutter
Chun-Yang Chen,P.P. Vaidyanathan +1 more
TL;DR: A novel iterative algorithm is proposed to optimize the waveforms and receiving filters in the MIMO radar such that the detection performance can be maximized and these algorithms have better SINR performance than existing design methods.
Journal ArticleDOI
MIMO Radar Ambiguity Properties and Optimization Using Frequency-Hopping Waveforms
Chun-Yang Chen,P.P. Vaidyanathan +1 more
TL;DR: A new algorithm for designing the orthogonal frequency-hopping waveforms is proposed that reduces the sidelobes in the corresponding MIMO radar ambiguity function and makes the energy of the ambiguity function spread evenly in the range and angular dimensions.
References
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Book
Convex Optimization
Stephen Boyd,Lieven Vandenberghe +1 more
TL;DR: In this article, the focus is on recognizing convex optimization problems and then finding the most appropriate technique for solving them, and a comprehensive introduction to the subject is given. But the focus of this book is not on the optimization problem itself, but on the problem of finding the appropriate technique to solve it.
Book
An Introduction to Signal Detection and Estimation
TL;DR: Signal Detection in Discrete Time and Signal Estimation in Continuous Time: Elements of Hypothesis Testing and Elements of Parameter Estimation.
Book
Toeplitz and circulant matrices
TL;DR: The fundamental theorems on the asymptotic behavior of eigenvalues, inverses, and products of banded Toeplitz matrices and Toepler matrices with absolutely summable elements are derived in a tutorial manner in the hope of making these results available to engineers lacking either the background or endurance to attack the mathematical literature on the subject.
Journal ArticleDOI
Toeplitz Forms and Their Applications.
TL;DR: In this article, Toeplitz forms are used for the trigonometric moment problem and other problems in probability theory, analysis, and statistics, including analytic functions and integral equations.
Book
Toeplitz forms and their applications
TL;DR: In this paper, Toeplitz forms are used for the trigonometric moment problem and other problems in probability theory, analysis, and statistics, including analytic functions and integral equations.