Journal ArticleDOI
Cognitive Phase-Only Sequence Design With Desired Correlation and Stopband Properties
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TLDR
This paper considers the phase-only sequence design problem for a cognitive radar in order to achieve both the desired autocorrelation and the stopband properties, which is useful to obtain good range compression as well as the spectral compatibility.Abstract:
This paper considers the phase-only sequence design problem for a cognitive radar in order to achieve both the desired autocorrelation and the stopband properties, which is useful to obtain good range compression as well as the spectral compatibility. We develop a new objective function accounting for the weighted integrated sidelobe level and the spectral power within specific stopbands. An iteration algorithm based on pattern search (PS) is proposed to minimize the nonconvex multidimensional objective function with the continuous phase case, which is split into multiple one-dimensional problems that are simplified and solved with closed-form solutions. In particular, the PS algorithm can be applied to the discrete phase case. Finally, we evaluate the effectiveness of the PS algorithm compared with the weighted-stopband cyclic algorithm new algorithm via numerical simulations in terms of the autocorrelation function, the spectral power function, and the convergence speed.read more
Citations
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Journal ArticleDOI
Quadratic Optimization for Unimodular Sequence Design via an ADPM Framework
TL;DR: The proposed algorithm is proven to converge for any initialization under some mild conditions and avoids the non-convergence problem of the Alternating Direction Method of Multipliers (ADMM) when handling the NP-hard problems.
Journal ArticleDOI
Min-Max Metric for Spectrally Compatible Waveform Design Via Log-Exponential Smoothing
TL;DR: A unified algorithm framework is proposed that first approximate the min-max metric by using the “log-exponential smoothing” technique, then apply majorization-minimization to smooth and simplify the approximate optimization formulations, and finally use the Karush-Kuhn-Tucker theory to tackle the majorized problems.
Journal ArticleDOI
MIMO Radar Waveform Design for Quasi-Equiripple Transmit Beampattern Synthesis via Weighted $l_p$ -Minimization
TL;DR: Under the peak-to-average power ratio (PAR) and energy constraints on the transmit waveforms, a new efficient weighted $\ell _p$-norm metric (with $p\geq 2$) is introduced for colocated wideband/narrowband multiple-input multiple-output radar transmit beampattern matching design, which can achieve quasi-equiripple beamp attern.
Journal ArticleDOI
Cognitive Local Ambiguity Function Shaping With Spectral Coexistence
TL;DR: The results show that the proposed algorithm outperforms some available counterparts in the aspect of the convergence speed and the capability to prohibit the narrow-band spectral interferences and the sidelobes of a strong return from masking weak targets.
Journal ArticleDOI
Sequence Design for Spectral Shaping via Minimization of Regularized Spectral Level Ratio
Linlong Wu,Daniel P. Palomar +1 more
TL;DR: This paper formulation of the sequence design problem is formulated by minimizing the regularized spectral level ratio subject to a peak-to-average power ratio constraint and two algorithms are proposed by combining both the Dinkelbach's algorithm and the majorization–minimzation method organically.
References
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Journal ArticleDOI
On the Convergence of Pattern Search Algorithms
TL;DR: The characterization of pattern search methods is exploited to establish a global convergence theory that does not enforce a notion of sufficient decrease, and is possible because the iterates of a pattern search method lie on a scaled, translated integer lattice.
Journal ArticleDOI
Variable Metric Method for Minimization
TL;DR: This is a method for determining numerically local minima of differentiable functions of several variables by suitable choice of starting values, and without modification of the procedure, linear constraints can be imposed upon the variables.
Book
Signal Design for Good Correlation: For Wireless Communication, Cryptography, and Radar
Solomon W. Golomb,Guang Gong +1 more
TL;DR: This paper presents a meta-analyses of correlation in cyclic Hadamard sequences and its applications to radar, sonar, and synchronization, and describes the properties of correlation as well as applications to Boolean functions.
Journal ArticleDOI
On Probing Signal Design for MIMO Radar
Jian Li,Petre Stoica,Yao Xie +2 more
TL;DR: This paper shows how the above desirable features can be achieved by designing the covariance matrix of the probing signal vector transmitted by the radar, and demonstrates the advantages of several MIMO transmit beampsattern designs, including a beampattern matching design and a minimum sidelobe beamp attern design, over their phased-array counterparts.