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10. A Coordinate-Descent Framework to Design Low PSL/ISL Sequences.

Author

Kerahroodi, Mohammad Alaee, Aubry, Augusto, De Maio, Antonio, Naghsh, Mohammad Mahdi, and Modarres-Hashemi, Mahmoud

Subjects
RADAR, AUTOCORRELATION (Statistics), BINARY codes, MATHEMATICAL models of signal processing, SIGNAL processing
Abstract

This paper is focused on the design of phase sequences with good (aperiodic) autocorrelation properties in terms of peak sidelobe level and integrated sidelobe level. The problem is formulated as a biobjective Pareto optimization forcing either a continuous or a discrete phase constraint at the design stage. An iterative procedure based on the coordinate descent method is introduced to deal with the resulting optimization problems that are nonconvex and NP-hard in general. Each iteration of the devised method requires the solution of a nonconvex min–max problem. It is handled either through a novel bisection or an FFT-based method respectively for the continuous and the discrete phase constraint. Additionally, a heuristic approach to initialize the procedures employing the $l_p$-norm minimization technique is proposed. Simulation results illustrate that the proposed methodologies can outperform some counterparts providing sequences with good autocorrelation features especially in the discrete phase/binary case. [ABSTRACT FROM PUBLISHER]

Published
2017
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14. A Coordinate-Descent Framework to Design Low PSL/ISL Sequences

Author

Mahmoud Modarres-Hashemi, Mohammad Alaee Kerahroodi, Augusto Aubry, Mohammad Mahdi Naghsh, Antonio De Maio, Kerahroodi, Mohammad Alaee, Aubry, Augusto, De Maio, Antonio, Naghsh, Mohammad Mahdi, and Modarres-Hashemi, Mahmoud

Subjects
FOS: Computer and information sciences, Mathematical optimization, Peak sidelobe level (PSL), Optimization problem, Heuristic (computer science), Computer Science - Information Theory, Fast Fourier transform, Integrated sidelobe level (ISL), 02 engineering and technology, Multi-objective optimization, 0203 mechanical engineering, Polyphase code, Binary phase code, 0202 electrical engineering, electronic engineering, information engineering, Electrical and Electronic Engineering, Coordinate descent, Mathematics, 020301 aerospace & aeronautics, Radar, Information Theory (cs.IT), Autocorrelation, 020206 networking & telecommunications, Constraint (information theory), Aperiodic graph, Signal Processing, Algorithm, Waveform design
Abstract

This paper is focused on the design of phase sequences with good (aperiodic) autocorrelation properties in terms of Peak Sidelobe Level (PSL) and Integrated Sidelobe Level (ISL). The problem is formulated as a bi-objective Pareto optimization forcing either a continuous or a discrete phase constraint at the design stage. An iterative procedure based on the coordinate descent method is introduced to deal with the resulting optimization problems which are non-convex and NP-hard in general. Each iteration of the devised method requires the solution of a non-convex min-max problem. It is handled either through a novel bisection or an FFT-based method for the continuous and the discrete phase constraint, respectively. Additionally, a heuristic approach to initialize the procedures employing the lp-norm minimization technique is proposed. Simulation results illustrate that the proposed methodologies can outperform some counterparts providing sequences with good autocorrelation features especially in the discrete phase/binary case.

Published
2017

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