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OPARC: Optimal and Precise Array Response Control Algorithm—Part II: Multi-Points and Applications

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TLDR
The optimal and precise array response control (OPARC) algorithm proposed in Part I of this two paper series is extended from single point to multi-points and an innovative concept of normalized covariance matrix loading is proposed.
Abstract
In this paper, the optimal and precise array response control (OPARC) algorithm proposed in Part I of this two paper series is extended from single point to multi-points. Two computationally attractive parameter determination approaches are provided to maximize the array gain under certain constraints. In addition, the applications of the multi-point OPARC algorithm to array signal processing are studied. It is applied to realize array pattern synthesis (including the general array case and the large array case), multi-constraint adaptive beamforming, and quiescent pattern control, where an innovative concept of normalized covariance matrix loading is proposed. Finally, simulation results are presented to validate the effectiveness and good performance of the multi-point OPARC algorithm.

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Journal ArticleDOI

High-Performance Beampattern Synthesis via Linear Fractional Semidefinite Relaxation and Quasi-Convex Optimization

TL;DR: A new method to synthesize high-performance beampatterns, with the aid of linear fractional semidefinite relaxation (LFSDR) technique and a quasi-convex optimization approach, which performs well in both the array configurations and/or noise environments.
Journal ArticleDOI

OPARC: Optimal and Precise Array Response Control Algorithm—Part I: Fundamentals

TL;DR: In this article, the problem of how to optimally and precisely control array response levels is addressed by using the concept of the optimal weight vector from the adaptive array theory and adding virtual interferences one by one.
Journal ArticleDOI

Phased array beamforming with practical constraints

TL;DR: The proposed approach can synthesize beams that meet the requirements of narrow mainlobe or both low sidelobe and high array gain or wide notch and can deal with the deterioration of the beam performance due to the quantization operation and the nonisotropy of the array.
Journal ArticleDOI

Mainlobe deceptive jammer suppression using element-pulse coding with MIMO radar

TL;DR: A preset beampattern synthesis (PBPS) method is proposed to enhance the robustness of jammer suppression against direction mismatches by broadening nulls around the jammers and generating a flat-top mainlobe.
Journal ArticleDOI

Pattern Synthesis via Oblique Projection-Based Multipoint Array Response Control

TL;DR: Two array response control algorithms for pattern synthesis with the aid of oblique projection can be presented and, by successively performing the proposed algorithms to adjust the response to meet certain requirements, the array pattern can be synthesized.
References
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Book

Distributed Optimization and Statistical Learning Via the Alternating Direction Method of Multipliers

TL;DR: It is argued that the alternating direction method of multipliers is well suited to distributed convex optimization, and in particular to large-scale problems arising in statistics, machine learning, and related areas.
Journal ArticleDOI

An algorithm for linearly constrained adaptive array processing

O.L. Frost
TL;DR: A constrained least mean-squares algorithm has been derived which is capable of adjusting an array of sensors in real time to respond to a signal coming from a desired direction while discriminating against noises coming from other directions.
Journal ArticleDOI

Robust adaptive beamforming

TL;DR: It is shown that a simple scaling of the projection of tentative weights, in the subspace orthogonal to the linear constraints, can be used to satisfy the quadratic inequality constraint.
Journal ArticleDOI

On robust Capon beamforming and diagonal loading

TL;DR: It is shown that a natural extension of the Capon beamformer to the case of uncertain steering vectors also belongs to the class of diagonal loading approaches, but the amount of diagonalloading can be precisely calculated based on the uncertainty set of the steering vector.
Journal ArticleDOI

A Current Distribution for Broadside Arrays Which Optimizes the Relationship between Beam Width and Side-Lobe Level

C. L. Dolph
TL;DR: In this article, a one-parameter family of current distributions for symmetric broadside arrays of equally spaced point sources energized in phase was derived, and design curves relating the value of the parameter to side-lobe level as well as the relative current values expressed as a function of side lobe level were given for the cases of 8-, 12-, 16-, 20-, and 24-element linear arrays.
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