2007
DOI: 10.1049/el:20070167
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Multi-beam synthesis with null constraints by phase control for antenna arrays of arbitrary geometry

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Cited by 12 publications
(14 citation statements)
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“…Substituting (6) into (4) we obtain the corresponding minimum (7) where is Hermitian because is Hermitian. Hence, the problem of minimizing (2) reduces to that of finding a phase function minimizing the functional in (7), and the corresponding vector by (6). Since is independent of , minimizing is equivalent to maximize the functional (8) In order to transform each integral in (5b) into a summation, we divide the integration interval into adjacent subintervals of equal length , and evaluate the integrand function at the centers of these subintervals, .…”
Section: The Auxiliary Phase Algorithm (Apa)mentioning
confidence: 99%
See 1 more Smart Citation
“…Substituting (6) into (4) we obtain the corresponding minimum (7) where is Hermitian because is Hermitian. Hence, the problem of minimizing (2) reduces to that of finding a phase function minimizing the functional in (7), and the corresponding vector by (6). Since is independent of , minimizing is equivalent to maximize the functional (8) In order to transform each integral in (5b) into a summation, we divide the integration interval into adjacent subintervals of equal length , and evaluate the integrand function at the centers of these subintervals, .…”
Section: The Auxiliary Phase Algorithm (Apa)mentioning
confidence: 99%
“…In [5], a phase-only algorithm based on a sequential quadratic programming (SQP) approach is proposed to form multiple main lobes and nulls for linear arrays. A fast phase-only control algorithm, based on the minimization of a weighted cost function including the design requirements, is presented in [6] to generate multibeam patterns satisfying null constraints for antenna arrays of arbitrary geometry. Two simple iterative methods of constrained pattern synthesis for arbitrary arrays are presented in [7], where the consistency between null constraints and DRR constraints is discussed.…”
Section: Introductionmentioning
confidence: 99%
“…This suggests the usage of a phase-only control approach for the synthesis of the excitations, whose amplitudes hence have to be left constant and identical to avoid the installation of expensive power dividers. The development of phase-only synthesis techniques has been widely investigated, and thus a large number of solutions are already present [21][22][23][24][25][26][27], whose testing, except for [27], has been focused on the two-dimensional (2D) scenario. In this context, an interesting 3D clustered approach has been proposed in [28], where the array elements belonging to a cluster are characterized by a common amplitude and different phases.…”
Section: Introductionmentioning
confidence: 99%
“…Many methods have been applied, with more or less success, with the perspective of improving the accuracy, the time processing, the stability, etc. (Vaskelainen, 1997;Khzmalyan and Kondrat'yev, 1996;Rodríguez et al, 1999;Comisso and Vescovo, 2007).…”
Section: Introductionmentioning
confidence: 99%