A method for the optimal pattern synthesis of linear arrays with prescribed nulls
A new L/sub /spl infin// optimal method for the synthesis of equispaced linear array functions with asymmetrical far-field pattern functions is proposed. This iterative method provides for the exact specification of the beam width, while at the same time allowing for the specification of the relativ...
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| Published in | IEEE transactions on antennas and propagation Vol. 44; no. 3; pp. 286 - 294 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
IEEE
01.03.1996
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| Subjects | |
| Online Access | Get full text |
| ISSN | 0018-926X |
| DOI | 10.1109/8.486295 |
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| Abstract | A new L/sub /spl infin// optimal method for the synthesis of equispaced linear array functions with asymmetrical far-field pattern functions is proposed. This iterative method provides for the exact specification of the beam width, while at the same time allowing for the specification of the relative levels of individual sidelobes by index or as a function of bearing (e.g., angularly-extended nulls), as well as the realization of specified narrowband nulls. The resulting array factors are optimal in the weighted L/sub /spl infin// sense and, in general, have complex coefficients. This new Remez-type method employs multiple objective functions to provide the degrees of freedom that are required for exact null placement. Examples which demonstrate the design flexibility offered by the method are included for various sum and difference patterns, including superdirective and shaped-beam arrays. |
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| AbstractList | A new L({infinity}) optimal method for the synthesis of equispaced linear array functions with asymmetrical far-field pattern functions is proposed. This iterative method provides for the exact specification of the beam width, while at the same time allowing for the specification of the relative levels of individual sidelobes by index or as a function of bearing (e.g., angularly-extended nulls), as well as the realization of specified narrowband nulls. The resulting array factors are optimal in the weighted L({infinity}) sense and, in general, have complex coefficients. This new Remez-type method employs multiple objective functions to provide the degrees of freedom that are required for exact null placement. Examples which demonstrate the design flexibility offered by the method are included for various sum and difference patterns, including superdirective and shaped-beam arrays A new L/sub /spl infin// optimal method for the synthesis of equispaced linear array functions with asymmetrical far-field pattern functions is proposed. This iterative method provides for the exact specification of the beam width, while at the same time allowing for the specification of the relative levels of individual sidelobes by index or as a function of bearing (e.g., angularly-extended nulls), as well as the realization of specified narrowband nulls. The resulting array factors are optimal in the weighted L/sub /spl infin// sense and, in general, have complex coefficients. This new Remez-type method employs multiple objective functions to provide the degrees of freedom that are required for exact null placement. Examples which demonstrate the design flexibility offered by the method are included for various sum and difference patterns, including superdirective and shaped-beam arrays. A new L sub( infinity ) optimal method for the synthesis of equispaced linear array functions with asymmetrical far-field pattern functions is proposed. This iterative method provides for the exact specification of the beam width, while at the same time allowing for the specification of the relative levels of individual sidelobes by index or as a function of bearing (e.g., angularly-extended nulls), as well as the realization of specified narrowband nulls. The resulting array factors are optimal in the weighted L sub( infinity ) sense and, in general, have complex coefficients. This new Remez-type method employs multiple objective functions to provide the degrees of freedom that are required for exact null placement. Examples which demonstrate the design flexibility offered by the method are included for various sum and difference patterns, including superdirective and shaped-beam arrays. A new L-infinity optimal method for the synthesis of equispaced linear array functions with asymmetrical far-field pattern functions is proposed. This iterative method provides for the exact specification of the beam width, while at the same time allowing for the specification of the relative levels of individual sidelobes by index or as a function of bearing (e.g., angularly extended nulls), as well as the realization of specified narrowband nulls. The resulting array factors are optimal in the weighted L-infinity sense and, in general, have complex coefficients. This new Remez-type method employs multiple objective functions to provide the degrees of freedom that are required for exact null placement. Examples which demonstrate the design flexibility offered by the method are included for various sum and difference patterns, including superdirective and shaped-beam arrays. (Author) |
| Author | Shpak, D.J. |
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| Cites_doi | 10.1016/0165-1684(83)90091-9 10.1109/8.29358 10.1137/0707017 10.1007/978-3-642-85643-3 10.1016/0165-1684(90)90078-D 10.1109/82.378038 10.1109/TASSP.1974.1162607 10.1090/S0025-5718-1988-0935074-5 10.1109/TAP.1978.1141953 10.1109/78.301834 10.1109/78.193198 10.1109/29.17562 10.1109/APS.1987.1150039 10.1109/78.80764 10.1121/1.388002 10.1016/0165-1684(93)90082-L 10.1109/8.182443 10.1109/TASSP.1987.1165111 10.1109/82.378041 10.1109/82.372870 10.1121/1.1907444 10.1109/8.57004 10.1109/78.370616 10.1109/TCT.1972.1083419 10.1109/31.45709 |
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| References | ref13 ref12 ref15 ref14 davis (ref25) 1963 ref11 ref10 ref2 ref1 ref17 ref16 ref19 ref18 ref23 ref26 ref20 ref22 ref21 ref28 ref27 ref8 ref7 ref9 ref4 orchard (ref3) 1985; 132 ref6 ref5 antoniou (ref24) 1982; 129 |
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| Snippet | A new L/sub /spl infin// optimal method for the synthesis of equispaced linear array functions with asymmetrical far-field pattern functions is proposed. This... A new L-infinity optimal method for the synthesis of equispaced linear array functions with asymmetrical far-field pattern functions is proposed. This... A new L sub( infinity ) optimal method for the synthesis of equispaced linear array functions with asymmetrical far-field pattern functions is proposed. This... A new L({infinity}) optimal method for the synthesis of equispaced linear array functions with asymmetrical far-field pattern functions is proposed. This... |
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| SubjectTerms | Algorithm design and analysis Computational efficiency Digital filters Iterative methods Linear programming Narrowband Null value Optimization methods Perturbation methods Polynomials |
| Title | A method for the optimal pattern synthesis of linear arrays with prescribed nulls |
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