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SYNTHESIS OF SPARSE OR THINNED LINEAR AND PLANAR ARRAYS GENERATING RECONFIGURABLE MULTIPLE REAL PATTERNS BY ITERATIVE LINEAR PROGRAMMING
- Source :
- Scopus-Elsevier
- Publication Year :
- 2016
- Publisher :
- The Electromagnetics Academy, 2016.
-
Abstract
- It is shown in this paper that the problem of reducing the number of elements for multiple- pattern arrays can be solved by a sequence of reweighted � 1 optimizations under multiple linear constraints. To do so, conjugate symmetric excitations are assumed so that the upper and lower bounds for each pattern can be formulated as linear inequality constraints. In addition, we introduce an auxiliary variable for each element to define the common upper bound of both the real and imaginary parts of multiple excitations for different patterns, so that only linear inequality constraints are required. The objective function minimizes the reweighted � 1-norm of these auxiliary variables for all elements. Thus, the proposed method can be efficiently implemented by the iterative linear programming. For multiple desired patterns, the proposed method can select the common elements with multiple set of optimized amplitudes and phases, consequently reducing the number of elements. The radiation characteristics for each pattern, such as the mainlobe shape, response ripple, sidelobe level and nulling region, can be accurately controlled. Several synthesis examples for linear array, rectangular/triangular-grid and randomly spaced planar arrays are presented to validate the effectiveness of the proposed method in the reduction of the number of elements.
- Subjects :
- Sequence
Mathematical optimization
Radiation
Linear programming
020208 electrical & electronic engineering
Ripple
020206 networking & telecommunications
02 engineering and technology
Condensed Matter Physics
Upper and lower bounds
Set (abstract data type)
Reduction (complexity)
Linear inequality
Planar
0202 electrical engineering, electronic engineering, information engineering
Electrical and Electronic Engineering
Algorithm
Mathematics
Subjects
Details
- ISSN :
- 15598985
- Volume :
- 155
- Database :
- OpenAIRE
- Journal :
- Progress In Electromagnetics Research
- Accession number :
- edsair.doi.dedup.....b6a50a86654ecc7f2843b6d56f78e697