Reducing the Number of Elements in a Linear Antenna Array by the Matrix Pencil Method

By Yanhui Liu, Z. Nie, Qing Huo Liu. IEEE Transactions on Antennas and Propagation, 2008

261 citations recorded by the source corpus.

Subfields: Aerospace Engineering, Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/c3e8cfdfb96e7791714debcc5f8e93a934b90418

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In Aerospace Engineering

In Atomic and Molecular Physics, and Optics

Citations in the corpus

Sparse Array Beampattern Synthesis via Alternating Direction Method of Multipliers (2018, methodology): “Other design techniques include spatial tapering [10], [11], matrix pencil [12], [13], and stochastic optimization such as particle swarm [14], genetic algorithm [15], ant colony [16], and simulated annealing [17], [18].”
Unconventional Phased Array Architectures and Design Methodologies—A Review (2016, methodology): “More recently, an innovative technique based on the matrix pencil method was shown to outperform previous synthesis techniques in terms of convergence speed and achievable array performance [74].”
Reducing the Number of Elements in the Synthesis of Shaped-Beam Patterns by the Forward-Backward Matrix Pencil Method (2010, methodology): “Through numerous synthesis examples, we found that the magnitudes of imaginary parts of were always very insignificant for the synthesis of broadside pencil-beam patterns [7].”
Reducing the Number of Elements in Multiple-Pattern Linear Arrays by the Extended Matrix Pencil Methods (2014, methodology): “According to the Nyquist sampling theorem [19], the condition that must be satisfied, where .”
Synthesis of Sparse Arrays With Focused or Shaped Beampattern via Sequential Convex Optimizations (2012, methodology): “Matrix pencil methods (MPM) have lately been efficiently applied to reconstruct focused and shaped beampatterns while reducing the number of the array elements [13]–[15].”
Fast Pencil Beam Pattern Synthesis of Large Unequally Spaced Antenna Arrays (2013, methodology): “approach, a 170-element sparse linear array whose element positions and excitations are optimized by matrix pencil method in [8], Fig.”
A NEW METHOD FOR THE SYNTHESIS OF NON- UNIFORM LINEAR ARRAYS WITH SHAPED POWER PATTERNS (2010, unknown): “That is, where f and ˆZ are given by (17) and (18) of [14], respectively.”
Maximally Sparse Arrays Via Sequential Convex Optimizations (2012, methodology): “For this problem, to our knowledge, the best result is reported in [4], wherein the same performances (concerning final SLL and beamwidth) of [13] have been achieved with”
Bayesian Compressive Sampling for Pattern Synthesis With Maximally Sparse Non-Uniform Linear Arrays (2011, methodology): “More recently, Problem II has been solved by means of an innovative technique based on the matrix pencil method [ 7 ].”
Synthesis of Nonuniformly Spaced Linear Arrays With Frequency-Invariant Patterns by the Generalized Matrix Pencil Methods (2015, methodology): “rank matrix approximation technique, as did in the original MPM-based synthesis methods [22], [23].”