Constrained optimization of the performance indices of arbitrary array antennas

Sanzgiri, S.; Butler, J.K.

doi:10.1109/tap.1971.1139955

Cited by 51 publications

(14 citation statements)

References 10 publications

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“…Also, since and are orthonormal and and are unitary, this assignment ensures that and are also orthonormal. Under this representation, we use (18) in (6) to obtain (20) where is the complex weight on the th sub-basis function. Since , the covariance of is .…”

Section: Numerical Approximation Of Eigenfunctionsmentioning

confidence: 99%

Capacity of the Continuous-Space Electromagnetic Channel

Jensen

Wallace

2008

IEEE Trans. Antennas Propagat.

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Constructing the capacity bound of a multiple-input multiple-output wireless system is often performed by assuming specified antenna configurations and a propagation environment and determining the signaling strategy which maximizes throughput. This paper extends this approach to further determine the optimal antenna characteristics which maximize the capacity for the propagation scenario, with the resulting capacity bound representing the ultimate maximum achievable value if optimal antenna design and signaling are used. In this approach, the spatially-continuous transmit currents and receive fields are represented using eigenfunctions of appropriate operators. It is shown that, except under certain conditions where array supergain solutions emerge, the capacity remains bounded for finite transmit power. The approach also shows how to limit supergain effects using practical constraints. Model problems and numerical computations are provided for different power constraints at the transmitter and noise characteristics at the receiver.Index Terms-Information theory, multipath channels, multipleinput multiple-output (MIMO) systems.

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Section: Numerical Approximation Of Eigenfunctionsmentioning

confidence: 99%

Capacity of the Continuous-Space Electromagnetic Channel

Jensen

Wallace

2008

IEEE Trans. Antennas Propagat.

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“…Theoretical interest continued however unabated. We shall mention here a few [11][12][13][14][15][16][17][18][19], but exclude those based on Chebyshev polynomials since the mathematical technique in those papers is quite different. Some notable recent work on directivity maximisation was done by Azavedo [20,21] and Smierzchalski et al [22].…”

Section: Introductionmentioning

confidence: 99%

Maximum directivity of arbitrary dipole arrays

Shamonina

Solymár

2015

IET Microwaves, Antennas & Propagation

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A fully analytical form, more general than any reported previously, for the optimum current distribution and maximum directivity of an arbitrary array consisting of dipoles parallel with each other, is derived. For an array configuration consisting of several hundred elements, a calculation takes a fraction of a second making many-element superdirective arrays candidates for adaptive antenna applications. Examples for two-dimensional (2D) and 3D arrays are given and some earlier superconductive arrays are revisited. It is also shown in further examples that superconductivity is not incompatible with moderate values of the quality factor.

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“…In this paper, we present our analysis and simulation results for optimized arrays of arbitrarily located radio transceivers aimed at improving the design of wireless communication systems used in current and future emergency response scenarios. Array directivity or gain optimization techniques based on a generalized matrix eigenvalue problem are well covered in past literature, [5]- [9], with [10]- [12] focused on constrained optimization, and a more recent publication [13] providing a detailed mathematical development on the topic of optimized electromagnetic radiation. In addition, probabilistic approaches to antenna array analysis and synthesis are discussed in [14]- [17].…”

Section: Optimizing Arrays Of Randomly Placedmentioning

confidence: 99%

Optimizing Arrays of Randomly Placed Wireless Transmitters for Receivers Located Within the Array Volume

Young

Kuester

Holloway

2007

IEEE Trans. Antennas Propagat.

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We investigate the potential of using arbitrarily placed wireless transceivers to increase the probability of maintaining a communication link in an electrically harsh environment. Specifically, we adapt a well-known matrix-based array optimization technique to the case when the transmitting elements exist in a complex environment and the receiver is not in the far-field of the array. Study of array performance in a non-ideal setting represents an important step in determining the feasibility of using this optimization technique for ad hoc wireless arrays within a building. Measures of array performance consist of median values for the directivity or gain, the total power at the receiver location, and the power per transmitter. The simulation results include array performance in the presence of a lossy dielectric corner to study the effects of building floors and walls. Our results show the median of the optimized directivity or gain for the frequencies of interest with simple boundaries is within 3 dB of that for the optimized configuration in free space.Index Terms-Ad hoc array, arbitrary array optimization, emergency responder communications, random array.

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Constrained optimization of the performance indices of arbitrary array antennas

Cited by 51 publications

References 10 publications

Capacity of the Continuous-Space Electromagnetic Channel

Capacity of the Continuous-Space Electromagnetic Channel

Maximum directivity of arbitrary dipole arrays

Optimizing Arrays of Randomly Placed Wireless Transmitters for Receivers Located Within the Array Volume

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