Determination of phase functions for a desired one-dimensional pattern

Chakraborty, Ajoy Kumar; Das, B.N.; Sanyal, G. S.

doi:10.1109/tap.1981.1142602

Cited by 44 publications

(10 citation statements)

References 3 publications

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“…In particular, we selected two types of array factors forφ DES (u): the sector and the cosecant patterns. These are more complex than the relatively simple multi-beams addressed in [4] and are often employed in literature as reference for the introduction of continuous source and uniformly-spaced unequally-excited arrays synthesis methods [13,14]. Let us start by the sector-pattern case.…”

Section: Numerical Analysismentioning

confidence: 99%

Study of Unequally-Excited Random Antenna Arrays for Beam Shaping

Buonanno¹,

Solimene²

2018

PIER C

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Abstract-Random arrays have been typically studied by considering real uniform excitations. This is suited for single-beam radiation patterns but does not allow for more sophisticated patterns. Indeed, only even patterns, with respect to the steering angle, can be achieved. To overcome this limitation, we recently proposed a new model whereby the excitation coefficients are not uniform and are determined by means of two random variable transformations. In this paper, we deal more extensively with the properties of this model, highlighting things that have not been pointed out previously. In order to get analytical results, we just consider symmetric random arrays. For such a case, we determine the design error, that is the cumulative distribution function of the supremum of the the difference between the actual and desired array factors. It is shown that general shaped beams can be actually achieved but at the cost of an increase of the design error as compared to the single-beam case. Numerical analysis validates the presented theory.

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Section: Numerical Analysismentioning

confidence: 99%

Study of Unequally-Excited Random Antenna Arrays for Beam Shaping

Buonanno¹,

Solimene²

2018

PIER C

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“…In [11], the stationary-phase method was used to derive 1D phase functions for phase-only synthesis of the principleplane radiation pattern from a circular phased array aperture of radius R. That work focused on two specific one-dimensional pattern shapes: a sector beam and a cosecant beam. For a sector beam having uniform pattern amplitude for − …”

Section: B Initializationmentioning

confidence: 99%

“…1. Approximation of the desired cosecant pattern obtained using Chakraborty's [11] derived phase-functions for a circular array with radius R = 10λ. Here, we approximate the pattern using the product of a horizontal sector beam (shown on left) and a vertical cosecant amplitude distribution (shown in the center).…”

Section: Examplementioning

confidence: 99%

“…The problem is initialized using functions derived from [11], which are defined in terms of a small number of variables thus making the application of a global solver at this level practical. The objective function for this global solver internally performs a fast local optimization for a fixed number of iterations, quickly identifying and discarding initializations that lead to the mainbeam nulls that are a common localminimum artifact.…”

Section: Introductionmentioning

confidence: 99%

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A hybrid global-local optimization approach to phase-only array-pattern synthesis

Dorsey

Scholnik

2015

2015 IEEE Radar Conference (RadarCon)

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Abstract-Phased array magnitude/power-pattern synthesis is in general a nonconvex optimization problem which can exhibit a large number of local minima. This is often exacerbated by the addition of (nonconvex) magnitude constraints on the array weights. Practical large-scale design of such patterns requires both efficient local optimization to quickly identify candidate minima, and nonlocal ("global") optimization to provide new starting points and evaluate the resulting minima to find a suitable, if not global, solution. Here we combine a very efficient constrained local formulation based on a weighted pattern-error metric with a parameterized heuristic method for generating initial array weights and a global method for searching over the parameter space. We additionally show that passband pointnulls, a common local-minima artifact, can be reliably detected early in the local optimization allowing for quick termination.

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“…Also, is the number of displaced nulls in the right hand side and is the number of displaced nulls in the left hand side. If nulls can be calculated, the Fourier expansion method as applied in [11] can be used to write and as (11) and then substituting (11) in (8) gives (12) where, the integral in (12) for is zero and for reduces to (13) Since is zero for or , then applying (13) to (11) leads to a truncated Fourier series as (14) and…”

Section: B Desired Pattern Synthesis With Pattern's Null Manipulationmentioning

confidence: 99%

Sum, Difference and Shaped Beam Pattern Synthesis by Non-Uniform Spacing and Phase Control

Oraizi

Fallahpour

2011

IEEE Trans. Antennas Propagat.

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A design procedure for the synthesis of non-uniformly spaced linear arrays is presented, which uses the Poisson sum expansion of the array factor introduced in the literature. By considering the nonzero phase term in the existent formula and using the appropriate line source pattern synthesis methods, a general design procedure is obtained to synthesize any type of pattern, such as sum, difference and shaped beams. This approach converts the nonlinear complex problem of pattern synthesis for non-uniformly spaced linear arrays to a simple problem, which makes it fast and easy to implement. Moreover, an extra optimization process is added to the synthesis procedure to improve final pattern and provide control on computed parameters.Index Terms-Linear arrays, non-uniformly spaced arrays.

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Determination of phase functions for a desired one-dimensional pattern

Cited by 44 publications

References 3 publications

Study of Unequally-Excited Random Antenna Arrays for Beam Shaping

Study of Unequally-Excited Random Antenna Arrays for Beam Shaping

A hybrid global-local optimization approach to phase-only array-pattern synthesis

Sum, Difference and Shaped Beam Pattern Synthesis by Non-Uniform Spacing and Phase Control

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