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Array Geometries and Analysis

Uniform linear arrays (ULA), uniform rectangular arrays (URA), uniform circular arrays (UCA), conformal arrays, subarrays, array response, steering vectors

Phased arrays consist of antenna or microphone elements arranged into regular patterns. Common array types include uniform linear arrays, uniform rectangular arrays, and uniform circular arrays. You can also build arrays with arbitrary geometries by using conformal arrays. For many examples of the kinds of arrays that the toolbox supports, see Phased Array Gallery. The toolbox includes System objects for building arrays composed of subarrays and partitioned arrays. You can model array perturbations and mutual coupling between elements and create heterogeneous arrays with different element types. You can incorporate Phased Array System Toolbox™ or Antenna Toolbox™ antenna elements in your arrays. Methods let you plot array directivity and other radiation patterns. You can also create and use steering vectors for dynamic array pointing.


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phased.ULAUniform linear array
phased.URAUniform rectangular array
phased.UCAUniform circular array
phased.ConformalArrayConformal array
phased.PartitionedArrayPhased array partitioned into subarrays
phased.ReplicatedSubarrayPhased array formed by replicated subarrays
phased.HeterogeneousConformalArrayHeterogeneous conformal array
phased.HeterogeneousULAHeterogeneous uniform linear array
phased.HeterogeneousURAHeterogeneous uniform rectangular array
phased.NRRectangularPanelArray5G antenna array described in 3GPP TR 38.901 specification
phased.FocusedSteeringVectorFocused sensor array steering vector
phased.SteeringVectorSensor array steering vector
phased.ElementDelaySensor array element delay estimator
phased.ArrayGainSensor array gain
phased.ArrayResponseSensor array response
phased.SphericalWavefrontArrayResponseArray response to spherical wavefront


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az2broadsideConvert azimuth and elevation angle to broadside angle
broadside2azConvert broadside angle to azimuth angle
pilotcalibArray calibration using pilot sources
steervecSteering vector
taylortapercTaylor nbar taper for arrays


polarpatternInteractive plot of radiation patterns in polar format


Sensor Array AnalyzerAnalyze beam patterns and performance characteristics of linear, planar, 3-D, and arbitrary sensor arrays


Phased Arrays

Uniform Linear Array

Uniform linear arrays consist of antennas or microphones equally spaced a long a straight line.

Uniform Rectangular Array

Uniform rectangular arrays consist of antennas or microphones placed on a regular 2-dimensional grid.

Conformal Array

Antennas and microphones in conformal arrays can be placed anywhere in three dimensions.

Subarrays Within Arrays

Subarrays are collections of elements within a larger array that can be processed as a group.

Array Patterns

Polarized Fields

Polarized electromagnetic fields.

Element and Array Radiation and Response Patterns

Radiation patterns describe fields radiated by antennas and transducers and can be used to analyze directivity and gain.

Units of Measure and Physical Constants

Phased Array System Toolbox uses the International System of Units (SI).

Standards and Conventions

This section introduces the concept of baseband signals and defines the local and global coordinate systems used in the toolbox.