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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 as well as 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.

System Objects

phased.ULA Uniform linear array
phased.URA Uniform rectangular array
phased.UCA Uniform circular array
phased.ConformalArray Conformal array
phased.PartitionedArray Phased array partitioned into subarrays
phased.ReplicatedSubarray Phased array formed by replicated subarrays
phased.HeterogeneousConformalArray Heterogeneous conformal array
phased.HeterogeneousULA Heterogeneous uniform linear array
phased.HeterogeneousURA Heterogeneous uniform rectangular array
phased.SteeringVector Sensor array steering vector
phased.ElementDelay Sensor array element delay estimator
phased.ArrayGain Sensor array gain
phased.ArrayResponse Sensor array response


az2broadside Convert azimuth and elevation angle to broadside angle
broadside2az Convert broadside angle to azimuth angle
pilotcalib Array calibration using pilot sources
steervec Steering vector
taylortaperc Taylor nbar taper for arrays


polarpattern Interactive plot of radiation patterns in polar format


Sensor Array Analyzer Analyze beam pattern of linear, planar, and conformal sensor arrays


Array Examples

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.

Using Antenna Toolbox with Phased Array Systems

You can use Antenna Toolbox antennas in your Phased Array System Toolbox simulation.

Phased Array System Examples

Overview of Basic Workflow

This section provides an introduction to the end-to-end radar simulation.

End-to-End Radar System

The basic toolbox workflow is applied to a monostatic radar system consisting of a single antenna.


Polarized Fields

What are polarized fields?

Element and Array Radiation and Response Patterns

Element and array radiation patterns and responses, directivity and gain

Units of Measure and Physical Constants

Phased Array System Toolbox uses the International System of Units.

Standards and Conventions

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

Units of Measure and Physical Constants

Phased Array System Toolbox uses the International System of Units.

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