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Antennas, Microphones, and Sonar Transducers

Antennas with isotropic, cosine, and custom response patterns; dipole antennas; microphones with omnidirectional and custom response patterns; sonar transducers, polarization

You can simulate a phased array using the antenna, microphone, and sonar transducer System objects contained in this toolbox. You can choose from several common antenna and microphone element types but you can also define custom antenna or microphone elements. Antennas types include isotropic or cosine antennas for scalar fields and dipole antennas to simulate polarized electromagnetic fields. The toolbox also includes omnidirectional and custom microphones which are useful in audio and sonar applications. The toolbox supports sonar applications with isotropic projector and hydrophone System objects. Plotting tools let you display radiation patterns for power and directivity.

Phased array systems are also compatible with antennas from Antenna Toolbox™. Use of this toolbox requires an additional license. For an example of how to use Antenna Toolbox antennas in place of Phased Array System Toolbox™ antennas, see Using Antenna Toolbox with Phased Array Systems.

The toolbox also provides models for transmitting and receiving amplifiers.

System Objects

phased.CosineAntennaElement Cosine antenna element
phased.CrossedDipoleAntennaElement Crossed-dipole antenna element
phased.CustomAntennaElement Custom antenna element
phased.IsotropicAntennaElement Isotropic antenna element
phased.ShortDipoleAntennaElement Short-dipole antenna element
phased.CustomMicrophoneElement Custom microphone
phased.OmnidirectionalMicrophoneElement Omnidirectional microphone
phased.IsotropicHydrophone Isotropic hydrophone
phased.IsotropicProjector Isotropic projector


aperture2gain Convert effective aperture to gain
gain2aperture Convert gain to effective aperture
uv2azel Convert u/v coordinates to azimuth/elevation angles
azel2uv Convert azimuth/elevation angles to u/v coordinates
phitheta2azel Convert angles from phi/theta form to azimuth/elevation form
azel2phitheta Convert angles from azimuth/elevation form to phi/theta form
uv2phitheta Convert u/v coordinates to phi/theta angles
phitheta2uv Convert phi/theta angles to u/v coordinates
uv2azelpat Convert radiation pattern from u/v form to azimuth/elevation form
azel2uvpat Convert radiation pattern from azimuth/elevation form to u/v form
phitheta2azelpat Convert radiation pattern from phi/theta form to azimuth/elevation form
azel2phithetapat Convert radiation pattern from azimuth/elevation to phi/theta form
uv2phithetapat Convert radiation pattern from u/v form to phi/theta form
phitheta2uvpat Convert radiation pattern from phi/theta form to u/v form
polellip Parameters of ellipse traced out by tip of a polarized field vector
polratio Ratio of vertical to horizontal linear polarization components of a field
pol2circpol Convert linear component representation of field to circular component representation
circpol2pol Convert circular component representation of field to linear component representation
stokes Stokes parameters of polarized field
polloss Polarization loss
polsignature Copolarization and cross-polarization signatures


polarpattern Interactive plot of radiation patterns in polar format


Antenna Examples

Cosine Antenna Element

Cosine antennas have response patterns consisting of cosine functions raised to user-specifiable power.

Custom Antenna Element

You can specify the response pattern of a custom antenna element as a function of azimuth and elevation.

Isotropic Antenna Element

Isotropic antennas have response patterns that are uniform in all directions.

Short-dipole Antenna Element

Short-dipole antenna elements radiate linearly-polarized electromagnetic fields.

Crossed-dipole Antenna Element

Crossed-dipole antenna elements radiate circularly-polarized electromagnetic fields.

Using Antenna Toolbox with Phased Array Systems

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

Microphone Examples

Custom Microphone Element

You can specify the response pattern of a custom microphone element as a function of azimuth and elevation.

Omnidirectional Microphone

Omnidirectional microphone have response patterns uniform in all directions.

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.


Element and Array Radiation and Response Patterns

Element and array radiation patterns and responses, directivity and gain

Polarized Fields

What are polarized fields?

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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