Antennas, Microphones, and Sonar Transducers

Antennas with isotropic, cosine, sinc, cardioid, Gaussian, 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 include isotropic, cosine, sinc, cardioid, and Gaussian for scalar fields and dipole short dipole, crossed-dipole, and NR-element antennas to simulate polarized electromagnetic fields. The toolbox also includes omnidirectional and custom microphones which are useful in audio 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.

Objects

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Antennas

`phased.CardioidAntennaElement`	Cardioid antenna element (Since R2021b)
`phased.CosineAntennaElement`	Cosine antenna element
`phased.CrossedDipoleAntennaElement`	Crossed-dipole antenna element
`phased.CustomAntennaElement`	Custom antenna element
`phased.GaussianAntennaElement`	Gaussian antenna element (Since R2021b)
`phased.IsotropicAntennaElement`	Isotropic antenna element
`phased.NRAntennaElement`	5G antenna element described in 3GPP TR 38.901 specification (Since R2021a)
`phased.ShortDipoleAntennaElement`	Short-dipole antenna element
`phased.SincAntennaElement`	Sinc antenna element (Since R2021b)

Microphones and Sonar Transducers

`phased.CustomMicrophoneElement`	Custom microphone element
`phased.OmnidirectionalMicrophoneElement`	Omnidirectional microphone element
`phased.IsotropicHydrophone`	Isotropic hydrophone element
`phased.IsotropicProjector`	Isotropic projector element

Functions

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Convert Aperture and Gain

`ap2beamwidth`	Compute half-power beamwidth from aperture length (Since R2021a)
`aperture2gain`	Convert effective aperture to gain
`beamwidth2ap`	Computes aperture length of unweighted antenna from beamwidth (Since R2021b)
`beamwidth2gain`	Compute antenna gain from azimuth and elevation beamwidths (Since R2021a)
`effbeamwidth`	Effective beamwidth of an array (Since R2024b)
`gain2aperture`	Convert gain to effective aperture

Convert Angular Coordinates

`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

Convert Antenna Patterns

`uv2azelpat`	Convert radiation pattern from u/v form to azimuth/elevation form
`azel2uvpat`	Convert radiation pattern from azimuth/elevation form to u/v form
`azelcut2pat`	Create 3-D response pattern from azimuth and elevation cuts
`phitheta2azelpat`	Convert radiation pattern from phi-theta coordinates to azimuth-elevation coordinates
`azel2phithetapat`	Convert radiation pattern from azimuth-elevation coordinates to phi-theta coordinates
`uv2phithetapat`	Convert radiation pattern from u/v form to phi/theta form
`phitheta2uvpat`	Convert radiation pattern from phi/theta form to u/v form
`rotpat`	Rotate radiation pattern

Analyze Polarized Fields

`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

Classes

polarpattern Interactive plot of radiation patterns in polar format

Topics

Antennas

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.

Microphones

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.

Radiation Patterns

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.
Polarized Fields
Polarized electromagnetic 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 (SI).