Direction of Arrival Estimation

Beamscan, MUSIC, MVDR, monopulse trackers, beamspace, ESPRIT, subspace methods

Use direction-of-arrival (DOA) estimation to localize the direction of a radiating or reflecting source. DOA algorithms include beamscan, minimum-variance distortionless response, MUSIC, 2-D MUSIC, and root-MUSIC. Monopulse trackers provide algorithms for tracking moving objects.

Objects

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DOA for Specific Array Geometries

`phased.BeamscanEstimator`	Beamscan spatial spectrum estimator for ULA
`phased.BeamspaceESPRITEstimator`	Beamspace ESPRIT direction of arrival (DOA) estimator for ULA
`phased.ESPRITEstimator`	ESPRIT direction of arrival (DOA) estimator for ULA
`phased.MVDREstimator`	MVDR (Capon) spatial spectrum estimator for ULA
`phased.MUSICEstimator`	Estimate direction of arrival using narrowband MUSIC algorithm for ULA
`phased.RootMUSICEstimator`	Root-MUSIC direction of arrival (DOA) estimator for ULA and UCA arrays
`phased.RootWSFEstimator`	Root WSF direction of arrival (DOA) estimator for ULA
`phased.SumDifferenceMonopulseTracker`	Sum and difference monopulse for ULA
`phased.SumDifferenceMonopulseTracker2D`	Sum and difference monopulse for URA

DOA for Arbitrary Array Geometries

`phased.BeamscanEstimator2D`	2-D beamscan spatial spectrum estimator
`phased.GCCEstimator`	Wideband direction of arrival estimation
`phased.MonopulseFeed`	Creates sum and difference channels
`phased.MonopulseEstimator`	Amplitude monopulse direction finding
`phased.MUSICEstimator2D`	Estimate 2D direction of arrival using narrowband MUSIC algorithm
`phased.MVDREstimator2D`	2-D MVDR (Capon) spatial spectrum estimator
`phased.TOAEstimator`	Time-of-arrival estimation (Since R2024a)

Blocks

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DOA for Specific Array Geometries

Beamspace ESPRIT DOA	Beamspace ESPRIT direction of arrival (DOA) estimator for ULA
ESPRIT DOA	ESPRIT direction of arrival (DOA) estimator for ULA
Root MUSIC DOA	Root multiple signal classification (MUSIC) direction of arrival (DOA) estimator for ULA and UCA
Root WSF DOA	Root weighted subspace fitting (WSF) direction of arrival (DOA) estimator for ULA
ULA Beamscan Spectrum	Beamscan spatial spectrum estimator for ULA
ULA MUSIC Spectrum	MUSIC spatial spectrum estimator for ULA
ULA MVDR Spectrum	MVDR spatial spectrum estimator for ULA
ULA Sum and Difference Monopulse	Sum-and-difference monopulse tracker for ULA
URA Sum and Difference Monopulse	Sum-and-difference monopulse for URA

DOA for Arbitrary Array Geometries

Beamscan Spectrum	Beamscan spatial spectrum estimator
GCC DOA and TOA	Generalized cross-correlator with phase transform
Monopulse Feed	Create monopulse sum and difference channels
Monopulse Estimator	Estimate target direction from sum and difference channels
MUSIC Spectrum	MUSIC 2D spatial spectrum estimator
MVDR Spectrum	Minimum variation distortionless response (MVDR) spatial spectrum estimator

Broadside Angle Conversion

Azimuth Broadside Converter

Convert azimuth angle to broadside angle or broadside angle to azimuth angle

Functions

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Direction of Arrival

`iaadoa`	Estimate direction of signal arrival (Since R2024a)
`espritdoa`	Direction of arrival using TLS ESPRIT
`gccphat`	Generalized cross-correlation
`musicdoa`	Estimate arrival directions of signals using MUSIC
`rootmusicdoa`	Direction of arrival using Root MUSIC
`spsmooth`	Spatial smoothing

Subspace Order Estimation

`aictest`	Dimension of signal subspace
`mdltest`	Dimension of signal subspace

Broadside Angle Conversion

`az2broadside`	Convert azimuth and elevation angle to broadside angle
`broadside2az`	Convert broadside angle to azimuth angle

Topics

DOA Techniques

MUSIC Super-Resolution DOA Estimation
Learn the fundamentals of the MUSIC direction-finding algorithm and spatial smoothing.
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.