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Phased Array System Toolbox Functions

Alphabetical List By Category

Phased Array Design and Analysis

Antennas, Microphones, and Sonar Transducers

phased.CosineAntennaElementCosine antenna element
phased.CrossedDipoleAntennaElementCrossed-dipole antenna element
phased.CustomAntennaElementCustom antenna element
phased.IsotropicAntennaElementIsotropic antenna element
phased.ShortDipoleAntennaElementShort-dipole antenna element
phased.CustomMicrophoneElementCustom microphone
phased.OmnidirectionalMicrophoneElementOmnidirectional microphone
phased.IsotropicHydrophoneIsotropic hydrophone
phased.IsotropicProjectorIsotropic projector
aperture2gainConvert effective aperture to gain
gain2apertureConvert gain to effective aperture
uv2azelConvert u/v coordinates to azimuth/elevation angles
azel2uvConvert azimuth/elevation angles to u/v coordinates
phitheta2azelConvert angles from phi/theta form to azimuth/elevation form
azel2phithetaConvert angles from azimuth/elevation form to phi/theta form
uv2phithetaConvert u/v coordinates to phi/theta angles
phitheta2uvConvert phi/theta angles to u/v coordinates
uv2azelpatConvert radiation pattern from u/v form to azimuth/elevation form
azel2uvpatConvert radiation pattern from azimuth/elevation form to u/v form
phitheta2azelpatConvert radiation pattern from phi/theta form to azimuth/elevation form
azel2phithetapatConvert radiation pattern from azimuth-elevation to phi-theta coordinates
uv2phithetapatConvert radiation pattern from u/v form to phi/theta form
phitheta2uvpatConvert radiation pattern from phi/theta form to u/v form
polellipParameters of ellipse traced out by tip of a polarized field vector
polratioRatio of vertical to horizontal linear polarization components of a field
pol2circpolConvert linear component representation of field to circular component representation
circpol2polConvert circular component representation of field to linear component representation
stokesStokes parameters of polarized field
pollossPolarization loss
polsignatureCopolarization and cross-polarization signatures
polarpatternInteractive plot of radiation patterns in polar format

Array Geometries and Analysis

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.SteeringVectorSensor array steering vector
phased.ElementDelaySensor array element delay estimator
phased.ArrayGainSensor array gain
phased.ArrayResponseSensor array response
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

Signal Radiation and Collection

phased.CollectorNarrowband signal collector
phased.RadiatorNarrowband signal radiator
phased.WidebandCollectorWideband signal collector
phased.WidebandRadiatorWideband signal radiator
sensorsigSimulate received signal at sensor array
sensorcovSensor spatial covariance matrix

Transmitters and Receivers

phased.TransmitterTransmitter
phased.ReceiverPreampReceiver preamp
sensorsigSimulate received signal at sensor array
sensorcovSensor spatial covariance matrix
noisepowReceiver noise power
systempReceiver system-noise temperature
delayseqDelay or advance sequence

Waveform Design and Analysis

Pulsed Waveforms

phased.LinearFMWaveformLinear FM pulse waveform
phased.PhaseCodedWaveformPhase-coded pulse waveform
phased.RectangularWaveformRectangular pulse waveform
phased.SteppedFMWaveformStepped FM pulse waveform
spectrogramSpectrogram using short-time Fourier transform

Continuous Waveforms

phased.FMCWWaveformFMCW waveform
phased.MFSKWaveformMFSK waveform
spectrogramSpectrogram using short-time Fourier transform

Matched Filter and Ambiguity Function

phased.MatchedFilterMatched filter
ambgfunAmbiguity and crossambiguity function
pambgfunPeriodic ambiguity function
bw2rangeConvert bandwidth to range resolution
range2bwConvert range resolution to required bandwidth
range2timeConvert propagation distance to propagation time
time2rangeConvert propagation time to propagation distance
unigridUniform grid

Beamforming and Direction of Arrival Estimation

Beamforming

phased.LCMVBeamformerNarrowband LCMV beamformer
phased.MVDRBeamformerNarrowband minimum-variance distortionless-response beamformer
phased.PhaseShiftBeamformerNarrowband phase shift beamformer
phased.SteeringVectorSensor array steering vector
phased.FrostBeamformerFrost beamformer
phased.GSCBeamformerGeneralized sidelobe canceller beamformer
phased.SubbandMVDRBeamformerWideband minimum-variance distortionless-response beamformer
phased.SubbandPhaseShiftBeamformerSubband phase shift beamformer
phased.TimeDelayBeamformerTime delay beamformer
phased.TimeDelayLCMVBeamformerTime delay LCMV beamformer
cbfweightsConventional beamformer weights
lcmvweightsNarrowband linearly constrained minimum variance (LCMV) beamformer weights
mvdrweightsMinimum variance distortionless response (MVDR) beamformer weights
steervecSteering vector
az2broadsideConvert azimuth and elevation angle to broadside angle
broadside2azConvert broadside angle to azimuth angle
sensorcovSensor spatial covariance matrix
sensorsigSimulate received signal at sensor array
pilotcalibArray calibration using pilot sources

Direction of Arrival Estimation

phased.BeamscanEstimatorBeamscan spatial spectrum estimator for ULA
phased.BeamspaceESPRITEstimatorBeamspace ESPRIT direction of arrival (DOA) estimator for ULA
phased.ESPRITEstimatorESPRIT direction of arrival (DOA) estimator for ULA
phased.MVDREstimatorMVDR (Capon) spatial spectrum estimator for ULA
phased.MUSICEstimatorEstimate direction of arrival using narrowband MUSIC algorithm for ULA
phased.RootMUSICEstimatorRoot MUSIC direction of arrival (DOA) estimator for ULA and UCA
phased.RootWSFEstimatorRoot WSF direction of arrival (DOA) estimator for ULA
phased.SumDifferenceMonopulseTrackerSum and difference monopulse for ULA
phased.SumDifferenceMonopulseTracker2DSum and difference monopulse for URA
phased.BeamscanEstimator2D2-D beamscan spatial spectrum estimator
phased.GCCEstimatorWideband direction of arrival estimation
phased.MUSICEstimator2DEstimate 2D direction of arrival using narrowband MUSIC algorithm
phased.MVDREstimator2D2-D MVDR (Capon) spatial spectrum estimator
espritdoa Direction of arrival using TLS ESPRIT
gccphatGeneralized cross-correlation
musicdoaEstimate arrival directions of signals using MUSIC
rootmusicdoaDirection of arrival using Root MUSIC
spsmoothSpatial smoothing
aictestDimension of signal subspace
mdltestDimension of signal subspace
az2broadsideConvert azimuth and elevation angle to broadside angle
broadside2azConvert broadside angle to azimuth angle

Space-Time Adaptive Processing

phased.STAPSMIBeamformerSample matrix inversion (SMI) beamformer
phased.DPCACancellerDisplaced phase center array (DPCA) pulse canceller
phased.ADPCACancellerAdaptive DPCA (ADPCA) pulse canceller
phased.AngleDopplerResponseAngle-Doppler response
dopsteeringvecDoppler steering vector
val2indUniform grid index

Detection, Range and Doppler Estimation

Detection

phased.CFARDetectorConstant false alarm rate (CFAR) detector
phased.CFARDetector2DTwo-dimensional CFAR detector
phased.MatchedFilterMatched filter
phased.StretchProcessorStretch processor for linear FM waveform
phased.TimeVaryingGainTime varying gain control
albersheimRequired SNR using Albersheim’s equation
dechirpPerform dechirp operation on FMCW signal
npwgnthreshDetection SNR threshold for signal in white Gaussian noise
pulsintPulse integration
rocpfaReceiver operating characteristic curves by false-alarm probability
rocsnrReceiver operating characteristic curves by SNR
shnidmanRequired SNR using Shnidman’s equation
blakechartRange-angle-height (Blake) chart
bw2rangeConvert bandwidth to range resolution
physconstPhysical constants
radareqpowPeak power estimate from radar equation
radareqrngMaximum theoretical range estimate
radareqsnrSNR estimate from radar equation
radarvcdVertical coverage diagram
range2bwConvert range resolution to required bandwidth
bw2rangeConvert bandwidth to range resolution
physconstPhysical constants
range2bwConvert range resolution to required bandwidth
range2tlCompute underwater sound transmission loss from range
sonareqslCompute source level using the sonar equation
sonareqsnrCompute SNR using the sonar equation
sonareqtlCompute transmission loss using the sonar equation
tl2rangeCompute range from underwater transmission loss

Range and Doppler Estimation

phased.DopplerEstimatorDoppler estimation
phased.RangeDopplerResponseRange-Doppler response
phased.RangeEstimatorRange estimation
phased.RangeResponseRange response
beat2rangeConvert beat frequency to range
range2beatConvert range to beat frequency
rdcouplingRange Doppler coupling
stretchfreq2rngConvert frequency offset to range
blakechartRange-angle-height (Blake) chart
bw2rangeConvert bandwidth to range resolution
physconstPhysical constants
radareqpowPeak power estimate from radar equation
radareqrngMaximum theoretical range estimate
radareqsnrSNR estimate from radar equation
radarvcdVertical coverage diagram
range2bwConvert range resolution to required bandwidth
bw2rangeConvert bandwidth to range resolution
physconstPhysical constants
range2bwConvert range resolution to required bandwidth
range2tlCompute underwater sound transmission loss from range
sonareqslCompute source level using the sonar equation
sonareqsnrCompute SNR using the sonar equation
sonareqtlCompute transmission loss using the sonar equation
tl2rangeCompute range from underwater transmission loss

Visualization

phased.IntensityScopeRange-time-intensity (RTI) or Doppler-time-intensity (DTI) display

Targets and Environment

Targets and Interference

phased.RadarTargetRadar target
phased.BackscatterRadarTargetBackscatter radar target
phased.BackscatterSonarTargetSonar target backscatter
phased.WidebandBackscatterRadarTargetBackscatter wideband signal from radar target
phased.BarrageJammerBarrage jammer
phased.ConstantGammaClutterConstant gamma clutter simulation
phased.gpu.ConstantGammaClutterConstant gamma clutter simulation on GPU
phased.UnderwaterRadiatedNoiseRadiate acoustic noise from underwater or surface sound source
billingsleyicmBillingsley’s intrinsic clutter motion (ICM) model
depressionangDepression angle of surface target
grazingangGrazing angle of surface target
horizonrangeHorizon range
physconstPhysical constants
surfacegammaGamma value for different terrains
surfclutterrcsSurface clutter radar cross section (RCS)

Signal Propagation

phased.FreeSpaceFree space environment
phased.LOSChannelNarrowband LOS propagation channel
phased.TwoRayChannelTwo-ray propagation channel
phased.ScatteringMIMOChannelScattering MIMO channel
phased.IsoSpeedUnderwaterPathsIsospeed multipath sonar channel
phased.MultipathChannelPropagate signals in multipath channel
phased.WidebandFreeSpaceWideband freespace propagation
phased.WidebandLOSChannelWideband LOS propagation channel
phased.WidebandTwoRayChannelWideband two-ray propagation channel
diagbfweightsDiagonalize MIMO channel
fogplRF signal attenuation due to fog and clouds
fsplFree space path loss
gasplRF signal attenuation due to atmospheric gases
rainplRF signal attenuation due to rainfall
rangeangleRange and angle calculation
scatteringchanmtxScattering channel matrix
waterfillWaterfill MIMO power distribution
effearthradiusEffective earth radius
physconstPhysical constants

Motion Modeling and Coordinate Systems

phased.PlatformModel platform motion
phased.ScenarioViewerDisplay motion of radars and targets
dop2speedConvert Doppler shift to speed
speed2dopConvert speed to Doppler shift
radialspeedRelative radial speed
rangeangleRange and angle calculation
global2localcoordConvert global to local coordinates
local2globalcoordConvert local to global coordinates
rotxRotation matrix for rotations around x-axis
rotyRotation matrix for rotations around y-axis
rotzRotation matrix for rotations around z-axis
cart2sphvecConvert vector from Cartesian components to spherical representation
sph2cartvecConvert vector from spherical basis components to Cartesian components
azelaxesSpherical basis vectors in 3-by-3 matrix form
uv2azelConvert u/v coordinates to azimuth/elevation angles
azel2uvConvert azimuth/elevation angles to u/v coordinates
phitheta2azelConvert angles from phi/theta form to azimuth/elevation form
azel2phithetaConvert angles from azimuth/elevation form to phi/theta form
uv2phithetaConvert u/v coordinates to phi/theta angles
phitheta2uvConvert phi/theta angles to u/v coordinates

Algorithm Acceleration

GPU Computing

phased.gpu.ConstantGammaClutterConstant gamma clutter simulation on GPU
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