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Phased Array System Toolbox Functions

Alphabetical List By Category

Phased Array Design and Analysis

Antenna and Microphone Elements

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
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

Array Geometries and Analysis

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 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

Signal Radiation and Collection

phased.Collector Narrowband signal collector
phased.Radiator Narrowband signal radiator
phased.WidebandCollector Wideband signal collector
phased.WidebandRadiator Wideband signal radiator
sensorsig Simulate received signal at sensor array
sensorcov Sensor spatial covariance matrix

Transmitters and Receivers

phased.Transmitter Transmitter
phased.ReceiverPreamp Receiver preamp
sensorsig Simulate received signal at sensor array
sensorcov Sensor spatial covariance matrix
noisepow Receiver noise power
systemp Receiver system-noise temperature
delayseq Delay or advance sequence

Waveform Design and Analysis

Pulsed Waveforms

phased.LinearFMWaveform Linear FM pulse waveform
phased.PhaseCodedWaveform Phase-coded pulse waveform
phased.RectangularWaveform Rectangular pulse waveform
phased.SteppedFMWaveform Stepped FM pulse waveform
spectrogram Spectrogram using short-time Fourier transform

Continuous Waveforms

phased.FMCWWaveform FMCW waveform
phased.MFSKWaveform MFSK waveform
spectrogram Spectrogram using short-time Fourier transform

Matched Filter and Ambiguity Function

phased.MatchedFilter Matched filter
ambgfun Ambiguity and crossambiguity function
pambgfun Periodic ambiguity function
range2bw Convert range resolution to required bandwidth
range2time Convert propagation distance to propagation time
time2range Convert propagation time to propagation distance
unigrid Uniform grid

Beamforming and Direction of Arrival Estimation

Beamforming

phased.LCMVBeamformer Narrowband LCMV beamformer
phased.MVDRBeamformer Narrowband MVDR (Capon) beamformer
phased.PhaseShiftBeamformer Narrowband phase shift beamformer
phased.SteeringVector Sensor array steering vector
phased.FrostBeamformer Frost beamformer
phased.GSCBeamformer Generalized sideband canceller
phased.SubbandMVDRBeamformer Subband MVDR (Capon) beamformer
phased.SubbandPhaseShiftBeamformer Subband phase shift beamformer
phased.TimeDelayBeamformer Time delay beamformer
phased.TimeDelayLCMVBeamformer Time delay LCMV beamformer
cbfweights Conventional beamformer weights
lcmvweights Narrowband linearly constrained minimum variance (LCMV) beamformer weights
mvdrweights Minimum variance distortionless response (MVDR) beamformer weights
steervec Steering vector
az2broadside Convert azimuth angle to broadside angle
broadside2az Convert broadside angle to azimuth angle
sensorcov Sensor spatial covariance matrix
sensorsig Simulate received signal at sensor array
pilotcalib Array calibration using pilot sources

Direction of Arrival (DOA) Estimation

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
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
phased.BeamscanEstimator2D 2-D beamscan spatial spectrum estimator
phased.GCCEstimator Wideband direction of arrival estimation
phased.MUSICEstimator2D Estimate 2D direction of arrival using narrowband MUSIC algorithm
phased.MVDREstimator2D 2-D MVDR (Capon) spatial spectrum estimator
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
aictest Dimension of signal subspace
mdltest Dimension of signal subspace
az2broadside Convert azimuth angle to broadside angle
broadside2az Convert broadside angle to azimuth angle

Space-Time Adaptive Processing (STAP)

phased.STAPSMIBeamformer Sample matrix inversion (SMI) beamformer
phased.DPCACanceller Displaced phase center array (DPCA) pulse canceller
phased.ADPCACanceller Adaptive DPCA (ADPCA) pulse canceller
phased.AngleDopplerResponse Angle-Doppler response
dopsteeringvec Doppler steering vector
val2ind Uniform grid index

Detection, Range and Doppler Estimation

Detection

phased.CFARDetector Constant false alarm rate (CFAR) detector
phased.CFARDetector2D Two-dimensional CFAR detector
phased.MatchedFilter Matched filter
phased.StretchProcessor Stretch processor for linear FM waveform
phased.TimeVaryingGain Time varying gain control
albersheim Required SNR using Albersheim's equation
dechirp Perform dechirp operation on FMCW signal
npwgnthresh Detection SNR threshold for signal in white Gaussian noise
pulsint Pulse integration
rocpfa Receiver operating characteristic curves by false-alarm probability
rocsnr Receiver operating characteristic curves by SNR
shnidman Required SNR using Shnidman's equation
blakechart Range-angle-height (Blake) chart
physconst Physical constants
radareqpow Peak power estimate from radar equation
radareqrng Maximum theoretical range estimate
radareqsnr SNR estimate from radar equation
radarvcd Vertical coverage diagram

Range and Doppler Estimation

phased.RangeDopplerResponse Range-Doppler response
beat2range Convert beat frequency to range
range2beat Convert range to beat frequency
rdcoupling Range Doppler coupling
stretchfreq2rng Convert frequency offset to range
blakechart Range-angle-height (Blake) chart
physconst Physical constants
radareqpow Peak power estimate from radar equation
radareqrng Maximum theoretical range estimate
radareqsnr SNR estimate from radar equation
radarvcd Vertical coverage diagram

Visualization

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

Targets and Environment

Targets and Interference

phased.RadarTarget Radar target
phased.BackscatterRadarTarget Backscatter radar target
phased.WidebandBackscatterRadarTarget Backscatter wideband signal from radar target
phased.BarrageJammer Barrage jammer
phased.ConstantGammaClutter Constant gamma clutter simulation
phased.gpu.ConstantGammaClutter Constant gamma clutter simulation on GPU
billingsleyicm Billingsley's intrinsic clutter motion (ICM) model
depressionang Depression angle of surface target
grazingang Grazing angle of surface target
horizonrange Horizon range
physconst Physical constants
surfacegamma Gamma value for different terrains
surfclutterrcs Surface clutter radar cross section (RCS)

Signal Propagation

phased.FreeSpace Free space environment
phased.LOSChannel Narrowband LOS propagation channel
phased.TwoRayChannel Two-ray propagation channel
phased.WidebandFreeSpace Wideband freespace propagation
phased.WidebandLOSChannel Wideband LOS propagation channel
phased.WidebandTwoRayChannel Wideband two-ray propagation channel
fogpl RF signal attenuation due to fog and clouds
fspl Free space path loss
gaspl RF signal attenuation due to atmospheric gases
rainpl RF signal attenuation due to rainfall
rangeangle Range and angle calculation
effearthradius Effective earth radius
physconst Physical constants

Motion Modeling and Coordinate Systems

phased.Platform Model platform motion
phased.ScenarioViewer Display motion of radars and targets
dop2speed Convert Doppler shift to speed
speed2dop Convert speed to Doppler shift
radialspeed Relative radial speed
rangeangle Range and angle calculation
global2localcoord Convert global to local coordinates
local2globalcoord Convert local to global coordinates
rotx Rotation matrix for rotations around x-axis
roty Rotation matrix for rotations around y-axis
rotz Rotation matrix for rotations around z-axis
cart2sphvec Convert vector from Cartesian components to spherical representation
sph2cartvec Convert vector from spherical basis components to Cartesian components
azelaxes Spherical basis vectors in 3-by-3 matrix form
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

Algorithm Acceleration

GPU Computing

phased.gpu.ConstantGammaClutter Constant gamma clutter simulation on GPU
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