phased.TimeDelayBeamformer System object

Package: phased

Time delay beamformer


The TimeDelayBeamformer object implements a time delay beamformer.

To compute the beamformed signal:

  1. Define and set up your time delay beamformer. See Construction.

  2. Call step to perform the beamforming operation according to the properties of phased.TimeDelayBeamformer. The behavior of step is specific to each object in the toolbox.


H = phased.TimeDelayBeamformer creates a time delay beamformer System object™, H. The object performs delay and sum beamforming on the received signal using time delays.

H = phased.TimeDelayBeamformer(Name,Value) creates a time delay beamformer object, H, with each specified property Name set to the specified Value. You can specify additional name-value pair arguments in any order as (Name1,Value1,...,NameN,ValueN).



Handle to sensor array

Specify the sensor array as a handle. The sensor array must be an array object in the phased package. The array cannot contain subarrays.

Default: phased.ULA with default property values


Signal propagation speed

Specify the propagation speed of the signal, in meters per second, as a positive scalar.

Default: Speed of light


Signal sampling rate

Specify the signal sampling rate (in hertz) as a positive scalar.

Default: 1e6


Source of beamforming direction

Specify whether the beamforming direction comes from the Direction property of this object or from an input argument in step. Values of this property are:

'Property'The Direction property of this object specifies the beamforming direction.
'Input port'An input argument in each invocation of step specifies the beamforming direction.

Default: 'Property'


Beamforming direction

Specify the beamforming direction of the beamformer as a column vector of length 2. The direction is specified in the format of [AzimuthAngle; ElevationAngle] (in degrees). The azimuth angle should be between –180 and 180. The elevation angle should be between –90 and 90. This property applies when you set the DirectionSource property to 'Property'.

Default: [0; 0]


Output beamforming weights

To obtain the weights used in the beamformer, set this property to true and use the corresponding output argument when invoking step. If you do not want to obtain the weights, set this property to false.

Default: false


cloneCreate time delay beamformer object with same property values
getNumInputsNumber of expected inputs to step method
getNumOutputsNumber of outputs from step method
isLockedLocked status for input attributes and nontunable properties
releaseAllow property value and input characteristics changes
stepPerform time delay beamforming


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Time-Delay Beamformer Applied to ULA

Apply a time-delay beamformer to an 11-element uniform linear acoustic array. The arrival angle of the signal is -50 degrees in azimuth and 30 degrees in elevation. The arriving signal is a 0.3 second segment of a linear FM chirp having a 500 Hz bandwidth. Assume the speed of sound in air is 340.0 m/s.

Simulate the arriving signal at the wideband collector.

sIso = phased.CustomMicrophoneElement('FrequencyVector',[20,20000],'FrequencyResponse',[1,1]);
sULA = phased.ULA('Element',sIso,'NumElements',11,'ElementSpacing',0.04);
fs = 8000;
t = 0:1/fs:0.3;
x = chirp(t,0,1,500);
c = 340;
sWBC = phased.WidebandCollector('Sensor',sULA,...
incidentAngle = [-50;30];
x = step(sWBC,x.',incidentAngle);

Add white gaussian random noise to the signal.

sigma = 0.2;
noise = sigma*randn(size(x));
rx = x + noise;

Beamform the incident signals using a time-delay beamformer.

sBF = phased.TimeDelayBeamformer('SensorArray',sULA,...
y = step(sBF,rx);

Plot the beamformed signal against the incident signal at the middle sensor of the array.

xlabel('Time (sec)')

Related Examples


[1] Van Trees, H. Optimum Array Processing. New York: Wiley-Interscience, 2002.

Introduced in R2012a

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