System object: phased.TimeDelayBeamformer
Package: phased

Perform time delay beamforming


Y = step(H,X)
Y = step(H,X,ANG)
[Y,W] = step(___)


Y = step(H,X) performs time delay beamforming on the input, X, and returns the beamformed output in Y. X is an M-by-N matrix where N is the number of elements of the sensor array. Y is a column vector of length M.

Y = step(H,X,ANG) uses ANG as the beamforming direction. This syntax is available when you set the DirectionSource property to'Input port'. ANG is a column vector of length 2 in the form of [AzimuthAngle; ElevationAngle] (in degrees). The azimuth angle must be between –180 and 180 degrees, and the elevation angle must be between –90 and 90 degrees.

[Y,W] = step(___) returns additional output, W, as the beamforming weights. This syntax is available when you set the WeightsOutputPort property to true. W is a column vector of length N. For a time delay beamformer, the weights are constant because the beamformer simply adds all the channels together and scales the result to preserve the signal power.

    Note:   The object performs an initialization the first time the step method is executed. This initialization locks nontunable properties and input specifications, such as dimensions, complexity, and data type of the input data. If you change a nontunable property or an input specification, the System object™ issues an error. To change nontunable properties or inputs, you must first call the release method to unlock the object.


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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)')

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