Sensor array gain
ArrayGain object calculates the array gain
for a sensor array. The array
gain is defined as the signal to noise ratio (SNR) improvement
between the array output and the individual channel input, assuming
the noise is spatially white. It is related to the array response
but is not the same.
To compute the SNR gain of the antenna for specified directions:
Define and set up your array gain calculator. See Construction.
step to estimate the gain
according to the properties of
The behavior of
step is specific to each object in
Starting in R2016b, instead of using the
H = phased.ArrayGain creates an array gain System object,
This object calculates the array gain of a 2-element uniform linear
array for specified directions.
H = phased.ArrayGain( creates
and array-gain object,
H, with the specified
property Name set to the specified Value. You can specify additional
name-value pair arguments in any order as (
Sensor array specified as an array System object belonging
Signal propagation speed
Specify the propagation speed of the signal, in meters per second, as a positive scalar.
Default: Speed of light
Add input to specify weights
To specify weights, set this property to
|clone||Create array gain object with same property values|
|getNumInputs||Number of expected inputs to step method|
|getNumOutputs||Number of outputs from step method|
|isLocked||Locked status for input attributes and nontunable properties|
|release||Allow property value and input characteristics changes|
|step||Calculate array gain of sensor array|
The array gain is defined as the signal to noise ratio (SNR) improvement between the array output and the individual channel input, assuming the noise is spatially white. You can express the array gain as follows:
In this equation:
w is the vector of weights applied
on the sensor array. When you use
you can optionally specify weights by setting the
true and specifying the
step method syntax.
v is the steering vector representing
the array response toward a given direction. When you call the
ANG argument specifies the direction.
s is the input signal power.
N is the noise power.
H denotes the complex conjugate transpose.
For example, if a rectangular taper is used in the array, the array gain is the square of the array response normalized by the number of elements in the array.
Calculate the array gain for a uniform linear array at the direction of 30 degrees azimuth and 20 degrees elevation. The array operating frequency is 300 MHz.
ha = phased.ULA(4); hag = phased.ArrayGain('SensorArray',ha); g = step(hag,3e8,[30;20]);
 Guerci, J. R. Space-Time Adaptive Processing for Radar. Boston: Artech House, 2003.
 Van Trees, H. Optimum Array Processing. New York: Wiley-Interscience, 2002.