The `phased.BarrageJammer`

object models a broadband
jammer. The output of `phased.BarrageJammer`

is a complex
white Gaussian noise sequence. The modifiable properties of the barrage
jammer are:

`ERP`

— Effective radiated power in watts`SamplesPerFrameSource`

— Source of number of samples per frame`SamplesPerFrame`

— Number of samples per frame`SeedSource`

— Source of seed for random number generator`Seed`

— Seed for random number generator

The real and imaginary parts of the complex
white Gaussian noise sequence each have variance equal to 1/2 the
effective radiated power in watts. Denote the effective radiated power
in watts by *P*. The barrage jammer output is:

$$w[n]=\sqrt{{\scriptscriptstyle \frac{P}{2}}}x[n]+j\sqrt{{\scriptscriptstyle \frac{P}{2}}}y[n]$$

In this equation, `x[n]`

and `y[n]`

are
uncorrelated sequences of zero-mean Gaussian random variables with
unit variance.

This example examines the statistical properties of the barrage jammer output and how they relate to the effective radiated power *(ERP)*. Create a barrage jammer using an effective radiated power of 5000 watts. Generate output at 500 samples per frame. Then call the `step`

function once to generate a single frame of complex data. Using the `histogram`

function, show the distribution of barrage jammer output values. The `BarrageJammer`

System object uses a random number generator. In this example, the random number generator seed is fixed for illustrative purposes and can be removed.

**Note:** This example runs only in R2016b or later. If you are using an earlier release, replace each call to the function with the equivalent `step`

syntax. For example, replace `myObject(x)`

with `step(myObject,x)`

.

rng default jammer = phased.BarrageJammer('ERP',5000,... 'SamplesPerFrame',500); y = jammer(); subplot(2,1,1) histogram(real(y)) title('Histogram of Real Part') subplot(2,1,2) histogram(imag(y)) title('Histogram of Imaginary Part') xlabel('Watts')

The mean values of the real and imaginary parts are

mean(real(y)) mean(imag(y))

ans = -1.0961 ans = -2.1671

which are effectively zero. The standard deviations of the real and imaginary parts are

std(real(y)) std(imag(y))

ans = 50.1950 ans = 49.7448

which agree with the predicted value of .

This example demonstrates how to simulate the effect of a barrage jammer on a target echo. First, create the required objects. You need an array, a transmitter, a radiator, a target, a jammer, a collector, and a receiver. Additionally, you need to define two propagation paths: one from the array to the target and back, and the other path from the jammer to the array.

**Note:** This example runs only in R2016b or later. If you are using an earlier release, replace each call to the function with the equivalent `step`

syntax. For example, replace `myObject(x)`

with `step(myObject,x)`

.

antenna = phased.ULA(4); Fs = 1e6; fc = 1e9; rng('default') waveform = phased.RectangularWaveform('PulseWidth',100e-6,... 'PRF',1e3,'NumPulses',5,'SampleRate',Fs); transmitter = phased.Transmitter('PeakPower',1e4,'Gain',20,... 'InUseOutputPort',true); radiator = phased.Radiator('Sensor',antenna,'OperatingFrequency',fc); jammer = phased.BarrageJammer('ERP',1000,... 'SamplesPerFrame',waveform.NumPulses*waveform.SampleRate/waveform.PRF); target = phased.RadarTarget('Model','Nonfluctuating',... 'MeanRCS',1,'OperatingFrequency',fc); targetchannel = phased.FreeSpace('TwoWayPropagation',true,... 'SampleRate',Fs,'OperatingFrequency', fc); jammerchannel = phased.FreeSpace('TwoWayPropagation',false,... 'SampleRate',Fs,'OperatingFrequency', fc); collector = phased.Collector('Sensor',antenna,... 'OperatingFrequency',fc); amplifier = phased.ReceiverPreamp('EnableInputPort',true);

Assume that the array, target, and jammer are stationary. The array is located at the global origin, *(0,0,0)*. The target is located at *(1000,500,0)*, and the jammer is located at *(2000,2000,100)*. Determine the directions from the array to the target and jammer.

targetloc = [1000 ; 500; 0]; jammerloc = [2000; 2000; 100]; [~,tgtang] = rangeangle(targetloc); [~,jamang] = rangeangle(jammerloc);

Finally, transmit the rectangular pulse waveform to the target, reflect it off the target, and collect the echo at the array. Simultaneously, the jammer transmits a jamming signal toward the array. The jamming signal and echo are mixed at the receiver. Generate waveform

wav = waveform(); % Transmit waveform [wav,txstatus] = transmitter(wav); % Radiate pulse toward the target wav = radiator(wav,tgtang); % Propagate pulse toward the target wav = targetchannel(wav,[0;0;0],targetloc,[0;0;0],[0;0;0]); % Reflect it off the target wav = target(wav); % Collect the echo wav = collector(wav,tgtang);

Generate the jamming signal

jamsig = jammer(); % Propagate the jamming signal to the array jamsig = jammerchannel(jamsig,jammerloc,[0;0;0],[0;0;0],[0;0;0]); % Collect the jamming signal jamsig = collector(jamsig,jamang); % Receive target echo alone and target echo + jamming signal pulsewave = amplifier(wav,~txstatus); pulsewave_jamsig = amplifier(wav + jamsig,~txstatus);

Plot the result, and compare it with received waveform with and without jamming.

subplot(2,1,1) t = unigrid(0,1/Fs,size(pulsewave,1)*1/Fs,'[)'); plot(t*1000,abs(pulsewave(:,1))) title('Magnitudes of Pulse Waveform Without Jamming--Element 1') ylabel('Magnitude') subplot(2,1,2) plot(t*1000,abs(pulsewave_jamsig(:,1))) title('Magnitudes of Pulse Waveform with Jamming--Element 1') xlabel('millisec') ylabel('Magnitude')

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