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comm.ThermalNoise

Add thermal noise to signal

Description

The comm.ThermalNoise System object™ object simulates the effects of thermal noise on a complex baseband signal. For more information, see Algorithms.

To add thermal noise to a complex baseband signal:

  1. Create the comm.ThermalNoise object and set its properties.

  2. Call the object with arguments, as if it were a function.

To learn more about how System objects work, see What Are System Objects?

Creation

Description

noise = comm.ThermalNoise creates a receiver thermal noise System object. This object adds thermal noise to the complex baseband input signal.

example

noise = comm.ThermalNoise(Name=Value) sets properties using one or more name-value arguments. For example, SampleRate=2 sets the input signal sample rate to 2.

Properties

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Unless otherwise indicated, properties are nontunable, which means you cannot change their values after calling the object. Objects lock when you call them, and the release function unlocks them.

If a property is tunable, you can change its value at any time.

For more information on changing property values, see System Design in MATLAB Using System Objects.

Method used to set the noise power, specified as 'Noise temperature', 'Noise figure', or 'Noise factor'.

Receiver noise temperature, specified in kelvins as a nonnegative scalar. Noise temperature is typically used to characterize receivers because the input noise temperature can vary and is often less than 290 K.

Tunable: Yes

Dependencies

This property applies when you set NoiseMethod to 'Noise temperature'.

Data Types: double | single

Noise figure in dB, specified as a nonnegative scalar. Noise figure describes the performance of a receiver and does not include the effect of the antenna. It is defined only for an input noise temperature of 290 K. The noise figure is the dB equivalent of the noise factor.

Tunable: Yes

Dependencies

This property applies when you set NoiseMethod to 'Noise figure'.

Data Types: double | single

Noise factor, specified as a scalar greater than or equal to 1. Noise factor describes the performance of a receiver and does not include the effect of the antenna. It is defined only for an input noise temperature of 290 K. The noise factor is the linear equivalent of the noise figure.

Tunable: Yes

Dependencies

This property applies when you set NoiseMethod to 'Noise factor'.

Data Types: double | single

Reference load in ohms, specified as a positive scalar. The reference load value is used to compute the voltage levels based on the signal and noise power levels.

Tunable: Yes

Data Types: double | single

Sample rate in Hz, specified as a positive scalar. The object computes the variance of the noise added to the input signal as kT×SampleRate×ReferenceLoad. The value k is Boltzmann's constant and T is the noise temperature specified explicitly or implicitly via one of the noise methods.

Data Types: double | single

Option to add 290 K antenna noise to the input signal, specified as a logical 0 (false) or 1 (true). To add 290 K antenna noise, set this property to true. The total noise applied to the input signal is the sum of the circuit noise and the antenna noise.

Dependencies

To enable this property, set the NoiseMethod property to 'Noise factor' or 'Noise figure'.

Data Types: logical

Usage

Description

outsignal = noise(insignal) adds thermal noise to the complex baseband input signal insignal and returns the result in outsignal.

Input Arguments

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Baseband signal, specified as a complex-valued scalar, NS-element column vector, or NS-by-NC matrix. NS is the number of samples and NC is the number of channels.

Data Types: double | single
Complex Number Support: Yes

Output Arguments

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Output signal, returned as a scalar, column vector, or matrix of complex values with the same length and data type as the input signal.

Data Types: double | single
Complex Number Support: Yes

Object Functions

To use an object function, specify the System object as the first input argument. For example, to release system resources of a System object named obj, use this syntax:

release(obj)

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infoCharacteristic information about thermal noise object
stepRun System object algorithm
releaseRelease resources and allow changes to System object property values and input characteristics
resetReset internal states of System object

Examples

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Create a thermal noise object with a noise temperature of 290 K and a sample rate of 5 MHz.

thNoise = comm.ThermalNoise('NoiseTemperature',290,'SampleRate',5e6);

Generate QPSK modulated data with an output power of 20 dBm.

data = randi([0 3],1000,1);
modData = (10^((20-30)/20)) * pskmod(data,4,pi/4);

Attenuate the signal by the free space path loss assuming a 1000 m link distance and a carrier frequency of 2 GHz.

d = 1000;                    % m  
f = 2e9;                     % Hz
c = 3e8;                     % m/s 
fsl = (4*pi*d*f/c)^2;
rxData = modData/sqrt(fsl);

Add thermal noise to the signal. Plot the noisy constellation.

noisyData = thNoise(rxData);
scatterplot(noisyData)

Figure Scatter Plot contains an axes object. The axes object with title Scatter plot, xlabel In-Phase, ylabel Quadrature contains a line object which displays its values using only markers. This object represents Channel 1.

Create a thermal noise object with a 5 dB noise figure and a 10 MHz sample rate. Include 290 K antenna noise.

thermalNoise = comm.ThermalNoise('NoiseMethod','Noise figure', ...
    'NoiseFigure',5, ...
    'SampleRate',10e6, ...
    'Add290KAntennaNoise',true);

Generate QPSK modulated data with an output power of 1 W.

data = randi([0 15],1000,1);
modSig = qammod(data,16,'UnitAveragePower',true);

Attenuate the signal by the free space path loss assuming a 1 km link distance and a 5 GHz carrier frequency.

d = 1000;                   % m
f = 5e9;                    % Hz
c = 3e8;                    % m/s
fsl = (4*pi*d*f/c)^2;
rxSig = modSig/sqrt(fsl);

Add thermal noise to the signal and plot its constellation.

noisySig = thermalNoise(rxSig);
scatterplot(noisySig)

Figure Scatter Plot contains an axes object. The axes object with title Scatter plot, xlabel In-Phase, ylabel Quadrature contains a line object which displays its values using only markers. This object represents Channel 1.

Estimate the SNR.

mer = comm.MER;
snrEst1 = mer(rxSig,noisySig)
snrEst1 = 22.6611

Decrease the noise figure to 0 dB and plot the resultant received signal. The signal is not completely noiseless because antenna noise is included.

thermalNoise.NoiseFigure = 0;
noisySig = thermalNoise(rxSig);
scatterplot(noisySig)

Figure Scatter Plot contains an axes object. The axes object with title Scatter plot, xlabel In-Phase, ylabel Quadrature contains a line object which displays its values using only markers. This object represents Channel 1.

Estimate the SNR. The SNR is 5 dB higher than in the first case, which is expected given the 5 dB decrease in the noise figure.

snrEst2 = mer(rxSig,noisySig)
snrEst2 = 27.8658
snrEst2 - snrEst1
ans = 5.2047

Apply thermal noise to a multichannel signal and confirm that each channel has the same noise floor as returned by the info object function.

Create a comm.ThermalNoise object.

tn = comm.ThermalNoise
tn = 
  comm.ThermalNoise with properties:

         NoiseMethod: 'Noise temperature'
    NoiseTemperature: 290
       ReferenceLoad: 1
          SampleRate: 1

Apply thermal noise to a multichannel signal and compute the signal variance for each channel.

x = tn(zeros(100000,3,'like',1i)); 
10*log10(var(x))
ans = 1×3

 -203.9973 -203.9684 -203.9802

Use the info object function to return the receiver thermal noise floor.

info(tn)
ans = struct with fields:
    NoiseFloor: -203.9752

Algorithms

Wireless receiver performance is often expressed as a noise factor or figure. The noise factor, F, is defined as the ratio of the input signal-to-noise ratio, Si/Ni to the output signal-to-noise ratio, So/No, such that

F=Si/NiSo/No.

Given the receiver gain G and receiver noise power Nckt, the noise factor can be expressed as

F=Si/NiGSi/(Nckt+GNi)=Nckt+GNiGNi.

The IEEE® defines the noise factor assuming that noise temperature at the input is T0, where T0 = 290 K. The noise factor is then

F=Nckt+GNiGNi=GkBTckt+GkBT0GkBT0=Tckt+T0T0.

k is Boltzmann's constant. B is the signal bandwidth. Tckt is the equivalent input noise temperature of the receiver and is expressed as

Tckt=T0(F1).

The overall noise temperature of an antenna and receiver Tsys is

Tsys=Tant+Tckt,

where Tant is the antenna noise temperature.

The noise figure NF is the dB equivalent of the noise factor and can be expressed as

NF=10log10(F).

The noise power can be expressed as

N=kTB=V2/R,

where V is the noise voltage expressed as

V2=kTBR,

and R is the reference load.

Extended Capabilities

Version History

Introduced in R2012a

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