phased.Receiver

Receiver

Since R2024a

Description

The phased.Receiver System object™ models a multichannel receiver. The object supports system-level multi-channel receiver chains that include impairments such as nonlinear gain, system noise, and phase offsets.

To create a receiver

Create the phased.Receiver object and set its properties.
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

Syntax

recvr = phased.Receiver

recvr = phased.Receiver(Name=Value)

Description

recvr = phased.Receiver creates a receiver System object, recvr.

example

recvr = phased.Receiver(Name=Value) creates a receiver System object recvr 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).

Properties

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The order that receiver effects are applied to the signal is fixed. The following list describes the order in which effects are applied to the input signal. All properties need not be included but if they are, they will be applied in this order regardless of the order in which their properties are listed::

System noise is added according to the method specified in NoiseMethod property.
The signal gain is applied according to the method specified in GainMethod property. This gain may be linear or non-linear as a function of input power.
A phase offset is added to the signal according to the PhaseOffset property.

Properties can be applied to N channels by specifying properties as an N-element vector. If a property is specified as a scalar, it will be expanded to match the size of vector properties. Scalars are expanded to length-N vectors containing the scalar value.

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.

`EnableInputPort` — Enable receiver input port
`false` (default) | `true`

Set this property to true to allow the receiver to accept input when the enabling signal, EN, argument is on.

Example: EnableInputPort=true

Data Types: logical

`AddInputNoise` — Add noise to input signal
`false` (default) | `true`

If set to true, noise is added to the input signal prior to applying receiver effects. The InputNoiseTemperature property determines the power of the added noise. The SampleRate property determines the noise bandwidth.

Example: true

Data Types: logical

`InputNoiseTemperature` — Input noise temperature
`290` (default) | positive scalar | length-N vector of positive values

Input noise temperature, specified as a positive scalar or length-N vector of positive values where N is the number of receiver channels. If InputNoiseTemperature is a scalar, the same value is applied to all channels. Units are in Kelvin degrees.

All properties

Example: 300

Dependencies

To enable this property, set the AddInputNoise property to true.

Data Types: single | double

`NoiseMethod` — Noise method
`'Noise figure'` (default) | `'None'` | `'Noise factor'` | `'Noise temperature'`

Method for defining the system noise, specified as 'None', 'Noise figure', 'Noise factor' or 'Noise temperature'.

When set to'None', no noise is applied.
When set to 'Noise figure', the NoiseFigure property determines the noise level.
When set to 'Noise temperature', the NoiseTemperature property determines the noise level.
When set to 'Noise factor', the NoiseFactor property determines the noise level.

The noise bandwidth is derived from the input signal sample rate.

Example: 'Noise figure'

Data Types: char | string

`NoiseFigure` — Noise figure
`3` (default) | real scalar | length-N vector or real values

Receiver noise figure, specified as a real scalar or length-N vector of real values. N is the number of channels. If NoiseFigure is a scalar, the same value is applied to all channels. Noise is generated with respect to the temperature defined by the ReferenceTemperature property.

Dependencies

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

Data Types: single | double

`NoiseFactor` — Noise factor
`2` (default) | positive scalar | length-N vector of positive values

Receiver noise factor, specified as a positive scalar or length-N vector of positive values. N is the number of channels. If NoiseFactor is a scalar, the same value is applied to all channels. Noise is generated with respect to the temperature defined by the ReferenceTemperature property.

Dependencies

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

Data Types: single | double

`NoiseTemperature` — Equivalent noise temperature
`290` (default) | positive scalar | length-N vector of positive values

Equivalent noise temperature, specified as a positive scalar or length-N vector of positive values. N is the number of channels. If NoiseTemperature is a scalar, the same value is applied to all channels. Units are in K.

Dependencies

To enable this property, set the NoiseMethod to 'Noise temperature'.

Data Types: single | double

`ReferenceTemperature` — Reference temperature
`290` (default) | positive scalar | length-N vector of positive values

Reference temperature, specified as a positive scalar or a length-N vector of positive values. N is the number of channels. If ReferenceTemperature is a scalar, the same value is applied to all channels.

Dependencies

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

Data Types: single | double

`SampleRate` — Sample rate
`1e6` (default) | positive scalar

Sample rate of the input signal, specified as a positive scalar. Use this property to add noise to the signal. The SampleRate is only used to derive the noise bandwidth of the signal.

Dependencies

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

Data Types: single | double

`GainMethod` — Gain method
`'Linear'` (default) | `'Cubic polynomial'` | `'Lookup table'`

Method for applying gain to the received signal, specified as 'Linear', 'Cubic polynomial' or 'Lookup table'.

When set to 'Linear', linear gain is applied.
When set to 'Cubic polynomial', a cubic polynomial model is used to apply non-linear gain.
When set to 'Lookup Table', a lookup table is defined to directly specify output power and phase shift as a function of input power.

Data Types: char | string

`Gain` — Receiver gain
`20` (default) | real scalar | length-N vector of real values

Linear receiver gain, specified as a real scalar or length-N vector of real values. N is the number of channels. If Gain is a scalar, the same value is applied to all channels. Units are in dB.

Dependencies

To enable this property, set the GainMethod property to 'Linear' or 'Cubic polynomial'.

Data Types: single | double

`OIP3` — Output IP3
`Inf` (default) | scalar | length-N vector of real values

Output third-order intercept point (OIP3). specified as a scalar or length-N vector of real values. N is the number of channels. OIP3 expresses the non-linearity of the transmitter or receiver. If OIP3 is a scalar, the same value is applied to all channels. See Nonlinearities and Noise in Idealized Baseband Amplifier Block (RF Blockset) for a detailed discussion of OIP3. Units are in dBm.

Dependencies

To enable this property, set the GainMethod property to 'Cubic polynomial'.

Data Types: single | double

`Table` — AM/AM-AM/PM lookup table
`[-25, 5, -1; -10, 20, -2; 0, 27, 5; 5, 28, 12]` (default) | M-by-N real-valued matrix | M-by-N real-valued matrix

AM/AM-AM/PM lookup table, specified as a 3-by-M-by-N real-valued array. The lookup table specifies amplifier power characteristics. M is the number of table entries and N is the number of channels. Each row in the table expresses the relationship between output power or phase change as a function of input power. Specify AM/AM (in dB/dB) and AM/PM (in deg/dB) characteristics in a [Pin(dBm),Pout(dBm),Phase shift(degrees)]-by-M matrix or [Pin(dBm),Pout(dBm),Phase shift(degrees)]-by-M-by-N array. Use the table to linear interpolate or extrapolate power values. The column 1 input power must increase monotonically. There must be at least 3 rows in the table. The power output can be written as:

$u_{o u t} = T_{A M - A M} (| u |) e^{T_{A M - P M} (| u | + ∠ u)}$

Dependencies

To enable this property, set the GainMethod property to 'Lookup table'.

Data Types: single | double

`PhaseOffset` — Phase offset
`0` (default) | scalar | length-N vector of real values

Phase offset, specified as a real scalar or length-N vector of real values. N is the number of channels. If PhaseOffset is a scalar, the same value is applied to all channels. Units are in degrees.

Data Types: single | double

`SeedSource` — Source of seed for random number generator
`'Auto'` (default) | `'Property'`

Source of random generator seed, specified as 'Auto' or 'Property'. When you set this property to 'Auto', random numbers are generated using the default MATLAB random number generator. When you set this property to 'Property', a private random number generator is used with a seed specified by the value of the Seed property. To use this object with Parallel Computing Toolbox™, set this property to 'Auto'.

Data Types: single | double

`Seed` — Seed for random number generator
`0` (default) | nonnegative integer

Seed for the random number generator, specified as a nonnegative integer less than 2^32.

Dependencies

To enable this property, set the SeedSource property to 'Property'.

Data Types: single | double

Usage

Syntax

Y = recvr(X)

Y = recvr(X,EN)

Description

Y = recvr(X) returns the transformed received signal voltage Y from the input waveform voltage X. The transformation is based on the characteristics of the receiver, such as the gain, nonlinearity, and noise. Power is calculated from the signal voltage assuming a reference impedance of 1 Ohm.

example

Y = recvr(X,EN) uses the input argument EN as an enabling signal. To use this syntax, set the EnableInputPort property to true.

Input Arguments

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`X` — Receiver Input signal voltage
complex-valued vector | complex-valued matrix

Receiver Input signal voltage, specified as a complex-valued vector or complex-valued matrix. The number of rows is equal to the number of samples.

If X is a vector, the number of rows in Y equals the number of rows in X.The number of columns in Y equals the number of channels in the receiver.

In the case where X is a vector, the number of channels is determined by the active properties that indicate a number of channels, such as NoiseFigure, ReferenceTemperature, Gain, or PhaseOffset.

Receiver effects are applied to the signal in a fixed order although some effects can be omitted. The order in which effects are applied to the input signal:

Set input signal to false for any disabled points if the EnableInputPort property is true.
Input noise is added according to the AddInputNoise property.
System noise is added according to the method specified in NoiseMethod property.
Signal gain is applied according to the method specified in the GainMethod property.
Phase offset is added to the signal according to PhaseOffset property.

Data Types: single | double
Complex Number Support: Yes

`EN` — Enabling signal
real-valued vector (default) | real-valued matrix | logical-valued vector | logical-valued matrix

Enabling signal, specified as a real-valued vector or matrix or logical-valued vector or matrix.

If EN is a vector, it must have the same number of rows as the input signal matrix X. Then, the value in each row of EN is applied to all the columns of X.
If EN is a matrix, EN must be the same size as X, and each element in EN is applied to the corresponding element in X.

If EN is of type single or double, when an element of EN is zero,the receiver is turned off, and the input signal is set to zero. When element of EN is nonzero, the receiver is turned on, and the input passes through the receiver.

If EN is logical, the receiver is enabled whenever an element of EN is true and disabled whenever an element of EN is false.

Dependencies

To enable this argument, set the EnableInputPort property to true.

Data Types: double | single | logical

Output Arguments

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`Y` — Receiver output signal voltage
complex-valued vector | complex-valued matrix

Receiver output signal voltage, returned as a complex-valued vector or complex-valued matrix. If X is a matrix, the size of Y is equal to the size of X. The transformation is based on transmitter characteristics, such as the gain, nonlinearity, and noise. Power is calculated from signal voltage assuming a reference impedance of 1 Ohm.

Data Types: single | double
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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Specific to `phased.Receiver`

viewGain Plot output receiver power or output phase shift as a function of input receiver power

Common to All System Objects

`step`	Run System object algorithm
`release`	Release resources and allow changes to System object property values and input characteristics
`reset`	Reset internal states of System object

Examples

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Display Waveform with Single Channel Receiver

Open Live Script

Display a waveform that is output from a single-channel receiver having linear gain. Specify noise setting the NoiseMethod property to 'Noise figure'.

fs = 1e7;
waveform = phased.LinearFMWaveform(SampleRate=fs, ...
    PulseWidth=1e-5,SweepBandwidth=5e6);
sig = waveform();

Create a receiver object. Apply a 20 dB gain and then add noise to the waveform.

recvr = phased.Receiver(AddInputNoise=true,InputNoiseTemperature=200, ...
    GainMethod="Linear",Gain=20,NoiseMethod="Noise figure", ...
    NoiseFigure=5,SampleRate=1e6,PhaseOffset=0);

Pass the waveform through the receiver to create the processed waveform.

y = recvr(sig);

Plot the absolute value of the original waveform and the amplified waveform as a function of time.

dt = 1/fs;
n = length(sig);
t = (0:(n-1))*dt*1e6;
plot(t,abs(sig))
hold on
plot(t,abs(y))
hold off
legend('Original waveform','Amplified waveform')
xlabel('Time (microsec)')
ylabel('Signal')

Figure contains an axes object. The axes object with xlabel Time (microsec), ylabel Signal contains 2 objects of type line. These objects represent Original waveform, Amplified waveform.

Model Two-Channel Receiver

Open Live Script

Receive a linear FM waveform with a two-channel receiver where the behavior varies between each channel. Use a cubic polynomial gain model to simulate non-linear gain behavior and specify noise using noise temperature. The receiver sample rate is 10 Mhz.

fs = 10e6;
waveform = phased.LinearFMWaveform(SampleRate=fs, ...
    PulseWidth=1e-5,SweepBandwidth=5e6);
x = waveform();

Create the two channel receiver.

recvr = phased.Receiver(GainMethod="Cubic polynomial",Gain=[19,21], ...
    OIP3=[30,32],NoiseMethod="Noise temperature", ...
    NoiseTemperature=[290,350],SampleRate=fs,PhaseOffset=[0,15]);

Pass the waveform through the receiver.

y = recvr(x);
viewGain(recvr,ChannelIndex=1,Parent=gca);
hold on
viewGain(recvr,ChannelIndex=2,Parent=gca);
legend('Channel 1, Gain = 19','Channel 2, Gain = 21', ...
    'Location','SouthEast')
hold off

Figure contains an axes object. The axes object with title Receiver Gain Method Plot, xlabel Input Power (dBm), ylabel Output Power (dBm) contains 2 objects of type line. These objects represent Channel 1, Gain = 19, Channel 2, Gain = 21.

More About

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Comparison between phased.Receiver and phased.ReceiverPreamp

You can use the phased.Receiver System object in place of the phased.ReceiverPreamp in many case. Here are some guidelines for replacing phased.ReceiverPreamp properties by equivalent phased.Receiver properties.

You can replace the Gain property of the phased.ReceiverPreamp System object with the Gain property of the phased.Receiver but first you must specify that the gain is linear. To do this, set the GainMethod property of the phased.Receiver to "Linear".
There is no property in phased.Receiver equivalent to the Loss property of the phased.ReceiverPreamp. Loss can be obtained by offsetting the Gain.
Both the phased.ReceiverPreamp and the phased.Receiver System objects lets you add noise to the receiver output. You can obtain equal noise powers by proper choice of the properties of each object
- For the phased.ReceiverPreamp, you can specify the noise using the NoiseMethod property set to either "Noise power" or "Noise temperature".
  - Setting the NoiseMethod property to "Noise temperature" adds complex baseband noise to the input signal. The quantity
    
    $N P = k (F - 1) T_{Ref} B W$
    represents the noise power computed from the (T_Ref), the NoiseFactor (F), and the SampleRate (f_s) properties. The noise bandwidth (BW) is one-half the sample rate.
  - Setting the NoiseMethod property to "Noise power" lets you specify the noise power (NP) directly using the NoisePower property.
- The phased.Receiver System object does not have a "Noise power" option available in its NoiseMethod property. The only options are "Noise figure", "Noise factor", "None", and "Noise temperature".
  - When the NoiseMethod property is set to "Noise temperature", use the NoiseTemperature property to derive the noise power. The noise power (NP) is
    
    $N P = k T_{N} B W$
    where k is Boltzmann's constant, T_N is the noise temperature given by the NoiseTemperature property, and the bandwidth (BW) is one-half the sample rate.
  - When the NoiseMethod property is set to "Noise figure" or "Noise factor", the noise power can be derived using either quantity. First compute the noise factor
    
    $F = 1 + \frac{T_{N}}{T_{Ref}}$
    where T_N is the noise temperature set by the NoiseTemperature property and T_Ref is the reference temperature set by the ReferenceTemperature property. Compute the noise temperature
    
    $T_{N} = (F - 1) T_{Ret}$
    from the noise factor (F). Using this expression for the noise temperature, obtain the noise power
    
    $N P = k (F - 1) T_{Ref} B W$
    completely in terms of the noise factor.
    Instead of the noise factor you can use the noise figure (in dB) F_dB. The noise figure is related to the noise factor (F) by
    
    $F_{dB} = 10 \log_{10} F$
    and can be used when the NoiseMethod property is set to "Noise figure".
- Because of how the phased.ReceiverPreamp adds noise to the signal, the System object does not apply noise correctly. The phased.ReceiverPreamp System object adds noise to the signal after applying the gain. In contrast, the phased.Receiver System object adds noise to the signal before applying the gain.
  Referring back to the general form of the noise factor,
  
  $N P = k (F - 1) T_{Ref} B W$
  set the noise factor of the phased.Receiver so that its output noise power equals the output noise factor of the phased.ReceiverPreamp.
  
  $\begin{array}{l} k (F_{p r e a m p} - 1) T_{Ref} B W = k (F_{r e c v r} - 1) T_{Ref} B W \cdot G \\ F_{p r e a m p} - 1 = (F_{r e c v r} - 1) \cdot G \\ F_{p r e a m p} = (F_{r e c v r} - 1) \cdot G + 1 \\ F_{r e c v r} = (F_{p r e a m p} - 1 + G) / G \end{array}$
  To obtain the same output noise power, you must adjust the noise factor F (or equivalently the noise figure).

Algorithms

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Output third-order intercept point (OIP3)

Cubic polynomials can be used to model nonlinear amplifier power gain. The general form of the cubic nonlinear AM-AM amplifier is characterized by

$F_{A M - A M} (u) = c_{1} u + \frac{3}{4} c_{3} u$

where u is the input power and F_AM-AM(u) is the output power. c₁ represents the linear gain in the Gain property.

$c_{3} = \frac{4 c_{1}^{3}}{3 \times 10^{\frac{O I P 3 - 30}{10}}}$

and OIP3 is the third-order intercept point specified by the OIP3 property.

Lookup Table

A lookup table expresses the relationship between output power or phase change as a function of input power at discrete points. The table contains values for T_AM-AM and T_AM-PM. The output power is derived by linear interpolation or extrapolation of

$u_{o u t} = T_{A M - A M} (| u |) e^{T_{A M - P M} (| u | + ∠ u)}$

between these values.

References

[1] Mark Richards, Fundamentals of Radar Signal Processing, McGraw-Hill, 2005.

[2] Merrill Skolnik, Introduction to Radar Systems, 3rd Ed., McGraw-Hill, 2001.

[3] Byron Edde, Radar: Principles, Technology, Applications, Prentice Hall, 1993.

[4] Behzad Razavi, RF Microelectronics, Second Edition, Wiley, 2012.

Extended Capabilities

C/C++ Code Generation
Generate C and C++ code using MATLAB® Coder™.

Usage notes and limitations:

See System Objects in MATLAB Code Generation (MATLAB Coder).

Version History

Introduced in R2024a

phased.Receiver

Description

Creation

Syntax

Description

Properties

EnableInputPort — Enable receiver input port false (default) | true

AddInputNoise — Add noise to input signal false (default) | true

InputNoiseTemperature — Input noise temperature 290 (default) | positive scalar | length-N vector of positive values

Dependencies

NoiseMethod — Noise method 'Noise figure' (default) | 'None' | 'Noise factor' | 'Noise temperature'

NoiseFigure — Noise figure 3 (default) | real scalar | length-N vector or real values

Dependencies

NoiseFactor — Noise factor 2 (default) | positive scalar | length-N vector of positive values

Dependencies

NoiseTemperature — Equivalent noise temperature 290 (default) | positive scalar | length-N vector of positive values

Dependencies

ReferenceTemperature — Reference temperature 290 (default) | positive scalar | length-N vector of positive values

Dependencies

SampleRate — Sample rate 1e6 (default) | positive scalar

Dependencies

GainMethod — Gain method 'Linear' (default) | 'Cubic polynomial' | 'Lookup table'

Gain — Receiver gain 20 (default) | real scalar | length-N vector of real values

Dependencies

OIP3 — Output IP3 Inf (default) | scalar | length-N vector of real values

Dependencies

Table — AM/AM-AM/PM lookup table [-25, 5, -1; -10, 20, -2; 0, 27, 5; 5, 28, 12] (default) | M-by-N real-valued matrix | M-by-N real-valued matrix

Dependencies

PhaseOffset — Phase offset 0 (default) | scalar | length-N vector of real values

SeedSource — Source of seed for random number generator 'Auto' (default) | 'Property'

Seed — Seed for random number generator 0 (default) | nonnegative integer

Dependencies

Usage

Syntax

Description

Input Arguments

X — Receiver Input signal voltage complex-valued vector | complex-valued matrix

EN — Enabling signal real-valued vector (default) | real-valued matrix | logical-valued vector | logical-valued matrix

Dependencies

Output Arguments

Y — Receiver output signal voltage complex-valued vector | complex-valued matrix

Object Functions

Specific to phased.Receiver

Common to All System Objects

Examples

Display Waveform with Single Channel Receiver

Model Two-Channel Receiver

More About

Comparison between phased.Receiver and phased.ReceiverPreamp

Algorithms

Output third-order intercept point (OIP3)

Lookup Table

References

Extended Capabilities

C/C++ Code Generation Generate C and C++ code using MATLAB® Coder™.

Version History

See Also

Topics

`EnableInputPort` — Enable receiver input port
`false` (default) | `true`

`AddInputNoise` — Add noise to input signal
`false` (default) | `true`

`InputNoiseTemperature` — Input noise temperature
`290` (default) | positive scalar | length-N vector of positive values

`NoiseMethod` — Noise method
`'Noise figure'` (default) | `'None'` | `'Noise factor'` | `'Noise temperature'`

`NoiseFigure` — Noise figure
`3` (default) | real scalar | length-N vector or real values

`NoiseFactor` — Noise factor
`2` (default) | positive scalar | length-N vector of positive values

`NoiseTemperature` — Equivalent noise temperature
`290` (default) | positive scalar | length-N vector of positive values

`ReferenceTemperature` — Reference temperature
`290` (default) | positive scalar | length-N vector of positive values

`SampleRate` — Sample rate
`1e6` (default) | positive scalar

`GainMethod` — Gain method
`'Linear'` (default) | `'Cubic polynomial'` | `'Lookup table'`

`Gain` — Receiver gain
`20` (default) | real scalar | length-N vector of real values

`OIP3` — Output IP3
`Inf` (default) | scalar | length-N vector of real values

`Table` — AM/AM-AM/PM lookup table
`[-25, 5, -1; -10, 20, -2; 0, 27, 5; 5, 28, 12]` (default) | M-by-N real-valued matrix | M-by-N real-valued matrix

`PhaseOffset` — Phase offset
`0` (default) | scalar | length-N vector of real values

`SeedSource` — Source of seed for random number generator
`'Auto'` (default) | `'Property'`

`Seed` — Seed for random number generator
`0` (default) | nonnegative integer

`X` — Receiver Input signal voltage
complex-valued vector | complex-valued matrix

`EN` — Enabling signal
real-valued vector (default) | real-valued matrix | logical-valued vector | logical-valued matrix

`Y` — Receiver output signal voltage
complex-valued vector | complex-valued matrix

Specific to `phased.Receiver`

C/C++ Code Generation
Generate C and C++ code using MATLAB® Coder™.