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# Z-Parameters Amplifier

Model nonlinear amplifier using Z-parameters

• Library:
• RF Blockset / Equivalent Baseband / Amplifiers

## Description

The Z-Parameters Amplifier block models the nonlinear amplifier described in the block dialog box, in terms of its frequency-dependent Z-parameters, the frequencies of the Z-parameters, noise data, and nonlinearity data

## Parameters

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### Main

Z-parameters for a nonlinear amplifier, specified as a 2-by-2-by-M array where M is the number of Z-parameters.

Frequency of Z-parameters, specified as M-element vector with each element unit in hertz.

Method to interpolate the network parameters, specified as one of the following:

MethodDescription
`Linear`Linear interpolation
`Spline`Cubic spline interpolation
`Cubic`Piecewise cubic Hermite interpolation

### Noise Data

Type of noise data, specified as one of the following:

• `Noise figure`

• `Spot noise data`

• `Noise factor`

• `Noise temperature`

This parameter is disabled if the data source contains noise data.

Available signal-to-noise ratio at the input to available signal-to-noise ratio at the output, specified as a scalar ratio or a vector of ratios.

#### Dependencies

To enable this parameter, select `Noise figure` in Noise type.

Minimum ratio of available signal-to-noise ratio at the input to available signal-to-noise ratio at the output, specified as a scalar ratio or a vector of ratios.

#### Dependencies

To enable this parameter, select `Spot noise data` in Noise type.

Optimal source impedance, specified as a complex scalar or a complex vector.

#### Dependencies

To enable this parameter, select `Spot noise data` in Noise type.

Normalized resistance values used to take noise measurement, specified as a positive scalar or a positive vector.

#### Dependencies

To enable this parameter, select `Spot noise data` in Noise type.

Ratio of available signal-to-noise power at the input to available signal-to-noise power at the output, specified as a scalar ratio or a vector of ratios.

#### Dependencies

To enable this parameter, select `Noise factor` in Noise type.

Equivalent temperature that produces the same amount of noise as the amplifier, specified as a nonnegative scalar in kelvins or nonnegative vector with each element unit in kelvins.

#### Dependencies

To enable this parameter, select `Noise temperature` in Noise type.

Domain of frequencies to express noise data, specified as a nonnegative scalar in hertz or nonnegative vector with each element unit in hertz. If you provide a scalar value for your noise data, the block ignores the Frequency (Hz) parameter and uses the same noise data for all frequencies. If you provide a vector of values for your noise data, it must be the same size as the vector of frequencies. The block uses the Interpolation method specified in the Main tab to interpolate noise data.

### Nonlinearity Data

Type of third order intercept, specified as `OIP3` (output intercept point) or `IIP3` (input intercept point). This parameter is disabled if the data source contains power data or IP3 data.

IP3 value, specified as a scalar in dBm for frequency independent nonlinear data or a vector with each element unit in dBm for frequency dependent nonlinear data. This parameter is disabled if the data source contains power data or IP3 data.

Output power value (${P}_{1dB,out}$) at which the gain has decreased by 1 dB, specified as a scalar in dBm for frequency independent nonlinear data or vector with each element unit in dBm for frequency dependent nonlinear data. This parameter is disabled if the data source contains power data or IP3 data.

Output power value (${P}_{sat,out}$) that the amplifier produces when fully saturated, specified as a scalar in dBm for frequency independent nonlinear data or a vector with each element unit in dBm for frequency dependent nonlinear data. This parameter is disabled if the data source contains output saturation power data.

Decrease in gain value ($G{C}_{sat}$) when the power is fully saturated, specified as a scalar in dB for frequency independent nonlinear data or a vector with each element unit in dB for frequency dependent nonlinear data.

Frequency points corresponding to third-order intercept or power data, specified as a positive scalar or positive vector in units of hertz. This parameter is disabled if the data source contains power data or IP3 data.

#### Dependencies

• If you specify the frequency as a scalar, then the IP3 (dBm), 1 dB gain compression power (dBm), and Output saturation power (dBm) parameters must all be scalars.

• If you specify the frequency as a vector, then or more of the IP3 (dBm), 1 dB gain compression power (dBm), and Output saturation power (dBm) parameters must also be a vector.

### Visualization

Frequency data source, specified as ```Same as the Z-Parameters``` or `User-specified`.

Frequency data range, specified as a vector with each element unit in hertz.

#### Dependencies

To enable this parameter, set Source of frequency data to `User specified`.

Reference impedance, specified as a nonnegative scalar in ohms.

Type of data plot to visualize using the given data, specified as one of the following:

• `X-Y plane` — Generate a Cartesian plot of the data versus frequency. To create linear, semilog, or log-log plots, set the Y-axis scale and X-axis scale accordingly.

• `Composite data` — Plot the composite data. For more information, see Create Plots.

• `Polar plane` — Generate a polar plot of the data. The block plots only the range of data corresponding to the specified frequencies.

• `Z smith chart`, ```Y smith chart```, and `ZY smith chart` — Generate a Smith® chart. The block plots only the range of data corresponding to the specified frequencies.

Type of parameters to plot, specified as one of the following:

 `S11` `S12` `S21` `S22` `GroupDelay` `GammaIn` `GammaOut` `VSWRIn` `VSWROut` `OIP3` `IIP3` `NF` `NFactor` `NTemp` `TF1` `TF2` `TF3` `Gt` `Ga` `Gp` `Gmag` `Gmsg` `GammaMS` `GammaML` `K` `Delta` `Mu` `MuPrime`

Note

Y parameter1 is disabled when you select Plot type to `Composite data`.

Type of parameters to plot, specified as one of the following:

 `S11` `S12` `S21` `S22` `GroupDelay` `GammaIn` `GammaOut` `VSWRIn` `VSWROut` `OIP3` `IIP3` `NF` `NFactor` `NTemp` `TF1` `TF2` `TF3` `Gt` `Ga` `Gp` `Gmag` `Gmsg` `GammaMS` `GammaML` `K` `Delta` `Mu` `MuPrime`

Note

Y parameter2 is disabled when you select Plot type to `Composite data`.

Plot format, specified as one of the following.

Y parameter1Y format1
`S11`, `S12`, `S21`, `S22`, `GammaIn`, `GammaOut`, `TF1`, `TF2`, `TF3`, `GammaMS`, `GammaML`, and `Delta`.`dB`, ```Magnitude (decibels)```, `Abs`, `Mag`, ```Magnitude (linear)```, `Angle`, `Angle(degrees)`, `Angle(radians)`, `Real`, `Imag`, and `Imaginary`.
`GroupDelay``ns`, `us`, `ms`, `s`, and `ps`.
`VSWRIn` and `VSWROut`.`Magnitude (decibels)` and `None`.
`OIP3` and `IIP3`.`dBm`, `W`, and `mW`.
`NF` `dB` and ```Magnitude (decibels)```.
`NFactor`, `K`, `Mu`, and `MuPrime`.`None`
`NTemp``Kelvin`
`Gt`, `Ga`, `Gp`, `Gmag`, and `Gmsg`.`dB`, ```Magnitude (decibels)```, and `None`.

#### Dependencies

To enable Y format1, set Plot type to `X-Y plane`.

Plot format, specified as one of the following.

Y parameter2Y format2
`S11`, `S12`, `S21`, `S22`, `GammaIn`, `GammaOut`, `TF1`, `TF2`, `TF3`, `GammaMS`, `GammaML`, and `Delta`.`dB`, ```Magnitude (decibels)```, `Abs`, `Mag`, ```Magnitude (linear)```, `Angle`, `Angle(degrees)`, `Angle(radians)`, `Real`, `Imag`, and `Imaginary`.
`GroupDelay``ns`, `us`, `ms`, `s`, and `ps`.
`VSWRIn` and `VSWROut`.`Magnitude (decibels)` and `None`.
`OIP3` and `IIP3`.`dBm`, `W`, and `mW`.
`NF` `dB` and ```Magnitude (decibels)```.
`NFactor`, `K`, `Mu`, and `MuPrime`.`None`
`NTemp``Kelvin`
`Gt`, `Ga`, `Gp`, `Gmag`, and `Gmsg`.`dB`, ```Magnitude (decibels)```, and `None`.

#### Dependencies

To enable Y format2, set Plot type to `X-Y plane`.

Frequency plot, specified as `Freq`.

Frequency plot format, specified as one of the following.

 `Auto` `Hz` `kHz` `MHz` `GHz` `THz`

Y-axis scale, specified as `Linear` or `Log`.

#### Dependencies

To enable this parameter, set Plot type to ```X-Y plane```.

X-axis scale, specified as `Linear` or `Log`.

#### Dependencies

To enable this parameter, set Plot type to ```X-Y plane```.

Plot specified data using the plot button.

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## Version History

Introduced before R2006a