Extract U-HF model for mixer

How to extract Unilateral High Frequency memory (U-HF) model for Mixer (MIX). The MIX-U-HF model is the simplest nonlinear mixer model. Extracting this model requires little information about the component, i.e. 1-tone CW measurements, performed on a nominal load impedance. It therefore takes into account only the dispersive effects present in the operating band of the mixer and ignores other memory effects such as those due to polarization or heating. It is a fixed LO signal model. Only the LO frequency variations are taken into account. This model does not take into account load impedance changes.

To begin this task, you will need:
  • A licence of VISION Device Modeler. See Installation and licence setup.
  • To have opened a project. See Create or open a project.
  • An input file build from U-HF mixer measurement data or U-HF simulation data. See "U-HF mixer scalar measurement" or "Simulation template for U-HF Mixer data".

The basic steps for extract an U-HF model are:

  1. Create a new Mixer device
    In an opened project, you can create a device from Applications window or Workspace window.
    • From Applications window, right-click on Device modeler and click on Create device. You can also right-click on MIX and click on Create MIX device.
    • From Workspace window, click on Device modeler button, select MIX and click on Open button then New button.
    The Create a new device dialog box is displayed.
    Figure: Create a new mixer device


    1. In Type field, select MIX.
    2. In Model field, select MIX-U-HF.
    3. In Name field, edit the name of your device. Here, we will name it "MIX_example4".
    Click on Create button to display the new device in the tree of Applications window and the settings of the extraction in Workspace window.
    Figure: Extraction settings


  2. Choose your data file


    In the Extraction Settings section, fill in the Data file field with the absolute or relative path of your measurement or simulation file with the extension .dat. Click on Browser button to open the file browser and select your file in the local file system. The file browser opens directly to the data directory specified when creating the project.
  3. Tune power and frequency approximation order parameters


    Choose the conversion mode according to the following configurations:
    • Mix down: IF = OL - RF;
    • Mix up: RF = OL - IF;
    You have the option to add a noise factor file.

    In Power approximation order and Frequency approximation order fields, start to put low orders and checks results graphically after extraction.
    Nota Bene:

    The power approximation order can not be greater than the number of power points included in the data file.

    The frequency approximation can be carried out either by polynomial function or by poles-residues decomposition. The polynomial approximation is more adapted to weakly varying characteristics according to the frequency. Otherwise, it is recommended to use poles-residues approximation.

    The frequency approximation order can not be greater than the number of frequency points included in the data file. If exceeded, VISION will send a message in the Output Console window and automatically truncate the order of approximation to the maximum number allowed.

    The Technological dispersions option allows to specify a distribution law of the gain (module) and phase shift characteristics of the amplifier. Two laws of dispersion are possible (Uniform or Gaussian law). The dispersion is characterized by two parameters: the standard deviation Module, given in % of the nominal value for the gain, and the standard deviation Phase in degrees for the phase shift.

  4. Extract behavioral model and check with output graphs
    Click on Extract button to start the extraction process of the model. The output console is displayed:

    The message Model Fit Error is showing the normalized mean square error (NMSE) between data and model. Close the window to see in the Applications window the number of the newly created extraction, here, 001. The results are saved and can visualized at any time by designating in the tree the associated extraction. Click on the Output graphs tab to see comparisons between data and model.
    Figure: Output graphs after MIX-U-HF model extraction 001


    Various graphs are available to check the quality of the model according to two dimensions: power and frequency. To examine the quality of the approximation on the gain, select Volterra Model MIX-U-HF [Conversion Gain] in Figures section and choose graphs you want to display in Graphs section:
    • Tick dB[conv Gain] [par=Pin, LO freq] to display, for different input powers and LO frequencies, the modulus of conversion gain in dB as a function of dFreq, the offset between the central frequency of the device characterization band and the frequency of the CW signal.
    • Tick phase[conv Gain] [par=Pin, LO freq] to display, for different input powers and LO frequencies, the phase of conversion gain in dB as a function of dFreq, the offset between the center frequency of the device characterization band and the frequency of the CW signal.
    • Tick dB[conv Gain] [par=Pin, Input freq] to display, for different input powers and input frequencies, the modulus of conversion gain in dB as a function of dFreq, the offset between the LO central frequency of the device characterization band and the LO frequency of the CW signal.
    • Tick phase[conv Gain] [par=Pin, Input freq] to display, for different input powers and input frequencies, the phase of conversion gain in dB as a function of dFreq, the offset between the LO center frequency of the device characterization band and the LO frequency of the CW signal.
    • Tick dB[conv Gain] [par=LO freq, Input freq] to display, for different LO and input frequencies, the modulus of conversion gain in dB as a function of Pin, the power of the CW input signal.
    • Tick phase[CW Gain] [par=LO freq, Input freq] to display, for different frequencies, the phase of conversion gain in dB as a function of Pin, the power of the CW input signal.
    The graphs show the curves of data (from measurement or simulation) in red lines and the extracted model in blue lines. The legend recalls the error NMSE between model and data. If the number of curves makes the graphs unreadable, click on Configure button to reduce the density of curves and/or limit the input power range and frequency band.
  5. Tune power and frequency range
    If the first extraction is not satisfactory, it is necessary to increase the order of approximation power and/or frequency.
    1. Start by increasing the order of approximation power as long as the error NMSE decreases significantly. Check graphically the comparison between the data and the model.
    2. Then, increase the order of approximation frequency as long as the error NMSE decreases significantly. Check graphically the comparison between the data and the model.
    3. If the error is not small enough, restart in step a from the current settings