Matrix compensation for multi-component-transducers Matrix compensation for multi-component-transducers | HBM

PMX Matrix Compensation

This Technote explains how to compensate the cross talk of measured values by using matrix compensation. In this example a multicomponent transducer is used, which is able to measure force and torque values within all degrees of freedom.

Required Material

In order to realize the example, the following components are necessary:

  • 1 x PMX System (incl. supply)
  • 1 x Transducer (6-component-transducer)
  • 1 x calibration protocol (coefficient-compensation-matrix)


More and more test engineers in Aerospace, Machinery and Automotive request custom made sensors from HBM. These types of sensors measure force and torque in the requested degree of freedom and are called multi component or multi axis transducer. The picture below shows a6-component-transducer.

HBM delivers together with the sensor itself a so called compensation matrix. The matrix itself shows the cross-talk or cross influence between components, i.e. Fx to Fy and so on. Ufx, Ufy and so forth are the raw signals measured in mV/V; K11, K12 ... are the coefficients.

Multiplication of the measured quantities with the matrix results in fully compensated force and torque values in X, Y and Z direction. Fx, Fy ... are compensated real outputs in N or kN according the protocol delivered. A matrix example is displayed below.

As shown in the figure above, the sensor signals (Ufx-UMz) are multiplied with the coefficient-matrix and eventually summed up for every line. The results are the values for force and torque (Fx-Mz).The results can be outputted directly on the device or again get parameterized as isochronous to be available in the system.

Tip on using TEDS

By using TEDS, different coefficients are used, because the signals don’t need to be converted. These coefficients can be found in the calibration protocol as well.

Matrix-compensation settings

Open the PMX in the web-browser and add a new function under calculated channels. Select the 6x6-Matrixas shown below.

The following field shows up, where the specific parameters can be entered

As first step choose the input channels of the signals which shall be compensated afterwards (1). Step two is to enter the values from the given coefficient-matrix into the PMX matrix (2). Finally choose the signal output channels (3).

Output of Results

The outputs are mapped on internal channels in this example to be able to show the results in the web browser. The figures below show the results of different measurements where perturbation is eliminated by the matrix.

Calculation example

Following a calculation example is shown, which explains the calculation of the forces Fy and Fz, by given input signals

Legal Disclaimer

These examples are simply for the purpose of illustration. They cannot be used as the basis for any warranty or liability claims.