Pmeter

The input pins are :

The device tested can be considered in first approximation as a nonlinear system with no memory, in the following the output of the device previously named V(t) is replaced by y(t) (classical formulation):

By developing in the formalism complex envelopes, the relation to the fundamental can be expressed as follows:

The output pins are :

Total Power :

is the output signal which is expressed in sqrt(mW).

Effective Power :

The method to obtain effective power uses the intercorrelation technique between the input and output signals to decompose the wanted signal and the intermodulation noise. In the case where the system is stimulated by a centered Gaussian statistical signal, the Bussgang theorem [1] extended to the complex domain [2] makes it possible to express the envelope of the output signal in the following form:

The complex envelope of the output signal is the sum of a non-distorted component and intermodulation noise which is by definition uncorrelated with the input signal (orthogonality hypothesis):

The undistorted component is none other than the complex envelope of the input signal to which a constant gain is applied. This constant gain is called the equivalent complex gain and is calculated by the ratio between the cross correlation of the input and output signals and the autocorrelation of the input signal [1] [3] for a delay ensuring the condition of the input signal. equation:

Then it is easy to develop the effective output signal :

The relationship with effective power is then :

• Signal type: Complex signal (envelope) or real (real part of envelope).
• Probe type: dBm or Watt.