Measurement system and method of determining a corrected averaged power signal

A measurement system, comprising:

• an input port is configured to receive an input signal to be measured;
• a first signal path and a second signal path;
• a signal splitter comprises a common port that is connected to the input port so as to receive the input signal from the input port, a first port that is connected to the first signal path and a second port being connected to the second signal path, wherein the signal splitter is configured to split the input signal into a first signal that is forwarded to the first signal path and a second signal that is forwarded to the second signal path,
• the first signal path configured to process the first signal, thereby obtaining a first processed signal, and the second signal path configured to process the second signal, thereby obtaining a second processed signal,
• an analysis circuit connected to the first signal path and the second signal path so as to receive both the first processed signal and the second processed signal, wherein the analysis circuit is configured to:
• perform a conjugate complex multiplication of the first processed signal and the second processed signal, thereby obtaining a complex-valued product signal;
• average the complex-valued product signal over a predetermined number of samples, thereby obtaining an averaged product signal;
• and determine an averaged power signal based on the averaged product signal;
• and
• a control circuit configured to directly or indirectly add an offset to the averaged power signal.