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Addition of signals sinus

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carpenter

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F1 I have a sinus signal of known frequency and unknown amplitude,
Then I have a sinus F2 signal of the same frequency at which I can change the amplitude and phase of
Realistically terms of signal from two 14bit DDS, 1V RMS 50hom where F1 signal passes through an unknown object that changes its phase and amplitude.
The point at which the F1 and F2 clash votmetr got connected.
The challenge is by changing the amplitude and phase of the signal to achieve a state where F2 F1 + F2 = 0

We naively thought it would be easy, it is not.
Your advice as quickly achieve states of F1 + F2 = 0?
 

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