problem with the output of a demodulator

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mpradhan1

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I am working on a project which is based on lock in amplification. Basically the main phase of the design is the phase sensitive detection where demodulation(multiplication) of two signals takes place.

For my project I have to extract a very weak signal buried in large noise. In the demodulator stage, it works fine if i just multiply a simple sine wave and a square wave havin da same phase as it provides me fully rectified signal. But if I add the noise signal with the sin wave and then perform the demodulation step, the output does not turn out to be fully rectified signal.

I have tried lookin at all the specs but I cant figure out whats wrong with the procedure. Can anyone please please help me out with this ?? I will really appreaciate the help
 
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