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How to calculate the correlation coefficient? And how to create uncorrelated noise and solve the 2nd part with bonus

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1. We have two noise sources and an RMS voltmeter. We measure the RMS values and
they are 3V and 5V. We would like to determine the correlation coefficient but we have
an adder only. Putting the two noise sources in series produces a noise with 4V effective
value.
a) How much is the correlation coefficient? (2 points)
b) How large will be the resulting noise if we reverse the polarity of one of the noise
sources? (1 point)
2. Design: using the two correlated noises shown above, create two uncorrelated noises
by a linear combination of them. You are free to choose how large will be these noises.
Provide the required weighting factors for the linear combination of the noises. (2 points)
BONUS: Both uncorrelated noise must have 1 V rms amplitude. (3 points)

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