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a sentence understanding

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samuel

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"The reason for this SNR improvement through the use of oversampling is that when quantized samples are averaged together, the signal portion adds linearly, whereas the noise portion adds as the square root of the sum of the squares"---------from pp.536 martins book.


I dont understand it. anyone can help me?
thanks.

samuel.
 

samuel said:
"The reason for this SNR improvement through the use of oversampling is that when quantized samples are averaged together, the signal portion adds linearly, whereas the noise portion adds as the square root of the sum of the squares"---------from pp.536 martins book.


I dont understand it. anyone can help me?
thanks.

samuel.
Click to expand...

Assume that we have A and B signals. The useful signal will be A+B but the noise portion outcome will be ≈√(A*A + B*B) (e.g. A=3, B=4 the useful signal is 7, but the noise is proportional to 5..so the ratio is smaller...it's not quite exact but just trying to explain it)
 

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