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Summing up offsets (Read 1950 times)

PalmRunner New Member Offline Posts: 9	Summing up offsets Nov 19^th, 2008, 9:45am Hello all, Let�s imagine a unity gain buffer with 1 sigma random offset = 1mV. How much would be the total 1 sigma offset if we connect 10 buffers in series. If the offsets are independent, the total offset should be less than 10 times 1mV, but how much exactly? Any suggestions are greatly appreciated. Thanks!
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Tlaloc

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Re: Summing up offsets
Reply #1 - Nov 19^th, 2008, 10:33am

PalmRunner wrote on Nov 19^th, 2008, 9:45am:

If the offsets are independent, the total offset should be less than 10 times 1mV, but how much exactly?

Since you are working with statistics, you cannot sum up independent terms. You can sum up the variances, however. To get the answer, you have to take the Root of the Sum of the Squares (RSS) of each independent term. For your case, since all terms have the same sigma value, you total expected offset would be 1mV*√(10).

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PalmRunner New Member Offline Posts: 9	Re: Summing up offsets Reply #2 - Nov 19^th, 2008, 11:33am Thank you Tlaloc! You helped me a lot! I have forgotten this basic formula.
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