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The formula you quote, Sxx(ω):=limT→∞E[|1T−−√∫T0x(t)e−iωtdt|2], is not correct. I have never seen a reliable source that proves (or even asserts) that it converges. I see it a lot on the internet and in engineering textbooks: they never bother to assert that it converges.

SXX. SXX is one of the components computed in finding the correlation and regression. It is a measure of variability. It is also known as the sum of squares of the variable x. Key Vocabulary: Standard Deviation: The formula for standard deviation uses the sum of the squares of the deviations from the mean.

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