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.sxx I see it a lot on the internet and in engineering textbooks: they never bother to assert that it converges.
There are many different ways to look at degrees of freedom. I wanted to provide a rigorous answer that starts from a concrete definition of degrees of freedom for a statistical estimator as this may be useful/satisfying to some readers:
Sxx in linear regression. Ask Question Asked 9 years, 1 month ago. Modified 1 yeasxxr, 3 months ago.
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sxx|Form of the spectral density in Wiener Khinchin theorem?
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