Hi folks,(adsbygoogle = window.adsbygoogle || []).push({});

I am just looking for a leg up in completing the Wiener-Khintchine theorem. Most of it seems rudimentary, however, to finish this off I must get over the hurdle that is:

[tex]

\int_{-T}^{T} \int_{-T}^{T} x(t - \tau) dt d\tau = \int_{-2T}^{2T} (2T - |\tau|)x(\tau)d\tau

[/tex]

I thought that I could show this by some pictorial argument (that is, by showing some obvious relations of the area and function shifts, similar to a convolution) but I'm not sure that this is satisfactory to harness my knowledge of the step. Could anyone suggest the first step of analytical reasoning or a nudge in the right direction?

Cheers...

Brendan

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# Integral relation for Wiener-Khintchine theorem

Can you offer guidance or do you also need help?

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