ANSWERS: 2
  • autocorrelation f(x) = integral g(t) g(t-x) dt If g is sin and x is zero then: f(0) = integral sin^2(t) dt = integral (1/2)(1-cos(2t)) dt = pi Now, if you can explain how you get 0 for x not equal to zero we're away!
  • Yah, I can't edit my comments, so I'll just post a response here... If you autocorrelate an interval of sin(x), you get a simple, finite result. I want to correlate the interval from negative infinity to infinity. Like you said, at 0, 2pi, etc it is infinity but yah, I think i'm going to have to just brute force it and evaluate various intervals...

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