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Math Help - Parseval integration limits

  1. #1
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    Parseval integration limits

    Hello,
    Using Parseval's Theorem:
    \int_a^b f(x)^2 dx = 2\pi (\frac{a_0}{2})^2 + \sum_{n=1}^{\infty}[ a_{n}^2\pi + b_{n}^2\pi ]
    I know that a,b are usually 0,2\pi or  -\pi,\pi , how does one determine their values?
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by dudyu View Post
    Hello,
    Using Parseval's Theorem:
    \int_a^b f(x)^2 dx = 2\pi (\frac{a_0}{2})^2 + \sum_{n=1}^{\infty}[ a_{n}^2\pi + b_{n}^2\pi ]
    I know that a,b are usually 0,2\pi or  -\pi,\pi , how does one determine their values?
    Look at how a_n and b_n are calculated (they are the same as the limits of integration there)

    CB
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  3. #3
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    Unhappy

    Ah, my notations were misleading- the 'a' and 'b' in the integration have nothing to do with a_n , b_b inside the sum.
    Either that, or I didn't get what you meant:/
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  4. #4
    Grand Panjandrum
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    Quote Originally Posted by dudyu View Post
    Ah, my notations were misleading- the 'a' and 'b' in the integration have nothing to do with a_n , b_b inside the sum.
    Either that, or I didn't get what you meant:/
    Despite your careless notation I know that. My post asked how are the coefficients defined? Is there an integral there and what are the limits of integrations in those definitions?

    CB
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