DFT for convolution like operation

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  • menahemkrief
    New Member
    • Apr 2014
    • 1

    DFT for convolution like operation

    Let x,y be finite real valued sequences defined on 0...N-1 and let g be a non negative integer .

    define z (formula is in this link):
    http://oi59.tinypic.co m/16jn907.jpg

    also on 0..N-1.
    In addition, the DFT of y is known in a closed form.
    Is there a way to write z as some cyclic convolution, so that with the help of the convolution theorem z can be calculated in NLOG N instead of N^2?

    Thank you
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