The chirp transform of a vector a = (a 0 , a 1 , . . .
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The chirp transform of a vector a = (a0, a1, . . . ,an-1) is the vector y= (y0, y1, . . . ,yn-1), where yk = Σn-1j=0?aj zkj and z is any complex number. The DFT is therefore a special case of the chirp transform, obtained by taking z = ωn. Show how to evaluate the chirp transform in time?O(nlgn)?for any complex number?. Use the equation
to view the chirp transform as a convolution.
Transcribed Image Text:
n-1 Yk = zk2/2 -(k-j)?/2 j=0
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The chirp transform of a vector a can be viewed as a convolution using the equation yk ...View the full answer
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Related Book For
Introduction to Algorithms
ISBN: 978-0262033848
3rd edition
Authors: Thomas H. Cormen, Charles E. Leiserson, Ronald L. Rivest
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