

Subject:
Computing DCT coefficients using DFT.
Category: Reference, Education and News > Homework Help Asked by: buddayga List Price: $10.00 
Posted:
24 Nov 2006 15:27 PST
Expires: 24 Dec 2006 15:27 PST Question ID: 785334 
For signal u[n],n=0,1,....N1, show that its DCT coefficients w[k],k=0,1,...N1 can be computed as follows: w[k]=sqrt[2(2del[k])]R{e to the powerj(pi)k/2N v'[k]}where del[k] is the Kronecker Delta, R denotes the real part of a complex number and v'[k]is the Unitary DFT coefficient for signal u'[n] belongs to R to the power 2N defined as follows: Transpose of(u')=[u[0]u[1].....u[N1]00...0],i.e u'is the zero padded version(upto length 2N)of u. Based on the above derivation, describe steps needed to implement fast DCT using FFT. 

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