What do you mean by DFT matrix raised to some power?

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In uniform DFT modulated filter bank design, we have the filter equation ad following

Xk(z)=Hk(Z)X(z) ;     % Xk(n)=Kth subband of X(n);

Hk(z)=Ho(zW^k)     % Hk(z) = Filter of kth subband;

H0(z)=1+z-1+Z-2+....Z-(M+1).

M is number of subbands and W is the DFT matrix of M X M.

so how can i assign the W matrix sum into the Hk(z) vector?

any help please........


%%%Reference: Multirate Systems and Filter banks by P.P .Vaidyanathan  Pearson Education 1993; page number 113-116.
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Reply rraj.be (7) 2/6/2010 6:07:04 AM


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