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Fast computation of partial DFT for comb spectrum evaluation
, S.A. Qadeer, Md.Y. Khan
Published in
2006
Volume: 7
   
Pages: 3213 - 3218
Abstract
A comb spectrum evaluation problem arises in the channel estimation of pilot symbol-assisted modulation (PSAM) systems and also in the (de)modulation of multichannel communication system based on orthogonal frequency division multiplexing (OFDM). In this paper we decompose a M-component comb spectrum evaluation with transform length N into i) a FFT evaluation of transform length M of a length M vector, ii) which in turn is obtained from the length N input vector (by folding and scaling). This decomposition allows for the application of split-radix and radix-4 algorithms for evaluation of M length transform and efficient computation of the length M vector from the length N input vector, which is classically termed as 'pruning'. When N = 2p, the comb spectrum computation requires only N/8+M/3 log2 M nontrivial complex multiplications, if N/M ≥ 8. In addition, conditions under which comb spectrum evaluation can be done in O(M log M) complex multiplies are identified. © 2006 IEEE.
About the journal
JournalIEEE International Conference on Communications
ISSN05361486