APPLICATION OF POLYPHASE DECOMPOSITION FOR EFFECTIVE COMPUTATIONAL REALIZATION OF MODULATION ALGORITHM FOR SIGNALS CONSTRUCTED FROM FINITE-DIMENSIONAL GENERALIZED WEYL-HEISENBERG BASES

 D. A. Petrov, A. N. Bogolubov
Faculty of Physics, Lomonosov Moscow State University

Received March 9, 2010

Abstract. Z-transform is introduced in the paper. It is used then to consider decimation and interpolation filters, uniform DFT filter bank, utilized in classical Orthogonal Frequency Division Multiplexing (OFDM) systems. It is show how polyphase decomposition can improve efficiency of such schemes. Orthogonal Frequency Time Division Multiplexing (OFTDM) signal, constructed from generalized Weyl-Heisenberg (WH) bases are much more robust against intercarrier interference (ICI). However in general processing of such signals is much more complex in compare with classical OFDM scheme. In the paper it is shown that polyphase realization can reduce considerably the volume of computations needed to form OFTDM signal. Thus effective modulation scheme is proposed.

 Key words: Weyl-Heisenberg bases, polyphase decomposition, signal modulation, OFTDM.