**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.

** **