Blind frequency offset correction algorithm for DWMT system

Discrete wavelet multicarrier transceiver (DWMT) system, which can be viewed as a kind of OFDM, has many advantages because it uses wavelet as its base functions. In this paper we present a new sub-carrier frequency synchronize method for DWMT systems with little assistant information. The essential ideal of this arithmetic is: when an orthogonal multicarrier system is of perfect frequency synchronize, the demodulated signals of different sub-carriers are independent of each other. Whereas when frequency offset exists, every demodulated signal is constructed by several modulated signals projects on the demodulating frequency. So the adjacent demodulated signals consist of the element of the same modulated signal, and these demodulated signals are correlated with each other. The degree what they correlated with each other is a function of the sub-carrier relative frequency offset. Since that little assistant information is used in this algorithm, the spectrum efficiency can be largely increased. Simulation result show that if the number of the sub-carrier of the DWMT system is bigger than 1000, the relative frequency offset can be limited in 2%.