A Complete Analysis on LOFDM Signaling over Doubly-dispersion Channels with Optimum Design

Aiming at fast mobile communications, the design strategies on a novel family of multicarrier signals, named Lattice orthogonal frequency division multiplexing (LOFDM), whose subcarriers are lattice-tiling on timefrequency plane, are dealt with in this paper under general time-varying multipath channels. Here, it chooses the efficient offset-vector-based model for LOFDM signal description. With its help, the optimizations of the pulse scale and Time-frequency location (TFL) are done on the primary channel case of flat power-scattering profile to minimize the level of symbol crosstalk interferences at receiver. Based on the efforts above, a common result for LOFDM design is derived by extending channels to the ordinary cases of arbitrary power-scattering functions, which is done via Taylor series extension. Finally, among possible solutions the better choice that is preferred in band-limited applications is also considered. All above are supported by theoretic analysis and numerical results.