Synthesis of dispersive signals and applications in wireless communications

In this paper, we propose a novel synthesis algorithm for time-varying transformations of signals with dispersive structures or that have been transmitted in highly non-linear dispersive mediums. Our algorithms are based on transformation techniques that counteract the effects of non-linear dispersive group delay changes by converting them to constant or linear group delay changes. In particular, we apply the algorithm to synthesize a signal with hyperbolic group delay structure from its Altes Q-distribution (QD). Such algorithms are important in recovering relevant dispersive signal segments after processing such as filtering in the time-frequency plane. We demonstrate the importance of our new synthesis algorithms in suppressing dispersive time-varying interference or impulsive artifacts in dispersive mediums, such as the ocean, in wireless communications applications. We demonstrate that the new approach using synthesis of dispersive structures successfully improved the system's bit error rate performance when compared to the use of techniques that use synthesis of linear structures.