Stochastic delay differential equation and its application on communications

In this paper, stochastic delay differential equation (SDDE) and its application on communications are discussed. Based on SDDE, a novel communication scheme-delay time modulation (DTM) is proposed. In this modulation scheme, the information signal is conveyed by the delay time of a delayed linear Langevin equation, which exhibits a linear relationship with the variance of the SDDE system output. The information signal can be retrieved at the receiving end by estimating the variance of the received signal. To evaluate the performance of DTM scheme, normalized mean square error (NMSE) in additive white Gaussian channel is derived for analog information transmission, as well as BER (bit error rate) for binary information communications. Both analytical and simulation results demonstrate the feasibility and robustness of the proposed scheme.