Title :
Stochastic delay differential equation and its application on communications
Author :
Xu, Mingdong ; Wu, Fan ; Leung, Henry
Author_Institution :
Dept. of Electr. & Comput. Eng., Univ. of Calgary, Calgary, AB, Canada
fDate :
May 30 2010-June 2 2010
Abstract :
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.
Keywords :
AWGN; Gaussian channels; delays; differential equations; error statistics; stochastic processes; BER; additive white Gaussian channel; analog information transmission; binary information communications; bit error rate; communication scheme-delay time modulation; information signal; linear Langevin equation; normalized mean square error; stochastic delay differential equation; Analytical models; Bit error rate; Delay effects; Delay lines; Differential equations; Gaussian channels; Information retrieval; Mean square error methods; Robustness; Stochastic processes;
Conference_Titel :
Circuits and Systems (ISCAS), Proceedings of 2010 IEEE International Symposium on
Conference_Location :
Paris
Print_ISBN :
978-1-4244-5308-5
Electronic_ISBN :
978-1-4244-5309-2
DOI :
10.1109/ISCAS.2010.5537244
