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

fYear

2010

fDate

May 30 2010-June 2 2010

Firstpage

1364

Lastpage

1367

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;

fLanguage

English

Publisher

ieee

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

Type

conf

DOI

10.1109/ISCAS.2010.5537244

Filename

5537244