A STOCHASTIC DIFFERENTIAL EQUATION FOR WIRELESS CHANNELS BASED ON JAKES' MODEL WITH TIME-VARYING PHASES

被引：1

作者：

Mossberg, Magnus ^{[1
]}

Irshad, Yasir ^{[1
]}

机构：

[1] Karlstad Univ, Dept Phys & Elect Engn, Karlstad, Sweden

来源：

2009 IEEE 13TH DIGITAL SIGNAL PROCESSING WORKSHOP & 5TH IEEE PROCESSING EDUCATION WORKSHOP, VOLS 1 AND 2, PROCEEDINGS | 2009年

关键词：

Modeling; stochastic differential equation; electric field; wireless channel;

D O I：

10.1109/DSP.2009.4785994

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

A stochastic differential equation for describing the dynamics of a scattered electric field at a moving receiver for a wireless channel is derived. The derivation is based on an extension of Jakes' model where the Doppler shifts are described as usual but where the phases are time-varying and described by Wiener processes. An approximation to this stochastic differential equation that is easier to work with is also given. The approximation, whose parameters can be interpreted physically, facilitates simulations since only one complex valued signal needs to be generated. A numerical example for illustrating its degree of validity is presented.

引用

页码：602 / 605

页数：4

共 9 条

[1] [Anonymous], 1974, MICROWAVE MOBILE CO
[2] [Anonymous], 2006, INTRO STOCHASTIC CON
[3] DATTA BN, 2004, NUMERICAL METHODS LI
[4] Stochastic differential equation theory applied to wireless channels
Feng, Tao
Field, Timothy R.
Haykin, Simon
[J]. IEEE TRANSACTIONS ON COMMUNICATIONS, 2007, 55 (08) : 1478 - 1483
[5] Kloeden P. E., 1992, NUMERICAL SOLUTION S
[6] ksendal B., 2003, Stochastic differential equations
[7] High-accuracy instrumental variable identification of continuous-time autoregressive processes from irregularly, sampled noisy data
Mossberg, Magnus
[J]. IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2008, 56 (08) : 4087 - 4091
[8] Estimation of continuous-time Stochastic signals from sample covariances
Mossberg, Magnus
[J]. IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2008, 56 (02) : 821 - 825
[9] Soderstrom T., 2002, Discrete-time Stochastic Systems: Estimation and Control

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