Title :
A Stochastic Differential Equation for Wireless Channels Based on Jakes´ Model with Time-Varying Phases
Author :
Mossberg, Magnus ; Irshad, Yasir
Author_Institution :
Dept. of Phys. & Electr. Eng., Karlstad Univ., Karlstad
Abstract :
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.
Keywords :
Doppler shift; differential equations; stochastic processes; time-varying channels; wireless channels; Doppler shifts; Jakes model; Wiener processes; electric field scattering; stochastic differential equation; time-varying phases; wireless channels; Covariance matrix; Differential equations; Doppler shift; Indium tin oxide; Parameter estimation; Physics; Scattering; Signal generators; Stochastic processes; Modeling; electric field; stochastic differential equation; wireless channel;
Conference_Titel :
Digital Signal Processing Workshop and 5th IEEE Signal Processing Education Workshop, 2009. DSP/SPE 2009. IEEE 13th
Conference_Location :
Marco Island, FL
Print_ISBN :
978-1-4244-3677-4
Electronic_ISBN :
978-1-4244-3677-4
DOI :
10.1109/DSP.2009.4785994
