A Generative Deterministic Model for Digital Mobile Fading Channels

Abstract

Abstract-In this letter, a novel generative deterministic model (GDM) is proposed for the simulation of error processes encountered in digital mobile fading channels. The proposed GDM is simply a properly parameterized deterministic process followed by a threshold detector and two mappers. Simulation results show that this generative model enables us to match very closely any given error-free run distribution (EFRD) and error cluster distribution (ECD) of the underlying descriptive model. Index Terms-Burst error statistics, deterministic processes, digital mobile fading channels, generative models.

A study on burst error statistics and error modelling for MB-OFDM UWB systems

“…THE DPBGM The invention of DPBGMs [11]- [14] originates from two aspects. First, the well-known close relationship between the statistics of burst errors and the second order statistics of fading envelope processes indicates the possibility of developing generative models based on fading processes.…”

“…Second, deterministic fading processes demonstrate advantages when employed as channel models since the model parameters can easily be determined and their implementation on a computer is very efficient. The idea of DPBGMs has already been applied to a coherent QPSK system with a Rayleigh fading channel [11], a FH convolutionally coded Gaussian minimum shift keying (GMSK) transmission system in the presence of Rayleigh fading channels [12], and realistic 2.5G mobile communication systems: Enhanced General Packet Radio Service (EGPRS) [13], [14]. In this section, we will follow the line of [13], [14] and develop a DPBGM suitable for MB-OFDM UWB systems.…”

“…For simplicity, we choose the following time-continuous deterministic process [11]- [14] (:(t) = JA1(t) +jA/2(t)l (1) where Ni Ai (t) = Cin CoS(27rfi,nt + Oi,n) , i = 1, 2. (2) n=1 Here, Ni defines the number of sinusoids, Ci,n, fi,n, and Oi,n are called the gains, the discrete frequencies, and the phases, respectively.…”

“…Three other categories of generative models have error generation mechanisms different from traditionally used Markov chains. They are based on chaos equations [9], stochastic contextfree grammars [10], and deterministic processes [11]- [14]. Particularly, deterministic process based generative models (DPBGMs) in [12]- [14] were shown to be able to provide excellent fittings to the desired burst error statistics of target error sequences.…”

“…Although DPBGMs have successfully been applied to narrowband [11]- [14] and wideband [13], [14] systems, their applicability to UWB systems is still an open problem. The aim of this paper is to fill the gaps.…”