The generalized Rice lognormal channel model—first and second order statistical characterization and simulation

Abstract

SUMMARYThe Rice-lognormal (RLN) channel model was recently generalized to include an additive scattering component having constant average power. The generalized Rice-lognormal (GRLN) model includes as limiting cases many well-known narrowband models such as, e.g. Rice, lognormal (and combinations), and Loo's. The paper provides the GRLN "rst-order statistical description of envelope and phase, and the second-order statistics in terms of level crossing rate. The paper then provides a "tting procedure to extract model parameters from experimental data. Finally, it presents a new simulation procedure and validates it through comparison with theoretical results.

Maximum Likelihood Estimation of Statistical Properties of Composite Gamma-Lognormal Fading Channels

“…We also applied the BFGS quasi-Newton algorithm, discussed initializing the proposed algorithms, and computed Cramér-Rao bounds for the unknown parameters. The proposed algorithms can be extended to other composite fading-shadowing scenarios, such as Ricelognormal [9]- [10] and multi-input multi-output (MIMO) fading scenarios. Further research will include…”

“…The integral expressions in (8), (10), and (11) are efficiently and accurately evaluated using the GaussHermite quadrature formula:…”

Diversity receiver design and channel statistic estimation in fading channels

“…A composite fading-shadowed environment consists of mul tipath fading superimposed on lognormal shadowing. This is often the scenario in congested downtown areas with slow moving pedestrians and vehicles [48,95], landmobile satellite sys tems subject to urban shadowing [79,101], and distributed antenna systems [87,88]. In this work, we study the composite gamma-lognormal fading, whose PDF is obtained by averaging the gamma distributed signal power over the conditional density of the lognormally distributed mean signal power.…”

“…We also applied the BFGS quasi-Newton algorithm, discussed initializing the proposed algorithms, and com puted Cramer-Rao bounds for the unknown parameters. The proposed algorithms can be extended to other composite fading-shadowing scenarios, such as Rician-lognormal [28,101] and MIMO fading scenarios.…”

“…Composite fading-shadowing models are used to describe the statistic properties of wireless communication channels in congested downtown areas [48,95], satellite communication systems [79,101], and distributed antenna systems [87,88]. Particularly, we consider a composite gamma-lognormal fading model.…”