6533b7d6fe1ef96bd1266540

RESEARCH PRODUCT

The Wigner Distribution of Sum-of-Cissoids and Sum-of-Chirps Processes for the Modelling of Stationary and Non-Stationary Mobile Channels

Matthias PatzoldCarlos A. Gutierrez

subject

PhysicsSpectral density020206 networking & telecommunications020302 automobile design & engineering02 engineering and technologyTime–frequency analysissymbols.namesake0203 mechanical engineeringMobile stationComputer Science::Networking and Internet Architecture0202 electrical engineering electronic engineering information engineeringsymbolsElectronic engineeringWigner distribution functionFadingStatistical physicsDoppler effectRandom variableMultipath propagationComputer Science::Information Theory

description

This paper concerns the time-frequency analysis of stationary and non-stationary multipath flat fading channels. For the modelling of stationary multipath fading channels, we use a sum-of-cisoids (SOCi) process, while the non-stationary channel is modelled by a sum-of-chirps (SOCh) process that captures the time-variant Doppler effect caused by speed variations of the mobile station. For the time-frequency analysis, we apply the concept of the Wigner distribution. Closed-form solutions are provided for the Wigner distribution of SOCi and SOCh processes. It is shown that the obtained Wigner distributions can be expressed by the sum of an auto-term representing the true Doppler power spectral density (PSD) and an interfering cross-term that does physically not exist. A simple method is proposed to eliminate the interfering cross-term. The proposed method allows tracing the instantaneous Doppler frequencies of multipath fading channels in non-stationary propagation environments, which is an important topic in mobile radio channel modelling.

yearjournalcountryeditionlanguage
2016-05-012016 IEEE 83rd Vehicular Technology Conference (VTC Spring)
https://doi.org/10.1109/vtcspring.2016.7504506