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The wigner distribution of sum-of-cissoids and sum-of-chirps processes for the modelling of stationary and non-stationary mobile channels
Doppler effect; Fading (radio); Fading channels; Multipath propagation; Power spectral density; Spectral density; Closed form solutions; Doppler power spectral density; Flat-fading channels; Mobile radio channel modelling; Non-stationary channels; Propagation environment; Time frequency analysis; Wigner Distribution; Multipath fading
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. © 2016 IEEE.
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