6533b7d0fe1ef96bd125b686

RESEARCH PRODUCT

Analysis of the level-crossing rate and average duration of fades of WSSUS channels

Neji YoussefMatthias PatzoldNazih Hajri

subject

Orthogonal frequency-division multiplexingStochastic process020206 networking & telecommunicationsAbsolute value02 engineering and technologyFunction (mathematics)Transfer functionDelay spreadTime–frequency analysissymbols.namesake0202 electrical engineering electronic engineering information engineeringElectronic engineeringsymbols020201 artificial intelligence & image processingStatistical physicsDoppler effectComputer Science::Information TheoryMathematics

description

Studies of the level-crossing rate (LCR) and the average duration of fades (ADF) are so far only devoted to stochastic processes being a function of one independent variable, which is usually time or in some few cases frequency. In this paper, we study the LCR (ADF) of wide-sense stationary uncorrelated scattering (WSSUS) processes in the time-frequency domain. A closed-form solution will be derived for the so-called time-frequency LCR (ADF) of the absolute value of the time-variant transfer function (TVTF) of WSSUS processes. It is shown that the LCR (ADF) is circularly symmetric in the normalized time-frequency domain. The derived time-frequency LCR contains the time LCR and frequency LCR well known in the literature as special cases. The importance of the introduced time-frequency LCR is demonstrated by introducing a new method for the estimation of the Doppler spread and the delay spread from measured TVTFs of WSSUS channels.

https://doi.org/10.23919/eucap.2017.7928073