Introduction of linear cyclostationary filters to model time-variant channels

In modern telecommunications, the transmission systems are often modelised by linear time-varying filters and linear random filters. We recall the definitions of the linear time-invariant and periodic time-varying filter. The authors generalize then the definition of linear stationary filter into a particular case of the linear random filter, the linear cyclostationary filter. The optimal reconstruction method of a signal submitted to a cyclostationary filter is introduced. It is particularly difficult to apply. Thus, we present a suboptimal reconstruction method. We apply this result to a signal submitted to a particular cyclostationary filter. The signal is in fact filtered successively through a linear periodic time-varying filter and submitted to a stationary jitter. We obtain reconstruction results in the case of a transmission of N.R.Z. signals