The class of periodic bilinear ARCH model is presented,and some probabilistic properties of the model are discussed,we give several sufficient conditions for the existence of strict periodic stationarity and periodic ergodicity of the model.

By precoding the successive orthogonal frequency division multiplexing (OFDM) blocks with unequal sizes, a cyclostationarity is introduced in the received signals, so the channel can be identified blindly.

A cyclostationarity-based,blind algorithm for estimating delay and frequency offset in OFDM systems;

A Cyclostationarity-Based Blind Algorithm for Estimating Time-Frequency Parameters in OFDM Systems;

A Cyclostationarity-Based Approach to Blind Channel Identification for an OFDM System;

The strict stationarity and ergodicity of this model are discussed.

And basing on the background, we develop a family of GARCH model h~δ_t=g_(t-1)+c_(t-1)h~ρ_(t-1), then discuss the strict stationarity and ergodicity of a family of GARCH models ,and give the sufficient conditions for the existence of higher-order moments of the models.

In this paper, the author discuss the strict stationary property and the ergodicity of a new model for asymmetric general autoregressive conditional heteroskedasticity, and give the sufficient conditions for the existence of evenorder moments of the model.

This paper constructs the probability model of multi-value additive clock combined generator,and discusses homogeneous Markov property,ergodic property,strict placidity,numeral character and the property of large numbers of the random variables sequenc with this kind of output sequence.