In the first part of this paper we introduce a measurement of nonstati
onarity based upon the correlation of an AR-model coefficients at two
successive instants. In the second part we propose a new method for th
e tracking of rapidly time-varying processes with a complementary mode
lling. This method is based on the filtering of the signal with two co
mplementary filters (high and low), both of these signals are modeled
with an AR-structure. AR coefficients are determined by a version of K
alman filter adapted to time-varying processes. AR-model of rapidly no
nstationary signal is obtained by a synthesis of the two AR-models of
filtered signals and the expression of the filters.