A. Nakagaki et al., ADAPTIVE SPECTRUM ESTIMATION CONSIDERING THE TIME-VARIATION IN ANALYSIS INTERVALS, Electronics and communications in Japan. Part 3, Fundamental electronic science, 79(12), 1996, pp. 38-47
In spectrum estimation of nonstationary signals, the modelling of time
-varying characteristics and the parameter estimation of the model are
important. Several adaptive estimation methods such as the recursive
least squares (RLS) method are often used for parameter estimation of
time-varying models. However, the RLS method becomes less efficient fo
r rapidly time-varying models because this method assumes short-time s
tationarity. This paper proposes an adaptive estimation method of time
-varying parameters modelled as linear combinations of a set of basis
functions. In this method, linear or exponential time functions are em
ployed as basis functions. This algorithm is realized by the RLS algor
ithm with a rectangular window and a procedure that shifts basis funct
ions. In some experiments, the performance of the proposed method is c
ompared with that of the conventional method with short-time stationar
ity assumed.