Title :
N-dimensional uniform probability distribution in nonlinear autoregressive filter structures
Author :
Kelber, Kristina
Author_Institution :
Fac. of Electr. Eng., Tech. Univ. Dresden, Germany
fDate :
9/1/2000 12:00:00 AM
Abstract :
In this brief, we consider a class of nonlinear discrete-time systems and prove conditions for the generation of signals with n-dimensional uniform probability distribution. To obtain this result we prove the invariance of the Frobenius-Perron-Operator on a finite-dimensional function space. Spectral properties of the generated signal, as well as the influence of an input signal on the signal characteristics are discussed.
Keywords :
autoregressive processes; chaos generators; discrete time filters; nonlinear dynamical systems; nonlinear filters; probability; recursive filters; Frobenius-Perron operator; N-dimensional uniform probability distribution; chaos generator; discrete time system; nonlinear autoregressive filter; nonlinear dynamical system; recursive filter; signal generation; statistical analysis; Chaos; Character generation; Filters; Mathematical model; Nonlinear dynamical systems; Piecewise linear techniques; Probability distribution; Signal generators; State-space methods; Statistical analysis;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
