Title :
Systems with exponential eigenfunctions and exponential-input/constant-output operators
Author :
Aguiar, Pedro M Q ; Garcia, Francisco M
Author_Institution :
Inst. de Sistemas e Robotica, Inst. Superior Tecnico, Lisbon, Portugal
Abstract :
Vaidyanathan (1999) and Ferreira (1999) reported on nonlinear systems with exponential eigenfunctions. In this letter, we introduce a larger class of such systems, generated from a special family of exponential-input/constant-output operators that capture exponential signals from general inputs. In particular, we extend the classes of systems with exponential eigenfunctions defined in Vaidyanathan and Ferreira to include causal nonhomogeneous time-varying systems.
Keywords :
eigenvalues and eigenfunctions; nonlinear systems; time-varying systems; causal nonhomogeneous time-varying systems; exponential eigenfunctions; exponential signals; exponential-input/constant-output operators; general inputs; nonlinear systems; Eigenvalues and eigenfunctions; Nonlinear systems; Signal generators; Signal mapping; Time varying systems;
Journal_Title :
Signal Processing Letters, IEEE
