Discrete Time-Frequency Models of Generalized Dispersive Systems

Ih this paper, we propose a discrete characterization of dispersive time-varying systems. Based on a unitary warping relation with the narrowband system model, we formulate a representation that decomposes the system output as a weighted superposition of sampled signal transformations that reflect the dispersive system characteristics. Such discrete representations can be important in designing wave-forms for transmission through dispersive systems with improved processing performance. We demonstrate the usefulness of our proposed model by applying it to a shallow water acoustic environment characterized by nonlinear frequency dispersions