Scalar Systems, Signal Processing

Abstract

In this chapter a new class of methods, the rational methods are introduced. These methods are mathematically described by linear time-invariant systems having a rational transfer function. A system is a mathematical abstraction of a physical model (mechanical, electrical) . It has an input-output relationship described by a differential or difference equation, an impulse response function or a transfer function. The internal structure is usually of minor interest and has generally no physical significance but general attributes such as stability, and minimal realization have to be investigated.