Comments on Signals and Systems

Abstract

To prepare the mechatronic foundation of active noise control, this chapter contains some elements of system theory. Since we will be talking about active noise control systems and signals, it is necessary to define these terms. Furthermore, it is necessary to introduce values and functions that can be used to characterize signals and systems in time domain but also in frequency domain. However, it is not intended to present a compact summary of system theory that is in great detail presented in textbooks, such as in (Cadzov and van Landingham in Signals, systems, and transforms, Prentice Hall, New Jersey, 1985), (Fliege in Systemtheorie, Teubner, Stuttgart, 1991), (Girod et al. in Einfuhrung in die Systemtheorie, Teubner, Stuttgart, 2005), (Johnson in Digitale Signalverarbeitung, Hanser, Munchen in Cooperation with Prentice Hall International, London, 1991), (Oppenheim and Willsky in Signale und Systeme—Lehrbuch, VCH Verlagsgesellschaft, Weinheim, 1989), (Sundararajan in A practical approach to signals and systems, Wiley Eastern, Singapore, 2008), (Ziemer et al. in Signals and systems, continuous and discrete, Macmillan, New York, 1983). A description of stochastic signals and random vibrations of both linear and non-linear mechanical systems is to be found in (Lajos in Zufallsschwingungen und ihre Behandlung, Springer, Berlin, 1973), whereas digital audio signal processing is discussed in (Zolzer in Digital audio signal processing, Wiley, Chichester, 2008).