Abstract
This chapter focuses on the representation and analysis of continuous-time signals and systems. A classification of signals indicating the way a signal is stored, processed, or both is done by using practical characteristics of signals. Continuous-time signals are functions of time-carrying information. Such a signal can be thought of as a continuously varying voltage that can be transformed into an audible acoustic signal. For a time-dependent signal, time and amplitude vary continuously or discretely. The amplitude of either a continuous-time or a discrete time signal can vary continuously or discretely. Thus, continuous-time signals can be continuous amplitude as well as discrete-amplitude signals. The chapter also discusses basic signal operations used in the representation and processing of signals such as signal addition, constant multiplication, time and frequency shifting, time scaling, and time windowing. Basic signal representation shows that any signal can be represented using basic signals. In particular, the representation in terms of sinusoids is of great interest as it allows the development of the so-called Fourier representation that is essential in the development of the theory of linear systems. The chapter also discusses signal manipulation, which means to delay or advance a signal, to reflect it, or to find its odd or even components. These are signal operations that help in their representation and processing.
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