Time Domain Analysis of Signals and Systems

This chapter focuses on a time domain description and analysis of signals and systems. It begins with a discussion of basic signal operations on which are built other more complex signal manipulations in the time domain, e.g. autocorrelation, convolution, etc. The three basic signal operations covered are namely time shifting, time reversal, and time scaling. It then turns to random signals and develop the basic time domain tools necessary to deal with this very important class of signals. This is followed by a presentation of various standard distribution functions. A detailed treatment of the most common time domain signal analysis and characterisation processes applicable to both random and deterministic signals is then presented. The chapter is then devoted to learning the craft of time domain analysis of linear time invariant systems with an emphasis on gaining a mastery of the convolution operation as applied to continuous‐time and discrete‐time systems.