This book is designed for use as a textbook for a one semester Signals and Systems class. It is sufficiently user friendly to be used for self study as well. It begins with a gentle introduction to the idea of abstraction by looking at numbersthe one highly abstract concept we use all the time. It then introduces some special functions that are useful for analyzing signals and systems. It then spends some time discussing some of the properties of systems; the goal being to introduce the idea of a linear time-invariant system which is the focus of the rest of the book. Fourier series, discrete and continuous time Fourier transforms are introduced as tools for the analysis of signals. The concepts of sampling and modulation which are very much a part of everyday life are discussed as applications of the these tools. Laplace transform and Z transform are then introduced as tools to analyze systems. The notions of stability of systems and feedback are analyzed using these tools.

The book is divided into thirty bite-sized modules. Each module also links up with a video lecture through a QR code in each module. The video lectures are approximately thirty minutes long. There are a set of self study questions at the end of each module along with answers to help the reader reinforce the concepts in the module.

PrefaceAcknowledgmentsWhat is This Course AboutComplex NumbersFunctionsSpecial FunctionsClassification of SystemsLinearity and Time InvarianceLinearity, Time-Invariance, and the Role of the Impulse ResponseProperties of LTI SystemsDiscrete Time ConvolutionContinuous Time ConvolutionFourier SeriesFourier Series Properties and InterpretationThe Fourier TransformProperties of the Fourier TransformSome More Useful Properties of the Fourier TransformSamplingAmplitude ModulationDiscrete Fourier TransformThe Laplace Transform IntroductionUniqueness and Linearity of the Laplace TransformLaplace Transform Poles and ZerosThe Inverse Laplace TransformProperties of Laplace TransformsAnalysis of Systems with FeedbackZ-TransformRegion of Convergence for the Z-TransformProperties of the Z-TransformThe Inverse Z-TransformFilters and Difference EquationsDiscrete-Time Feedback SystemsAuthors Biography