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This book introduces the mathematical models used to design and understand signals and systems. It is intended for students interested in developing a deep understanding of how to digitally create and manipulate signals to measure and control the physical world and to enhance human experience and communication.
Signals convey information. Systems transform signals. This book introduces the mathematical models used to design and understand both. It is intended for students interested in developing a deep understanding of how to digitally create and manipulate signals to measure and control the physical world and to enhance human experience and communication.This book is based on several years of successful classroom use at the University of California, Berkeley. The material starts with an early introduction to applications, well before students have built up enough theory to fully analyze the applications. This motivates students to learn the theory and allows students to master signals and systems at the sophomore level. The material motivates signals and systems through sound and images. Calculus is the only prerequisite.
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Module I:Signals and systems as seen in everyday life, and in various branches of engineering and science. Energy and power signals, continuous and discrete time signals, continuous and discrete amplitude signals.
Module IV:Evolution of Transforms: Fourier Transform, Laplace Transform , Z-transform (single sided and Double sided) The Laplace Transform, notion of eigen functions of LSI systems, a basis of eigen functions, region of convergence, poles and zeros of system, , solution to differential equations and system behaviour using Laplace Transformation The z-Transform for discrete time signals and systems- eigen functions, region of convergence, z-domain analysis.
Module V:The Sampling Theorem and its implications- Spectra of sampled signals. Reconstruction: ideal interpolator, zero-order hold, first-order hold, and so on. Aliasing and its effects. Relation between continuous and discrete time systems.
The text provides a balanced and integrated treatment of continuous-time and discrete-time forms of signals and systems intended to reflect their roles in engineering practice. This approach has the pedagogical advantage of helping the reader see the fundamental similarities and differences between discrete-time and continuous-time representations. It includes a discussion of filtering, modulation and feedback by building on the fundamentals of signals and systems covered in earlier chapters of the book.
This new textbook in signals and systems provides a pedagogically rich approach to what can commonly be a mathematically dry subject. With features like historical notes, highlighted common mistakes, and applications in controls, communications, and signal processing, Chaparro helps students appreciate the usefulness of the techniques described in the book. Each chapter contains a section with MatLab applications.
A signal is a description of how one parameter varies with another parameter. For instance, voltage changing over time in an electronic circuit, or brightnessvarying with distance in an image. A system is any process that produces anoutput signal in response to an input signal. This is illustrated by the blockdiagram in Fig. 5-1. Continuous systems input and output continuous signals,such as in analog electronics. Discrete systems input and output discretesignals, such as computer programs that manipulate the values stored in arrays.
Signals and systems are frequently discussed without knowing the exactparameters being represented. This is the same as using x and y in algebra,without assigning a physical meaning to the variables. This brings in a fourthrule for naming signals. If a more descriptive name is not available, the inputsignal to a discrete system is usually called: x[n], and the output signal: y[n]. For continuous systems, the signals: x(t) and y(t) are used. 153554b96e
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