Signals and systems : a one semester modular course / Khalid Sayood.

Format:

Book

Author/Creator:

Sayood, Khalid, author.

Language:

English

Subjects (All):

System analysis.

Signal theory (Telecommunication).

Physical Description:

1 online resource (390 pages) : illustrations

Place of Publication:

Springer Nature 2022

Summary:

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 numbers-the 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.

Contents:

0 What is This Course About 1 Complex Numbers 2 Functions 3 Special Functions 4 Classification of Systems 5 Linearity and Time Invariance 6 Linearity, Time-Invariance, and the Role of the Impulse Response 7 Properties of LTI Systems 8 Discrete Time Convolution 9 Continuous Time Convolution 10 Fourier Series 11 Fourier Series - Properties and Interpretation 12 The Fourier Transform 13 Properties of the Fourier Transform 14 Some More Useful Properties of the Fourier Transform 15 Sampling 16 Amplitude Modulation 17 Discrete Fourier Transform 18 The Laplace Transform - Introduction 19 Uniqueness and Linearity of the Laplace Transform 20 Laplace Transform - Poles and Zeros 21 The Inverse Laplace Transform 22 Properties of Laplace Transforms 23 Analysis of Systems with Feedback 24 Z-Transform 25 Region of Convergence for the Z-Transform 26 Properties of the Z-Transform 27 The Inverse Z-Transform 28 Filters and Difference Equations 29 Discrete-Time Feedback Systems Author's Biography

Notes:

Includes bibliographical references and index.

Description based on print version record.

ISBN:

9783031025457

3031025458