Signals, Systems, and Signal Processing provides a concise but comprehensive introduction to the concepts and methods of signals and linear time-invariant (LTI) systems that lie at the core of many applications in control, telecommunications, audio signal processing, speech recognition, computer vision, financial and genomic data analysis, sonar, radar, and more. The topics presented in this text are a mainstay of almost every electrical, computer, and biomedical engineering degree program worldwide. These topics include:

• Mathematical representations of continuous-time and discrete-time signals and LTI systems in time and frequency
• Analysis of signals and LTI systems using Fourier, Laplace, and z-transforms
• Sampling of continuous-time signals
• An elementary introduction to filter design and signal processing

The ebook contains interactive code, over one hundred fully worked examples, and over two hundred end-of-chapter exercises. Detailed solutions to all the exercises are available for download at wolfr.am/eTextbook-SSSP.

Videos for the topics covered in this ebook are available in the interactive Wolfram U course Signal, Systems, and Signal Processing.

Contents

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Preface
Signals and Systems
Introduction to Signals and Systems · Signal Classification · Elementary Signals and Sequences · Elementary Operations · System Properties
Time-Domain Analysis (Continuous)
Continuous-Time Systems as Differential Equations · Differential Equation Solution Methods · Continuous-Time System Response · Continuous-Time Convolution
Time-Domain Analysis (Discrete)
Discrete-Time Systems as Difference Equations · Difference Equation Solution Methods · Discrete-Time System Response · Discrete-Time Convolution
Fourier Analysis (Continuous)
Continuous-Time Fourier Series · Continuous-Time Fourier Transform · Continuous-Time Fourier Transform Theorems · Continuous-Time Filters
Fourier Analysis (Discrete)
Discrete-Time Fourier Series · Discrete-Time Fourier Transform · Discrete-Time Fourier Transform Theorems · Discrete-Time Filters
Laplace Transform
Laplace Transform · Inverse Laplace Transform · Laplace Transform Theorems · Unilateral Laplace Transform
z-Transform
z-Transform · Inverse z-Transform · z-Transform Theorems · Unilateral z-Transform
Sampling and Filter Design
Sampling · FIR Filter Design · Butterworth Filter · IIR Filter Design
Sample Exam Related Topics

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Engineering