Signals, Systems, and Signal Processing: A Computational Approach

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 Wolfram Language 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.

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

Get started with Wolfram Language using An Elementary Introduction to the Wolfram Language. Core areas of Wolfram Language related to this book include: calculus & algebra, signal processing, audio processing and more.

Information and Media Inquiries

October 18, 2024 Publication
Publicity and Interviews: publishing@wolfram.com
Trim Size: 7" x 10"
Non-Fiction

Distribution by Ingram

Contents

• Preface

• Introduction to Signals and Systems
• Signal Classification
• Elementary Signals and Sequences
• Elementary Operations
• System Properties

• Continuous-Time Systems as Differential Equations
• Differential Equation Solution Methods
• Continuous-Time System Response
• Continuous-Time Convolution

• Discrete-Time Systems as Difference Equations
• Difference Equation Solution Methods
• Discrete-Time System Response
• Discrete-Time Convolution

• Continuous-Time Fourier Series
• Continuous-Time Fourier Transform
• Continuous-Time Fourier Transform Theorems
• Continuous-Time Filters

• Discrete-Time Fourier Series
• Discrete-Time Fourier Transform
• Discrete-Time Fourier Transform Theorems
• Discrete-Time Filters

• Laplace Transform
• Inverse Laplace Transform
• Laplace Transform Theorems
• Unilateral Laplace Transform

• z-Transform
• Inverse z-Transform
• z-Transform Theorems
• Unilateral z-Transform

• Sampling
• FIR Filter Design
• Butterworth Filter
• IIR Filter Design

About the Author

Dr. Mariusz Jankowski is a Professor of Electrical Engineering at the University of Southern Maine, Portland, ME. He has a PhD from The City College of The City University of New York. His scholarly interests are in engineering education, mathematical modeling, and algorithm development for signal and image processing and scientific visualization. He has received awards from the Ames Laboratory (Department of Energy), Wolfram Research, and the University of Southern Maine and grants from the National Science Foundation, the Maine/Department of Energy Established Program to Stimulate Competitive Research (EPSCoR), the Maine/NASA EPSCoR, and the Maine Science and Technology Foundation. He is the developer of commercial software for image processing, a contributor to Wolfram Language functionality and documentation in the areas of image and signal processing, and the author and cocreator of the Signals, Systems and Signal Processing online course for Wolfram U.