Essentials of signals and systems. (2023)

• Record Type: Book
• Further Information: Note: Emiliano R. Martins.
• Authors: Martins, Emiliano R
• Contents: Chapter 1: Review of Linear Algebra in a two-dimensional Euclidian space 1.1 Introduction 1.2 Vectors, scalar product, and bases 1.3 Linear operators 1.4 The closure relation 1.5 Eigenvectors and eigenvalues 1.6 Representation of operators 1.7 The Dirac notation Chapter 2: Introduction to the theory of representation of signals 2.1 Definition of signals 2.2 The convolution 2.3 The impulse function, or Dirac delta function 2.4 Convolutions with impulse functions 2.5 Impulse functions as a basis: the time domain representation of signals 2.4 A different basis: the frequency domain representation of signals Chapter 3: Introduction to the theory of representation of systems 3.1 Definition of systems 3.2 Properties of systems 3.3 Time domain representation of LTI systems 3.4 Eigenvectors and eigenvalues of LTI systems 3.5 Frequency domain representation of LTI systems 3.6 General relationship between input and output in LTI systems 3.7 The physical meaning of eigenvalues of a LTI system: the impulse and frequency responses 3.8 Conservation of frequency in LTI systems and applications in other fields. Chapter 4: Example of application in electric circuits 4.1 Electric circuits as LTI systems 4.2 Phasors and impedances as a useful trick to find the eigenvalues dispensing with the time domain representation Chapter 5: Filters 5.1 Definition of a filter 5.2 Ideal filters 5.3 Why ideal filters are only ideal 5.4 Low pass filters 5.5 High pass filters 5.6 Bandpass filters 5.7 Introduction to advanced filter design: Butterworth and Chebyshev filters. Chapter 6: The Laplace Transform 6.1 Motivation: stability in LTI systems 6.2 The Laplace transform as a generalization of Fourier Transforms 6.3 The inverse Laplace transform 6.4 Regions of convergence 6.5 Properties of Laplace Transforms Chapter 7: The Discrete Time Fourier Transform (DTFT) 7.1 Discrete signals. 7.2 Fourier representation of discrete signals 7.3 The sampling theorem 7.4 The DTFT 7.5 Properties of the DTFT 7.6 Energy of a discrete signal Chapter 8 The Discrete Fourier Transform (DFT) 8.1 Motivation 8.2 The DFT 8.3 Relationship between DFT and DTFT 8.4 Properties of DFT 8.5 The fft Chapter 9: Discrete systems 9.1 Introduction 9.2 Properties of discrete systems 9.3 Representation of discrete LTI systems Chapter 10: The z-transform 10.1 Motivation: stability in LTI discrete systems. 10.2 The z-transform as a generalization of the DTFT 10.3 Mapping between z and s 10.4 Regions of convergence of the z-transform. 10.5 Properties of the z-transform
• Edition: 1st
• Publisher Details: Hoboken : John Wiley & Sons, Inc
• Publication Date: 2023
• Extent: 1 online resource (336 pages)
• Subjects: 621.38223; Signal theory (Telecommunication); Signals and signaling; Signal processing -- Data processing; Algebras, Linear
• Languages: English
• ISBNs: 9781119909231
• Related ISBNs: 9781119909217
• Notes: Note: Includes bibliographical references and index.; Note: Description based on CIP data; resource not viewed.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.