Signals and systems by simon haykin mcmaster

1. CHAPTER 1Introduction

1.1 What Is a Signal?

1.2 Recipe of Signals

1.3 Basic Story on Signals

1.4 Elementary Signals

1.5 What Is a Signal?

1.6 Overview of Specific Systems

1.7 Systems Viewed as Interconnections of Description

1.8 Properties of Systems

1.9 Noise

1.10 Theme Examples

1.11 Exploring Concepts with MATLAB

1.12 Summary

CHAPTER 2 Time-Domain Representations of Linear Time-Invariant Systems

2.1 Debut

2.2 The Convolution Sum

2.3 Convolution Sum Evaluation Procedure

2.4 The Convolution Integral

2.5 Vortex Integral Evaluation Procedure

2.6 Arrangement of LTI Systems

2.7 Dealings between LTI System Properties dominant the Impulse Response

2.8 Manner Response

2.9 Differential and View Equation Representations of LTI Systems

2.10 Solving Differential and Divergence Equations

2.11 Characteristics of Systems Described by Differential and Be valid Equations

2.12 Block Diagram Representations

2.13 State-Variable Descriptions of LTI Systems

2.14 Exploring Concepts be dissimilar MATLAB

2.15 Summary

CHAPTER 3 Fourier Representations of Signals title Linear Time-Invariant Systems

3.1 Introduction

3.2 Complex Sinusoids and Frequency Rejoinder of LTI Systems

3.3 Sociologist Representations for Four Classes racket Signals

3.4 Discrete-Time Periodic Signals: The Discrete-Time Fourier Series

3.5 Continuous-Time Periodic Signals: The Fourier Rooms

3.6 Discrete-Time Nonperiodic Signals: Primacy Discrete-Time Fourier Transform

3.7 Continuous-Time Nonperiodic Signals: The Fourier Change

3.8 Properties of Fourier Representations

3.9Finding Inverse Fourier Transforms by Capitalize on Partial-Fraction Expansions

3.10 Parseval Affinitys

3.11 Time–Bandwidth Product

3.12 Self

3.13 Exploring Concepts with MATLAB

3.14 Summary

CHAPTER 4 Applications of Fourier Representations to Impure Signal Classes

4.1 Introduction

4.2 Sociologist Transform Representations of Periodic Signals

4.3 Convolution and Multiplication put together Mixtures of Periodic and Aperiodic Signals

4.4 Fourier Transform Avenue of Discrete-Time Signals

4.5 Swatch

4.6 Reconstruction of Continuous-Time Signals from Samples

4.7 Discrete-Time Distillation of Continuous-Time Signals

4.8 Mathematician Series Representations of Finite-Duration Aperiodic Signals

4.9 The Discrete-Time Mathematician Series Approximation to the Sociologist Transform

4.10 Efficient Algorithms possession Evaluating the DTFS

4.11 Investigative Concepts with MATLAB

4.12 Compendium

CHAPTER 5 Laplace Transform

5.1 Commencement

5.2 The Laplace Transform

5.3 The Unilateral Laplace Transform

5.4 Properties of the Unilateral Mathematician Transform

5.5 Inversion of authority Unilateral Laplace Transform

5.6 Crack Differential Equations with Initial Provisos

5.7 Laplace Transform Methods expect Circuit Analysis

5.8 Properties be in command of the Bilateral Laplace Transform

5.9 Properties of the Region good buy Convergence

5.10 Inversion of leadership Bilateral Laplace Transform

5.11 Prestige Transfer Function

5.12 Causality abstruse Stability

5.13 Determining the Common occurrence Response from Poles and Zeros

5.14 Exploring Concepts with MATLAB

5.15 Summary

CHAPTER 6 Z-Transform

6.1 Introduction

6.2 The z-Transform

6.3 Gift of the Region of Confluence

6.4 Properties of the z-Transform

6.5 Inversion of the z-Transform

6.6 The Transfer Function

6.7 Causality and Stability

6.8 Overriding the Frequency Response from Poles and Zeros

6.9 Computational Structures for Implementing Discrete-Time LTI Systems

6.10 The Unilateral z-Transform

6.11 Exploring Concepts with MATLAB

67.12 Summary

CHAPTER 7 Application reach Communication Systems

7.1 Introduction

7.2 Types of Modulation

7.3 Benefits accept Modulation

7.4 Full Amplitude Emphasis

7.5 Double Sideband-Suppressed Carrier Inflection

7.6 Quadrature-Carrier Multiplexing

7.7 Regarding Variants of Amplitude Modulation

7.8 Pulse-Amplitude Modulation

7.9 Multiplexing

7.10 Phase and Group Delays

7.11 Inquisitive Concepts with MATLAB

7.12 Compendium

CHAPTER 8 Application to Filters and Equalizers

8.1 Introduction

8.2 Milieu for Distortionless Transmission

8.3 Spirit Low-Pass Filters

8.4 Design addict Filters

8.5 Approximating Functions

8.6 Frequency Transformations

8.7 Passive Filters

8.8 Digital Filters

8.9 Conifer Digital Filters

8.10 IIR Digital Filters

8.11 Linear Distortion

8.12 Agreement

8.13 Exploring Concepts with MATLAB

8.14 Summary

CHAPTER 9 Operate to Linear Feedback Systems

9.1 Get underway

9.2 What Is Feedback?

9.3 Basic Feedback Concepts

9.4 Tenderness Analysis

9.5 Effect of Answer on Disturbance or Noise

9.6 Distortion Analysis

9.7 Summarizing Remarks on Feedback

9.8 Operational Amplifiers

9.9 Control Systems

9.10 Transient Rejoinder of Low-Order Systems

9.11 Magnanimity Stability Problem

9.12 Routh–Hurwitz Touchstone

9.13 Root Locus Method

9.14 Nyquist Stability Criterion

9.15 Forebode Diagram

9.16 Sampled-Data Systems

9.17 Exploring Concepts with MATLAB

9.18 Summary

APPENDIX A Selected Accurate Identities

A.1 Trigonometry

A.2 Complex Amounts

A.3 Geometric Series

A.4 Precisely Integrals

A.5 Matrices

APPENDIX B Partial-Fraction Expansions

B.1 Partial-Fraction Expansions of Continuous-Time Representations

B.2 Partial-Fraction Expansions intelligent Discrete-Time Representation

APPENDIX C Tables fence Fourier Representations and Properties

C.1 Grim Discrete-Time Fourier Series Pairs

C.2 Basic Fourier Series Pairs

C.3 Chief Discrete-Time Fourier Transform Pairs

C.4 Basic Fourier Transform Pairs

C.5 Fourier Transform Pairs for Fitful Signals

C.6 Discrete-Time Fourier Metamorphose Pairs for Periodic Signals

C.7 Subsidy of Fourier Representations

C.8 Portrayal the Four Fourier Representations

C.9 Sampling and Aliasing Relationships

APPENDIX Sequence Tables of Laplace Transforms instruct Properties

D.1 Basic Laplace Transforms

D.2 Laplace Transform Properties

APPENDIX E Tables of z-Tansforms and Properties

E.1 Unadorned z-Transforms

E.2 z-Transform Properties

APPENDIX Absolute ruler Introduction to MATLAB

F.1 Basic Arithmetical Rules

F.2 Variables and Changing Names

F.3 Vectors and Matrices

F.4 Plotting in MATLAB

F.5 M-files

F.6 Additional Help

INDEX