# Description

The study of signals and systems is basic to the discipline of electrical engineering at all levels. It is an extraordinarily rich subject with diverse applications. In fact, for a proper appreciation and application of other areas of electrical engineering, such as signal processing, communication systems and control systems, a comprehensive understanding of signals and systems is essential.

This book presents a modern treatment of signals and systems at an introductory level. As such, its use is geared towards university undergraduate engineering courses and is designed to prepare students in advanced courses in communication systems, control systems and digital signal processing

Chapter 1. Introduction
1.1. What is a signal?
1.2. What is a system?
1.3. Overview of specific systems
1.4. Signal classification
1.5. Basic operations on signals
1.6. Elementary Signals
1.7. Systems seen as interconnections of operations
1.8. System properties
1.9. Exploring concepts with MATLAB
Chapter 2. Representations in the Time Domain for Linear and Invariant Systems with Time
2.1. Introduction
2.2. Convolution: representation of impulse response for LTI systems
2.3. Properties of the impulse response representation for LTI systems
2.4. Representations by Differential and Differential Equations for LTI Systems
2.5. Representations using block diagrams
2.6. State variable descriptions for LTI systems
2.7. Exploring concepts with MATLAB
Chapter 3. Fourier Representations for Signals
3.1. Introduction
3.2. Periodic signals in discrete time: the discrete-time Fourier series
3.3. Periodic signals in continuous time: the Fourier series
3.4. Non-periodic signals in discrete time: the Fourier transform in discrete time
3.5. Non-periodic signals in continuous time: the Fourier transform
3.6. Properties of Fourier Representations
3.7. Exploring concepts with MATLAB
Chapter 4. Applications of Fourier Representations
4.1. Introduction
4.2. Frequency response of LTI systems
4.3. Representations of periodic signals using the Fourier transform
4.4. Convolution and modulation with mixed signals from different classes
4.5. Representation using the Fourier transform for discrete-time signals
4.6. Sampling 4.7. Reconstruction of signals in continuous time from their samples
4.8. Processing in discrete time signals in continuous time
4.9. Representations in Fourier series for non-periodic signals of finite duration
4.10. Applications of discrete-time Fourier series calculation
4.11. Efficient algorithms for evaluating DTFS
4.12. Exploiting concepts with MATLAB
Chapter 5. Applications in Communication Systems
5.1. Introduction
5.2. Modulation tips
5.3. Benefits of modulation
5.4. Full-amplitude modulation
5.5. Modulation of double sideband with suppressed carrier
5.7. Other variants of amplitude modulation
5.8. Pulse amplitude modulation
5.9. Multiplexing
5.10. Phase and group delays
5.11. Exploring concepts with MATLAB
Chapter 6. Representation of Signals Using Continuous Time Complex Exponentials: The Laplace Transform
6.1. Introduction
6.2. The Laplace transform
6.3. The one-sided Laplace transform
6.4. Laplace transform investment
6.5. Solution of differential equations with initial conditions
6.6. The bilateral Laplace transform
6.7. Analysis of systems using the transform
6.8. Exploring concepts with MATLAB
Chapter 7. Representation of Signals Using Complex Exponentials in Discrete Time: Transform Z
7.1. Introduction
7.2. The z-transform
7.3. Properties of the convergence region
7.4. Properties of the Z transform
7.5. Investment of the Z transform
7.6. Analysis by transforming LTI systems
7.7. Programming structure to implement systems in discrete time
7.8. The one-sided z-transform
7.9. Exploring concepts with MATLAB
Chapter 8. Application to Filters and Equalizers
8.1. Introduction
8.2. Conditions for transmission without distortion
8.3. Ideal pass-through filters
8.4. Filter design
8.5. Approach Functions
8.6. Frequency transformations
8.7. Passive filters
8.8. Digital Filters
8.9. FIR digital filters
8.10. IIR digital filters
8.11. Linear distortion
8.12. Equalization
8.13. Exploring concepts with MATLAB
Chapter 9. Application to Feedback Systems
9.1. Introduction
9.2. Basics of Feedback
9.3. Sensitivity analysis
9.4. Effect of Feedback on Disturbance or Noise
9.5. Distortion Analysis
9.6. Cost of feedback
9.7. Operational Amplifiers
9.8. Control system
9.9. Transient response of low order systems
9.10. Specifications in the time domain
9.11. The stability problem
9.12. The Routh - Hurwitz criterion
9.13. Roots locus method
9.14. Reduced order models
9.15. Nyquist stability criterion
9.16. Bode diagram
9.17. Sampled Data Systems
9.18. Design of control systems
9.19. Exploring concepts with MATLAB

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