Signals and Systems / Edition 3

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The third edition of Signals and Systems prepares students for real-world engineering applications. It is concise, focused, and practical. The text introduces basic concepts in signals and systems and their associated mathematical and computational tools. It also stresses the most important concepts in signal analysis (frequency spectra) and system analysis (stability and frequency responses) and uses them throughout, including the study of seismometers and accelerometers.
Signals and Systems, 3/e, introduces every term carefully and develops every topic logically. It distinguishes amplitudes and magnitudes, as well as lumped and distributed systems. It presents engineering concepts as early as possible and discusses transform theory only as needed. Also, the text employs transfer functions and state-space equations only in the contexts where they are most efficient. Transfer functions are used exclusively in qualitative analysis and design, and state-space equations are used exclusively in computer computation and op-amp circuit implementation. Thus, the students' time is focused on learning only what can be immediately used.
Including an author commentary on the best way to approach the text, Signals and Systems, 3/e, is ideal for sophomore- and junior-level undergraduate courses in systems and signals. It assumes a background in general physics (including simple circuit analysis), simple matrix operations, and basic calculus.
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Editorial Reviews

A text for sophomore-junior courses in systems and signals for electrical, mechanical, and system engineering students. Introduces fundamental concepts such as causality, linearity, and lumpedness, and discusses the Laplace, Fourier, and z transforms, frequency spectrum computations, stabilities and their implications, state variable equations, and computer simulations. Assumes a knowledge of general physics, simple circuit analysis, and elementary linear algebra. Discusses the use of the Student Edition of MATLAB. Annotation c. Book News, Inc., Portland, OR (
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Product Details

Meet the Author

CHI-TSONG CHEN is Professor of Electrical Engineering at the State University of New York at Stony Brook and a Fellow of the IEEE. He is the author of more than eighty technical articles and five books, including Digital Signal Processing (OUP, 2001) and Linear System Theory and Design, 3/e (OUP, 1999).

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Table of Contents

Each chapter ends with Problems.
1. Signals
1.1. Introduction
1.2. Continuous-Time (CT), Discrete-Time (DT), and Digital Signals
1.3. Elementary CT Signals
1.4. Manipulations of CT Signals
1.5. Impulse
1.6. Elementary DT Signals and Their Manipulations
1.7. CT Sinusoidal Signals
1.8. DT Sinusoidal Sequences and Nyquist Frequency Range
1.9. Sampling and Frequency Aliasing
2. Systems
2.1. Introduction
2.2. CT Systems with and without Memory
2.3. The Concept of State-Set of Initial Conditions
2.4. Linearity of Memory-less Systems
2.5. Time Invariance and its Implication
2.6. Implications of Linearity and Time Invariance-Zero-State Responses
2.7. Modeling CT LTI Lumped Systems
2.8. Ideal Operational Amplifiers
2.9. Ideal Diodes and Rectifiers
2.10. LTI Discrete-Time Systems
2.11. Conclusion
3. Convolutions, Difference and Differential Equations
3.1. Introduction
3.2. DT Impulse Responses
3.3. DT LTI Systems: Discrete Convolutions
3.4. DT LTIL Systems: Difference Equations
3.6. General Form of Difference Equations
3.7. CT LTI Systems: Integral Convolutions
3.8. CT LTIL Systems: Differential equations
4. Frequency Spectra of CT Signals
4.1. Introduction
4.2. Fourier Series of Periodic Signals: Frequency Components
4.3. Fourier Transform: Frequency Spectra
4.4. Properties of Frequency Spectra
4.5. Frequency Spectra of CT Periodic Signals
4.6. Effects of Truncation
4.7. Time-Limited Bandlimited Theorem
5. Sampling Theorem and FFT Spectral Computation
5.1. Introduction
5.2. Frequency Spectra of DT Signals
5.3. Nyquist Sampling Theorem
5.4. Computing frequency spectra of DT signals
5.5. FFT Spectral Computation of DT Signals
5.6. FFT Spectral Computation of CT Signals
6. CT Transfer Functions: Laplace Transform
6.1. Introduction
6.2. Laplace Transform
6.3. Transfer Functions
6.4. Properties of Laplace Transform
6.5. Inverse Laplace Transform
6.6. Significance of Poles and Zeros
6.7. Stability
6.8. Frequency Responses
6.9. From Laplace Transform to Fourier Transform
6.10. Frequency Responses and Frequency Spectra
6.11. Concluding Remarks
7. Realization, Characterization, and Identification
7.1. Introduction
7.2. Realizations
7.3. Basic Block Diagrams
7.4. Computer Computation of State-Space Equations
7.5. Developing State-Space Equations
7.6. Complete Characterization by Transfer Functions
7.7. Identification by Measuring Frequency Responses
8. Model Reduction, Feedback, and Modulation
8.1. Introduction
8.2. Op-Amp Circuits Using Single-Pole Model
8.3. Seismometers and Accelerometers
8.4. Composite Systems
8.5. Sinusoidal Generators
8.6. Feedback Model of Op-Amp Circuits
8.7. Modulation
8.8. AM Modulation and Asynchronous Demodulation
9. DT Transfer Functions: z-Transform
9.1. Introduction
9.2. z-transform
9.3. DT Transfer Functions
9.4. Properties of z-Transform
9.5. Inverse z-Transform
9.6. Significance of Poles and Zeros
9.7. Stability
9.8. Frequency Responses
9.9. Frequency Responses and Frequency Spectra
9.10. Digital Processing of CT Signals
10. DT State-Space Equations and Realizations
10.1. Introduction
10.2. From Difference Equations to Basic Block Diagrams
10.3. Realizations
10.4. MATLABĀ® Computation
10.5. Complete Characterization by Transfer Functions
Answers to Selected Problems

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