Circuits, Signals, and Systems

✍ Scribed by William M. Siebert

• Publisher: The MIT Press
• Year: 1985
• Tongue: English
• Leaves: 666
• Category: Library

✦ Synopsis

These twenty lectures have been developed and refined by Professor Siebert during the more than two decades he has been teaching introductory Signals and Systems courses at MIT. The lectures are designed to pursue a variety of goals in parallel: to familiarize students with the properties of a fundamental set of analytical tools; to show how these tools can be applied to help understand many important concepts and devices in modern communication and control engineering practice; to explore some of the mathematical issues behind the powers and limitations of these tools; and to begin the development of the vocabulary and grammar, common images and metaphors, of a general language of signal and system theory.

Although broadly organized as a series of lectures, many more topics and examples (as well as a large set of unusual problems and laboratory exercises) are included in the book than would be presented orally. Extensive use is made throughout of knowledge acquired in early courses in elementary electrical and electronic circuits and differential equations.

Contents: Review of the "classical" formulation and solution of dynamic equations for simple electrical circuits; The unilateral Laplace transform and its applications; System functions; Poles and zeros; Interconnected systems and feedback; The dynamics of feedback systems; Discrete-time signals and linear difference equations; The unilateral Z-transform and its applications; The unit-sample response and discrete-time convolution; Convolutional representations of continuous-time systems; Impulses and the superposition integral; Frequency-domain methods for general LTI systems; Fourier series; Fourier transforms and Fourier's theorem; Sampling in time and frequency; Filters, real and ideal; Duration, rise-time and bandwidth relationships: The uncertainty principle; Bandpass operations and analog communication systems; Fourier transforms in discrete-time systems; Random Signals; Modern communication systems.

Circuits, Signals, and Systems is included in The MIT Press Series in Electrical Engineering and Computer Science, copublished with McGraw-Hill.

✦ Table of Contents

1. Dynamic Equations and Their Solutions for Simple Circuits 1
2. The Unilateral Laplace Transform 43
3. System Functions 72
4. Poles and Zeros 105
5. Interconnected Systems and Feedback 139
6. The Dynamics of Feedback Systems 163
7. Discrete-Time Signals and Linear Difference Equations 207
8. The Unilateral Z-Transform and Its Applications 231
9. The Unit Sample Response and Discrete-Time Convolution 260
10. Convolutional Representations of Continuous-Time Systems 286
    ll. Impulses and the Superposition Integral 314
11. Frequency-Domain Methods for General LTI Systems 364
12. Fourier Transforms and Fourier's Theorem 393
13. Sampling in Time and Frequency 429
14. Filters, Real and Ideal 471
15. Duration-Bandwidth Relationships and the Uncertainty Principle 488
16. Bandpass Operations and Analog Communication Systems 507
17. Fourier Transforms in Discrete-Time Systems 558
18. Averages and Random Signals 595
19. Modern Communication Systems 627
    Epilogue 642
    Index 643

✦ Subjects

Circuits;Signals;Systems;Electronics;Dynamics;Signals and Systems;Computers;