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Signals, Systems, and Society by Carlos E. Davila - HTML preview
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Signals, Systems, and Society
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Signals, Systems, and Society
Table of Contents
Chapter
1
.
Introduction to Continuous-Time Signals
1.1
.
Continuous-Time Signals: Introduction
1.2
.
Signal Power, Energy, and Frequency
1.3
.
Basic Signal Operations
1.4
.
Complex Numbers and Complex Arithmetic
1.5
.
Periodic Signals
1.6
.
Sinusoidal Signals
Sinusoidal Signals
1.7
.
Introduction to Continuous-Time Signals: Exercises
Chapter
2
.
Fourier Series of Periodic Signals
2.1
.
Symmetry Properties of Periodic Signals
2.2
.
Trigonometric Form of the Fourier Series
2.3
.
Half-Wave Symmetry
Half-Wave Symmetry
2.4
.
Convergence of the Fourier Series
2.5
.
Complex Form of the Fourier Series
2.6
.
Parseval's Theorem for the Fourier Series
2.7
.
The Fourier Series: Exercises
Chapter
3
.
The Fourier Transform
3.1
.
Derivation of the Fourier Transform
3.2
.
Properties of the Fourier Transform
Properties of the Fourier Transform
3.3
.
Symmetry Properties of the Fourier Transform
3.4
.
The Unit Impulse Function
The Unit Impulse Function
3.5
.
The Unit Step Function
3.6
.
Fourier Transform of Common Signals
Fourier Transform of Common Signals
Rectangular pulse
Impulse
Complex Exponential
Cosine
Real Exponential
The Unit Step Function
3.7
.
Fourier Transform of Periodic Signals
3.8
.
Filters
3.9
.
Properties of Convolution Integrals
3.10
.
Evaluation of Convolution Integrals
3.11
.
Frequency Response
3.12
.
The Sinusoidal Steady State Response
3.13
.
Parallel and Cascaded Filters
3.14
.
First Order Filters
3.15
.
Parseval's Theorem for the Fourier Transform
3.16
.
The Fourier Transform: Excercises
Exercises
Chapter
4
.
The Laplace Transform
4.1
.
The Laplace Transform: Introduction
The Double-Sided Laplace Transform
The Single-Sided Laplace Transform
4.2
.
Properties of the Laplace Transform
Properties of the Laplace Transform
Linearity
Time Delay
s-Shift
Multiplication by
t
Time Scaling
Convolution
Differentiation
Higher Order Derivatives
Integration
The Initial Value Theorem
The Final Value Theorem
4.3
.
Laplace Transforms of Common Signals
Laplace Transforms of Some Common Signals
Exponential Signal
Unit Step Function
Ramp Signal
Cosine Signal
More Transform Pairs
4.4
.
Finding the Inverse Laplace Transform
Finding the Inverse Laplace Transform
Using Transform Tables
Partial Fraction Expansions
Distinct Poles:
Repeated Poles:
Distinct and Repeated Poles:
Complex Conjugate Poles:
4.5
.
Transfer Functions and Frequency Response
4.6
.
Stability
Filter Stability
4.7
.
Second-Order Filters
Second-Order Lowpass Filters
Second-Order Filter Implementation
Frequency Response of Second-Order Bandpass Filter
4.8
.
Bode Plots
Bode Plots
4.9
.
The Laplace Transform: Excercises
Exercises
Appendix
A
.
References for Signals, Systems, and Society
A.1
.
Index
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