Practical Signals Theory with MATLAB Applications

ISBN-10: 1118115392
ISBN-13: 9781118115398
Edition: 2014
Authors: Richard J. Tervo
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Description: The 1st edition of Tervo’s Practical Signals Theory with MATLAB Applications offers an organized presentation around applications that introduces the actual behavior of specific signals and uses them to motivate presentation of mathematical  More...

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Book details

List price: $219.99
Copyright year: 2014
Publisher: John Wiley & Sons, Limited
Publication date: 3/12/2013
Binding: Hardcover
Pages: 480
Size: 7.50" wide x 10.50" long x 0.75" tall
Weight: 1.936
Language: English

The 1st edition of Tervo’s Practical Signals Theory with MATLAB Applications offers an organized presentation around applications that introduces the actual behavior of specific signals and uses them to motivate presentation of mathematical concepts. The text sequences the presentation of the major transforms by their complexity to help visualize phenomena from an equation to develop intuition and learn to analyze signals by inspection. Furthermore the text provides examples and problems designed to use MATLAB, making presentation more in line with modern engineering practice. Key features include: actual signal behavior presented first, from which mathematical theory is derived (most competitors do the opposite); an integrated CT/DT coverage; MATLAB integrated throughout; extensive use of innovative applications in examples and problems; and an emphasis on developing student intuition via analysis by inspection.

Useful Information (inside cover / endpaper)
Identities
Definite Integrals
Infinite Series
Orthogonality
Signal Inner Product
Convolution
Fourier Series
Complex Fourier Series
Fourier Transform
Laplace Transform
z-Transform
List of Acronyms
Introduction to Signals and Systems
Introduction
What is a Signal?
What is a System?
Introduction to Signal Manipulation
Linear Combination
Addition and Multiplication of Signals
Visualizing Signals - An Important Skill
Introduction to Signal Manipulation Using MATLAB
Defining Signals
Basic Plotting Commands
Multiple Plots on One Figure
A Few Useful Signals
The Unit Rectangle rect(t)
The Unit Step u(t)
Reection about t = 0
The Exponential ext
The Unit Impulse _(t)
The Sifting Property of _(t)
Sampling Function
The Sinusoidal Signal
The One-Sided Cosine Graph
Phase Change - _
Sine vs Cosine
Combining Signals: The Gated Sine Wave
Combining Signals: A Dial Tone Generator
Useful Hints and Help with MATLAB
Annotating Graphs
Conclusions
End of Chapter Exercises
Classification of Signals
Introduction
Periodic Signals
Sinusoid
Half-wave Rectified Sinusoid
Full-wave Rectified Sinusoid
Square Wave
Sawtooth Wave
Pulse Train
Rectangular Wave
Triangle wave
Impulse Train
Odd and Even Signals
Combining Odd and Even signals
The constant value s(t) = A
Trigonometric Identities
The Modulation Property
Energy and Power Signals
Periodic Signals = Power Signals
Comparing Signal Power: The Decibel (dB)
Complex Signals
Discrete Time Signals
Digital Signals
} Random Signals
Useful Hints and Help with MATLAB
Conclusions
End of Chapter Exercises
Linear Systems
Introduction
Definition of a Linear System
Superposition
Linear System Exercise 1: Zero State Response
Zero Input ! Zero Output
Linear System Exercise 2: Operating in a linear region
Non-Linear Components
Linear System Exercise 3: Mixer
A System is defined by its Response Function
Linear Time-Invariant (LTI) Systems
Bounded Input, Bounded Output
System Behavior as a Black Box
Linear System Response Function h(t)
Convolution
The Convolution Integral
Convolution is Commutative
Convolution is Associative
Convolution is Distributive over Addition
Evaluation of the Convolution Integral
Convolution Properties
A Pulse Input Signal
Convolution with MATLAB
Determining h(t) in an Unknown System
The Unit Impulse _(t) Test Signal
Convolution and Signal Decomposition
An Ideal Distortionless System
Causality
Causality and Zero Input Response
Combined Systems
} Convolution and Random Numbers
Useful Hints and Help with MATLAB
Chapter Summary
Conclusions
End of Chapter Exercises
The Fourier Series
Introduction
Expressing Signals by Components
Approximating a Signal s(t) by Another: The Signal Inner Product
Estimating One Signal by Another
Part One - Orthogonal Signals
Orthogonality
An Orthogonal Signal Space
The Signal Inner Product Formulation
Complete Set of Orthogonal Signals
What if a Complete Set is not Present?
An Orthogonal Set of Signals
Orthogonal Signals and Linearly Independent Equations
Part Two - The Fourier Series
A Special set of Orthogonal Functions
The Fourier Series - An Orthogonal Set?
Computing Fourier Series Components
Fourier Series Approximation to an Odd Square Wave
Zero-Frequency (DC) Component
Fundamental Frequency Component
Higher Order Components
Frequency Spectrum of the Square Wave s(t)
Practical Harmonics
The 60 Hz Power Line
Audio Amplifier Specs - Total Harmonic Distortion
The CB Radio Booster
Odd and Even Square Waves
The Fourier Series Components of an Even Square Wave
Gibb's Phenomenon
Setting-Up the Fourier Series Calculation
Appearance of Pulse Train Frequency Components
Some Common Fourier Series
Part Three: The Complex Fourier Series
Not all Signals are Even or Odd
The Complex Fourier Series
Complex Fourier Series - The Frequency Domain
Comparing the Real and Complex Fourier Series
Magnitude and Phase
Complex Fourier Series Components
Real Signals and the Complex Fourier Series
Stretching and Squeezing: Time vs Frequency
Shift in Time
Change in Amplitude
Power in Periodic Signals
Parseval's Theorem for Periodic Signals
Properties of the Complex Fourier Series
Analysis of a DC Power Supply
The DC Component
An AC-DC Converter
Vrms is always greater than or equal to Vdc
Fourier Series: The Full-wave Rectifier
Complex Fourier series components Cn
The Fourier Series with MATLAB
Essential features of the fft() in MATLAB
Full-wave Rectified Cosine (60 Hz)
Useful Hints and Help with MATLAB
Conclusions
End of Chapter Exercises
Orthogonal Signals
The Fourier Series
The Fourier Transform
Introduction
A Fresh Look at the Fourier Series
Approximating a Non-Periodic Signal Over All Time
Definition of the Fourier Transform
Existence of the Fourier Transform
The Inverse Fourier Transform
Properties of the Fourier Transform
Linearity of the Fourier Transform
Value of the Fourier transform at the Origin
Odd and Even Functions and the Fourier Transform
The Rectangle Signal
The Sinc Function
Expressing a Function in Terms of sinc(t)
The Fourier Transform of a General Rectangle
Magnitude of the Fourier Transform
Signal Manipulations: Time and Frequency
Amplitude Variations
Stretch and Squeeze: The Sinc Function
The Scaling Theorem
Testing the Limits
A Shift in Time
The Shifting Theorem
The Fourier Transform of a Shifted Rectangle
Impulse Series - The Line Spectrum
Shifted Impulse _(f f0)
Fourier Transform of a Periodic Signal
Fourier Transform Pairs
The Illustrated Fourier Transform
Rapid Changes vs High Frequencies
Derivative Theorem
Integration Theorem
Conclusions
End of Chapter Exercises
Practical Fourier Transforms
Introduction
Convolution: Time and Frequency
Simplifying the Convolution Integral
Transfer Function of a Linear System
Impulse Response: The Frequency Domain
Frequency Response Curve
Energy in Signals: Parseval's Theorem for the Fourier Transform
Energy Spectral Density
Data Smoothing and the Frequency Domain
Ideal Filters
The Ideal Lowpass Filter is not Causal
A Real Lowpass Filter
The Modulation Theorem
A Voice Privacy System
Periodic Signals and the Fourier Transform
The Impulse Train
General Appearance of Periodic Signals
The Fourier Transform of a Square wave
Other Periodic Waveforms
The Analog Spectrum Analyzer
Conclusions
End of Chapter Exercises
The Laplace Transform
Introduction
The Laplace Transform
The Frequency Term ej!t
The Exponential Term e_t
The s-domain
Exploring the s-domain
A Pole at the origin
Graphing the function H(s) = 1=s
Decaying Exponential
A Sinusoid
The Generalized Cosine: A = cos(!t + _)
A Decaying Sinusoid
An Unstable System
Visualizing the Laplace Transform
First Order Lowpass Filter
Pole Position Determines Frequency Response
Second Order Lowpass Filter
Resonance Frequency
Multiple Poles and Zeros
Two-Sided Laplace Transform
The Bode Plot
Bode Plot - Multiple Poles and Zeros
System Analysis in MATLAB
Properties of the Laplace Transform
Differential Equations
Solving a Differential Equation
Compound Interest
Transfer Function as Differential Equations
Laplace Transform Pairs
The Illustrated Laplace Transform
Circuit Analysis with the Laplace Transform
Voltage Divider
A First-Order Lowpass Filter
A First-Order Highpass Filter
A Second Order Filter
Lowpass Filter
Bandpass Filter
Highpass Filter
Analysis of a Second Order System
Series RLC Circuit Analysis
State Variable Analysis
State Variable Analysis - First Order System
First Order State Space Analysis with MATLAB
State Variable Analysis - Second Order System
Matrix Form of the State Space Equations
Second Order State Space Analysis with MATLAB
Differential Equation
State Space and Transfer Functions with MATLAB
Conclusions
End of Chapter Exercises
Discrete Signals
Introduction
Discrete Time vs Continuous Time Signals
1 Digital Signal Processing
A Discrete Time Signal
1 A Periodic Discrete Time Signal
Data Collection and Sampling Rate
The Selection of a Sampling Rate
Bandlimited Signal
Theory of Sampling
The Sampling Function
Recovering a Waveform from Samples
A Practical Sampling Signal
Minimum Sampling Rate
Nyquist Sampling Rate
The Nyquist Sampling Rate is a Theoretical Minimum
Sampling Rate and Alias Frequency
Practical Aliasing
Analysis of Aliasing
Anti-Alias Filter
Introduction to Digital Filtering
Impulse Response Function
A Simple Discrete Response Function
Delay Blocks are a Natural Consequence of Sampling
General Digital Filtering
The Fourier Transform of Sampled Signals
The Discrete Fourier Transform (DFT)
A Discrete Fourier Series
Computing the Discrete Fourier Transform (DFT)
The Fast Fourier Transform (FFT)
Illustrative Examples
FFT and Sample Rate
Practical DFT Issues
Constructing the Ideal Discrete Signal
A Typical Discrete Signal
A DFT Window
Discrete Time Filtering with MATLAB
A Discrete Rectangle
A Cosine Test Signal
Check Calculation
Conclusions
End of Chapter Exercises
The z-Transform
Introduction
The z-Transform
Fourier Transform, Laplace Transform, z-transform
Definition of the z-Transform
The z-Plane and the Fourier Transform
Calculating the z-Transform
Unit Step u[n]
Exponential an u[n]
Sinusoid cos(n!0) u[n] and sin(n!0) u[n]
Differentiation
The effect of Sampling Rate
A Discrete Time Laplace Transform
Properties of the z-Transform
z-Transform Pairs
Transfer Function of a Discrete Linear System
MATLAB Analysis with the z-transform
First Order Lowpass Filter
Pole-Zero Diagram
Bode Plot
Impulse Response
Calculating Frequency Response
Pole Position Determines Frequency Response
Digital Filtering - FIR Filter
A One Pole FIR Filter
A Two Pole FIR Filter
Higher Order FIR Filters
Frequency Response
Pole Zero Diagram
Phase Response
Step Response
Digital Filtering - IIR Filter
A One Pole IIR Filter
IIR vs FIR
Higher Order IIR Filters
Combining FIR and IIR Filters
Conclusions
End of Chapter Exercises
Introduction to Communications
Introduction
A Baseband Signal m(t)
The need for a Carrier Signal
A Carrier Signal c(t)
Modulation Techniques
The Radio Spectrum
Amplitude Modulation
Transmitted Carrier Double Sideband - (AM-TCDSB)
Demodulation of AM Signals
Graphical Analysis
AM Demodulation - Diode Detector
Examples of Diode Detection
Suppressed Carrier Transmission
Demodulation of Single Sideband Signals
Percent Modulation and Overmodulation
Superheterodyne Receiver
An Experiment with Intermediate Frequency
When Receivers become Transmitters
Image Frequency
Beat Frequency Oscillator
Digital Communications
Modulation Methods
Morse Code
On O_ Keying (OOK)
Bandwidth Considerations
Phase Shift Keying
Differential Coding
Higher-Order Modulation Schemes
Conclusions
End of Chapter Exercises
The Illustrated Fourier Transform
The Illustrated Laplace Transform
The Illustrated z-Transform
MATLAB Reference Guide
Defining Signals
MATLAB Variables
The Time Axis
Common Signals
Non-Periodic
Periodic
Complex Numbers
Plot Commands
Signal Operations
Defining Systems
System Definition
Transfer Function
Zeros and Poles and Gain
State Space Model
Discrete Time Systems
System Analysis
Example System Definition and Test
Reference Tables
Fourier Transform
Fourier Transform Theorems
Laplace Transform
Laplace Transform Theorems
z-Transform
z-Transform Theorems

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