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MATLAB is t he software package used throughout t his book. MATLAB is a
powerful package developed t o perform m atrix m anipulations for system designers.
MATLAB is easily expandable a nd uses i ts own high level language. These factors
make developing sophisticated systems easier. I n a ddition, MATLAB h as b een
carefully w ritten t o yield numerically stable results t o p roduce reliable simulations.
All t he c omputer examples in this book are verified t o b e c ompatible with t he
s tudent e dition of t he MATLAB when used according t o t he i nstructions given in
its manual. T he r eader should make sure t hat \ MATLAB\BIN is added in t he DOS
search p ath. MATLAB c an b e invoked by executing t he c ommand MATLAB. T he
MATLAB banner will a ppear a fter a moment w ith t he p rompt ' »'. MATLAB has
a useful online help. To get help on a specific command, t ype H ELP C OMMAND
NAME a nd t hen p ress t he E NTER key. DIARY F ILE is a command t o record all
t he i mportant k eyboard inputs t o a file a nd t he r esulting o utput o f your MATLAB
session t o b e w ritten o n t he n amed file. MATLAB can b e used interactively, or
by writing functions (subroutines) often called M files because o f t he .M extension
used for these files. Once familiar with t he basics of MATLAB, t he r eader can easily
learn how t o w rite functions a nd t o use MATLAB's existing functions.
T he MATLAB Mfiles have been created t o s upplement t his t ext. T his includes
all t he examples solved by MATLAB in t he t ext. These Mfiles may b e retrieved
from t he Mathworks anonymous F TP s ite a t
f tp:/ / f tp.mathworks.com/pub/books/lathi/. O. P. Mandhana •
C ontents
B
B.1
B.2
B .3
B .4
B .5
B .6
B .7 C ontents 1 Background
Complex Numbers
Sinusoids
Sketching Signals
C ramer's Rule
Partial fraction expansion
V ectors and Matrices
Miscellaneous 1
14
19
22
24
34
46 1 Introduction t o Signals and Systems 51 1.1
1.2
1.3
1.4
1.5
1.6
1.7
1.8
1.9 Size o f a Signal
Classification o f Signals
Some Useful Signal O perations
Some Useful Signal models
Even a nd Odd Functions
S ystems
Classification of Systems
System Model: I nputoutput Description
Summary 52
57
61
64
75
77
79
88
94 2 T imeDomain Analysis o f ContinuousTime Systems
2.1
2.2
2.3
2.4
2.5
2.6
2.7
2.8
2.9 Introd uction
System Response t o Internal Conditions: ZeroInput response
T he U nit Impulse response h (t)
S ystem Response t o External Input: ZeroState Response
Classical Solution of Differential equations
System Stability
Intuitive Insights into System Behavior
Appendix 2.1: Determining T he Impulse Response
Summary 104
104
106
115
118
139
147
153
161
163 3 Signal Representation By Fourier Series 171 3.1
3.2
3.3
3.4
3.5
3.6
3.7
3.8
3.9 171
177
183
189
206
216
219
222
224 4 S ignals and Vectors
Signal Comparison: Correlation
Signal Representation by Orthogonal Signal S et
Trigon ometric Fourier Series
Exponential Fourier Series
Numerical Computation o f D n
LTIC S ystem response t o Periodic Inputs
Appendix
S ummar...
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This note was uploaded on 04/14/2013 for the course ENG 350 taught by Professor Bayliss during the Spring '13 term at Northwestern.
 Spring '13
 Bayliss
 Signal Processing, The Land

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