Fundamentals of Signals and Systems Using the Web and MATLAB Third Edition Edward W.Kamen Bonnie S. Heck PEARSON •'"-ffili p^anonEiJtHraiHHilni- tl
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Fundamentals of Signals and Systems Using the Web and MATLAB
Third Edition
Edward W.Kamen
Bonnie S. Heck
PEARSON
•'"-ffili
p^anonEiJtHraiHHilni-tl
Contents
CHAPTER 1 Fundamciuaj t onccpts 13
i.i U^Kitmuous-rimc Signals 13 12 Discrete Time Signals 23 13 S>Mcms 33 1.4 Examples of S>-stemv 36 1 .> Basic S>*steFn Properties 43
Probirms 49
CHAPTER 2 Time Uomam VkxJels of SyMcms 54
2.1 Input Output Reprcvcntation iW Diwrctc-Tune S>-uc«tt 2-2 Coovoittliun *>( l>istTLic- Iimc Su "̂^̂ 2.3 DMeicmce h^umitm MINJCIS 2.4 Differential hquaiuHi MiHieb 74 2^ SiWulKMi of Ditfercntial l-qualuHii 79 2-6 C'<*nvolutH>n KtprenenlalHwi of ( ootimacnv-lii'>^ *̂VIVM'
Prohlcms ^
CHAPTER 3 The R>uricr Scries anJ Fourier TranK/orm
3 1 Rcprcacntaliuii ol SifCfiaK tn Ictim (W Frrtitu rM.A 3-2 Itipamametnc Foyiirr Scnc» tU? 3 < ncnitaJ Seric* 114 3J ' ~ \20
Contp M-
C M A P T f c A
Prop<nttr«^nfrh, I , '̂ ^ Ir.insfnrm 132
^' 'Hi .wis
I -^UIK '»mcSignaK | M
n I6S
i < ^
CHAPTER 5
5.1 5.2 5.3 5.4 5.5 > t^
CHAPTER 6
6.1 6.2 6.3 6 4
6 5
6.h
CHAPTER 7
7.1 7.2 7.3 7.4 7.5
foutncr Anah
F-uuricr An ;! Rcspoi! Analysis of Id Saniphnk; J ^^ Ft>uricr Analysis ol \ Application to l,owp;i
MS
2IM 224
niv
t ^ i l U l I i l l C I i l l L '
24^ :5()
rruhlcms :s.s
I he Laplace Transform and the Transfer FunctuMi Rcprcscnlal ion 270
Laplace lransft>rm of a Signal 270 Pro(>erties of the Laplace Transform 276 ( ompulaliim of the Inverse Laplace Transform 2S7 Transform ol the Inpui'Outpul DiflcieniMl rquaiKVi Tr.msform t»f ihc Inpul (Uiiput ( *>nvoluiion Iniegral Dirccl ( onstrucliiMi of the Iiansler FunctitMi 3-1
Prohienis 332
3<>7 314
The r-Translorm and Discrele hme S>Mcms
r-Trans/orm of .1 Diwrcic I imc SiKoal Propcrlicsoflhc • lfan>r..rm ^ Compulauon ol .ho Invert- rU.nsUnm -TraiiNlci I unctmn KcprcwnUluHi S>Mcm An..l>^.* I >'"? 'h*^ " " » * "
I uncii.'ii Kipicwnldii<»n
Prohlcin* ^^
VW
CHAPTER 8 Analysis of Co„,i„u.,u.-r.mo S«,c™
Representation
8.1 Stability and the Impulse KcsjHuvse m
8.2 Rouih-Hurwii/StabiliivTest 3 % 8.3 Analysis of the Step Respi>nse 401 8.4 Response to Sinusoids and Arhilrar\ Inputs 41Q 8.5 Frequency Re Function 425 8.6 Caus.:: Filters 445
PiobLm^ 4W
CHAPTER 9 Application u . oi.u'.H 46"̂
9.1 Introduction to C onlrol 4o7 9.2 Tracking Control 4 "̂ 5 9.3 Root Locus 486 9.4 Application to Control System Design 494
Problems 503
CHAPTER 10 Design of Digital Fillers and Controllers 510
10.1 Discretization 510 10.2 Design of IIR Fillers 517 10.3 Design of IIR Filters Using MATLAB 523 10.4 Design of FIR Filters 530 10.5 Design of Digital Controllers 542
ProWems 551
CHAPTER 11 State Representation 555
11.1 State Model 555 11.2 Construction of Slate Models 558 11.3 Solution of Stale Iiqualions 566 11.4 Discrete-Time Systems 575 11.5 Equivalent Slate Representations >«• 11.6 Discretization of Stale Model >89
Problems 593
Appendix A Brief Review of Complex Variables
Appendix B Brief Review of Matrices 604
Biblio^raph\ 610
Index 611
si>9
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