STUDENT SOLUTIONS MANUAL United States Edition FOR Digital and Analog www.elsolucionario.org Communication Systems 8th Edition, United States Edition Leon W Couch, II 2013 Pearson Education, Inc One Lake Street Upper Saddle River, NJ 07458 www.elsolucionario.org PREFACE and ACKNOWLEDGEMENTS This Student Solutions Manual for Digital and Analog Communication Systems, 8th Edition (United States) contains complete solutions for the homework problems in the 8th Edition that are marked with a i If the problem is designed for a MATLAB computer solution (as denoted by a computer symbol), then a MATHCAD printed solution is shown in this solutions manual (MATHCAD solutions are shown since they clearly display the algorithms used and the output takes up less space.) MATLAB m files for these problems can be downloaded from the internet websites maintained by the author located at http://lcouch.us or http://www.couch.ece.ufl.edu In the textbook, a computer symbol is used to indicate that MATLAB solutions are provided for that material, although those homework problems marked with a computer symbol but not including a i are available only to the instructor from Pearson/Prentice Hall This website is located at http://www.pearsonhighered.com/educator/catalog/index.page This solutions manual was prepared by Leon W Couch, II, with the help and valuable suggestions of many undergraduate and graduate electrical engineering students at the University of Florida Their assistance is greatly appreciated Several graduate students worked out solutions or contributed problems with solutions; they are: Samel Celebi Brady E Gaughan Charles S Prewitt Lawrence K Thompson Yeong-Cheng Wang Ching-Jang Wu Thanks also to Ronald F Smith who wrote the original code for many of the MATLAB M files The author values your comments and suggestions Also, for future editions, new problems and problems with computer solutions are welcomed Please send them to: Leon W Couch, II, Professor Emeritus Electrical and Computer Engineering Department 4057 N.W 37 Terrace University of Florida Gainesville, FL 32606 Phone: 352-376-0108 E-mail: couch@ufl.edu October 12, 2011 CONTENTS Student Solutions for : Chapter INTRODUCTION Chapter SIGNALS and SPECTRA Chapter BASEBAND PULSE and DIGITAL SIGNALING 31 Chapter BANDPASS SIGNALING PRINCIPLES and CIRCUITS 50 Chapter AM, FM, and DIGITAL MODULATION SYSTEMS 64 Chapter RANDOM PROCESSES and SPECTRAL ANALYSIS 97 www.elsolucionario.org Chapter PERFORMANCE of COMMUNICATION SYSTEMS CORRUPTED by NOISE 117 Chapter WIRE AND WIRELESS COMMUNICATION SYSTEMS 134 APPENDIX B PROBABILITY and RANDOM VARIABLES 144 STUDENT SOLUTIONS MANUALwww.elsolucionario.org Digital & Analog Comm Systems (United States Edition) 8th Edition, L W Couch, II Chapter {h+rt)1.::: J1 +te" :} h1 ,lhte = d'- StJ'~rt ~« re tl)d':::; IAre alia re.=t(a%OM;Ie;): S"'28oMlkr J I~ ;,/t,j .v J~ (Ifli Jes)": l.~ ci;.4:-~~ fnBl> lfIi fer) L~t J : a~de,tta Atf;JJ I~ feci) 4ttd ~d"':1.~ bt' ILet.t>,~~, 1 of ,d=g: ~~J.;', ~bi,,~.t ta.l '"c tnt,", ~ ~t.rI~ L,''l'''l I.f': 1\l.4, If fl' ~) ~-fl) l\1b t\ 11 ;: t,!,J C:-1t111\~I) -{l-';I)I~ (bl B:- 3200 HZ SNRdB := 20 dB b G; bits Cbannelbtrdwidth igna1 to noise rat.io SHRdB 10 SD :- 10 C:- B· e~i~;2:m)] > c- 2.131· 10 c C t- - C , :'.044 10 Channel capacity (bits/sec) ()uJY ,-eo.d i~~ : 18-46 *e ~(t) :0 WlltJ Cot) vJt t · w-c·O ) I~ f;1~ }»8 -46 t; l.\.oWV'- T = t;~tSf-\s(c T= S\ f-A,ec ", I" s.- T :: lo-,~~e t 0) ~ T:: 4,)' f4,:;ec: 0, ~~.s- t =r.r[(o.1~k)').(o.l(,S"'- o.()'15'f1)tk'l~~.,S.,,)+(o.6kf(o,e U'1') ] 142 STUDENT SOLUTIONS MANUALwww.elsolucionario.org Digital & Analog Comm Systems (United States Edition) 8th Edition, L W Couch, II !fro COltt'J e ~: [(,1$\}; (.o.,) :; 4- [ ,0 l =)S t>A\J L (.0)5) + (.5)~( 235) ] I T G +- • 0'" S'" + 2.CiJ '1] : : r !>EI" -49 ( '!,"S q ~) =O-,G,fLk- ~i =: , 'If )( I () "\ = I',,·0 ~ :,?"Cl'( I'1iI'l'I 20.G, dP W loC) I r : 'R,,~,,~ ~.w~)(tJ(-t):: 1'.d1(f)(~ ) ~ ~~ -:: 32 1\ Mb/~ ~ J) ~~CcI'"'t:::' ~ .1.: t - 3- - 10 311 k~ Ift1 (k.3 for B~~k) tefJittL,QJ 14e pt:t'lltrelJ i~e tf!t- S1"" ~(.}'~)!;~ " e.tJ, ft!flflaf l,f 32~1 'tJ.J8I/ 4f+e." 311 Ot,e le,,,,.Jf'Is ~~ fiJHt pf q/ t/'e y, 'u,i"l rA fc IH ;1,~ ,JIWetttll -:.IJ) ~ )lJ/ lt-D= ID}"I1/} 9:: I.O • 7,J1hll./(J ~ ~~~ l 31) / l3Jl 143 STUDENT SOLUTIONS MANUAL (United States Edition) Digital & Analog Comm Systems 8th Edition, L W Couch, II Appendix B / [ a-1 1P( \') = ~ = - \~ (~ 14 2~ +2'''% 1/\ :: O ~ tf (S):: 5;/-S" ::t- (b,) ~ ~ : (H-4») l~+~"L (~f') J (tltl) ~ ~S")::: iZ ~: (ItCo\ (c+S\(~t4), (l./+~)J (5"+2.)l(Ol-/) 9> f()) P(5+lt~);; p(r;)tf())+[>(g) www.elsolucionario.org vJ\c.,.:~·t.>A- H ~ \ [.1 ) I Sf et/ clu c,j oJ j ::: ~ T t , +5" ~ == / sG =~ S(' I a-4 I P( It \+S) ~ P(l) + (J(s) +P(~) :: i :-1 la-5 1~(4/E):: fU-l·E):: ~(tt\ = :!.!:: _ ~ PLE) />ll:) 144 'I"? - "3> STUDENT SOLUTIONS MANUALwww.elsolucionario.org Digital & Analog Comm Systems (United States Edition) 8th Edition, L W Couch, II 145 STUDENT SOLUTIONS MANUAL (United States Edition) Digital & Analog Comm Systems 8th Edition, L W Couch, II q := P p :- 0.1 \B-17 • :*n p () := n-k k n! 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