2.8.kishore.ps

是multiuser detection 这本书的习题解答, 很有用的书.

121EEA3FC0EA38E01370A2EA7071A31372EAE032EA601C121D7E9C16>107
D<EA1F801203A2EA0700A4120EA45AA45AA45AA412E2A312E412641238091D7F9C0C>I<
EA3C1F384E6180384681C0EA4701128F128E120EA2381C0380A3EB070000381310A2130E
1420387006403830038014127E9119>110 D<380787803809C8603808D03013E0EA11C0
14381201A238038070A31460380700E014C0EB0180EB8300EA0E86137890C7FCA25AA412
3CB4FC151A819115>112 D<EA01F0EA060CEA0C04130EEA180CEA1C00121FEA0FE013F0
EA03F8EA0038EA201CEA701812F01310EA8030EA6060EA1F800F127E9113>115
D<13C01201A3EA0380A4EAFFF0EA0700A3120EA45AA4EA3820A21340A2EA1880EA0F000C
1A80990F>I<EA0381EA07C1EA0FF6EA081CEA1008EA0010132013401380EA010012025A
EA08041210EA3C18EA67F8EA43F0EA81E010127E9113>122 D E
%EndDVIPSBitmapFont
%DVIPSBitmapFont: Fi cmr10 10 52
/Fi 52 122 df<137E3801C180EA0301380703C0120EEB018090C7FCA5B512C0EA0E01B0
387F87F8151D809C17>12 D<1380EA0100120212065AA25AA25AA35AA412E0AC1260A47E
A37EA27EA27E12027EEA0080092A7C9E10>40 D<7E12407E12307EA27EA27EA37EA41380
AC1300A41206A35AA25AA25A12205A5A092A7E9E10>I<126012F0A212701210A41220A2
12401280040C7C830C>44 D<EAFFE0A20B0280890E>I<126012F0A2126004047C830C>I<
EA03C0EA0C30EA1818EA300CA2EA700EEA6006A2EAE007ADEA6006A2EA700EEA300CA2EA
1818EA0C30EA07E0101D7E9B15>48 D<5A1207123F12C71207B3A5EAFFF80D1C7C9B15>
I<EA07C0EA1830EA201CEA400C130EEAF00F12F81307A21270EA000F130EA2131CA21338
1370136013C0EA0180EA0300EA0601120C1218EA1002EA3FFE127F12FF101C7E9B15>I<
EA07E0EA1830EA201CA2EA781E130E131E1238EA001CA2131813301360EA07C0EA003013
1CA2130E130FA2127012F8A3EAF00EEA401C1220EA1830EA07C0101D7E9B15>I<130CA2
131C133CA2135C13DC139CEA011C120312021204120C1208121012301220124012C0B512
C038001C00A73801FFC0121C7F9B15>I<EA300CEA3FF813F013C0EA2000A6EA23E0EA2C
30EA3018131CEA200E1200130FA3126012F0A3EA800EEA401E131CEA2038EA1870EA07C0
101D7E9B15>I<13F0EA030CEA0404EA0C0EEA181E1230130CEA7000A21260EAE3E0EAE4
30EAE818EAF00C130EEAE0061307A51260A2EA7006EA300E130CEA1818EA0C30EA03E010
1D7E9B15>I<1240387FFF801400A2EA4002485AA25B485AA25B1360134013C0A212015B
A21203A41207A66CC7FC111D7E9B15>I<EA03E0EA0C30EA1008EA200C13061260A21270
A2EA7C0CEA3E18EA3FB0EA1FE0EA07F013F8EA18FCEA307EEA601E130FEAC0071303A4EA
60021304EA300CEA1C10EA07E0101D7E9B15>I<EA03C0EA0C30EA1818EA300C1270EA60
0EEAE006A21307A51260EA700F1230EA1817EA0C27EA07C7EA0006A2130EEA300C127813
181270EA2030EA10C0EA0F80101D7E9B15>I<126012F0A212601200AA126012F0A21260
04127C910C>I<126012F0A212601200AA126012F0A212701210A41220A212401280041A
7C910C>I<B612E0A2C9FCA8B612E0A21B0C7E8F20>61 D<B512FC380F003C140C1404A2
14061402A213011400A35B13FF13037FA3140113001402A31406A2140C143CB512FC181C
7E9B1C>69 D<EAFFF0EA0F00B3A8EAFFF00C1C7F9B0F>73 D<EAFFF8EA0F8090C7FCB014
08A31418A2141014301470EB01F0B5FC151C7E9B1A>76 D<B4EB1FF0390F8003809038C0
0100120BEA09E0EA08F0A21378133C133E131E130F14811307EB03C1EB01E114F1130014
79147D143D141FA2808080121CB46C7E1C1C7F9B1F>78 D<B5FC380F01E0EB007880141C
141EA4141C143C5CEB01E001FFC7FCEB01E0EB0070147880A61510A2141CA239FFF00E20
C7EA03C01C1D7E9B1F>82 D<3807E080EA1C19EA30051303EA600112E01300A36C13007E
127CEA7FC0EA3FF8EA1FFEEA07FFC61380130FEB07C0130313011280A300C01380A238E0
0300EAD002EACC0CEA83F8121E7E9C17>I<007FB512C038700F010060130000401440A2
00C014201280A300001400B1497E3803FFFC1B1C7F9B1E>I<3AFFE1FFC0FF3A1F003E00
3C001E013C13186C6D1310A32607801F1320A33A03C0278040A33A01E043C080A33A00F0
81E100A39038F900F3017913F2A2017E137E013E137CA2013C133C011C1338A201181318
01081310281D7F9B2B>87 D<12FEA212C0B3B312FEA207297C9E0C>91
D<12FEA21206B3B312FEA20729809E0C>93 D<EA1FC0EA3070EA78387F12301200A2EA01
FCEA0F1C12381270126000E01340A3EA603C38304E80381F870012127E9115>97
D<12FC121CAA137CEA1D87381E0180381C00C014E014601470A6146014E014C0381E0180
38190700EA10FC141D7F9C17>I<EA03F8EA0C0CEA181E1230EA700CEA600012E0A61260
EA70021230EA1804EA0C18EA03E00F127F9112>I<EB1F801303AAEA03F3EA0E0BEA1807
EA30031270126012E0A6126012701230EA1807EA0E1B3803E3F0141D7F9C17>I<EA07E0
EA0C30EA1818EA300CEA700EEA600612E0EAFFFEEAE000A41260EA70021230EA1804EA0C
18EA03E00F127F9112>I<13F8EA018CEA071E1206EA0E0C1300A6EAFFE0EA0E00B0EA7F
E00F1D809C0D>I<EB03803807C4C0EA1C783838388038301800EA701CA4EA3018EA3838
6C5AEA27C00020C7FCA21230EA3FF86CB4FC1480EA2003386001C0EAC000A33860018038
300300EA1C0EEA07F8121C7F9215>I<12FC121CAA137C1387EA1D03001E1380121CAD38
FF9FF0141D7F9C17>I<1218123CA21218C7FCA712FC121CB0EAFF80091D7F9C0C>I<12FC
121CB3A9EAFF80091D7F9C0C>108 D<39FC7E07E0391C838838391D019018001EEBE01C
001C13C0AD3AFF8FF8FF8021127F9124>I<EAFC7CEA1C87EA1D03001E1380121CAD38FF
9FF014127F9117>I<EA03F0EA0E1CEA1806487E00701380EA600100E013C0A600601380
EA700300301300EA1806EA0E1CEA03F012127F9115>I<EAFC7CEA1D87381E0180001C13
C0EB00E0A21470A614E0A2EB01C0001E1380381D0700EA1CFC90C7FCA7B47E141A7F9117
>I<3803E080EA0E19EA1805EA3807EA7003A212E0A61270A2EA38071218EA0E1BEA03E3
EA0003A7EB1FF0141A7F9116>I<EAFCE0EA1D38EA1E78A2EA1C301300ACEAFFC00D127F
9110>I<EA1F90EA2070EA4030EAC010A212E0EAF800EA7F80EA3FE0EA0FF0EA00F8EA80
38131812C0A2EAE010EAD060EA8FC00D127F9110>I<1204A4120CA2121C123CEAFFE0EA
1C00A91310A5120CEA0E20EA03C00C1A7F9910>I<38FC1F80EA1C03AD1307120CEA0E1B
3803E3F014127F9117>I<38FF07E0383C0380381C0100A2EA0E02A2EA0F06EA0704A2EA
0388A213C8EA01D0A2EA00E0A3134013127F9116>I<39FF3FC7E0393C0703C0001CEB01
801500130B000E1382A21311000713C4A213203803A0E8A2EBC06800011370A2EB803000
0013201B127F911E>I<38FF0FE0381E0700EA1C06EA0E046C5AEA039013B0EA01E01200
7F12011338EA021C1204EA0C0E487E003C138038FE1FF014127F9116>I<38FF07E0383C
0380381C0100A2EA0E02A2EA0F06EA0704A2EA0388A213C8EA01D0A2EA00E0A31340A25B
A212F000F1C7FC12F312661238131A7F9116>I E
%EndDVIPSBitmapFont
%DVIPSBitmapFont: Fj cmbx10 10 20
/Fj 20 122 df<127812FCA4127806067D850D>46 D<EA07F8EA1FFE38383F8038780FC0
EAFC0714E01303A21278EA000714C0A2EB0F80EB1F00131E13385B5B38018060EA030012
06000813E0381FFFC05A5AB5FCA2131B7E9A18>50 D<EA03F8EA0FFE381E0F80EA3807EB
03C01278127C127E387F8380383FC70013FE6C5A6C7E6C7E001D138038387FC038781FE0
EA700FEAF0031301A3007813C0EB0380EA3E07381FFE00EA03F8131B7E9A18>56
D<39FFFC07FFA2390FC000E04A5A4A5A0206C7FC5C14385C5CEBC1C013C3EBC7E0EBCFF0
13FBEBF1F8EBE0FC497E147E806E7E81140F6E7E816E7E3AFFFC1FFF80A2211C7E9B25>
75 D<B512F814FE390FC03F80140FEC07C015E0A515C0A2EC0F80EC3F00EBFFFC01C0C7
FCABEAFFFCA21B1C7E9B21>80 D<3807F820381FFEE0EA3C07EA7801EA700012F01460A2
6C130012FEEAFFE0EA7FFE6C7E1480000F13C06C13E0EA007FEB03F01301130012C0A214
E07E38F001C0EAFC0338EFFF00EA83FC141C7D9B1B>83 D<EA0FF8EA1C1E383E0F801307
14C0121C1200137FEA07E7EA1F07123C127C12F8A3EA780B383E13F8EA0FE115127F9117
>97 D<B4FCA2121FA9EB3F80EBE1E0EB8070EB0078143CA2143EA6143CA21478EB807038
1EC1E0381C3F00171D7F9C1B>I<EA03FCEA0F07381C0380383C01C0127814E012F8A2B5
FC00F8C7FCA3127814607E6C13C0380F03803801FC0013127F9116>101
D<B4FCA2121FA9EB0FC0EB31E0EB40F0EB80F8A21300AB38FFE7FFA2181D7F9C1B>104
D<121E123FA4121EC7FCA6127FA2121FAEEAFFC0A20A1E7F9D0E>I<B4FCA2121FB3A7EA
FFE0A20B1D7F9C0E>108 D<39FF0FC07E903831E18F3A1F40F20780D980FC13C0A2EB00
F8AB3AFFE7FF3FF8A225127F9128>I<38FF0FC0EB31E0381F40F0EB80F8A21300AB38FF
E7FFA218127F911B>I<EA01FC380F0780381C01C0003C13E0387800F0A200F813F8A600
7813F0A2383C01E0381E03C0380F07803801FC0015127F9118>I<EAFE3E1347381E8F80
A3381F070090C7FCAAEAFFE0A211127F9114>114 D<EA1FD8EA3078EA601812E0A2EAF0
00EAFF80EA7FE013F0EA1FF8EA07FCEA007CEAC01CA212E01318EAF830EACFC00E127E91
13>I<1203A45AA25AA2EA3FFC12FFEA1F00A9130CA4EA0F08EA0798EA03F00E1A7F9913>
I<38FF07F8A2EA1F00AC1301120F380786FFEA01F818127F911B>I<38FFC1FCA2381F00
601380000F13C0A23807C180A23803E300A213F7EA01F613FE6C5AA21378A21330A25B12
70EAF8E05BEAF9800073C7FC123E161A7F9119>121 D E
%EndDVIPSBitmapFont
end
%%EndProlog
%%BeginSetup
%%Feature: *Resolution 300dpi
TeXDict begin
%%PaperSize: Letter

%%EndSetup
%%Page: 1 1
1 0 bop 257 262 a Fj(Problem)14 b(2.8)i(Solution)d(b)o(y)i(Shalinee)e
(Kishore)40 b Fi(T)m(o)14 b(compute)f(the)i(p)q(o)o(w)o(er)f(sp)q(ec-)
257 311 y(tral)g(densit)o(y)g(of)f Fh(z)r Fi(\()p Fh(t)p
Fi(\),)h(w)o(e)g(b)q(egin)g(b)o(y)g(\014rst)g(computing)f(the)h(auto)q
(correlation)g(function)321 392 y Fh(R)353 398 y Fg(Z)379
392 y Fi(\()p Fh(t)410 398 y Ff(1)438 392 y Fe(\000)c
Fh(t)495 398 y Ff(2)513 392 y Fi(\))42 b(=)g(E[)p Fh(z)r
Fi(\()p Fh(t)737 398 y Ff(1)755 392 y Fi(\))p Fh(z)r
Fi(\()p Fh(t)823 398 y Ff(2)842 392 y Fi(\)])766 b(\(1\))571
491 y(=)42 b(E)680 420 y Fd(")740 439 y Fc(1)727 452
y Fd(X)704 539 y Fg(n)p Ff(=)p Fc(\0001)816 491 y Fh(b)p
Fi([)p Fh(n)p Fi(])p Fh(s)p Fi(\()p Fh(t)933 497 y Ff(1)960
491 y Fe(\000)10 b Fh(nT)15 b Fe(\000)10 b Fh(\034)5
b Fi(\))1188 439 y Fc(1)1175 452 y Fd(X)1154 541 y Fg(k)q
Ff(=)p Fc(\0001)1263 491 y Fh(b)p Fi([)p Fh(k)q Fi(])p
Fh(s)p Fi(\()p Fh(t)1378 497 y Ff(1)1405 491 y Fe(\000)10
b Fh(k)q(T)15 b Fe(\000)10 b Fh(\034)5 b Fi(\))1590 420
y Fd(#)1636 491 y Fi(\(2\))571 634 y(=)681 582 y Fc(1)667
595 y Fd(X)645 682 y Fg(n)p Ff(=)p Fc(\0001)792 582 y(1)778
595 y Fd(X)757 684 y Fg(k)q Ff(=)p Fc(\0001)866 634 y
Fi(E)j([)o Fh(b)p Fi([)p Fh(n)p Fi(])p Fh(b)p Fi([)p
Fh(k)q Fi(])p Fh(s)p Fi(\()p Fh(t)1095 640 y Ff(1)1121
634 y Fe(\000)i Fh(nT)15 b Fe(\000)9 b Fh(\034)c Fi(\))p
Fh(s)p Fi(\()p Fh(t)1357 640 y Ff(2)1386 634 y Fe(\000)k
Fh(k)q(T)16 b Fe(\000)9 b Fh(\034)c Fi(\)])54 b(\(3\))571
777 y(=)681 725 y Fc(1)667 737 y Fd(X)645 824 y Fg(n)p
Ff(=)p Fc(\0001)792 725 y(1)778 737 y Fd(X)757 827 y
Fg(k)q Ff(=)p Fc(\0001)866 777 y Fi(E)q([)p Fh(b)p Fi([)p
Fh(n)p Fi(])p Fh(b)p Fi([)p Fh(k)q Fi(]])o(E)n([)p Fh(s)p
Fi(\()p Fh(t)1138 783 y Ff(1)1166 777 y Fe(\000)9 b Fh(nT)15
b Fe(\000)10 b Fh(\034)5 b Fi(\))p Fh(s)p Fi(\()p Fh(t)1402
783 y Ff(2)1430 777 y Fe(\000)10 b Fh(k)q(T)15 b Fe(\000)9
b Fh(\034)c Fi(\)])10 b(\(4\))257 900 y(Since)j(the)f(random)e(v)n
(ariables)h Fh(b)p Fi([)p Fh(i)p Fi(])g(and)g Fh(\034)17
b Fi(are)12 b(indep)q(enden)o(t.)18 b(This)12 b(can)g(then)g(b)q(e)h
(further)257 950 y(reduced)j(to:)495 1053 y Fh(R)527
1059 y Fg(Z)554 1053 y Fi(\()p Fh(t)585 1059 y Ff(1)612
1053 y Fe(\000)10 b Fh(t)669 1059 y Ff(2)688 1053 y Fi(\))h(=)795
1001 y Fc(1)782 1014 y Fd(X)759 1101 y Fg(n)p Ff(=)p
Fc(\0001)871 1053 y Fi(E[)p Fh(s)p Fi(\()p Fh(t)961 1059
y Ff(1)989 1053 y Fe(\000)f Fh(nT)15 b Fe(\000)9 b Fh(\034)c
Fi(\))p Fh(s)p Fi(\()p Fh(t)1225 1059 y Ff(2)1254 1053
y Fe(\000)k Fh(nT)16 b Fe(\000)9 b Fh(\034)c Fi(\)])184
b(\(5\))257 1174 y(This)14 b(results)i(b)q(ecause)g(for)d
Fh(k)g Fe(6)p Fi(=)g Fh(n)p Fi(,)g(E)q([)p Fh(b)p Fi([)p
Fh(n)p Fi(])p Fh(b)p Fi([)p Fh(k)q Fi(]])8 b(=)13 b(0.)18
b(Next,)d(w)o(e)f(note)h(that)f(since)h Fh(s)p Fi(\()p
Fh(t)p Fi(\))g(is)257 1224 y(a)g(direct-sequence)i(spread-sp)q(ectrum)f
(signal,)d(E[)p Fh(s)p Fi(\()p Fh(t)1117 1230 y Ff(1)1146
1224 y Fe(\000)d Fh(nT)15 b Fe(\000)10 b Fh(\034)5 b
Fi(\))p Fh(s)p Fi(\()p Fh(t)1383 1230 y Ff(2)1412 1224
y Fe(\000)10 b Fh(nT)16 b Fe(\000)10 b Fh(\034)5 b Fi(\)])12
b(=)h(0)257 1274 y(if)g Fh(t)310 1280 y Ff(1)338 1274
y Fe(\000)d Fh(t)395 1280 y Ff(2)425 1274 y Fh(>)i(T)6
b Fi(.)18 b(The)c(p)q(o)o(w)o(er)g(sp)q(ectral)h(densit)o(y)f(of)g