3.17.rickard.ps

是multiuser detection 这本书的习题解答, 很有用的书.

90397FE003FEB590380FFF80033F13E04B13F09238FE1FF89139E1F83FFC0003D9E3E013
FEC6ECC07FECE78014EF150014EE02FEEB3FFC5CEE1FF8EE0FF04A90C7FCA55CB3AAB612
FCA52F367CB537>114 D<143EA6147EA414FEA21301A313031307A2130F131F133F13FF
5A000F90B6FCB8FCA426003FFEC8FCB3A9EE07C0AB011FEC0F8080A26DEC1F0015806DEB
C03E6DEBF0FC6DEBFFF86D6C5B021F5B020313802A4D7ECB34>116
D<D93FF8913801FFC0B50207B5FCA50003ED001FC61607B3AE5FA35FA2017F5D173B177B
6D6C14F3DC01E313F06D6CD907C3EBFFC0903A0FFFC03F836D90B51203010114FE6D6C13
F8020701E091C7FC42377BB54B>I E /Fi 16 117 df<121EEA7F8012FF13C0A213E0A3
127FEA1E601200A413E013C0A312011380120313005A1206120E5A5A5A12600B1D78891B
>44 D<143014F013011303131F13FFB5FC13E713071200B3B3B0497E497E007FB6FCA320
4278C131>49 D<49B4FC010F13E0013F13FC9038FE01FE3A01F0007F80D803C0EB3FC048
C7EA1FE0120EED0FF0EA0FE0486C14F8A215077F5BA26C48130FEA03C0C813F0A3ED1FE0
A2ED3FC01680ED7F0015FE4A5AEC03F0EC1FC0D90FFFC7FC15F090380001FCEC007FED3F
80ED1FC0ED0FE016F0ED07F816FC150316FEA2150116FFA3121EEA7F80487EA416FE4913
03A2007EC713FC00701407003015F80038140F6C15F06CEC1FE06C6CEB3FC0D803E0EB7F
803A01FE01FE0039007FFFF8010F13E0010190C7FC28447CC131>51
D<14FF010713E0011F13F890387F80FC9038FC007E48487F4848EB1F804848EB0FC0000F
EC07E0485AED03F0485A16F8007F140190C713FCA25AA216FE1500A516FFA46C5CA36C7E
5D121F7F000F5C6C6C1306150E6C6C5B6C6C5BD8007C5B90383F01E090390FFF80FE9038
01FE0090C8FC150116FCA4ED03F8A216F0D80F801307486C14E0486C130F16C0ED1F80A2
49EB3F0049137E001EC75A001C495A000F495A3907E01FE06CB51280C649C7FCEB1FF028
447CC131>57 D<B56C933807FFFC6E5EA20001F1FE0026006FE0EE1BF8A3D967F01633A2
D963F81663A3D961FC16C3A3D960FEED0183A2027FED0303A36E6C1406A36E6C140CA26E
6C1418A36E6C1430A36E6C1460A26E6C14C0A36E6CEB0180A3037FEB0300A292383F8006
A36F6C5AA36F6C5AA26F6C5AA36F6C5AA36F6C5AA26FB45AA370C7FC13F0A2486C143ED8
0FFFEF0FFEB500F0011C0107B512FCA34E447BC359>77 D<B712E016FF17C000019039C0
003FF86C6C48EB03FCEE00FF717E717E717E717E717EA284170384A760A21707604D5AA2
4D5A4D5A4DC8FCEE01FEEE07F8EE3FE091B6C9FC16FC913980007F80EE0FE0707EEE03FC
707E160083717EA2717EA784A71A6084171FA21AE0716C13C02601FFE002071301B600C0
1680943801FC03943900FE0700CBEA3FFEF007F843467CC348>82
D<49B41303010FEBE007013F13F89039FE00FE0FD801F8131FD807E0EB079F49EB03DF48
486DB4FC48C8FC4881003E81127E82127C00FC81A282A37E82A27EA26C6C91C7FC7F7FEA
3FF813FE381FFFE06C13FE6CEBFFE06C14FC6C14FF6C15C0013F14F0010F80010180D900
1F7F14019138001FFF03031380816F13C0167F163F161F17E000C0150FA31607A37EA36C
16C0160F7E17806C151F6C16006C5D6D147ED8FBC05CD8F9F0495AD8F07C495A90393FC0
0FE0D8E00FB51280010149C7FC39C0003FF02B487BC536>I<EB07FC90383FFF809038F8
0FE03903C003F048C66C7E000E6D7ED80FC0137E486C137F6D6D7EA36F7EA26C5AEA0380
C8FCA4EC0FFF49B5FC90380FFE1FEB3FC0EBFF00EA03FC485A485A485A485A127F5B1760
48C7FCA3153FA36D137F007F14EF6D9038C7E0C0003F13013A1FE00783F13B07F81E03FF
802701FFFC0113003A001FE0007C2B2E7CAC31>97 D<EC7F80903803FFF090380FC07C90
383F000F01FCEB03804848EB01C00003140F4848EB1FE049133F120F485AA2485AED1FC0
007FEC070092C7FCA290C9FC5AAB7E7FA2123F16307F001F15706C6C146016E06C6C14C0
6C6C13010001EC03806C6CEB0700013F131E90381FC078903807FFF001001380242E7DAC
2B>99 D<167FED3FFFA315018182B3EC7F80903803FFF090380FC07C90383F000E017E13
07496D5AD803F87F48487F5B000F81485AA2485AA2127FA290C8FC5AAB7E7FA2123FA26C
7EA2000F5D7F6C6C5B00035C6C6C9038077F806C6C010E13C0013F011C13FE90380FC0F8
903803FFE09026007F0013002F467DC436>I<EA01FC12FFA3120712031201B3EC01FE91
3807FFC091381E07F091383801F802707FECE000D9FDC07F5C01FF147F91C7FCA25BA35B
B3A8486CECFF80B5D8F83F13FEA32F457DC436>104 D<EA01E0EA07F8A2487EA46C5AA2
EA01E0C8FCADEA01FC12FFA3120712031201B3B0487EB512F8A315437DC21C>I<EA01FC
12FFA3120712031201B3A292381FFFE0A36F1300ED07F816E05E5E030EC7FC5D5D5D5D4A
5A4A5A4AC8FC5CEC3F804A7E14FF9038FDCFE09038FF8FF01407496C7E01FC7F14016E7E
81816F7E82151F6F7E821507826F7E8282486C491380B5D8F81F13F8A32D457DC433>
107 D<EC7F80903803FFF090380FC0FC90383E001F496D7E496D7E48486D7E48486D7E48
486D7E000F81A24848147E003F157FA290C87E481680A44816C0AA6C1680A26D147F003F
1600A2001F157E6D14FE000F5D6D130100075D6C6C495A6C6C495A6C6C495A013E49C7FC
90381FC0FE903807FFF89038007F802A2E7DAC31>111 D<3903F803F000FFEB1FFCEC3C
3EEC707F0007EBE0FF3803F9C000015B13FBEC007E153C01FF13005BA45BB3A748B4FCB5
12FEA3202C7DAB26>114 D<1306A5130EA4131EA3133E137EA213FE12011207001FB512
F0B6FCA2C648C7FCB3A4150CAA017E131C017F1318A26D133890381F8030ECC070903807
E0E0903801FFC09038007F001E3E7EBC26>116 D E /Fj 12 118
df<B912F018FF19E019F8C601FCC8EA7FFED93FF892380FFF80011F04017F9538007FF0
F11FF8737EF103FE737E737F747E747E747E1A0F87747E1A0387747EA2741380A2F37FC0
A21CE01B3FA21CF0A21B1F1CF8A31CFCA21B0FA41CFEAF1CFCA51B1F1CF8A4F33FF0A21C
E0A21B7F1CC01BFF1C80A2501300A2505A505AA2505A505A505A505A1AFF4F5B4F90C7FC
F107FCF11FF8F17FF0953801FFC0013F04075BD9FFFCDB7FFEC8FCBA12F819E096C9FC18
F0576279E165>68 D<B500FC071FB51280A36E61C6F58000013F51C7FCD91DFFF177FCA2
011C6D18E7A36E6CEF01C7A36E6CEF0387A36E6CEF0707A26E6C170EA36E6C171CA36E6C
1738A36E6C1770A26E6D16E0A36F6CED01C0A36F6CED0380A36F6CED0700A26F6C150EA3
6F6C5DA36F6C5DA36F6C5DA26F6D5CA3706C495AA3706C495AA3706C49C7FCA2706C130E
A3706C5BA3706C5BA3706C5BA3706D5AA294387FC1C0A394383FE380A3DD1FF7C8FCA3EF
0FFEA2013E6F5AA2137F715A2601FFC04F7E000701F896383FFF80B66C6D48023FB61280
A3715A696278E17A>77 D<4AB47E020F13F8023F13FE9139FF007F80D903FCEB07E0D907
F0EB01F0D91FE0EB007849488049488049C87E48485D4915FF00034B138048485CA2485A
A2485AA2003F6F130049EC007C94C7FC127FA35B12FFAD127F7FA4123F7FA2001FEE01C0
7F000F16036D168012076C6C15076D160000015E6C6C151E6D6C5C6D6C5C6D6C5CD90FF8
495AD903FCEB07C0903A00FF803F8091263FFFFEC7FC020F13F80201138032417CBF3A>
99 D<EC03FE91381FFFE091B512F8903901FE03FE903A07F0007F8049486D7ED93FC06D
7E49C76C7E496E7E49140348488148481401000782491400000F8283485A1880123F4915
3FA2007F17C0A35BA212FF90B8FCA30180CAFCA9127F7FA3123FA27F121FEF01C06C7E17
036C6C1680A26C6C15070001EE0F006D150E6C6C151E6D6C5C6D6C5C6D6C5CD907F0EB03
E0D903FC495A902700FF803FC7FC91383FFFFC020F13F00201138032417CBF3A>101
D<133C13FF487F487FA66C5B6C90C7FC133C90C8FCB3A2EB03C0EA07FF127FA41201EA00
7FA2133FB3B3AC497E497EB612E0A41B5F7DDE23>105 D<EB03C0EA07FFB5FCA41201EA
007FA2133FB3B3B3B3AD497E497EB612F0A41C647DE323>108 D<D903C0EB7FE0D807FF
903803FFFCB5010F13FFDB3F0013C00378EB1FE04B6D7E0001D9C1C06D7E27007FC38080
02C7C71203D93FCE81170114DC14D802F86E7E5CA35CA35CB3B3496C4A7F496C4A7FB6D8
F003B612C0A4423F7DBE49>110 D<EDFF80020F13F8023F13FE9139FF007F80D903FCEB
1FE0D907F0EB07F0D90FC0EB01F8D93F80EB00FE49C8127F017E81496F7E48486F7E0003
8349150700078348486F7EA2001F83491501A2003F83A348486F7EA400FF1880AC007F18
00A26D5DA2003F5FA36C6C4B5AA36C6C4B5A00075FA26C6C4B5A6C6C4B5AA26C6C4B5A01
7F4BC7FC6D6C14FE6D6C495AD90FF0EB07F8D903FCEB1FE0D900FFEB7F806EB5C8FC020F
13F8020113C039417CBF42>I<9039078003F8D807FFEB0FFFB5013F13C092387C0FE091
3881F01F9238E03FF00001EB838039007F8700148FEB3F8E029CEB1FE0EE0FC00298EB03
0002B890C7FCA214B014F0A25CA55CB3B0497EEBFFF8B612FCA42C3F7CBE33>114
D<9139FFE00180010FEBFC03017FEBFF073A01FF001FCFD803F8EB03EFD807E0EB01FF48
487F4848147F48C8123F003E151F007E150F127CA200FC1507A316037EA27E7F6C7E6D91
C7FC13F8EA3FFE381FFFF06CEBFF806C14F86C14FF6C15C06C6C14F0011F80010714FED9
007F7F02031480DA003F13C01503030013E0167F00E0ED1FF0160F17F86C15071603A36C
1501A37EA26C16F016037E17E06D14076DEC0FC06D1580D8FDF0141FD8F8F8EC7F00013E
14FC3AF01FC00FF80107B512E0D8E001148027C0003FF8C7FC2D417DBF34>I<1438A714
78A414F8A31301A31303A21307130F131FA2137F13FF1203000F90B6FCB8FCA3260007F8
C8FCB3AE17E0AE6D6CEB01C0A316036D6C148016076D6C14006E6C5A91383FC01E91381F
F07C6EB45A020313E09138007F802B597FD733>I<D903C0150FD807FFED1FFFB50203B5
FCA40001ED0007D8007F1501A2013F81B3B25FA35FA35F011F15066E140E5F130F6E4A7F
01075D6D6C494813E0D901FE4948EBFFC0903A00FFC01F8091393FFFFE00020F13F80200
01C0EC800042407DBE49>I E end
TeXDict begin

1 0 bop 1373 289 a Fj(Multiuser)45 b(Detection)1656 530
y Fi(Scott)33 b(Ric)m(k)-5 b(ard)1643 725 y(Marc)m(h)34
b(3,)e(1999)515 1083 y Fh(Solution)45 b(to)h(Problem)f(3.17)515
1264 y Fg(The)32 b(signal)e(p)r(ortion)i(of)g Ff(y)s
Fg(\()p Ff(t)p Fg(\))e(=)f Ff(Abs)p Fg(\()p Ff(t)p Fg(\))22
b(+)f Ff(\033)s(n)p Fg(\()p Ff(t)p Fg(\))33 b(passes)d(through)h(the)h
(ideal)g(lo)n(w-pass)515 1364 y(\014lter)g(\()p Ff(B)j
Fg(=)953 1331 y Fe(1+)p Fd(\013)p 953 1345 128 4 v 1000
1393 a Fe(2)1090 1364 y Fg(\)\))e(undisturb)r(ed)g(b)r(ecause)e(it)i
(is)f(lo)n(wpass.)49 b(After)32 b(\014ltering,)h(the)g(noise)515
1464 y(has)21 b(p)r(o)n(w)n(er)g Ff(\033)944 1434 y Fe(2)982
1464 y Fg(\(1)7 b(+)g Ff(\013)p Fg(\),)23 b(and)f(b)r(ecause)g(it)g(is)
g(still)g(has)g(zero)f(mean,)27 b(~)-46 b Ff(n)o Fg(\()p
Ff(t)p Fg(\))24 b Fc(\030)f Ff(\021)s Fg(\(0)p Ff(;)14
b(\033)3048 1434 y Fe(2)3085 1464 y Fg(\(1)7 b(+)g Ff(\013)p
Fg(\)\).)515 1563 y(Th)n(us,)27 b(a)h(sample)f(tak)n(en)g(at)h(time)g
Ff(t)c Fg(=)f(0,)k(has)h(distribution)g Ff(\021)s Fg(\()p
Ff(Abs)p Fg(\(0\))p Ff(;)14 b(\033)2854 1533 y Fe(2)2892
1563 y Fg(\(1)k(+)g Ff(\013)p Fg(\)\))p Ff(:)29 b Fg(The)515
1663 y(probabilit)n(y)d(of)i(error)d(is)j(then,)1660
1891 y Ff(Q)1740 1774 y Fb(\022)1937 1835 y Ff(A)p 1810
1872 317 4 v 1810 1954 a(\033)1860 1888 y Fc(p)p 1930
1888 197 4 v 1930 1954 a Fg(1)18 b(+)g Ff(\013)2136 1774
y Fb(\023)2211 1891 y Ff(:)1039 b Fg(\(1\))515 2119 y(The)27
b(optim)n(um)h(detector)f(w)n(ould)g(ha)n(v)n(e)g(probabilit)n(y)f(of)i
(error,)1786 2347 y Ff(Q)1866 2229 y Fb(\022)1937 2290
y Ff(A)p 1937 2327 63 4 v 1943 2403 a(\033)2009 2229
y Fb(\023)2084 2347 y Ff(:)1166 b Fg(\(2\))515 2574 y(Note)23
b(that)h(optimal)g(detection)g(is)f(obtained)g(when)h
Ff(\013)g Fg(=)e(0.)35 b(W)-7 b(e)24 b(can)g(see)f(wh)n(y)g(this)h(is)g
(the)515 2674 y(case)29 b(b)n(y)h(noting)g(that)h(the)g(impulse)f(resp)
r(onse)g(of)g(the)h(lo)n(wpass)e(\014lter)h(is)g Ff(h)p
Fg(\()p Ff(t)p Fg(\))e(=)g(sinc)o(\()p Ff(t)p Fg(\))515
2774 y(whic)n(h)g(is)g(also)f(the)i(signal)e(itself.)40
b(Th)n(us,)28 b(the)h(op)r(eration)e(of)h(lo)n(wpass)f(\014ltering)h
Ff(y)s Fg(\()p Ff(t)p Fg(\))g(and)515 2873 y(sampling)f(at)g
Ff(t)c Fg(=)g(0)k(is)h(equiv)-5 b(alen)n(t)27 b(to)g(matc)n(hed)h
(\014ltering.)992 3098 y(\()p Ff(y)s Fg(\()p Ff(t)p Fg(\))19
b Fc(\003)f Ff(h)p Fg(\()p Ff(t)p Fg(\)\))1415 3110 y
Fd(t)p Fe(=0)1552 3098 y Fg(=)1640 2985 y Fb(Z)1723 3006
y Fa(1)1686 3174 y(\0001)1822 3098 y Ff(y)s Fg(\()p Ff(t)p
Fg(\))p Ff(h)p Fg(\()p Fc(\000)p Ff(t)p Fg(\))p Ff(dt)24
b Fg(=)2351 2985 y Fb(Z)2434 3006 y Fa(1)2397 3174 y(\0001)2533
3098 y Ff(y)s Fg(\()p Ff(t)p Fg(\))p Ff(s)p Fg(\()p Ff(t)p
Fg(\))p Ff(dt:)373 b Fg(\(3\))1926 5506 y(1)p eop end
userdict /end-hook known{end-hook}if