www.pudn.com > SolutionsforMultiuserDetection.rar > 3.25.huaidai.ps

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%DVIPSSource:  TeX output 1999.02.26:0100
/TeXDict 250 dict def TeXDict begin /N{def}def /B{bind def}N /S{exch}N
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1F00FF14FF90B6FCA2232B7DAA2B>I E /Fk 21 118 df<007FBA1280BBFCA31AC06C01
C0C712016C6DEC000F6C17016C6D816E163F6C6D161F6C7F6C6DEE0FE06C1807816D6D15
036D7F6D6D15017F6D7F6F16F06D6D15006D7F7F6E6D1500826E7F6E7F806E7F826E7F6E
7F80815E6F5A6F5A6F5A5E4B5A4B5A4BC912F015FE4A5A4A4815014A4816E04A5A4A5ADA
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D46
D50 DI<0007150301E0143F01FFEB
07FF91B6FC5E5E5E5E5E16804BC7FC5D15E092C8FC01C0C9FCAAEC3FF001C1B5FC01C714
C001DF14F09039FFE03FFC9138000FFE01FC6D7E01F06D13804915C0497F6C4815E0C8FC
6F13F0A317F8A4EA0F80EA3FE0487E12FF7FA317F05B5D6C4815E05B007EC74813C0123E
003F4A1380D81FC0491300D80FF0495AD807FEEBFFFC6CB612F0C65D013F1480010F01FC
C7FC010113C02D427BC038>53 D58 D80 D83 D<007FB6D8C003B61280A5D8000F01E0C7D801F8C7FC6D4C5A
6F14076D6D5D6D6D4A5A4E5A6D6D143F6E6C92C8FC6E157E705B6EEBC0016E01E05B4D5A
6E6D485A6EEBF80F6E01FC5B4D5A6E6D48C9FC6F6C5A6F137E5F6F5B815F816F7F81836F
7F707E93B5FC844B805D4B8004E77FDB0FC37FED1F83DB3F817F04007F037E137F4B8002
016E7F4B6D7F4A5A4A486D7F020F6E7F4B7F4A48814AC76C7F717F147E4A6F7E0101707F
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DI98
D101
D<137C48B4FC4813804813C0A24813E0A56C13C0A26C13806C1300EA007C90C7FCAAEB7F
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01B512E002816E4880913D87F01FFC0FE03FF8913D8FC00FFE1F801FFC0003D99F009026
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6DEB3F8001E0EB7F009038F803FE90B55A00FC5CD8F03F13E026E007FEC7FC232F7CAD2C
>III E /Fl 7 102 df<14075C5C147F5C1307133F000FB5
FCB6FC13F913C1EAF0011200B3B3B3A7497F010F13E0B712FEA4274F75CE3B>49
DI<000316C001C0140301F8141F903AFFC003FF8091B612
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B4EB7FE06DB51280011F49C7FC010713F8010013C02E517ACE3B>53
D57 D70 D98 D101
D E /Fm 6 122 df<020FB712FEF1FFE04A17F8869126000FFEC7EA1FFF6F4802037F07
007F030FEE3FE0747E4C150F747E031F707EA24C6F7EA2033F83865EA2037FEF7F80A25E
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D<020FB6D8C007B612E0A24A4B4815C0A2DA000F90C80007EB80006F486F90C7FC4C5E03
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01075E615CA2010F1607615CA2011F160FA2017F163FB600FC017FB512FEA45B5278D157
>72 D97 D105 D117 D121
D E /Fn 12 120 df51
D<183CA2187C18FCA217011703A21707170FA2171FA2173F177F177717F7EE01E717C716
031787EE0707160F160E161E163C1638167816F016E0150116C01503ED078016005D151E
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D101
D107 D109 D111
D114
D119 D
E end
TeXDict begin

1 0 bop 1146 569 a Fn(ELE533)52 b(Homew)l(ork)f(4)1586
951 y Fm(Huaiyu)40 b(Dai)1574 1271 y Fl(25)f(F)-10 b(eb)39
b(1999)-186 1681 y Fk(Problem)23 b(3.25.)40 b Fj(Find)21
b Fi(E)6 b Fj([)p Fi(Q)p Fj(\()p Fh(k)p Fk(X)p Fh(k)p
Fj(\)])22 b(if)e Fk(X)h Fj(is)h(a)f(complexed-v)-5 b(alued,)23
b(zero-mean)f(Gaussian)f(three-dimensional)-186 1801
y(v)m(ector)34 b(with)e(indep)s(enden)m(t)i(co)s(e\016cien)m(ts)f(with)
g(indep)s(enden)m(t)g(real)f(and)h(imaginary)d(parts)i(and)h(v)-5
b(ariances)1490 1977 y Fi(E)6 b Fj([)p Fh(j)p Fk(X)1708
1992 y Fg(1)1747 1977 y Fh(j)1775 1936 y Fg(2)1814 1977
y Fj(])84 b(=)e(2)p Fi(\015)2188 1936 y Fg(2)2228 1977
y Fi(;)1490 2123 y(E)6 b Fj([)p Fh(j)p Fk(X)1708 2138
y Fg(2)1747 2123 y Fh(j)1775 2082 y Fg(2)1814 2123 y
Fj(])84 b(=)e(2)p Fi(\015)2188 2082 y Fg(2)2228 2123
y Fi(;)1490 2268 y(E)6 b Fj([)p Fh(j)p Fk(X)1708 2283
y Fg(3)1747 2268 y Fh(j)1775 2227 y Fg(2)1814 2268 y
Fj(])84 b(=)e(4)p Fi(\015)2188 2227 y Fg(2)2228 2268
y Fi(:)-186 2530 y Fk(Solutions:)-186 2736 y Fj(As)33
b(in)f(problem)f(3-24,)h(w)m(e)h(ha)m(v)m(e)1016 2981
y Fi(U)38 b Fj(=)28 b Fh(k)p Fk(X)p Fh(k)1409 2940 y
Fg(2)1475 2981 y Fj(=)g Fk(X)1664 2940 y Ff(\003)1703
2981 y Fk(X)f Fj(=)g Fk(Y)2006 2940 y Ff(\003)2045 2981
y Fk(\006Y)j Fj(=)2381 2873 y Fe(L)2345 2898 y Fd(X)2348
3081 y Fe(i)p Fg(=1)2481 2981 y Fi(\025)2538 2996 y Fe(i)2567
2981 y Fh(j)p Fi(Y)2652 2996 y Fe(i)2679 2981 y Fh(j)2707
2940 y Fg(2)3823 2981 y Fj(\(1\))-186 3232 y(where)44
b Fi(\025)163 3247 y Fg(1)247 3232 y Fj(=)h Fi(\025)425
3247 y Fg(2)509 3232 y Fj(=)g(2)p Fi(\015)735 3196 y
Fg(2)774 3232 y Fi(;)17 b(\025)875 3247 y Fg(3)959 3232
y Fj(=)45 b(4)p Fi(\015)1185 3196 y Fg(2)1266 3232 y
Fj(And)f Fk(Y)h Fj(is)d(a)g(Gaussian)g(v)m(ector)i(obtained)e(from)g
Fk(X)g Fj(through)g(linear)-186 3352 y(transformation.It)28
b(has)i(indep)s(enden)m(t)h(zero-mean)f(and)g(unit)f(v)-5
b(ariance)29 b(co)s(e\016cien)m(ts)i(with)f(indep)s(enden)m(t)h(real)
-186 3473 y(and)i(imaginary)d(parts.)-186 3679 y(With)d(partial)e
(fraction)i(expansion)h(of)f(the)h(c)m(haracteristic)f(function\(with)g
Fc(L)-5 b(aplacian)29 b(T)-7 b(r)i(ansform)p Fj(\))26
b(of)h Fh(k)p Fk(X)p Fh(k)3882 3643 y Fg(2)3921 3679
y Fj(,)-186 3799 y(w)m(e)34 b(get)276 4042 y Fi(E)6 b
Fj([)p Fi(e)426 4001 y Ff(\000)p Fe(s)p Ff(k)p Fb(x)p
Ff(k)627 3977 y Fa(2)666 4042 y Fj(])27 b(=)864 3934
y Fg(3)828 3959 y Fd(Y)824 4141 y Fe(i)p Fg(=1)1090 3974
y Fj(1)p 965 4018 300 4 v 965 4110 a Fi(s\025)1068 4125
y Fe(i)1118 4110 y Fj(+)22 b(1)1302 4042 y(=)1448 3934
y Fg(3)1406 3959 y Fd(X)1409 4141 y Fe(i)p Fg(=1)1657
3974 y Fi(\013)1719 3989 y Fe(i)p 1552 4018 V 1552 4110
a Fi(s\025)1655 4125 y Fe(i)1706 4110 y Fj(+)g(1)1890
4042 y(=)2159 3974 y(4)p 2004 4018 360 4 v 2004 4110
a(1)f(+)h(4)p Fi(\015)2277 4081 y Fg(2)2317 4110 y Fi(s)2395
4042 y Fj(+)2619 3974 y Fh(\000)p Fj(2)p 2503 4018 V
2503 4110 a(1)g(+)g(2)p Fi(\015)2777 4081 y Fg(2)2816
4110 y Fi(s)2894 4042 y Fj(+)3176 3974 y Fh(\000)p Fj(1)p
3002 4018 475 4 v 3002 4110 a(\(1)g(+)g(2)p Fi(\015)3314
4081 y Fg(2)3353 4110 y Fi(s)p Fj(\))3437 4081 y Fg(2)3823
4042 y Fj(\(2\))-186 4378 y(With)32 b(in)m(v)m(erse)i
Fc(L)-5 b(aplacian)34 b(T)-7 b(r)i(ansform)31 b Fj(of)h(Eq.)h(2)f(w)m
(e)i(get)f(the)g Fc(p)-5 b(df)32 b Fj(of)g Fh(k)p Fk(X)p
Fh(k)2607 4342 y Fg(2)774 4599 y Fi(f)822 4614 y Fe(U)881
4599 y Fj(\()p Fi(u)p Fj(\))27 b(=)1177 4531 y(1)p 1153
4576 96 4 v 1153 4667 a Fi(\015)1209 4638 y Fg(2)1259
4599 y Fi(e)1304 4558 y Ff(\000)p Fe(u=)p Fg(4)p Fe(\015)1510
4534 y Fa(2)1571 4599 y Fh(\000)1704 4531 y Fj(1)p 1681
4576 V 1681 4667 a Fi(\015)1737 4638 y Fg(2)1786 4599
y Fi(e)1831 4558 y Ff(\000)p Fe(u=)p Fg(2)p Fe(\015)2037
4534 y Fa(2)2099 4599 y Fh(\000)2256 4531 y Fj(1)p 2209
4576 145 4 v 2209 4667 a(4)p Fi(\015)2314 4638 y Fg(4)2363
4599 y Fi(ue)2464 4558 y Ff(\000)p Fe(u=)p Fg(2)p Fe(\015)2670
4534 y Fa(2)2709 4599 y Fi(;)17 b(u)27 b(>)g Fj(0)835
b(\(3\))-186 4904 y(So)172 5115 y Fi(P)14 b Fj(\()p Fh(k)p
Fk(X)p Fh(k)26 b(\024)i Fi(x)p Fj(\))g(=)g Fi(P)14 b
Fj(\()p Fi(U)38 b Fh(\024)28 b Fi(x)1207 5074 y Fg(2)1247
5115 y Fj(\))83 b(=)1527 4998 y Fd(Z)1610 5024 y Fe(x)1650
5001 y Fa(2)1573 5186 y Fg(0)1705 5115 y Fi(f)1753 5130
y Fe(U)1812 5115 y Fj(\()p Fi(u)p Fj(\))p Fi(du)1368
5351 y Fj(=)g(4\(1)21 b Fh(\000)i Fi(e)1829 5310 y Ff(\000)p
Fe(x)1924 5287 y Fa(2)1958 5310 y Fe(=)p Fg(4)p Fe(\015)2068
5287 y Fa(2)2108 5351 y Fj(\))f Fh(\000)h Fj(3\(1)e Fh(\000)i
Fi(e)2570 5310 y Ff(\000)p Fe(x)2665 5287 y Fa(2)2699
5310 y Fe(=)p Fg(2)p Fe(\015)2809 5287 y Fa(2)2849 5351
y Fj(\))f(+)3065 5284 y(1)p 3017 5328 V 3017 5420 a(2)p
Fi(\015)3122 5391 y Fg(2)3171 5351 y Fi(x)3226 5310 y
Fg(2)3266 5351 y Fi(e)3311 5310 y Ff(\000)p Fe(x)3406
5287 y Fa(2)3440 5310 y Fe(=)p Fg(2)p Fe(\015)3550 5287
y Fa(2)3823 5351 y Fj(\(4\))1857 5655 y(1)p eop
2 1 bop -186 167 a Fj(Finally)360 426 y Fi(E)6 b Fj([)p
Fi(Q)p Fj(\()p Fh(k)p Fk(X)p Fh(k)p Fj(\)])83 b(=)1153
358 y(1)p 1082 402 191 4 v 1082 420 a Fh(p)p 1165 420
108 4 v 82 x Fj(2)p Fi(\031)1299 309 y Fd(Z)1382 335
y Ff(1)1345 497 y Fg(0)1473 426 y Fi(P)14 b Fj(\()p Fh(k)p
Fk(X)p Fh(k)27 b(\024)h Fi(x)p Fj(\))17 b Fi(e)2060 385
y Ff(\000)p Fe(x)2155 361 y Fa(2)2189 385 y Fe(=)p Fg(2)2264
426 y Fi(dx)913 711 y Fj(=)83 b(2\(1)21 b Fh(\000)1329
556 y Fd(s)p 1412 556 334 4 v 1507 644 a Fj(2)p Fi(\015)1612
615 y Fg(2)p 1422 688 314 4 v 1422 780 a Fj(1)h(+)g(2)p
Fi(\015)1696 751 y Fg(2)1745 711 y Fj(\))g Fh(\000)h
Fj(3)p Fi(=)p Fj(2\(1)e Fh(\000)2260 556 y Fd(s)p 2343
556 285 4 v 2437 644 a Fi(\015)2493 615 y Fg(2)p 2353
688 265 4 v 2353 780 a Fj(1)h(+)g Fi(\015)2578 751 y
Fg(2)2627 711 y Fj(\))g(+)g(1)p Fi(=)p Fj(4)3138 644
y Fi(\015)p 2942 688 451 4 v 2942 780 a Fj(\(1)f(+)h
Fi(\015)3204 751 y Fg(2)3244 780 y Fj(\))3282 751 y Fg(3)p
Fe(=)p Fg(2)3823 711 y Fj(\(5\))1857 5655 y(2)p eop end
userdict /end-hook known{end-hook}if