www.pudn.com > SolutionsforMultiuserDetection.rar > 3.21.rickard.ps

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%DVIPSSource:  TeX output 1999.03.03:1614
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107 D111 D<3903F803F000FFEB1FFCEC3C
3EEC707F0007EBE0FF3803F9C000015B13FBEC007E153C01FF13005BA45BB3A748B4FCB5
12FEA3202C7DAB26>114 D<1306A5130EA4131EA3133E137EA213FE12011207001FB512
F0B6FCA2C648C7FCB3A4150CAA017E131C017F1318A26D133890381F8030ECC070903807
E0E0903801FFC09038007F001E3E7EBC26>116 D E /Fk 12 118
df68 D77 D<4AB47E020F13F8023F13FE9139FF007F80D903FCEB07E0D907
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TeXDict begin

1 0 bop 1373 289 a Fk(Multiuser)45 b(Detection)1656 530
y Fj(Scott)33 b(Ric)m(k)-5 b(ard)1643 725 y(Marc)m(h)34
b(3,)e(1999)515 1083 y Fi(Solution)45 b(to)h(Problem)f(3.21)515
1264 y Fh(W)-7 b(e)28 b(ha)n(v)n(e,)1628 1447 y Fg(H)1697
1459 y Ff(1)1817 1447 y Fh(:)83 b Fg(Z)29 b Fe(\030)22
b Fg(f)2137 1462 y Fd(Z)t Fc(j)p Ff(1)1817 1568 y Fh(.)1817
1602 y(.)1817 1635 y(.)1602 1759 y Fg(H)1671 1771 y Fd(m)1817
1759 y Fh(:)83 b Fg(Z)29 b Fe(\030)22 b Fg(f)2137 1774
y Fd(Z)t Fc(j)p Fd(m)2269 1759 y Fg(;)1413 2025 y(H)1482
2037 y Fd(J)1611 2025 y Fh(=)83 b Fe(f)p Fg(H)1870 2037
y Fd(i)1897 2025 y Fg(;)14 b(i)22 b Fe(2)i Fg(J)8 b Fe(g)1413
2150 y Fg(H)1497 2155 y Ff(\026)1482 2170 y Fd(J)1611
2150 y Fh(=)83 b Fe(f)p Fg(H)1870 2162 y Ff(1)1906 2150
y Fg(;)14 b(:)g(:)g(:)g(;)g(H)2160 2162 y Fd(m)2223 2150
y Fe(g)k(n)g Fg(H)2412 2162 y Fd(J)2458 2150 y Fg(;)515
2332 y Fh(and)27 b(th)n(us,)h(with)g Fe(j)p Fg(J)8 b
Fe(j)23 b Fh(=)g Fg(k)s Fh(,)1434 2554 y Fg(H)1503 2566
y Fd(J)1632 2554 y Fh(:)83 b Fg(Z)29 b Fe(\030)1924 2498
y Fh(1)p 1922 2535 46 4 v 1922 2611 a Fg(k)1991 2475
y Fb(X)1996 2653 y Fd(i)p Fc(2)p Fd(J)2125 2554 y Fg(f)2166
2569 y Fd(Z)t Fc(j)p Fd(i)1434 2809 y Fg(H)1518 2814
y Ff(\026)1503 2829 y Fd(J)1632 2809 y Fh(:)83 b Fg(Z)29
b Fe(\030)2011 2753 y Fh(1)p 1922 2790 221 4 v 1922 2866
a Fg(m)18 b Fe(\000)g Fg(k)2166 2730 y Fb(X)2170 2912
y Fd(i)7 b(=)-41 b Fc(2)q Fd(J)2299 2809 y Fg(f)2340
2824 y Fd(Z)t Fc(j)p Fd(i)2437 2809 y Fg(:)515 3074 y
Fh(W)-7 b(e)28 b(w)n(an)n(t)f(to)g(pic)n(k)g(the)h(larger)e(of)i(the)g
(t)n(w)n(o)e Fa(a)31 b(p)l(osteriori)e Fh(probabilities,)1124
3305 y Fg(P)12 b Fh([)p Fg(H)1281 3317 y Fd(J)1328 3305
y Fe(j)p Fg(z)t Fh(])22 b(=)1832 3243 y Fg(f)1873 3258
y Fd(Z)t Fc(j)p Fd(J)1988 3243 y Fh(\()p Fg(z)t Fh(\))p
Fg(P)12 b Fh([)p Fg(H)2252 3255 y Fd(J)2298 3243 y Fh(])p
1537 3286 1080 4 v 1537 3362 a Fg(f)1578 3377 y Fd(Z)t
Fc(j)p Fd(J)1693 3362 y Fh(\()p Fg(z)t Fh(\))p Fg(P)g
Fh([)p Fg(H)1957 3374 y Fd(J)2003 3362 y Fh(])18 b(+)g
Fg(f)2168 3382 y Fd(Z)t Fc(j)2252 3367 y Ff(\026)2237
3382 y Fd(J)2283 3362 y Fh(\()p Fg(z)t Fh(\))p Fg(P)12
b Fh([)p Fg(H)2562 3367 y Ff(\026)2547 3382 y Fd(J)2593
3362 y Fh(])1101 3558 y Fg(P)g Fh([)p Fg(H)1273 3563
y Ff(\026)1258 3578 y Fd(J)1305 3558 y Fe(j)p Fg(z)t
Fh(])22 b(=)1809 3492 y Fg(f)1850 3511 y Fd(Z)t Fc(j)1934
3496 y Ff(\026)1919 3511 y Fd(J)1965 3492 y Fh(\()p Fg(z)t
Fh(\))p Fg(P)12 b Fh([)p Fg(H)2244 3497 y Ff(\026)2229
3512 y Fd(J)2275 3492 y Fh(])p 1514 3539 V 1514 3615
a Fg(f)1555 3630 y Fd(Z)t Fc(j)p Fd(J)1670 3615 y Fh(\()p
Fg(z)t Fh(\))p Fg(P)g Fh([)p Fg(H)1934 3627 y Fd(J)1980
3615 y Fh(])18 b(+)g Fg(f)2145 3634 y Fd(Z)t Fc(j)2229
3619 y Ff(\026)2214 3634 y Fd(J)2260 3615 y Fh(\()p Fg(z)t
Fh(\))p Fg(P)12 b Fh([)p Fg(H)2539 3620 y Ff(\026)2524
3635 y Fd(J)2570 3615 y Fh(])2603 3558 y Fg(:)515 3813
y Fh(Since,)28 b Fg(P)12 b Fh([)p Fg(H)912 3825 y Fd(J)958
3813 y Fh(])23 b(=)1113 3781 y Fd(k)p 1102 3795 59 4
v 1102 3842 a(m)1198 3813 y Fh(and)28 b Fg(P)12 b Fh([)p
Fg(H)1532 3818 y Ff(\026)1517 3833 y Fd(J)1563 3813 y
Fh(])23 b(=)1707 3781 y Fd(m)p Fc(\000)p Fd(k)p 1707
3795 148 4 v 1751 3842 a(m)1864 3813 y Fh(,)1204 4078
y(\012)1264 4090 y Fd(J)1393 4078 y Fh(=)1541 3937 y
Fb(\()1608 4078 y Fg(z)j Fh(:)1719 4000 y Fb(X)1724 4178
y Fd(i)p Fc(2)p Fd(J)1853 4078 y Fg(f)1894 4093 y Fd(Z)t
Fc(j)p Fd(i)1990 4078 y Fh(\()p Fg(z)t Fh(\))d Fg(>)2208
4000 y Fb(X)2213 4182 y Fd(i)7 b(=)-41 b Fc(2)p Fd(J)2342
4078 y Fg(f)2383 4093 y Fd(Z)t Fc(j)p Fd(i)2479 4078
y Fh(\()p Fg(z)t Fh(\))2586 3937 y Fb(\))1204 4373 y
Fh(\012)1279 4378 y Ff(\026)1264 4393 y Fd(J)1393 4373
y Fh(=)1541 4231 y Fb(\()1608 4373 y Fg(z)26 b Fh(:)1719
4294 y Fb(X)1724 4472 y Fd(i)p Fc(2)p Fd(J)1853 4373
y Fg(f)1894 4388 y Fd(Z)t Fc(j)p Fd(i)1990 4373 y Fh(\()p
Fg(z)t Fh(\))d Fe(\024)2208 4294 y Fb(X)2213 4476 y Fd(i)7
b(=)-41 b Fc(2)p Fd(J)2342 4373 y Fg(f)2383 4388 y Fd(Z)t
Fc(j)p Fd(i)2479 4373 y Fh(\()p Fg(z)t Fh(\))2586 4231
y Fb(\))2667 4373 y Fg(:)1926 5506 y Fh(1)p eop end
userdict /end-hook known{end-hook}if