www.pudn.com > SolutionsforMultiuserDetection.rar > 3.6.lizhongzheng.ps

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D119 D E end
%%EndProlog
%%BeginSetup
%%Feature: *Resolution 300dpi
TeXDict begin

%%EndSetup
%%Page: 1 1
1 0 bop 694 315 a Fl(EE290N)22 b(Homew)n(ork)262 411
y Fk(Problem)14 b(3.6:)22 b(Solution)16 b(b)o(y)g(Lizhong)h(Zheng)262
469 y(\(a\):)324 528 y(\()p Fj(Y)371 535 y Fi(1)391 528
y Fj(;)8 b(Y)441 535 y Fi(2)461 528 y Fj(;)g Fh(\001)g(\001)g(\001)p
Fk(\)are)19 b(indep)q(enden)o(t)f(observ)m(ations,)j(so)e(giv)o(en)g
Fj(H)1452 535 y Fi(0)1491 528 y Fk(or)h Fj(H)1594 535
y Fi(1)1614 528 y Fk(,)f Fj(Y)1675 535 y Fg(j)262 586
y Fk(is)d(indep)q(enden)o(t)f(of)i Fj(Y)671 593 y Fi(1)699
586 y Fh(\001)8 b(\001)g(\001)g Fj(Y)793 593 y Fg(j)r
Ff(\000)p Fi(1)857 586 y Fk(,)16 b(ie:)596 687 y Fj(f)5
b Fk(\()p Fj(y)668 694 y Fi(1)688 687 y Fj(;)j(y)734
694 y Fi(2)753 687 y Fj(;)g Fh(\001)g(\001)g(\001)g Fj(;)g(y)887
694 y Fg(j)919 687 y Fh(j)14 b Fj(H)987 694 y Fg(i)1001
687 y Fk(\))g(=)1086 654 y Fe(Q)1125 663 y Fg(j)1125
700 y(k)q Fi(=1)1200 687 y Fj(f)1224 695 y Fg(Y)8 b Ff(j)p
Fg(i)1276 687 y Fk(\()p Fj(y)1319 694 y Fg(k)1340 687
y Fk(\))324 783 y(where)16 b Fj(i)d Fk(=)h(0)j(or)f(1.)324
841 y(since)10 b Fj(l)q Fk(\(0\))k(=)f Fj(l)q(og)r Fk([)p
Fj(\031)687 848 y Fi(1)707 841 y Fk([0])p Fh(\000)p Fk(1])g(=)g
Fj(l)q(og)r Fk([)990 818 y Fg(P)5 b Fi(\()p Fg(H)1060
823 y Fd(0)p 983 829 101 2 v 983 858 a Fg(P)g Fi(\()p
Fg(H)1053 863 y Fd(1)1070 858 y Fi(\))1089 841 y Fk(],)11
b(and)h Fj(l)q Fk(\()p Fj(j)s Fk(\))h(=)h Fj(l)q Fk(\(0\)+)1476
808 y Fe(P)1519 817 y Fg(j)1519 853 y(k)q Fi(=1)1594
841 y Fj(\025)p Fk(\()p Fj(y)1665 848 y Fg(k)1687 841
y Fk(\),)262 899 y(so)695 987 y Fj(l)q Fk(\()p Fj(j)s
Fk(\))f(=)h Fj(l)q(og)r Fk([)920 962 y Fg(f)t Fi(\()p
Fg(y)972 967 y Fd(1)989 962 y Fg(;)p Ff(\001\001\001)o
Fg(;y)1055 967 y Fc(j)1071 962 y Ff(j)p Fg(H)1110 967
y Fd(0)1127 962 y Fi(\))p Fg(P)5 b Fi(\()p Fg(H)1211
967 y Fd(0)1228 962 y Fi(\))p 920 976 323 2 v 920 1004
a Fg(f)t Fi(\()p Fg(y)972 1009 y Fd(1)989 1004 y Fg(;)p
Ff(\001\001\001)o Fg(;y)1055 1009 y Fc(j)1071 1004 y
Ff(j)p Fg(H)1110 1009 y Fd(1)1127 1004 y Fi(\))p Fg(P)g
Fi(\()p Fg(H)1211 1009 y Fd(1)1228 1004 y Fi(\))1247
987 y Fk(])324 1083 y(and)332 1179 y Fj(\031)360 1186
y Fi(1)380 1179 y Fk([)p Fj(j)s Fk(])40 b(=)i Fj(P)7
b Fk(\()p Fj(H)648 1186 y Fi(1)682 1179 y Fh(j)14 b Fj(y)734
1186 y Fi(1)753 1179 y Fj(;)8 b Fh(\001)g(\001)g(\001)g
Fj(;)g(y)887 1186 y Fg(j)905 1179 y Fk(])471 1281 y(=)836
1247 y Fj(f)d Fk(\()p Fj(y)908 1254 y Fi(1)928 1247 y
Fj(;)j Fh(\001)g(\001)g(\001)g Fj(;)g(y)1062 1254 y Fg(j)1094
1247 y Fh(j)14 b Fj(H)1162 1254 y Fi(1)1182 1247 y Fk(\))p
Fj(P)7 b Fk(\()p Fj(H)1298 1254 y Fi(1)1318 1247 y Fk(\))p
556 1269 1062 2 v 556 1315 a Fj(f)e Fk(\()p Fj(y)628
1322 y Fi(1)648 1315 y Fj(;)j Fh(\001)g(\001)g(\001)g
Fj(;)g(y)782 1322 y Fg(j)814 1315 y Fh(j)13 b Fj(H)881
1322 y Fi(1)902 1315 y Fk(\))p Fj(P)7 b Fk(\()p Fj(H)1018
1322 y Fi(1)1038 1315 y Fk(\))k(+)g Fj(f)5 b Fk(\()p
Fj(y)1189 1322 y Fi(1)1209 1315 y Fj(;)j Fh(\001)g(\001)g(\001)g
Fj(;)g(y)1343 1322 y Fg(j)1375 1315 y Fh(j)13 b Fj(H)1442
1322 y Fi(0)1462 1315 y Fk(\))p Fj(P)7 b Fk(\()p Fj(H)1578
1322 y Fi(0)1599 1315 y Fk(\))471 1411 y(=)675 1377 y(1)p
556 1400 263 2 v 556 1445 a(1)k(+)g Fj(exp)p Fk(\()p
Fj(l)q Fk([)p Fj(j)s Fk(]\))262 1681 y(\(b\):)324 1739
y(from)k(\(a\))i(w)o(e)e(ha)o(v)o(e:)599 1839 y Fj(l)q
Fk(\()p Fj(j)s Fk(\))f(=)f Fj(l)q(og)r Fk([)824 1816
y Fg(P)5 b Fi(\()p Fg(H)894 1821 y Fd(0)912 1816 y Fi(\))p
824 1828 101 2 v 824 1857 a Fg(P)g Fi(\()p Fg(H)894 1862
y Fd(1)912 1857 y Fi(\))930 1839 y Fk(])11 b(+)1004 1806
y Fe(P)1048 1816 y Fg(j)1048 1852 y(k)q Fi(=1)1122 1839
y Fj(l)q(og)r Fk([)1205 1811 y Fg(f)1222 1818 y Fc(Y)c
Fb(j)p Fd(0)1273 1811 y Fi(\()p Fg(y)1304 1817 y Fc(k)1324
1811 y Fi(\))p 1205 1828 133 2 v 1205 1857 a Fg(f)1222
1864 y Fc(Y)g Fb(j)p Fd(1)1273 1857 y Fi(\()p Fg(y)1304
1863 y Fc(k)1324 1857 y Fi(\))1342 1839 y Fk(])324 1953
y(and)432 1933 y Fi(1)p 432 1941 18 2 v 433 1970 a Fg(j)454
1953 y Fj(l)q(og)r Fk([)537 1929 y Fg(P)e Fi(\()p Fg(H)607
1934 y Fd(0)624 1929 y Fi(\))p 537 1941 101 2 v 537 1970
a Fg(P)g Fi(\()p Fg(H)607 1975 y Fd(1)624 1970 y Fi(\))643
1953 y Fk(])27 b Fh(!)g Fk(0)e(as)g Fj(j)30 b Fh(!)e(1)p
Fk(,)d(and)g(b)o(y)f(strong)h(la)o(w)f(of)h(large)262
2036 y(n)o(um)o(b)q(ers,)486 2016 y Fi(1)p 486 2024 18
2 v 487 2053 a Fg(j)517 2002 y Fe(P)561 2012 y Fg(j)561
2048 y(k)q Fi(=1)635 2036 y Fj(l)q(og)r Fk([)718 2007
y Fg(f)735 2014 y Fc(Y)7 b Fb(j)p Fd(0)786 2007 y Fi(\()p
Fg(y)817 2013 y Fc(k)837 2007 y Fi(\))p 718 2024 133
2 v 718 2053 a Fg(f)735 2060 y Fc(Y)g Fb(j)p Fd(1)786
2053 y Fi(\()p Fg(y)817 2059 y Fc(k)837 2053 y Fi(\))882
2036 y Fh(!)26 b Fj(E)994 2043 y Fg(Y)1024 2036 y Fk([)p
Fj(l)q(og)r Fk(\()1126 2007 y Fg(f)1143 2014 y Fc(Y)6
b Fb(j)p Fd(0)p 1126 2024 69 2 v 1126 2053 a Fg(f)1143
2060 y Fc(Y)g Fb(j)p Fd(1)1199 2036 y Fk(\)],)25 b(ie)d(giv)o(en)h
(that)h Fj(H)1617 2043 y Fi(1)1661 2036 y Fk(is)262 2108
y(true,)15 b Fj(L)p Fk(\()p Fj(j)s Fk(\))p Fj(=j)20 b
Fk(con)o(v)o(erges)15 b(to:)508 2234 y Fj(E)544 2241
y Fg(Y)8 b Ff(j)p Fi(1)602 2234 y Fk([)p Fj(l)q(og)r
Fk(\()704 2199 y Fj(f)728 2207 y Fg(Y)g Ff(j)p Fi(0)p
704 2222 82 2 v 704 2268 a Fj(f)728 2276 y Fg(Y)g Ff(j)p
Fi(1)790 2234 y Fk(\)])41 b(=)944 2175 y Fe(Z)994 2234
y Fj(f)1018 2241 y Fg(Y)8 b Ff(j)p Fi(1)1075 2234 y Fk(\()p
Fj(y)r Fk(\))p Fj(l)q(og)r Fk(\()1227 2199 y Fj(f)1251
2207 y Fg(Y)g Ff(j)p Fi(0)1309 2199 y Fk(\()p Fj(y)r
Fk(\))p 1227 2222 146 2 v 1227 2268 a Fj(f)1251 2276
y Fg(Y)g Ff(j)p Fi(1)1309 2268 y Fk(\()p Fj(y)r Fk(\))1377
2234 y(\))p Fj(dy)864 2338 y Fk(=)42 b Fh(\000)p Fj(D)q
Fk(\()p Fj(f)1067 2346 y Fg(Y)9 b Ff(j)p Fi(1)1125 2338
y Fh(k)p Fj(f)1174 2346 y Fg(Y)f Ff(j)p Fi(0)1232 2338
y Fk(\))324 2433 y(and)17 b(similarly)l(,)c(if)i Fj(H)712
2440 y Fi(0)749 2433 y Fk(is)h(true,)f Fj(L)p Fk(\()p
Fj(j)s Fk(\))p Fj(=j)20 b Fk(con)o(v)o(erges)15 b(to)i
Fj(D)q Fk(\()p Fj(f)1434 2441 y Fg(Y)9 b Ff(j)p Fi(0)1493
2433 y Fh(k)p Fj(f)1542 2441 y Fg(Y)f Ff(j)p Fi(1)1599
2433 y Fk(\).)967 2574 y Fa(1)p eop
%%Trailer
end
userdict /end-hook known{end-hook}if
%%EOF