5.30.yingyao.ps

是multiuser detection 这本书的习题解答, 很有用的书.

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211F7E9E25>I E end
%%EndProlog
%%BeginSetup
%%Feature: *Resolution 300
TeXDict begin @letter
%%EndSetup
%%Page: 1 1
bop 618 482 a Fj(Solution)21 b(to)h(Problem)f(5.30)843 602
y Fi(Yingw)o(ei)15 b(Y)l(ao)839 700 y(April)g(9,)h(1999)262
853 y Fh(The)e(error)h(probabilit)o(y)d(of)h(con)o(v)o(en)o(tional)g(receiv)o
(er)j(for)d(user)i(1)f(is)262 963 y Fg(P)295 946 y Ff(c)289
974 y Fe(1)311 963 y Fh(\()p Fg(\033)q Fh(\))42 b(=)489 935
y(1)p 489 954 21 2 v 489 992 a(4)514 963 y([)p Fg(Q)p Fh(\()580
935 y Fg(A)611 941 y Fe(1)639 935 y Fh(+)9 b Fg(A)711 941 y
Fe(2)730 935 y Fg(\032)751 941 y Fe(12)796 935 y Fh(+)g Fg(A)868
941 y Fe(3)887 935 y Fg(\032)908 941 y Fe(13)p 580 954 364
2 v 749 992 a Fg(\033)949 963 y Fh(\))g(+)h Fg(Q)p Fh(\()1070
935 y Fg(A)1101 941 y Fe(1)1129 935 y Fh(+)f Fg(A)1201 941
y Fe(2)1220 935 y Fg(\032)1241 941 y Fe(12)1286 935 y Fd(\000)g
Fg(A)1358 941 y Fe(3)1377 935 y Fg(\032)1398 941 y Fe(13)p
1070 954 V 1239 992 a Fg(\033)1439 963 y Fh(\))g(+)h Fg(Q)p
Fh(\()1560 935 y Fg(A)1591 941 y Fe(1)1618 935 y Fd(\000)g
Fg(A)1691 941 y Fe(2)1710 935 y Fg(\032)1731 941 y Fe(12)1776
935 y Fh(+)f Fg(A)1848 941 y Fe(3)1867 935 y Fg(\032)1888 941
y Fe(13)p 1559 954 V 1729 992 a Fg(\033)1928 963 y Fh(\))484
1065 y(+)p Fg(Q)p Fh(\()570 1037 y Fg(A)601 1043 y Fe(1)629
1037 y Fd(\000)g Fg(A)701 1043 y Fe(2)720 1037 y Fg(\032)741
1043 y Fe(12)786 1037 y Fd(\000)g Fg(A)858 1043 y Fe(3)877
1037 y Fg(\032)898 1043 y Fe(13)p 570 1055 V 739 1093 a Fg(\033)939
1065 y Fh(\)])410 1166 y(=)489 1138 y(1)p 489 1157 21 2 v 489
1195 a(2)514 1166 y Fg(Q)p Fh(\()568 1138 y Fg(A)599 1144 y
Fe(1)p 568 1157 50 2 v 581 1195 a Fg(\033)623 1166 y Fh(\))g(+)695
1138 y(1)p 695 1157 21 2 v 695 1195 a(4)721 1166 y Fg(Q)p Fh(\()775
1138 y Fg(A)806 1144 y Fe(1)834 1138 y Fh(+)g(2)p Fg(A)927
1144 y Fe(1)946 1138 y Fg(\032)967 1144 y Fe(12)p 775 1157
228 2 v 876 1195 a Fg(\033)1007 1166 y Fh(\))h(+)1079 1138
y(1)p 1079 1157 21 2 v 1079 1195 a(4)1105 1166 y Fg(Q)p Fh(\()1159
1138 y Fg(A)1190 1144 y Fe(1)1218 1138 y Fd(\000)f Fh(2)p Fg(A)1311
1144 y Fe(1)1330 1138 y Fg(\032)1351 1144 y Fe(12)p 1159 1157
228 2 v 1260 1195 a Fg(\033)1391 1166 y Fh(\))262 1288 y(Since)18
b Fg(R)406 1270 y Fe(+)406 1299 y(11)458 1288 y Fh(=)616 1266
y Fe(1)p Fc(\000)p Ff(\032)676 1254 y Fb(2)676 1275 y(23)p
514 1278 296 2 v 514 1303 a Fe(1)p Fc(\000)p Ff(\032)574 1293
y Fb(2)574 1313 y(23)604 1303 y Fc(\000)p Fe(2)p Ff(\032)664
1293 y Fb(2)664 1313 y(12)694 1303 y Fe(\(1+)p Ff(\032)766
1307 y Fb(23)796 1303 y Fe(\))814 1288 y Fh(,)g(the)h(error)f(probabilit)o(y)
f(of)g(decorrelating)h(detector)262 1346 y(for)13 b(user)i(1)f(is)575
1430 y Fg(P)608 1413 y Ff(d)602 1441 y Fe(1)627 1430 y Fh(\()p
Fg(\033)q Fh(\))e(=)g Fg(Q)p Fh(\()836 1402 y Fg(A)867 1408
y Fe(1)p 794 1421 134 2 v 794 1479 a Fg(\033)819 1429 y Fa(q)p
861 1429 67 2 v 50 x Fg(R)893 1461 y Fe(+)893 1490 y(11)932
1430 y Fh(\))g(=)g Fg(Q)p Fh(\()1058 1402 y Fg(A)1089 1408
y Fe(1)p 1058 1421 50 2 v 1070 1459 a Fg(\033)1113 1354 y Fa(s)p
1154 1354 210 2 v 1154 1430 a Fh(1)d Fd(\000)1256 1402 y Fh(2)p
Fg(\032)1298 1388 y Fe(2)1298 1413 y(12)p 1231 1421 129 2 v
1231 1459 a Fh(1)f Fd(\000)i Fg(\032)1323 1465 y Fe(23)1364
1430 y Fh(\))262 1560 y(F)m(rom)i(the)i(assumption)f(that)610
1648 y(1)p 610 1666 21 2 v 610 1704 a(2)647 1676 y Fg(>)f Fd(j)p
Fg(\032)724 1682 y Fe(12)759 1676 y Fd(j)f Fg(>)885 1648 y
Fh(2)e Fd(\000)g Fh(2)p Fg(\032)998 1633 y Fe(2)998 1658 y(23)p
831 1666 257 2 v 831 1704 a Fh(3)g(+)h Fg(\032)924 1710 y Fe(23)968
1704 y Fd(\000)g Fh(2)p Fg(\032)1052 1690 y Fe(2)1052 1715
y(23)1104 1676 y Fh(=)1153 1648 y(2\(1)e Fd(\000)i Fg(\032)1282
1654 y Fe(23)1318 1648 y Fh(\))p 1153 1666 182 2 v 1169 1704
a(3)f Fd(\000)g Fh(2)p Fg(\032)1282 1710 y Fe(23)1339 1676
y Fg(;)262 1790 y Fh(w)o(e)14 b(ha)o(v)o(e,)725 1857 y Fg(\032)746
1863 y Fe(23)793 1857 y Fg(>)842 1829 y Fh(3)p 842 1847 21
2 v 842 1885 a(2)877 1857 y Fd(\000)1015 1829 y Fh(1)p 923
1847 205 2 v 923 1885 a(2\(1)9 b Fd(\000)h(j)p Fg(\032)1065
1891 y Fe(12)1100 1885 y Fd(j)p Fh(\))1144 1857 y Fg(>)1193
1829 y Fh(1)p 1193 1847 21 2 v 1193 1885 a(2)1219 1857 y Fg(:)262
1953 y Fh(Hence,)510 2027 y(1)f Fd(\000)612 1999 y Fh(2)p Fg(\032)654
1984 y Fe(2)654 2009 y(12)p 586 2018 129 2 v 586 2056 a Fh(1)g
Fd(\000)h Fg(\032)679 2062 y Fe(23)731 2027 y Fg(<)i Fh(1)d
Fd(\000)968 1999 y Fh(2)p Fg(\032)1010 1984 y Fe(2)1010 2009
y(12)p 851 2018 311 2 v 851 2058 a Fh(1)g Fd(\000)928 2041
y Fe(3)p 928 2048 17 2 v 928 2072 a(2)958 2058 y Fh(+)1073
2041 y Fe(1)p 1005 2048 153 2 v 1005 2072 a(2\(1)p Fc(\000j)p
Ff(\032)1105 2076 y Fb(12)1134 2072 y Fc(j)p Fe(\))1179 2027
y Fh(=)i(\(1)f Fd(\000)f Fh(2)p Fd(j)p Fg(\032)1364 2033 y
Fe(12)1399 2027 y Fd(j)p Fh(\))1427 2010 y Fe(2)515 2188 y
Fg(P)548 2171 y Ff(d)542 2199 y Fe(1)567 2188 y Fh(\()p Fg(\033)q
Fh(\))j(=)g Fg(Q)p Fh(\()734 2160 y Fg(A)765 2166 y Fe(1)p
734 2179 50 2 v 746 2217 a Fg(\033)788 2112 y Fa(s)p 830 2112
210 2 v 76 x Fh(1)d Fd(\000)932 2160 y Fh(2)p Fg(\032)974 2146
y Fe(2)974 2171 y(12)p 906 2179 129 2 v 906 2217 a Fh(1)g Fd(\000)h
Fg(\032)999 2223 y Fe(23)1040 2188 y Fh(\))h Fg(>)h(Q)p Fh(\()1165
2160 y Fg(A)1196 2166 y Fe(1)p 1165 2179 50 2 v 1177 2217 a
Fg(\033)1220 2188 y Fh(\(1)d Fd(\000)g Fh(2)p Fd(j)p Fg(\032)1361
2194 y Fe(12)1396 2188 y Fd(j)p Fh(\)\))262 2299 y(Comparing)k(the)j
(expression)g(of)f Fg(P)834 2284 y Ff(c)828 2309 y Fe(1)850
2299 y Fh(\()p Fg(\033)q Fh(\))h(and)f Fg(P)1038 2284 y Ff(d)1032
2309 y Fe(1)1057 2299 y Fh(\()p Fg(\033)q Fh(\),)h(it)f(is)g(easy)h(to)f(see)
h(that)g(the)g(error)262 2349 y(probabilit)o(y)g(of)g(decorrelating)j
(detector)g(for)e(user)i(1)e(is)g(strictly)h(higher)g(than)g(that)f(of)262
2398 y(single-user)d(matc)o(hed)f(\014lter)i(for)e(all)g(the)h
(signal-to-noise)f(ratio.)967 2574 y(1)p eop
%%Trailer
end
userdict /end-hook known{end-hook}if
%%EOF