6.1.rickard.ps

是multiuser detection 这本书的习题解答, 很有用的书.

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TeXDict begin

1 0 bop 1373 139 a Fl(Multiuser)45 b(Detection)1656 380
y Fk(Scott)33 b(Ric)m(k)-5 b(ard)1645 575 y(April)31
b(16,)h(1999)515 933 y Fj(Solution)45 b(to)h(Problem)f(6.1)515
1131 y Fi(\(a\))515 1393 y Fh(\001)83 b(=)111 b(lim)815
1443 y Fg(\033)r Ff(!1)1038 1337 y Fe(\033)p 1011 1374
104 4 v 1011 1450 a(A)1073 1462 y Fg(k)1124 1393 y Fh([)p
Fe(P)1212 1359 y Fg(o)1200 1413 y(k)1249 1393 y Fh(\()p
Fe(\033)s Fh(\))20 b Fd(\000)e Fe(P)1531 1359 y Fg(c)1519
1413 y(k)1564 1393 y Fh(\()p Fe(\033)s Fh(\)])667 1666
y(=)111 b(lim)815 1715 y Fg(\033)r Ff(!1)1038 1609 y
Fe(\033)p 1011 1647 V 1011 1723 a(A)1073 1735 y Fg(k)1138
1499 y Fc(0)1138 1648 y(@)1211 1499 y(0)1211 1648 y(@)1293
1609 y Fh(1)p 1293 1647 42 4 v 1293 1723 a(2)1363 1666
y Fd(\000)1456 1597 y(\000)p Fe(A)1583 1609 y Fg(k)1624
1597 y Fb(v)1676 1567 y Fg(T)1676 1621 y(k)1728 1597
y Fb(r)1767 1609 y Fg(k)1827 1597 y Fh(+)1910 1535 y
Fc(P)1997 1622 y Fg(j)s Ff(6)p Fa(=)p Fg(k)2134 1597
y Fe(A)2196 1609 y Fg(j)2231 1597 y Fe(b)2267 1609 y
Fg(j)2302 1597 y Fb(v)2353 1567 y Fg(T)2353 1621 y(k)2406
1597 y Fb(r)2445 1609 y Fg(j)p 1456 1647 1024 4 v 1687
1691 a Fd(p)p 1756 1691 92 4 v 69 x Fh(2)p Fe(\031)s(\033)1898
1663 y Fc(q)p 1981 1663 269 4 v 97 x Fb(v)2033 1731 y
Fg(T)2033 1785 y(k)2085 1760 y Fb(Rv)2209 1772 y Fg(k)2490
1499 y Fc(1)2490 1648 y(A)2581 1666 y Fd(\000)2664 1549
y Fc(\022)2735 1609 y Fh(1)p 2735 1647 42 4 v 2735 1723
a(2)2805 1666 y Fd(\000)2898 1597 y(\000)p Fe(A)3025
1609 y Fg(k)3084 1597 y Fh(+)3167 1535 y Fc(P)3255 1622
y Fg(j)s Ff(6)p Fa(=)p Fg(k)3391 1597 y Fe(A)3453 1609
y Fg(j)3489 1597 y Fe(b)3525 1609 y Fg(j)3559 1597 y
Fe(\032)3602 1609 y Fg(ij)p 2898 1647 763 4 v 3174 1663
a Fd(p)p 3243 1663 92 4 v 69 x Fh(2)p Fe(\031)s(\033)3671
1549 y Fc(\023)3732 1499 y(1)3732 1648 y(A)667 2013 y
Fh(=)884 1956 y(1)p 825 1994 161 4 v 825 2010 a Fd(p)p
894 2010 92 4 v 69 x Fh(2)p Fe(\031)1009 1846 y Fc(0)1009
1995 y(@)1092 1944 y Fd(\000)p Fb(v)1208 1914 y Fg(T)1208
1968 y(k)1260 1944 y Fb(r)1300 1956 y Fg(k)1359 1944
y Fh(+)1442 1882 y Fc(P)1530 1969 y Fg(j)s Ff(6)p Fa(=)p
Fg(k)1666 1944 y Fe(A)1728 1956 y Fg(j)1764 1944 y Fe(=)-5
b(A)1863 1956 y Fg(k)1904 1944 y Fe(b)1940 1956 y Fg(j)1974
1944 y Fb(v)2026 1914 y Fg(T)2026 1968 y(k)2078 1944
y Fb(r)2117 1956 y Fg(j)p 1092 1994 1061 4 v 1447 2010
a Fc(q)p 1530 2010 269 4 v 97 x Fb(v)1581 2078 y Fg(T)1581
2132 y(k)1634 2107 y Fb(R)o(v)1757 2119 y Fg(k)2181 2013
y Fh(+)18 b(1)2306 1846 y Fc(1)2306 1995 y(A)667 2325
y Fh(=)825 2267 y(1)f Fd(\000)967 2196 y Fc(p)p 1051
2196 240 4 v 1051 2267 a Fe(\021)1092 2279 y Fg(k)1133
2267 y Fh(\()p Fb(v)1217 2279 y Fg(k)1257 2267 y Fh(\))p
825 2306 466 4 v 977 2322 a Fd(p)p 1046 2322 92 4 v 69
x Fh(2)p Fe(\031)515 2556 y Fh(Line)33 b(2)f(w)n(as)g(obtained)g(using)
g(\(3.54\))g(and)h(the)g(Q-function)g(sumation)f(form)h(of)f
Fe(P)3227 2525 y Fg(o)3215 2579 y(k)3264 2556 y Fh(\()p
Fe(\033)s Fh(\))515 2655 y(and)j Fe(P)749 2625 y Fg(c)737
2679 y(k)782 2655 y Fh(\()p Fe(\033)s Fh(\).)60 b(W)-7
b(e)36 b(assume)e(that)h Fb(v)1663 2667 y Fg(k)1739 2655
y Fh(is)g(the)g(linear)f(transform)g(whic)n(h)h(maximizes)g(the)515
2755 y(asymptotic)27 b(e\016ciency)g(of)h(the)g Fe(k)s
Fh(th)g(user.)36 b(Line)28 b(4)f(is)g(obtained)h(using)f(\(6.4\).)515
2987 y Fi(\(b\))515 3141 y Fh(In)22 b(order)g(for)g(\001)h(=)g(0,)g
Fe(\021)1257 3153 y Fg(k)1298 3141 y Fh(\()p Fb(v)1382
3153 y Fg(k)1423 3141 y Fh(\))g(=)g(1.)34 b(F)-7 b(rom)22
b(\(6.9\),)i(w)n(e)e(see)g(that)h(for)f(the)h(t)n(w)n(o-user)e(c)n
(hannel)515 3240 y(w)n(e)27 b(m)n(ust)h(consider)e(t)n(w)n(o)h(cases:)
515 3456 y Fb(Case)k(1)515 3609 y Fh(If)f Fe(A)662 3621
y Fa(2)699 3609 y Fe(=)-5 b(A)798 3621 y Fa(1)862 3609
y Fe(<)25 b Fd(j)p Fe(\032)p Fd(j)p Fh(,)31 b Fe(\021)1136
3621 y Fa(1)1173 3609 y Fh(\()p Fb(v)1257 3621 y Fa(1)1294
3609 y Fh(\))c(=)f(1)19 b(+)g Fe(A)1651 3579 y Fa(2)1651
3630 y(2)1689 3609 y Fe(=)-5 b(A)1788 3579 y Fa(2)1788
3630 y(1)1845 3609 y Fd(\000)19 b Fh(2)p Fd(j)p Fe(\032)p
Fd(j)p Fe(A)2122 3621 y Fa(2)2159 3609 y Fe(=)-5 b(A)2258
3621 y Fa(1)2295 3609 y Fh(.)43 b(Th)n(us)29 b Fd(j)p
Fe(\032)p Fd(j)d Fh(=)g Fe(A)2841 3621 y Fa(2)2879 3609
y Fe(=)p Fh(2)p Fe(A)3025 3621 y Fa(1)3091 3609 y Fh(but)k(this)515
3709 y(is)d(inconsisten)n(t)g(with)i(the)f(case)e(w)n(e)i(are)e
(considering.)515 3925 y Fb(Case)31 b(2)515 4078 y Fh(Otherwise,)c
Fe(\021)972 4090 y Fa(1)1009 4078 y Fh(\()p Fb(v)1093
4090 y Fa(1)1130 4078 y Fh(\))d(=)e(1)c Fd(\000)g Fe(\032)1459
4048 y Fa(2)1496 4078 y Fh(.)37 b(Th)n(us,)28 b(\001)23
b(=)g(0)k(only)g(when)h Fe(\032)23 b Fh(=)f(0.)1926 5956
y(1)p eop end
userdict /end-hook known{end-hook}if