6.41.rickard.ps

是multiuser detection 这本书的习题解答, 很有用的书.

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E end
TeXDict begin

1 0 bop 1373 439 a Fj(Multiuser)45 b(Detection)1656 680
y Fi(Scott)33 b(Ric)m(k)-5 b(ard)1645 875 y(April)31
b(23,)h(1999)515 1233 y Fh(Solution)45 b(to)h(Problem)f(6.41)935
1558 y Fg(h)p Ff(y)s(;)14 b(s)1087 1570 y Fe(1)1142 1558
y Fd(+)k Ff(\013x)1325 1570 y Fe(1)1364 1558 y Fg(i)23
b Fd(=)f Ff(A)1568 1570 y Fe(1)1606 1558 y Ff(b)1642
1570 y Fe(1)1697 1558 y Fd(+)1811 1454 y Fc(K)1781 1479
y Fb(X)1780 1658 y Fc(k)q Fe(=2)1915 1558 y Ff(A)1977
1570 y Fc(k)2018 1558 y Ff(b)2054 1570 y Fc(k)2095 1558
y Fd(\()p Ff(\032)2170 1570 y Fe(1)p Fc(k)2262 1558 y
Fd(+)c Ff(\013)p Fg(h)p Ff(s)2469 1570 y Fc(k)2511 1558
y Ff(;)c(x)2595 1570 y Fe(1)2632 1558 y Fg(i)p Fd(\))19
b(+)f Ff(\033)7 b Fd(~)-46 b Ff(n)2898 1570 y Fe(1)2936
1558 y Ff(;)515 1825 y Fd(where)31 b(~)-46 b Ff(n)805
1837 y Fe(1)865 1825 y Fg(\030)23 b Ff(\021)s Fd(\(0)p
Ff(;)14 b Fd(1)j(+)h Ff(\013)1303 1795 y Fe(2)1341 1825
y Fg(k)p Ff(x)1430 1837 y Fe(1)1467 1825 y Fg(k)1509
1795 y Fe(2)1546 1825 y Fd(\))23 b(=)g Ff(\021)s Fd(\(0)p
Ff(;)14 b Fd(1)k(+)g Ff(\013)2040 1795 y Fe(2)2078 1825
y Fd(\).)37 b(The)28 b(SIR)f(is)h(then,)1897 2005 y Ff(A)1959
1975 y Fe(2)1959 2025 y(1)p 1219 2042 1457 4 v 1219 2133
a Ff(\033)1269 2109 y Fe(2)1306 2133 y Fd(\(1)19 b(+)f
Ff(\013)1535 2109 y Fe(2)1572 2133 y Fd(\))h(+)1706 2071
y Fb(P)1794 2091 y Fc(K)1794 2158 y(k)q Fe(=2)1932 2133
y Ff(A)1994 2105 y Fe(2)1994 2158 y Fc(k)2036 2133 y
Fd(\()p Ff(\032)2111 2145 y Fe(1)p Fc(k)2203 2133 y Fd(+)f
Ff(\013)p Fg(h)p Ff(s)2410 2145 y Fc(k)2452 2133 y Ff(;)c(x)2536
2145 y Fe(1)2573 2133 y Fg(i)p Fd(\))2637 2109 y Fe(2)515
2307 y Fd(Our)19 b(goal)g(is)h(to)g(\014nd)g Ff(\013)1227
2277 y Fa(\003)1286 2307 y Fd(whic)n(h)g(maximizes)g(the)g(SIR,)h(th)n
(us)f(w)n(e)f(\014nd)i Ff(\013)2730 2277 y Fa(\003)2789
2307 y Fd(whic)n(h)f(minimizes)515 2407 y Ff(f)9 b Fd(\()p
Ff(\013)p Fd(\))32 b(=)f Ff(\033)860 2377 y Fe(2)898
2407 y Fd(\(1)22 b(+)f Ff(\013)1133 2377 y Fe(2)1171
2407 y Fd(\))h(+)1311 2345 y Fb(P)1399 2365 y Fc(K)1399
2432 y(k)q Fe(=2)1538 2407 y Ff(A)1600 2377 y Fe(2)1600
2430 y Fc(k)1641 2407 y Ff(b)1677 2419 y Fc(k)1717 2407
y Fd(\()p Ff(\032)1792 2419 y Fe(1)p Fc(k)1888 2407 y
Fd(+)g Ff(\013)p Fg(h)p Ff(s)2099 2419 y Fc(k)2140 2407
y Ff(;)14 b(x)2224 2419 y Fe(1)2262 2407 y Fg(i)p Fd(\))2326
2377 y Fe(2)2364 2407 y Fd(.)52 b(Computing)33 b(the)g(deriv)-5
b(ativ)n(e)515 2506 y(and)27 b(setting)h(to)f(zero,)893
2766 y Ff(f)943 2731 y Fa(0)966 2766 y Fd(\()p Ff(\013)p
Fd(\))84 b(=)f(2)p Ff(\013\033)1460 2731 y Fe(2)1516
2766 y Fd(+)1629 2662 y Fc(K)1599 2687 y Fb(X)1599 2866
y Fc(k)q Fe(=2)1734 2766 y Ff(A)1796 2731 y Fe(2)1796
2786 y Fc(k)1837 2766 y Fd(\(2)p Ff(\032)1954 2778 y
Fe(1)p Fc(k)2027 2766 y Fg(h)p Ff(s)2098 2778 y Fc(k)2139
2766 y Ff(;)14 b(x)2223 2778 y Fe(1)2261 2766 y Fg(i)19
b Fd(+)f(2)p Ff(\013)p Fg(h)p Ff(s)2561 2778 y Fc(k)2602
2766 y Ff(;)c(x)2686 2778 y Fe(1)2723 2766 y Fg(i)2755
2731 y Fe(2)2793 2766 y Fd(\))23 b(=)g(0)p Ff(;)515 3023
y Fd(and)k(solving)g(for)g Ff(\013)p Fd(,)1360 3269 y
Ff(\013)1413 3235 y Fa(\003)1535 3269 y Fd(=)1708 3212
y Fg(\000)1787 3149 y Fb(P)1874 3170 y Fc(K)1874 3237
y(k)q Fe(=2)1999 3212 y Fg(h)p Ff(s)2070 3224 y Fc(k)2111
3212 y Ff(;)14 b(x)2195 3224 y Fe(1)2233 3212 y Fg(i)p
Ff(A)2327 3182 y Fe(2)2327 3235 y Fc(k)2368 3212 y Ff(\032)2411
3224 y Fe(1)p Fc(k)p 1692 3250 808 4 v 1692 3341 a Ff(\033)1742
3317 y Fe(2)1799 3341 y Fd(+)1882 3279 y Fb(P)1969 3300
y Fc(K)1969 3366 y(k)q Fe(=2)2094 3341 y Fg(h)p Ff(s)2165
3353 y Fc(k)2206 3341 y Ff(;)g(x)2290 3353 y Fe(1)2328
3341 y Fg(i)2360 3317 y Fe(2)2397 3341 y Ff(A)2459 3313
y Fe(2)2459 3366 y Fc(k)2510 3269 y Ff(:)515 3520 y Fd(W)-7
b(e)36 b(kno)n(w)f(this)h(c)n(hoice)f(minimizes)h Ff(f)9
b Fd(\()p Ff(\013)p Fd(\))36 b(\(and)g(th)n(us)g(maximizes)f(the)h
(SIR\))g(b)r(ecause,)515 3630 y Ff(f)565 3600 y Fa(00)607
3630 y Fd(\()p Ff(\013)p Fd(\))24 b(=)e(2)p Ff(\033)927
3600 y Fe(2)983 3630 y Fd(+)1066 3568 y Fb(P)1154 3589
y Fc(K)1154 3655 y(k)q Fe(=2)1292 3630 y Fd(2)p Fg(h)p
Ff(s)1405 3642 y Fc(k)1446 3630 y Ff(;)14 b(x)1530 3642
y Fe(1)1568 3630 y Fg(i)1600 3600 y Fe(2)1637 3630 y
Ff(A)1699 3600 y Fe(2)1699 3654 y Fc(k)1763 3630 y Ff(>)23
b Fd(0.)1926 5956 y(1)p eop end
userdict /end-hook known{end-hook}if