2.34.xma.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 141 -74 a Fk(Problem)35 b(2.34)h(\(Xiao)s(qiang)f(Ma\))141
152 y Fj(\(1\))29 b(De\014ne)f Fi(X)33 b Fj(=)778 116
y Fh(A)831 93 y Fg(2)p 778 131 88 4 v 783 185 a Fh(\033)825
166 y Fg(2)875 152 y Fi(max)p Ff(f)p Fi(R)1170 119 y
Fe(2)1169 175 y(1)1209 152 y Fi(;)15 b(:)g(:)g(:)i(;)e(R)1481
119 y Fe(2)1480 178 y Fh(D)1544 152 y Ff(g)p Fj(,)29
b(and)e(w)m(e)i(calculate)f(the)g(cum)m(ulativ)m(e)f(densit)m(y)g
(function)g(\(cdf)7 b(\))28 b(of)0 265 y Fi(X)38 b Fj(as)30
b(follo)m(ws:)1104 427 y Fi(F)1162 441 y Fh(X)1229 427
y Fj(\()p Fi(x)p Fj(\))84 b(=)f Fi(P)13 b Ff(f)p Fi(X)33
b Ff(\024)25 b Fi(x)p Ff(g)1435 620 y Fj(=)83 b Fi(P)13
b Ff(f)1715 559 y Fi(A)1783 526 y Fe(2)p 1715 599 108
4 v 1721 683 a Fi(\033)1776 656 y Fe(2)1833 620 y Fi(R)1903
583 y Fe(2)1902 643 y(1)1967 620 y Ff(\024)25 b Fi(x;)15
b(:)g(:)g(:)i(;)2327 559 y(A)2395 526 y Fe(2)p 2327 599
V 2333 683 a Fi(\033)2388 656 y Fe(2)2445 620 y Fi(R)2515
583 y Fe(2)2514 643 y Fh(D)2603 620 y Ff(\024)25 b Fi(x)p
Ff(g)1435 875 y Fj(=)1616 769 y Fh(D)1593 794 y Fd(Y)1589
977 y Fh(i)p Fe(=1)1718 875 y Fi(P)13 b Ff(f)1844 814
y Fi(A)1912 781 y Fe(2)p 1844 854 V 1850 938 a Fi(\033)1905
911 y Fe(2)1962 875 y Fi(R)2032 838 y Fe(2)2031 898 y
Fh(i)2097 875 y Ff(\024)25 b Fi(x)p Ff(g)1435 1178 y
Fj(=)1616 1072 y Fh(D)1593 1097 y Fd(Y)1589 1279 y Fh(i)p
Fe(=1)1718 1178 y Fi(P)13 b Ff(f)p Fi(R)1903 1192 y Fh(i)1957
1178 y Ff(\024)2070 1116 y Fi(\033)p 2063 1157 69 4 v
2063 1240 a(A)2141 1108 y Ff(p)p 2217 1108 52 4 v 70
x Fi(x)p Ff(g)1435 1533 y Fj(=)1616 1427 y Fh(D)1593
1452 y Fd(Y)1589 1635 y Fh(i)p Fe(=1)1751 1356 y Fc(\033)p
1747 1368 47 4 v 1747 1409 a(A)1803 1335 y Fb(p)p 1861
1335 40 3 v 1861 1383 a Fh(x)1759 1418 y Fd(Z)1764 1659
y Fe(0)1898 1533 y Fi(r)s(e)1984 1496 y Fb(\000)2049
1468 y Fc(r)2080 1448 y Fg(2)p 2049 1480 66 4 v 2066
1522 a(2)2128 1533 y Fi(dr)1435 1826 y Fj(=)83 b(\(1)21
b Ff(\000)f Fi(e)1823 1781 y Fb(\000)1890 1754 y Fc(\033)1928
1733 y Fg(2)1962 1754 y Fc(x)p 1888 1766 112 4 v 1888
1816 a Fg(2)p Fc(A)1964 1802 y Fg(2)2013 1826 y Fj(\))2048
1788 y Fh(D)2112 1826 y Fi(;)0 1988 y Fj(where)30 b(w)m(e)h(use)f(the)g
(fact)i(that)f Fi(R)1156 2002 y Fe(1)1195 1988 y Fi(;)15
b(:)g(:)g(:)i(;)e(R)1466 2002 y Fh(D)1560 1988 y Fj(are)31
b(indep)s(enden)m(t)d(Ra)m(yleigh)i(distributed)e(random)h(v)-5
b(ariables.)141 2214 y(\(2\)In)41 b(maximal-ratio)e(com)m(bining,)j
(the)e(momen)m(t-generating)i(fuction)d(of)i(the)f(\(amplitude\))f
(signal-to-)0 2326 y(noise)30 b(ratio)g(of)h Fi(z)j Fj(is)c(giv)m(en)g
(b)m(y:)1019 2612 y Fi(E)5 b Fj([)p Fi(e)1158 2519 y
Fb(\000)p Fh(sA)1335 2444 y Fc(D)1317 2461 y Fd(P)1311
2594 y Fc(i)p Fg(=1)1422 2519 y Fh(R)1475 2495 y Fg(2)1475
2542 y Fc(i)1511 2519 y Fh(=)p Fe(\()p Fh(\033)1615 2462
y Fb(p)p 1675 2462 60 3 v 1675 2519 a Fh(D)r Fe(\))1766
2612 y Fj(])84 b(=)2055 2506 y Fh(D)2032 2531 y Fd(Y)2028
2713 y Fh(i)p Fe(=1)2158 2612 y Fi(E)5 b Fj([)p Fi(e)2297
2574 y Fb(\000)p Fh(sAR)2491 2551 y Fg(2)2491 2597 y
Fc(i)2526 2574 y Fh(=)p Fe(\()p Fh(\033)2630 2518 y Fb(p)p
2690 2518 V 2690 2574 a Fh(D)r Fe(\))2782 2612 y Fj(])1875
2935 y(=)2055 2829 y Fh(D)2032 2854 y Fd(Y)2028 3036
y Fh(i)p Fe(=1)2176 2803 y(+)p Fb(1)2179 2820 y Fd(Z)2184
3061 y Fe(0)2298 2935 y Fi(e)2340 2884 y Fb(\000)2405
2857 y Fc(sAr)2511 2836 y Fg(2)p 2405 2869 141 4 v 2406
2920 a Fc(\033)2444 2878 y Fa(p)p 2494 2878 52 3 v 42
x Fc(D)2560 2935 y Fi(r)s(e)2646 2897 y Fb(\000)2711
2870 y Fc(r)2742 2849 y Fg(2)p 2711 2882 66 4 v 2728
2923 a(2)2790 2935 y Fi(dr)1875 3269 y Fj(=)2028 3125
y Fd( )2238 3207 y Fi(\033)2293 3130 y Ff(p)p 2369 3130
78 4 v 77 x Fi(D)p 2104 3248 477 4 v 2104 3342 a Fj(2)p
Fi(sA)20 b Fj(+)g Fi(\033)2426 3265 y Ff(p)p 2502 3265
78 4 v 77 x Fi(D)2590 3125 y Fd(!)2656 3148 y Fh(D)2735
3269 y Fi(:)141 3496 y Fj(\(3\))33 b(In)e(equal-gain)h(com)m(bining,)f
(the)h(momen)m(t-generating)h(fuction)e(of)h(the)g(\(amplitude\))e
(signal-to-noise)0 3609 y(ratio)g(of)h Fi(z)k Fj(is)29
b(giv)m(en)h(b)m(y:)727 3894 y Fi(E)5 b Fj([)p Fi(e)866
3801 y Fb(\000)p Fh(sA)1043 3727 y Fc(D)1025 3743 y Fd(P)1019
3876 y Fc(i)p Fg(=1)1130 3801 y Fh(R)1183 3811 y Fc(i)1209
3801 y Fh(=)p Fe(\()p Fh(\033)1313 3745 y Fb(p)p 1373
3745 60 3 v 1373 3801 a Fh(D)r Fe(\))1465 3894 y Fj(])83
b(=)1754 3788 y Fh(D)1731 3813 y Fd(Y)1727 3996 y Fh(i)p
Fe(=1)1856 3894 y Fi(E)5 b Fj([)p Fi(e)1995 3857 y Fb(\000)p
Fh(sAR)2189 3867 y Fc(i)2216 3857 y Fh(=)p Fe(\()p Fh(\033)2320
3800 y Fb(p)p 2380 3800 V 2380 3857 a Fh(D)r Fe(\))2472
3894 y Fj(])1573 4217 y(=)1754 4111 y Fh(D)1731 4136
y Fd(Y)1727 4319 y Fh(i)p Fe(=1)1875 4086 y(+)p Fb(1)1878
4102 y Fd(Z)1883 4343 y Fe(0)1997 4217 y Fi(e)2039 4167
y Fb(\000)2121 4139 y Fc(sAr)p 2104 4151 139 4 v 2104
4203 a(\033)2142 4160 y Fa(p)p 2191 4160 52 3 v 2191
4203 a Fc(D)2257 4217 y Fi(r)s(e)2343 4180 y Fb(\000)2408
4152 y Fc(r)2439 4132 y Fg(2)p 2408 4164 66 4 v 2425
4206 a(2)2487 4217 y Fi(dr)1573 4529 y Fj(=)1727 4410
y Fd(\022)1788 4529 y Fj(1)21 b Ff(\000)1945 4449 y(p)p
2020 4449 101 4 v 2020 4529 a Fj(2)p Fi(\031)2180 4467
y(sA)p 2131 4508 209 4 v 2131 4602 a(\033)2186 4525 y
Ff(p)p 2262 4525 78 4 v 77 x Fi(D)2350 4529 y(e)2407
4457 y Fc(s)2436 4436 y Fg(2)2470 4457 y Fc(A)2516 4436
y Fg(2)p 2402 4469 154 4 v 2402 4519 a(2)p Fc(\033)2470
4505 y Fg(2)2504 4519 y Fc(D)2570 4529 y Fi(Q)2657 4410
y Fd(\022)2777 4467 y Fi(sA)p 2728 4508 209 4 v 2728
4602 a(\033)2783 4525 y Ff(p)p 2859 4525 78 4 v 77 x
Fi(D)2947 4410 y Fd(\023\023)3069 4430 y Fh(D)3148 4529
y Fi(;)0 4758 y Fj(where)30 b(w)m(e)h(use)f(the)g(Laplace)h(transform)f
(of)g Fi(r)s(e)1652 4725 y Fb(\000)p Fh(r)1741 4702 y
Fg(2)1775 4725 y Fh(=)p Fe(2)1850 4758 y Fj(,)h(whic)m(h)e(is)1082
5013 y Fi(E)5 b Fj([)p Fi(e)1221 4976 y Fb(\000)p Fh(sR)1367
5013 y Fj(])83 b(=)1648 4882 y Fe(+)p Fb(1)1650 4899
y Fd(Z)1656 5140 y Fe(0)1770 5013 y Fi(e)1812 4976 y
Fb(\000)p Fh(sr)1938 5013 y Fi(r)s(e)2024 4976 y Fb(\000)2089
4949 y Fc(r)2120 4928 y Fg(2)p 2088 4961 66 4 v 2106
5002 a(2)2167 5013 y Fi(dr)1927 5364 y Fj(1)p eop
2 1 bop 1475 15 a Fj(=)83 b Fi(e)1671 -23 y Fh(s)1704
-46 y Fg(2)1739 -23 y Fh(=)p Fe(2)1847 -117 y(+)p Fb(1)1850
-100 y Fd(Z)1855 141 y Fe(0)1969 15 y Fi(r)s(e)2055 -23
y Fb(\000)2120 -57 y Fg(\()p Fc(r)r Fg(+)p Fc(s)p Fg(\))2275
-78 y(2)p 2120 -38 189 4 v 2199 3 a(2)2323 15 y Fi(dr)1475
362 y Fj(=)g Fi(e)1671 325 y Fh(s)1704 301 y Fg(2)1739
325 y Fh(=)p Fe(2)1847 231 y(+)p Fb(1)1850 247 y Fd(Z)1856
482 y Fh(s)1954 362 y Fj(\()p Fi(r)23 b Ff(\000)d Fi(s)p
Fj(\))p Fi(e)2264 325 y Fb(\000)2329 298 y Fc(r)2360
277 y Fg(2)p 2329 310 66 4 v 2346 351 a(2)2408 362 y
Fi(dr)1475 703 y Fj(=)83 b(1)21 b Ff(\000)f Fi(se)1871
666 y Fh(s)1904 642 y Fg(2)1938 666 y Fh(=)p Fe(2)2013
624 y Ff(p)p 2088 624 101 4 v 2088 703 a Fj(2)p Fi(\031)2222
572 y Fe(+)p Fb(1)2225 588 y Fd(Z)2232 823 y Fh(s)2420
642 y Fj(1)p 2355 682 177 4 v 2355 699 a Ff(p)p 2430
699 101 4 v 2430 774 a Fj(2)p Fi(\031)2541 703 y(e)2583
666 y Fb(\000)2648 639 y Fc(r)2679 618 y Fg(2)p 2648
651 66 4 v 2665 692 a(2)2727 703 y Fi(dr)1475 957 y Fj(=)83
b(1)21 b Ff(\000)1786 878 y(p)p 1861 878 101 4 v 1861
957 a Fj(2)p Fi(\031)t(se)2047 920 y Fh(s)2080 896 y
Fg(2)2114 920 y Fh(=)p Fe(2)2189 957 y Fi(Q)p Fj(\()p
Fi(s)p Fj(\))p Fi(:)1927 5364 y Fj(2)p eop end
userdict /end-hook known{end-hook}if