3.42.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 Fh(Problem)35 b(3.42)h(\(Xiao)s(qiang)f(Ma\))141
152 y Fg(F)-8 b(or)31 b(the)g(carrier)e(mo)s(dulated)g(case,)j(the)f
(signiture)d(corosscorrelations)j(can)f(b)s(e)g(represen)m(ted)h(b)m(y)
1457 356 y(\026)-83 b Ff(\032)1466 371 y Fe(k)r(j)1566
356 y Fg(=)25 b Ff(\032)1709 371 y Fe(k)r(j)1799 356
y Fg(cos)q(\()p Ff(\036)2010 371 y Fe(k)2073 356 y Fd(\000)20
b Ff(\036)2218 370 y Fe(j)2255 356 y Fg(\))p Ff(;)1469
b Fg(\(1\))0 560 y(where)30 b Ff(\032)310 575 y Fe(k)r(j)415
560 y Fg(are)h(the)g(crosscorrelations)f(without)f(carrier)h(mo)s
(dulation)e(in)h(sync)m(hronous)g(systems.)0 673 y(Then,)h(if)f(w)m(e)i
(c)m(ho)s(ose)g(an)f(arbitrary)g Ff(\025)25 b(>)g Fg(0)31
b(and)e(w)m(e)i(denote)g(the)g(unit)e(step)h(function)f(b)m(y)h
Ff(u)p Fg(\()p Ff(t)p Fg(\),)h(w)m(e)g(can)g(write)728
968 y Ff(P)799 930 y Fe(c)786 990 y(k)916 968 y Fd(\024)83
b Ff(E)1158 799 y Fc(2)1158 948 y(4)1213 968 y Ff(u)1280
799 y Fc(0)1280 948 y(@)1353 968 y Ff(n)1408 983 y Fe(k)1470
968 y Fd(\000)20 b Ff(A)1629 983 y Fe(k)1692 968 y Fg(+)1786
887 y Fc(X)1783 1071 y Fe(j)t Fb(6)p Fa(=)p Fe(k)1924
968 y Ff(A)1992 982 y Fe(j)2067 968 y Fg(\026)-83 b Ff(\032)2076
983 y Fe(k)r(j)2151 968 y Ff(b)2190 982 y Fe(j)2226 799
y Fc(1)2226 948 y(A)2299 799 y(3)2299 948 y(5)3784 968
y Fg(\(2\))916 1300 y Fd(\024)83 b Ff(E)1158 1131 y Fc(2)1158
1280 y(4)1213 1300 y Ff(exp)1368 1131 y Fc(0)1368 1280
y(@)1441 1300 y Ff(\025n)1549 1315 y Fe(k)1611 1300 y
Fd(\000)20 b Ff(\025A)1823 1315 y Fe(k)1886 1300 y Fg(+)1980
1219 y Fc(X)1977 1404 y Fe(j)t Fb(6)p Fa(=)p Fe(k)2118
1300 y Ff(\025A)2239 1314 y Fe(j)2314 1300 y Fg(\026)-83
b Ff(\032)2323 1315 y Fe(k)r(j)2398 1300 y Ff(b)2437
1314 y Fe(j)2473 1131 y Fc(1)2473 1280 y(A)2546 1131
y(3)2546 1280 y(5)3784 1300 y Fg(\(3\))916 1549 y Fd(\024)83
b Ff(exp)p Fg(\()p Fd(\000)p Ff(\025A)1437 1564 y Fe(k)1480
1549 y Fg(\))p Ff(E)5 b Fg([)p Ff(exp)p Fg(\()p Ff(\025n)1895
1564 y Fe(k)1939 1549 y Fg(\)])2024 1468 y Fc(Y)2014
1653 y Fe(j)t Fb(6)p Fa(=)p Fe(k)2155 1549 y Ff(E)g Fg([)p
Ff(exp)p Fg(\()p Ff(\025A)2548 1563 y Fe(j)2624 1549
y Fg(\026)-83 b Ff(\032)2633 1564 y Fe(k)r(j)2708 1549
y Ff(b)2747 1563 y Fe(j)2784 1549 y Fg(\)])940 b(\(4\))916
1854 y(=)83 b Ff(exp)1225 1710 y Fc( )1301 1793 y Ff(\025)1354
1760 y Fa(2)1393 1793 y Ff(\033)1448 1760 y Fa(2)p 1301
1833 188 4 v 1372 1917 a Fg(2)1518 1854 y Fd(\000)20
b Ff(\025A)1730 1869 y Fe(k)1773 1710 y Fc(!)1864 1773
y(Y)1854 1958 y Fe(j)t Fb(6)p Fa(=)p Fe(k)1995 1854 y
Ff(E)5 b Fg([)p Ff(cosh)p Fg(\()p Ff(\025A)2426 1868
y Fe(j)2502 1854 y Fg(\026)-83 b Ff(\032)2511 1869 y
Fe(k)r(j)2586 1854 y Fg(\)])1138 b(\(5\))916 2160 y(=)83
b Ff(exp)1225 2016 y Fc( )1301 2098 y Ff(\025)1354 2065
y Fa(2)1393 2098 y Ff(\033)1448 2065 y Fa(2)p 1301 2139
V 1372 2222 a Fg(2)1518 2160 y Fd(\000)20 b Ff(\025A)1730
2175 y Fe(k)1773 2016 y Fc(!)1864 2079 y(Y)1854 2263
y Fe(j)t Fb(6)p Fa(=)p Fe(k)2005 2098 y Fg(1)p 2005 2139
46 4 v 2005 2222 a(2)2060 2160 y(\()p Ff(I)2135 2174
y Fa(0)2175 2160 y Fg(\()p Ff(\025A)2331 2174 y Fe(j)2368
2160 y Ff(\032)2415 2175 y Fe(k)r(j)2490 2160 y Fg(\))h(+)e
Ff(I)2676 2174 y Fa(0)2716 2160 y Fg(\()p Fd(\000)p Ff(\025A)2943
2174 y Fe(j)2980 2160 y Ff(\032)3027 2175 y Fe(k)r(j)3102
2160 y Fg(\)\))612 b(\(6\))916 2467 y Fd(\024)83 b Ff(exp)1225
2323 y Fc( )1301 2406 y Ff(\025)1354 2373 y Fa(2)1393
2406 y Ff(\033)1448 2373 y Fa(2)p 1301 2446 188 4 v 1372
2530 a Fg(2)1518 2467 y Fd(\000)20 b Ff(\025A)1730 2482
y Fe(k)1773 2323 y Fc(!)1864 2386 y(Y)1854 2571 y Fe(j)t
Fb(6)p Fa(=)p Fe(k)1995 2467 y Ff(exp)2150 2323 y Fc( )2226
2393 y Ff(\025)2279 2360 y Fa(2)2318 2393 y Ff(A)2386
2360 y Fa(2)2386 2418 y Fe(j)2426 2393 y Ff(\032)2473
2360 y Fa(2)2473 2420 y Fe(k)r(j)p 2226 2446 323 4 v
2364 2530 a Fg(4)2558 2323 y Fc(!)3784 2467 y Fg(\(7\))916
2797 y(=)83 b Ff(exp)1225 2629 y Fc(0)1225 2778 y(@)1308
2736 y Ff(\025)1361 2703 y Fa(2)p 1308 2776 93 4 v 1331
2860 a Fg(2)1425 2629 y Fc(0)1425 2778 y(@)1498 2797
y Ff(\033)1553 2760 y Fa(2)1613 2797 y Fg(+)1714 2736
y(1)p 1714 2776 46 4 v 1714 2860 a(2)1787 2717 y Fc(X)1784
2901 y Fe(j)t Fb(6)p Fa(=)p Fe(k)1925 2797 y Ff(\025)1978
2760 y Fa(2)2018 2797 y Ff(A)2086 2760 y Fa(2)2086 2820
y Fe(j)2125 2797 y Ff(\032)2172 2760 y Fa(2)2172 2820
y Fe(k)r(j)2247 2629 y Fc(1)2247 2778 y(A)2340 2797 y
Fd(\000)20 b Ff(\025A)2552 2812 y Fe(k)2595 2629 y Fc(1)2595
2778 y(A)3784 2797 y Fg(\(8\))916 3105 y Fd(\024)83 b
Ff(exp)1225 2961 y Fc( )1291 3105 y Fd(\000)1673 3043
y Ff(A)1741 3010 y Fa(2)1741 3070 y Fe(k)p 1372 3084
714 4 v 1372 3168 a Fg(2)p Ff(\033)1472 3141 y Fa(2)1532
3168 y Fg(+)1623 3103 y Fc(P)1710 3191 y Fe(j)t Fb(6)p
Fa(=)p Fe(k)1856 3168 y Ff(A)1924 3136 y Fa(2)1924 3193
y Fe(j)1963 3168 y Ff(\032)2010 3136 y Fa(2)2010 3196
y Fe(k)r(j)2095 2961 y Fc(!)3784 3105 y Fg(\(9\))0 3376
y(where)30 b(Eq.\(3\),)i(\(6\))f(and)f(\(7\))h(follo)m(w)f(from)1632
3581 y Ff(u)p Fg(\()p Ff(t)p Fg(\))83 b Fd(\024)g Ff(exp)p
Fg(\()p Ff(\025t)p Fg(\))p Ff(;)15 b(\025)26 b(>)f Fg(0)p
Ff(;)1133 b Fg(\(10\))1279 3718 y Ff(E)5 b Fg([)p Ff(exp)p
Fg(\()p Ff(\025)39 b Fg(\026)-84 b Ff(\032)1651 3733
y Fe(k)r(j)1727 3718 y Fg(\)])83 b(=)g Ff(I)2064 3732
y Fa(0)2104 3718 y Fg(\()p Ff(\025\032)2239 3733 y Fe(k)r(j)2314
3718 y Fg(\))p Ff(;)1364 b Fg(\(11\))1585 3927 y Ff(I)1625
3941 y Fa(0)1665 3927 y Fg(\()p Ff(x)p Fg(\))83 b Ff(<)g(exp)2179
3783 y Fc( )2255 3865 y Ff(x)2307 3832 y Fa(2)p 2255
3906 92 4 v 2278 3989 a Fg(4)2356 3783 y Fc(!)2437 3927
y Ff(;)1276 b Fg(\(12\))0 4191 y(resp)s(ectiv)m(ely)-8
b(.)1927 5364 y(1)p eop end
userdict /end-hook known{end-hook}if