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📄 4.7.rickard.ps

📁 是multiuser detection 这本书的习题解答, 很有用的书.
💻 PS
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E endTeXDict begin1 0 bop 1373 289 a Fi(Multiuser)45 b(Detection)1656 530y Fh(Scott)33 b(Ric)m(k)-5 b(ard)1619 725 y(Marc)m(h)33b(10,)g(1999)515 1083 y Fg(Solution)45 b(to)h(Problem)f(4.07)5151264 y Ff(Let's)18 b(compare)f(the)i(max)o Fe(h)p Fd(y)s(;)14b(A)1496 1276 y Fc(1)1534 1264 y Fd(b)1570 1276 y Fc(1)16071264 y Fd(s)1646 1276 y Fc(1)1683 1264 y Ff(+)p Fd(A)18101276 y Fc(2)1847 1264 y Fd(b)1883 1276 y Fc(2)1920 1264y Fd(s)1959 1276 y Fc(2)1996 1264 y Fe(i)19 b Ff(detector)f(with)g(the)h(maxim)n(um-lik)n(eliho)r(o)r(d)515 1364 y(detector.)36b(The)28 b(ML)f(detector)h(maximizes)f(\(using)g(Equation)g(4.4\),)12761495 y Fb(Z)1359 1516 y Fa(T)1322 1684 y Fc(0)1411 1608y Ff([)p Fd(y)s Ff(\()p Fd(t)p Ff(\))19 b Fe(\000)f Fd(A)17361620 y Fc(1)1773 1608 y Fd(b)1809 1620 y Fc(1)1846 1608y Fd(s)1885 1620 y Fc(1)1922 1608 y Ff(\()p Fd(t)p Ff(\))hFe(\000)f Fd(A)2180 1620 y Fc(2)2218 1608 y Fd(b)22541620 y Fc(2)2291 1608 y Fd(s)2330 1620 y Fc(2)2367 1608y Ff(\()p Fd(t)p Ff(\)])2484 1574 y Fc(2)2522 1608 yFd(dt;)515 1838 y Ff(whic)n(h,)27 b(when)h(expanded)f(out)h(and)f(terms)g(not)g(dep)r(ending)h(on)f(\()p Fd(b)2632 1850y Fc(1)2670 1838 y Fd(;)14 b(b)2743 1850 y Fc(2)27791838 y Ff(\))28 b(are)f(eliminated,)515 1937 y(b)r(ecomes,)10841981 y Fb(Z)1167 2001 y Fa(T)1130 2169 y Fc(0)1233 2094y Fd(y)s Ff(\()p Fd(t)p Ff(\)\()p Fd(A)1465 2106 y Fc(1)15042094 y Fd(b)1540 2106 y Fc(1)1576 2094 y Fd(s)1615 2106y Fc(1)1653 2094 y Ff(\()p Fd(t)p Ff(\))19 b(+)f Fd(A)19112106 y Fc(2)1948 2094 y Fd(b)1984 2106 y Fc(2)2021 2094y Fd(s)2060 2106 y Fc(2)2097 2094 y Ff(\()p Fd(t)p Ff(\)\))pFd(dt)i Fe(\000)e Fd(A)2461 2106 y Fc(1)2498 2094 y Fd(A)25602106 y Fc(2)2598 2094 y Fd(b)2634 2106 y Fc(1)2671 2094y Fd(b)2707 2106 y Fc(2)2743 2094 y Fd(\032:)515 2290y Ff(The)27 b(max)p Fe(h)p Fd(y)s(;)14 b(A)1015 2302y Fc(1)1052 2290 y Fd(b)1088 2302 y Fc(1)1125 2290 yFd(s)1164 2302 y Fc(1)1220 2290 y Ff(+)k Fd(A)1365 2302y Fc(2)1402 2290 y Fd(b)1438 2302 y Fc(2)1475 2290 yFd(s)1514 2302 y Fc(2)1551 2290 y Fe(i)28 b Ff(detector)f(maximizes,)1329 2421 y Fb(Z)1412 2442 y Fa(T)1375 2610 y Fc(0)14782534 y Fd(y)s Ff(\()p Fd(t)p Ff(\)\()p Fd(A)1710 2546y Fc(1)1748 2534 y Fd(b)1784 2546 y Fc(1)1821 2534 yFd(s)1860 2546 y Fc(1)1897 2534 y Ff(\()p Fd(t)p Ff(\))19b(+)f Fd(A)2155 2546 y Fc(2)2193 2534 y Fd(b)2229 2546y Fc(2)2266 2534 y Fd(s)2305 2546 y Fc(2)2342 2534 yFf(\()p Fd(t)p Ff(\)\))p Fd(dt:)515 2759 y Ff(Clearly)36b(the)h(di\013erence)g(is)g(in)g(the)g(presence)f(of)h(the)gFe(\000)p Fd(A)2422 2771 y Fc(1)2459 2759 y Fd(A)25212771 y Fc(2)2559 2759 y Fd(b)2595 2771 y Fc(1)2632 2759y Fd(b)2668 2771 y Fc(2)2705 2759 y Fd(\032)g Ff(term)g(in)g(the)g(ML)515 2858 y(detector.)f(The)28 b(max)o Fe(h)p Fd(y)s(;)14b(A)1370 2870 y Fc(1)1408 2858 y Fd(b)1444 2870 y Fc(1)14812858 y Fd(s)1520 2870 y Fc(1)1575 2858 y Ff(+)k Fd(A)17202870 y Fc(2)1758 2858 y Fd(b)1794 2870 y Fc(2)1831 2858y Fd(s)1870 2870 y Fc(2)1907 2858 y Fe(i)28 b Ff(detector)f(maximizes,)1634 3041 y Fd(b)1670 3053 y Fc(1)1707 3041 y Fd(A)17693053 y Fc(1)1807 3041 y Fd(y)1848 3053 y Fc(1)1903 3041y Ff(+)18 b Fd(b)2022 3053 y Fc(2)2059 3041 y Fd(A)21213053 y Fc(2)2158 3041 y Fd(y)2199 3053 y Fc(2)2236 3041y Fd(;)515 3224 y Ff(and)27 b(th)n(us)h(has)f(decision)g(regions)f(along)g(the)i(axis)f(\(in)h(Figures)f(4.1)g(and)g(4.2\).)19265506 y(1)p eop enduserdict /end-hook known{end-hook}if

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