📄 7.19.dguo.ps
字号:
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Fc(\023)q(\023)847376 y Fi(;)1046 b Fj(\(1\))128 520 y(where)15 b Fi(y)283504 y Fd(0)281 533 y Fh(2)314 520 y Fj(=)367 500 y Ff(y)384505 y Fe(2)402 500 y Fd(\000)p Ff(\032y)464 505 y Fe(1)p367 510 115 2 v 384 537 a Fh(1)p Fd(\000)p Ff(\032)447528 y Fe(2)502 520 y Fj(is)h(the)f(decorrelator)g(output)g(for)f(user)i(2.)70 614 y(2.)22 b(The)15 b(de\014nition)i(of)e Fi(\015)iFj(is)241 745 y Fi(\015)e Fj(=)e Fg(j)p Fi(\032)p Fg(j)383714 y Fi(A)417 721 y Fh(1)p 383 735 54 2 v 383 776 aFi(A)417 783 y Fh(2)451 745 y Fg(\001)c Fj(1)496 754y Fd(f)p Ff(A)540 759 y Fe(1)557 754 y Ff(>)p Fd(j)pFf(\032)p Fd(j)p Ff(A)648 759 y Fe(2)666 754 y Fd(g)686745 y Fi(:)1207 b Fj(\(2\))128 892 y(And)11 b(the)f(detector)g(ac)o(hiev)o(es)h(optim)o(um)f(asymptotic)g(m)o(ultiuser)h(e\016ciency)h(for)d(all)i Fi(A)1599 899 y Fh(1)1619 892 y Fi(=)m(A)1673899 y Fh(2)1703 892 y Fj(if)g Fg(j)p Fi(\032)p Fg(j)g(\024)1854846 y Fd(p)p 1884 846 18 2 v 1884 874 a Fh(5)o Fd(\000)pFh(1)p 1854 882 93 2 v 1892 908 a(2)1951 892 y Fj(.)14986 y(The)16 b(problem)f(is)h(solv)o(ed)g(in)g(b)q(oth)f(cases)g(in)h(the)g(follo)o(wing.)p 1977 1007 2 895 v 0 1009 19792 v 0 1114 a Fa(\(1.a\))0 1200 y Fj(Assume)e(that)g Fi(\032)eFg(\025)h Fj(0.)19 b(In)c(case)f Fi(\032)f(<)g Fj(0)g(w)o(e)h(can)h(think)g(of)f(that)f(user)h(2)g(tak)o(es)g(the)g(spreading)h(w)o(a)o(v)o(eform)e(of)g Fg(\000)p Fb(s)1930 1207 y Fh(2)0 1256y Fj(and)k(transmits)f Fg(\000)p Fi(b)349 1263 y Fh(2)3851256 y Fj(so)h(that)f(the)h(crosscorrelation)f(is)i Fg(\000)pFi(\032)d(>)g Fj(0.)25 b(The)17 b(decision)h(region)f(for)f(user)h(1)g(remains)0 1313 y(the)e(same.)20 b(Let)15 b Fi(A)3251320 y Fh(1)358 1313 y Fj(=)e Fi(A)440 1320 y Fh(2)4721313 y Fj(=)g Fi(A)p Fj(.)20 b(Then)114 1411 y Fi(\015)14b Fj(=)244 1381 y Fi(\032)p 205 1401 102 2 v 205 1443a Fj(1)c(+)h Fi(\032)312 1411 y(:)1567 b Fj(\(3\))0 1524y(The)15 b(decision)i(b)q(oundary)f(is)g(determined)g(b)o(y)f(the)h(solution)g(to)114 1641 y Fi(y)136 1648 y Fh(1)166 1641y Fg(\000)10 b Fi(\032Af)291 1648 y Ff(\015)321 1577y Fc(\022)359 1610 y Fi(y)383 1593 y Fd(0)381 1622 yFh(2)p 359 1630 43 2 v 363 1672 a Fi(A)406 1577 y Fc(\023)4521641 y Fj(=)j(0)p Fi(;)1356 b Fj(\(4\))0 1756 y(i.e.,)1141922 y Fi(y)136 1929 y Fh(1)168 1922 y Fj(=)216 1815y Fc(8)216 1856 y(>)216 1870 y(<)216 1951 y(>)216 1965y(:)257 1854 y Fi(\032A)181 b Fj(if)16 b Fi(y)562 1837y Fd(0)560 1866 y Fh(2)593 1854 y Fi(>)668 1833 y Ff(\032)p646 1843 64 2 v 646 1869 a Fh(1+)p Ff(\032)714 1854 yFi(A;)257 1923 y Fj(\(1)9 b(+)i Fi(\032)p Fj(\))p Fi(y)4191907 y Fd(0)417 1935 y Fh(2)496 1923 y Fj(if)16 b Fg(j)pFi(y)575 1907 y Fd(0)573 1935 y Fh(2)593 1923 y Fg(j)c(\024)6931903 y Ff(\032)p 671 1913 V 671 1939 a Fh(1+)p Ff(\032)7391923 y Fi(A;)257 1993 y Fg(\000)p Fi(\032A)146 b Fj(if)16b Fi(y)562 1976 y Fd(0)560 2005 y Fh(2)593 1993 y Fi(<)dFg(\000)704 1972 y Ff(\032)p 681 1982 V 681 2008 a Fh(1+)pFf(\032)749 1993 y Fi(A:)1892 1922 y Fj(\(5\))0 2088y(This)h(curv)o(e)g(divides)h(the)e(2)g(dimensional)j(plane)e(in)o(to)g(t)o(w)o(o)e(regions)h(that)g(corresp)q(ond)h(to)e(the)i(t)o(w)o(o)e(h)o(yp)q(otheses.)0 2144 y(It)j(is)h(sho)o(wn)f(in)h(Figure)g(1.)k(The)c(turning)f(p)q(oin)o(ts)h(of)f(the)g(curv)o(e)h(are)f(at)gFi(y)1284 2151 y Fh(1)1317 2144 y Fj(=)e Fg(\006)p Fi(\032A)i⌨️ 快捷键说明
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