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来自「是multiuser detection 这本书的习题解答, 很有用的书.」· PS 代码 · 共 500 行 · 第 1/3 页

PS
500
字号
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Fg(Sho)m(w)g(that)f(under)h(the)g(random)e(sequence)k(mo)s(del,)e Ff(F)2779 1745 y Fe(11)28941730 y Fg(con)m(v)m(erges)h(in)e(mean)g(sqare)-186 1850y(sense)34 b(to)184 1775 y Fd(p)p 267 1775 232 4 v 75x Fg(1)22 b Fd(\000)g Ff(\014)6 b Fg(,)32 b(where)15862015 y Ff(\014)h Fg(=)82 b(lim)1778 2074 y Fc(K)5 b Fb(\000)pFc(>)p Fb(1)2049 1947 y Ff(K)p 2049 1991 91 4 v 20502083 a(N)2149 2015 y(:)-186 2306 y Fh(Solution:)-1862512 y Fg(It)39 b(w)m(as)g(sho)m(wn)h(in)e(\(4.111\))f(that)h(if)gFf(\014)43 b(<)38 b Fg(1,)h(then)h(the)f(optim)m(um)d(near-far)i(resistence)i(con)m(v)m(erges)h(in)c(mean)-186 2633 y(square)d(sense)g(to)e(1)22 b Fd(\000)h Ff(\014)6 b Fg(.)-186 2839 y(Also,)32b(w)m(e)i(kno)m(w)f(that)g(decorrelator)f(ac)m(hiev)m(es)i(the)f(optim)m(um)e(near-far)g(resistence)j(and)1692 3098 y(\026)-56b Ff(\021)1737 3057 y Fc(d)1733 3123 y Fe(1)1805 3098y Fg(=)1968 3031 y(1)p 1918 3075 149 4 v 1918 3166 aFf(R)1993 3125 y Fe(+)1992 3188 y(11)-186 3377 y Fg(With)32b(Cholesky)i(decomp)s(osition)d Fh(R)c Fg(=)g Fh(F)14113341 y Fc(T)1467 3377 y Fh(F)p Fg(,)33 b(w)m(e)h(ha)m(v)m(e)16483598 y Ff(F)1725 3556 y Fe(2)1711 3622 y(11)1785 3598y Ff(R)1860 3556 y Fe(+)1859 3622 y(11)1962 3598 y Fg(=)28b(1)-186 3903 y(So)k(w)m(e)i(ha)m(v)m(e)1555 4024 y(lim)15004083 y Fc(K)5 b Fb(\000)p Fc(>)p Fb(1)1761 4024 y Ff(F)18383983 y Fe(2)1824 4048 y(11)1927 4024 y Fg(=)27 b(1)22b Fd(\000)h Ff(\014)-186 4315 y Fg(Notice)32 b(that)3554659 y(\()p Ff(F)456 4674 y Fe(11)553 4659 y Fd(\000)6534554 y Fa(q)p 736 4554 232 4 v 105 x Fg(1)22 b Fd(\000)gFf(\014)6 b Fg(\))1005 4618 y Fe(2)1072 4659 y Fd(\024)11874592 y Fg(\()p Ff(F)1288 4607 y Fe(11)1385 4592 y Fg(+)14834517 y Fd(p)p 1566 4517 V 75 x Fg(1)22 b Fd(\000)h Ff(\014)5b Fg(\))1835 4556 y Fe(2)p 1187 4636 688 4 v 1415 4728a Fg(1)22 b Fd(\000)h Ff(\014)1885 4659 y Fg(\()p Ff(F)19864674 y Fe(11)2082 4659 y Fd(\000)2182 4554 y Fa(q)p 22654554 232 4 v 105 x Fg(1)f Fd(\000)h Ff(\014)5 b Fg(\))25344618 y Fe(2)2601 4659 y Fg(=)2715 4592 y(\()p Ff(F)28304556 y Fe(2)2816 4616 y(11)2913 4592 y Fd(\000)22 b Fg(\(1)gFd(\000)h Ff(\014)6 b Fg(\)\))3358 4556 y Fe(2)p 27154636 682 4 v 2940 4728 a Fg(1)22 b Fd(\000)h Ff(\014)-1865023 y Fg(W)-8 b(e)33 b(can)g(conclude)g(that)f Ff(F)8365038 y Fe(11)944 5023 y Fg(con)m(v)m(erges)i(in)e(mean)g(sqare)i(sense)g(to)2376 4949 y Fd(p)p 2460 4949 232 4 v 2460 5023 aFg(1)21 b Fd(\000)i Ff(\014)6 b Fg(.)1857 5655 y(1)peop enduserdict /end-hook known{end-hook}if

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