6.35.huaidai.ps

是multiuser detection 这本书的习题解答, 很有用的书.

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D E end
TeXDict begin

1 0 bop 1146 569 a Fk(ELE533)52 b(Homew)l(ork)f(8)1586
951 y Fj(Huaiyu)40 b(Dai)1567 1269 y Fi(15)e(Apr)h(1999)-186
1723 y Fh(PR)m(OBLEM)g(6.35)d Fg(Consider)f(the)h(adaptiv)m(e)f(linear)
e(MMSE)k(detector)e(for)g(user)h(1)f(in)f(a)h(sync)m(hronous)i
Ff(K)7 b Fg(-)-186 1844 y(user)46 b(c)m(hannel.)80 b(Assume)46
b(that)f(the)g(algorithm)d(is)i(initialized)d(with)j
Ff(s)2549 1859 y Fe(1)2634 1844 y Fg(and)h(that)f(all)f(users)j(emplo)m
(y)e(the)-186 1964 y(same)30 b(training)e(sequence)33
b(sim)m(ultaneously)-8 b(.)41 b(Find)30 b(the)g(linear)f
(transformation)f(to)i(whic)m(h)h(the)f(adaption)f(la)m(w)-186
2084 y(con)m(v)m(erges.)-186 2290 y Fh(Solution:)-186
2497 y Fg(The)34 b(adaption)d(la)m(w)h(for)g(linear)f(MMSE)j(detector)f
(is)876 2711 y Fh(v)935 2726 y Fe(1)974 2711 y Fg([)p
Ff(n)p Fg(])28 b(=)g Fh(v)1277 2726 y Fe(1)1317 2711
y Fg([)p Ff(n)22 b Fd(\000)h Fg(1])f Fd(\000)g Ff(\026)p
Fg(\()p Fh(v)1879 2670 y Fc(T)1877 2736 y Fe(1)1934 2711
y Fg([)p Ff(n)g Fd(\000)h Fg(1])p Fh(r)p Fg([)p Ff(n)p
Fg(])f Fd(\000)h Ff(b)2538 2726 y Fe(1)2578 2711 y Fg([)p
Ff(n)p Fg(]\))p Fh(r)p Fg([)p Ff(n)p Fg(])937 b(\(1\))-186
3011 y(With)34 b(su\016cien)m(t)i(regularit)m(y)-8 b(,)34
b(the)i(adativ)m(e)f(MMSE)h(algorithm)31 b(\(with)k Ff(\026)2563
3026 y Fc(n)2641 3011 y Fg(=)c(1)p Ff(=n)p Fg(\))k(con)m(v)m(erges)i
(regardless)e(of)-186 3132 y(the)e(initialization)27
b(according)32 b(to)g(prop)s(osition)f(6.1:)1080 3346
y(lim)1036 3400 y Fc(n)p Fb(\000)p Fc(>)p Fb(1)1276 3346
y Fh(v)1335 3361 y Fe(1)1374 3346 y Fg([)p Ff(n)p Fg(])1514
3293 y Fe(a)p Fc(:)p Fe(s)p Fc(:)1527 3346 y Fg(=)41
b Ff(E)6 b Fg([)p Fh(r)p Fg([)p Ff(n)p Fg(])p Fh(r)1953
3305 y Fc(T)2008 3346 y Fg([)p Ff(n)p Fg(]])2147 3305
y Fb(\000)p Fe(1)2242 3346 y Ff(E)g Fg([)p Ff(b)2388
3361 y Fe(1)2428 3346 y Fg([)p Ff(n)p Fg(])p Fh(r)p Fg([)p
Ff(n)p Fg(]])1098 b(\(2\))-186 3587 y(In)33 b(this)f(case)846
3756 y Fh(r)p Fg([)p Ff(n)p Fg(])c(=)f Fh(SAb)p Fg([)p
Ff(n)p Fg(])c(+)f Ff(\033)t Fh(m)p Fg([)p Ff(n)p Fg(])28
b(=)f Ff(b)2014 3771 y Fe(1)2054 3756 y Fg([)p Ff(n)p
Fg(])2215 3649 y Fc(K)2187 3673 y Fa(X)2183 3858 y Fc(k)r
Fe(=1)2328 3756 y Ff(A)2401 3771 y Fc(k)2444 3756 y Fh(s)2488
3771 y Fc(k)2553 3756 y Fg(+)22 b Ff(\033)t Fh(m)p Fg([)p
Ff(n)p Fg(])907 b(\(3\))-186 3994 y(So)1113 4164 y Ff(E)6
b Fg([)p Fh(r)p Fg([)p Ff(n)p Fg(])p Fh(r)1422 4123 y
Fc(T)1478 4164 y Fg([)p Ff(n)p Fg(]])28 b(=)f Ff(\033)1807
4123 y Fe(2)1847 4164 y Fh(I)22 b Fg(+)2037 4056 y Fc(K)2009
4081 y Fa(X)2012 4263 y Fc(i)p Fe(=1)2174 4056 y Fc(K)2147
4081 y Fa(X)2145 4263 y Fc(j)t Fe(=1)2284 4164 y Ff(A)2357
4179 y Fc(i)2386 4164 y Ff(A)2459 4179 y Fc(j)2495 4164
y Fh(s)2539 4179 y Fc(i)2568 4164 y Fh(s)2612 4179 y
Fc(j)3823 4164 y Fg(\(4\))-186 4414 y(and)1399 4583 y
Ff(E)6 b Fg([)p Ff(b)1545 4598 y Fe(1)1586 4583 y Fg([)p
Ff(n)p Fg(])p Fh(r)p Fg([)p Ff(n)p Fg(]])28 b(=)2047
4476 y Fc(K)2019 4500 y Fa(X)2014 4685 y Fc(k)r Fe(=1)2160
4583 y Ff(A)2233 4598 y Fc(k)2276 4583 y Fh(s)2320 4598
y Fc(k)3823 4583 y Fg(\(5\))-186 4908 y(The)34 b(linear)c
(transformation)h(to)h(whic)m(h)h(the)g(adaption)f(la)m(w)g(con)m(v)m
(erges)j(is)1166 5191 y([)p Ff(\033)1252 5150 y Fe(2)1292
5191 y Fh(I)21 b Fg(+)1481 5083 y Fc(K)1453 5108 y Fa(X)1456
5291 y Fc(i)p Fe(=1)1619 5083 y Fc(K)1591 5108 y Fa(X)1590
5291 y Fc(j)t Fe(=1)1729 5191 y Ff(A)1802 5206 y Fc(i)1830
5191 y Ff(A)1903 5206 y Fc(j)1940 5191 y Fh(s)1984 5206
y Fc(i)2012 5191 y Fh(s)2056 5206 y Fc(j)2093 5191 y
Fg(])2120 5150 y Fb(\000)p Fe(1)2280 5083 y Fc(K)2252
5108 y Fa(X)2248 5293 y Fc(k)r Fe(=1)2393 5191 y Ff(A)2466
5206 y Fc(k)2509 5191 y Fh(s)2553 5206 y Fc(k)3823 5191
y Fg(\(6\))1857 5655 y(1)p eop end
userdict /end-hook known{end-hook}if