7.22.rickard.ps

是multiuser detection 这本书的习题解答, 很有用的书.

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E end
TeXDict begin

1 0 bop 1373 872 a Fj(Multiuser)45 b(Detection)1656 1112
y Fi(Scott)33 b(Ric)m(k)-5 b(ard)1685 1307 y(Ma)m(y)34
b(7,)e(1999)515 1639 y Fh(Solution)45 b(to)h(Problem)f(7.22)515
1821 y Fg(W)-7 b(e)28 b(endea)n(v)n(or)d(to)j(sho)n(w,)515
1982 y Ff(\033)565 1952 y Fe(2)602 1982 y Fd(GRG)824
1946 y Fc(T)895 1982 y Fg(+)18 b([)p Fd(GR)g Fb(\000)g
Fd(B)g Fb(\000)g Fd(I)q Fg(])p Fd(A)1550 1946 y Fe(2)1587
1982 y Fg([)p Fd(GR)g Fb(\000)g Fd(B)h Fb(\000)f Fd(I)p
Fg(])2087 1948 y Fc(T)2222 1982 y Fg(=)83 b Ff(\033)2420
1952 y Fe(2)2458 1982 y Fg([)p Fd(B)18 b Fg(+)g Fd(I)p
Fg(]\()p Ff(\033)2791 1952 y Fe(2)2829 1982 y Fd(A)2901
1946 y Fa(\000)p Fe(2)3009 1982 y Fg(+)g Fd(R)p Fg(\))3196
1948 y Fa(\000)p Fe(1)3285 1982 y Fg([)p Fd(B)h Fg(+)f
Fd(I)p Fg(])3537 1948 y Fc(T)2370 2107 y Fg(+\()p Fd(G)g
Fb(\000)2660 2086 y Fg(\026)2643 2107 y Fd(G)p Fg(\)\()p
Fd(R)q(A)2927 2070 y Fe(2)2964 2107 y Fd(R)g Fg(+)g Ff(\033)3187
2077 y Fe(2)3225 2107 y Fd(R)o Fg(\)\()p Fd(G)h Fb(\000)3554
2086 y Fg(\026)3537 2107 y Fd(G)q Fg(\))3645 2073 y Fc(T)3697
2107 y Ff(;)515 2268 y Fg(where,)1445 2347 y(\026)1429
2368 y Fd(G)k Fg(=)f([)p Fd(B)d Fg(+)f Fd(I)p Fg(]\()p
Ff(\033)1948 2338 y Fe(2)1986 2368 y Fd(A)2058 2331 y
Fa(\000)p Fe(2)2166 2368 y Fg(+)g Fd(R)p Fg(\))2353 2334
y Fa(\000)p Fe(1)2442 2368 y Ff(:)515 2504 y Fg(Expanding)26
b(out)i(the)g(second)f(term)g(on)h(the)g(RHS,)515 2666
y(\()p Fd(G)19 b Fb(\000)740 2644 y Fg(\026)724 2666
y Fd(G)p Fg(\)\()p Fd(RA)1007 2629 y Fe(2)1044 2666 y
Fd(R)f Fg(+)g Ff(\033)1267 2636 y Fe(2)1305 2666 y Fd(R)p
Fg(\)\()p Fd(G)h Fb(\000)1634 2644 y Fg(\026)1618 2666
y Fd(G)p Fg(\))1725 2631 y Fc(T)1860 2666 y Fg(=)83 b(\()p
Fd(GRA)2259 2629 y Fe(2)2296 2666 y Fd(R)18 b Fg(+)g
Ff(\033)2519 2636 y Fe(2)2557 2666 y Fd(GR)g Fb(\000)g
Fg([)p Fd(B)h Fg(+)f Fd(I)p Fg(])p Fd(A)3129 2629 y Fe(2)3166
2666 y Fd(R)p Fg(\)\()p Fd(G)h Fb(\000)3496 2644 y Fg(\026)3479
2666 y Fd(G)p Fg(\))3586 2631 y Fc(T)3639 2666 y Ff(;)1860
2790 y Fg(=)83 b(\(\()p Fd(G)q(R)18 b Fb(\000)g Fd(B)g
Fb(\000)g Fd(I)p Fg(\))p Fd(A)2631 2754 y Fe(2)2668 2790
y Fd(R)g Fg(+)g Ff(\033)2891 2760 y Fe(2)2929 2790 y
Fd(GR)o Fg(\)\()p Fd(G)h Fb(\000)3333 2769 y Fg(\026)3316
2790 y Fd(G)q Fg(\))3424 2756 y Fc(T)3476 2790 y Ff(;)1860
2915 y Fg(=)83 b(\()p Fd(GR)18 b Fb(\000)g Fd(B)h Fb(\000)f
Fd(I)p Fg(\))p Fd(A)2598 2878 y Fe(2)2636 2915 y Fd(R)o(G)2782
2878 y Fc(T)2853 2915 y Fg(+)g Ff(\033)2986 2885 y Fe(2)3024
2915 y Fd(GR)o(G)3246 2878 y Fc(T)2008 3039 y Fb(\000)p
Fg(\(\()p Fd(GR)g Fb(\000)g Fd(B)h Fb(\000)f Fd(I)p Fg(\))p
Fd(A)2695 3003 y Fe(2)2733 3039 y Fd(R)g Fg(+)g Ff(\033)2956
3009 y Fe(2)2993 3039 y Fd(GR)p Fg(\)\()p Ff(\033)3254
3009 y Fe(2)3292 3039 y Fd(A)3364 3003 y Fa(\000)p Fe(2)3472
3039 y Fg(+)g Fd(R)p Fg(\))3659 3005 y Fa(\000)p Fc(T)3763
3039 y Fg([)p Fd(B)g Fg(+)h Fd(I)p Fg(])4015 3005 y Fc(T)4067
3039 y Ff(;)515 3201 y Fg(where)27 b(w)n(e)g(ha)n(v)n(e)f(used)i(\(in)g
(the)g(\014rst)f(line\),)1354 3341 y(\026)1337 3362 y
Fd(G)p Fg(\()p Fd(RA)1588 3325 y Fe(2)1625 3362 y Fd(R)19
b Fg(+)f Ff(\033)1849 3332 y Fe(2)1886 3362 y Fd(R)p
Fg(\))23 b(=)g([)p Fd(B)18 b Fg(+)g Fd(I)p Fg(])p Fd(A)2425
3325 y Fe(2)2462 3362 y Fd(R)p Ff(:)515 3523 y Fg(Returning)25
b(to)f(the)i(original)d(equation,)i(w)n(e)f(can)h(cancel)f(the)i
Ff(\033)2508 3493 y Fe(2)2545 3523 y Fd(GRG)2767 3487
y Fc(T)2844 3523 y Fg(term)f(and)g(what)515 3623 y(remains)h(is,)515
3784 y([)p Fd(GR)18 b Fb(\000)g Fd(B)g Fb(\000)g Fd(I)q
Fg(])p Fd(A)1087 3748 y Fe(2)1124 3784 y Fg([)p Fd(GR)g
Fb(\000)g Fd(B)h Fb(\000)f Fd(I)p Fg(])1624 3750 y Fc(T)1759
3784 y Fg(=)83 b Ff(\033)1957 3754 y Fe(2)1994 3784 y
Fg([)p Fd(B)19 b Fg(+)f Fd(I)p Fg(]\()p Ff(\033)2328
3754 y Fe(2)2366 3784 y Fd(A)2438 3748 y Fa(\000)p Fe(2)2546
3784 y Fg(+)g Fd(R)p Fg(\))2733 3750 y Fa(\000)p Fe(1)2822
3784 y Fg([)p Fd(B)g Fg(+)g Fd(I)q Fg(])3074 3750 y Fc(T)3144
3784 y Fg(+)g(\()p Fd(G)q(R)g Fb(\000)g Fd(B)g Fb(\000)g
Fd(I)p Fg(\))p Fd(A)3818 3748 y Fe(2)3855 3784 y Fd(RG)4002
3748 y Fc(T)1907 3909 y Fb(\000)p Fg(\(\()p Fd(GR)g Fb(\000)g
Fd(B)g Fb(\000)g Fd(I)q Fg(\))p Fd(A)2594 3872 y Fe(2)2631
3909 y Fd(R)g Fg(+)g Ff(\033)2854 3878 y Fe(2)2892 3909
y Fd(GR)p Fg(\)\()p Ff(\033)3153 3878 y Fe(2)3191 3909
y Fd(A)3263 3872 y Fa(\000)p Fe(2)3371 3909 y Fg(+)g
Fd(R)o Fg(\))3557 3874 y Fa(\000)p Fc(T)3662 3909 y Fg([)p
Fd(B)g Fg(+)g Fd(I)q Fg(])3914 3874 y Fc(T)3966 3909
y Ff(;)515 4070 y Fg(Ob)n(viously)-7 b(,)32 b(\()p Ff(\033)1009
4040 y Fe(2)1047 4070 y Fd(A)1119 4033 y Fa(\000)p Fe(2)1230
4070 y Fg(+)21 b Fd(R)p Fg(\))1420 4040 y Fa(\000)p Fc(T)1555
4070 y Fg(=)30 b(\()p Ff(\033)1732 4040 y Fe(2)1770 4070
y Fd(A)1842 4033 y Fa(\000)p Fe(2)1953 4070 y Fg(+)21
b Fd(R)p Fg(\))2143 4040 y Fa(\000)p Fe(1)2232 4070 y
Fg(,)34 b(so)e(w)n(e)f(can)h(com)n(bine)g(terms)g(and)515
4169 y(rewrite)27 b(\(the)h(RHS)g(only\))f(as,)515 4331
y(RHS)83 b(=)g(\()p Fd(GR)18 b Fb(\000)g Fd(B)h Fb(\000)f
Fd(I)p Fg(\))p Fd(A)1505 4294 y Fe(2)1543 4331 y Fd(R)o(G)1689
4294 y Fc(T)1760 4331 y Fb(\000)g Fg(\(\()p Fd(G)q(R)g
Fb(\000)g Fd(B)g Fb(\000)g Fd(I)p Fg(\))p Fd(A)2466 4294
y Fe(2)2503 4331 y Fd(R)g Fg(+)g Ff(\033)2726 4301 y
Fe(2)2764 4331 y Fg(\()p Fd(GR)g Fb(\000)g Fd(B)h Fb(\000)f
Fd(I)p Fg(\)\)\()p Ff(\033)3396 4301 y Fe(2)3434 4331
y Fd(A)3507 4294 y Fa(\000)p Fe(2)3614 4331 y Fg(+)g
Fd(R)p Fg(\))3801 4296 y Fa(\000)p Fe(1)3890 4331 y Fg([)p
Fd(B)h Fg(+)f Fd(I)p Fg(])4142 4296 y Fc(T)4194 4331
y Ff(;)767 4455 y Fg(=)83 b(\()p Fd(GR)18 b Fb(\000)g
Fd(B)h Fb(\000)f Fd(I)p Fg(\))p Fd(A)1505 4419 y Fe(2)1543
4455 y Fd(R)o(G)1689 4419 y Fc(T)1760 4455 y Fb(\000)g
Fg(\()p Fd(GR)g Fb(\000)g Fd(B)h Fb(\000)f Fd(I)p Fg(\)\()p
Fd(A)2466 4419 y Fe(2)2503 4455 y Fd(R)g Fg(+)g Ff(\033)2726
4425 y Fe(2)2764 4455 y Fd(I)p Fg(\)\()p Ff(\033)2914
4425 y Fe(2)2952 4455 y Fd(A)3024 4419 y Fa(\000)p Fe(2)3132
4455 y Fg(+)g Fd(R)p Fg(\))3319 4421 y Fa(\000)p Fe(1)3408
4455 y Fg([)p Fd(B)g Fg(+)h Fd(I)p Fg(])3660 4421 y Fc(T)3712
4455 y Ff(;)767 4580 y Fg(=)83 b(\()p Fd(GR)18 b Fb(\000)g
Fd(B)h Fb(\000)f Fd(I)p Fg(\))p Fd(A)1505 4543 y Fe(2)1543
4580 y Fd(R)o(G)1689 4543 y Fc(T)1760 4580 y Fb(\000)g
Fg(\()p Fd(GR)g Fb(\000)g Fd(B)h Fb(\000)f Fd(I)p Fg(\))p
Fd(A)2434 4543 y Fe(2)2471 4580 y Fg([)p Fd(B)g Fg(+)g
Fd(I)p Fg(])2722 4545 y Fc(T)2775 4580 y Ff(;)767 4704
y Fg(=)83 b(\()p Fd(GR)18 b Fb(\000)g Fd(B)h Fb(\000)f
Fd(I)p Fg(\))p Fd(A)1505 4668 y Fe(2)1543 4704 y Fg(\()p
Fd(R)o(G)1722 4668 y Fc(T)1792 4704 y Fb(\000)g Fg([)p
Fd(B)h Fg(+)f Fd(I)p Fg(])2127 4670 y Fc(T)2179 4704
y Fg(\))p Ff(;)767 4829 y Fg(=)83 b([)p Fd(GR)18 b Fb(\000)g
Fd(B)g Fb(\000)g Fd(I)q Fg(])p Fd(A)1487 4792 y Fe(2)1524
4829 y Fg([)p Fd(GR)g Fb(\000)g Fd(B)h Fb(\000)f Fd(I)p
Fg(])2024 4795 y Fc(T)2076 4829 y Ff(:)515 4990 y Fg(The)27
b(relation)g(is)h(pro)n(v)n(en.)1926 5255 y(1)p eop end
userdict /end-hook known{end-hook}if