4.42.kishore.ps

是multiuser detection 这本书的习题解答, 很有用的书.

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1 0 bop 257 262 a Fj(Solution)11 b(to)i(4.42)h(b)o(y)f(Shalinee)e
(Kishore)h(4/2/99)41 b Fi(F)m(rom)10 b(\(4.91\),)h(w)o(e)i(kno)o(w)e
(that)701 353 y Fh(\021)722 359 y Fg(1)752 353 y Fi(=)115
b(min)796 382 y Ff(\017)p Fe(2f\000)p Fg(1)p Ff(;)p Fg(0)p
Ff(;)p Fg(1)p Fe(g)963 374 y Fd(K)989 382 y Ff(;\017)1013
386 y Fc(1)1029 382 y Fg(=1)1078 353 y Fh(\017)1095 336
y Ff(T)1121 353 y Fj(ARA)p Fh(\017)390 b Fi(\(1\))257
468 y(In)14 b(this)g(case,)h(w)o(e)f(m)o(ust)f(\014nd)h
Fh(\017)754 474 y Fg(2)786 468 y Fi(and)g Fh(\017)884
474 y Fg(3)916 468 y Fi(whic)o(h)g(are)g(solutions)f(to)504
559 y Fh(\021)525 565 y Fg(1)585 559 y Fi(=)139 b(min)658
588 y Ff(\017)p Fe(2f\000)p Fg(1)p Ff(;)p Fg(0)p Ff(;)p
Fg(1)p Fe(g)825 580 y Fc(3)840 588 y Ff(;\017)864 592
y Fc(1)880 588 y Fg(=1)929 559 y Fh(\017)946 542 y Ff(T)972
559 y Fj(R)p Fh(\017)611 b Fi(\(2\))585 652 y(=)139 b(min)658
681 y Ff(\017)p Fe(2f\000)p Fg(1)p Ff(;)p Fg(0)p Ff(;)p
Fg(1)p Fe(g)825 672 y Fc(3)840 681 y Ff(;\017)864 685
y Fc(1)880 681 y Fg(=1)929 652 y Fi(1)9 b(+)h Fh(\017)1018
658 y Fg(2)1045 652 y Fi(+)g Fh(\017)1104 658 y Fg(3)1131
652 y Fi(+)g(2)p Fh(\032)1215 658 y Fg(23)1250 652 y
Fh(\017)1267 658 y Fg(2)1286 652 y Fh(\017)1303 658 y
Fg(3)1330 652 y Fi(+)g Fh(\017)1389 635 y Fg(2)1389 662
y(2)1407 652 y Fh(\017)1424 635 y Fg(2)1424 662 y(3)1636
652 y Fi(\(3\))585 740 y(=)139 b(min)658 769 y Ff(\017)p
Fe(2f\000)p Fg(1)p Ff(;)p Fg(0)p Ff(;)p Fg(1)p Fe(g)825
760 y Fc(3)840 769 y Ff(;\017)864 773 y Fc(1)880 769
y Fg(=1)929 740 y Fh(g)q Fi(\()p Fh(\017)983 746 y Fg(2)1002
740 y Fh(;)7 b(\017)1038 746 y Fg(3)1056 740 y Fi(\))564
b(\(4\))257 860 y(where)13 b Fh(g)q Fi(\()p Fh(\017)429
866 y Fg(2)448 860 y Fh(;)7 b(\017)484 866 y Fg(3)502
860 y Fi(\))k(=)h(1)t(+)t Fh(\017)651 866 y Fg(2)673
860 y Fi(+)t Fh(\017)726 866 y Fg(3)748 860 y Fi(+)t(2)p
Fh(\032)826 866 y Fg(23)862 860 y Fh(\017)879 866 y Fg(2)897
860 y Fh(\017)914 866 y Fg(3)937 860 y Fi(+)t Fh(\017)990
844 y Fg(2)990 870 y(2)1008 860 y Fh(\017)1025 844 y
Fg(2)1025 870 y(3)1044 860 y Fi(.)17 b(In)11 b(the)h(follo)o(wing)c
(table,)k(w)o(e)f(compute)257 909 y(the)k(ob)r(jectiv)o(e)f(function)g
Fh(g)q Fi(\()p Fh(\017)722 915 y Fg(2)741 909 y Fh(;)7
b(\017)777 915 y Fg(3)795 909 y Fi(\))14 b(for)f(all)g(p)q(ossible)h(v)
n(alues)g(of)f Fh(\017)1290 915 y Fg(2)1322 909 y Fi(and)h
Fh(\017)1420 915 y Fg(3)1438 909 y Fi(.)p 781 967 386
2 v 780 1017 2 50 v 789 1017 V 814 1002 a Fh(\017)831
1008 y Fg(2)p 873 1017 V 899 1002 a Fh(\017)916 1008
y Fg(3)p 959 1017 V 987 1002 a Fh(g)q Fi(\()p Fh(\017)1041
1008 y Fg(2)1060 1002 y Fh(;)7 b(\017)1096 1008 y Fg(3)1114
1002 y Fi(\))p 1157 1017 V 1166 1017 V 781 1019 386 2
v 780 1068 2 50 v 789 1068 V 821 1053 a(0)p 873 1068
V 64 w(0)p 959 1068 V 121 w(1)p 1157 1068 V 1166 1068
V 781 1070 386 2 v 780 1120 2 50 v 789 1120 V 821 1105
a(1)p 873 1120 V 64 w(0)p 959 1120 V 121 w(3)p 1157 1120
V 1166 1120 V 781 1121 386 2 v 780 1171 2 50 v 789 1171
V 814 1156 a(-1)p 873 1171 V 57 w(0)p 959 1171 V 121
w(1)p 1157 1171 V 1166 1171 V 781 1173 386 2 v 780 1223
2 50 v 789 1223 V 821 1208 a(0)p 873 1223 V 64 w(1)p
959 1223 V 121 w(3)p 1157 1223 V 1166 1223 V 781 1224
386 2 v 780 1274 2 50 v 789 1274 V 821 1259 a(0)p 873
1274 V 57 w(-1)p 959 1274 V 114 w(1)p 1157 1274 V 1166
1274 V 781 1276 386 2 v 780 1326 2 50 v 789 1326 V 821
1311 a(1)p 873 1326 V 64 w(1)p 959 1326 V 57 w(5)i(+)h(2)p
Fh(\032)1098 1317 y Fg(23)p 1157 1326 V 1166 1326 V 781
1327 386 2 v 780 1377 2 50 v 788 1377 V 821 1362 a Fi(1)p
873 1377 V 57 w(-1)p 959 1377 V 50 w(3)f Fb(\000)h Fi(2)p
Fh(\032)1098 1368 y Fg(23)p 1157 1377 V 1166 1377 V 781
1379 386 2 v 780 1429 2 50 v 788 1429 V 814 1414 a Fi(-1)p
873 1429 V 57 w(1)p 959 1429 V 57 w(3)f Fb(\000)h Fi(2)p
Fh(\032)1098 1420 y Fg(23)p 1157 1429 V 1166 1429 V 781
1430 386 2 v 780 1480 2 50 v 788 1480 V 814 1465 a Fi(-1)p
873 1480 V 50 w(-1)p 959 1480 V 50 w(1)f(+)h(2)p Fh(\032)1098
1471 y Fg(23)p 1157 1480 V 1166 1480 V 781 1482 386 2
v 320 1556 a Fi(W)m(e)16 b(then)i(note)f(that)g(5)11
b(+)h(2)p Fh(\032)798 1562 y Fg(23)850 1556 y Fh(<)17
b Fi(1,)g(for)f Fh(\032)1036 1562 y Fg(23)1089 1556 y
Fh(<)h Fb(\000)p Fi(2,)g(whic)o(h)g(clearly)f(violates)h(the)257
1606 y(de\014nition)f(of)f(the)h(correlation)f(co)q(e\016cien)o(t.)24
b(Also,)16 b(note)g(that)f(3)c Fb(\000)f Fi(2)p Fh(\032)1399
1612 y Fg(23)1450 1606 y Fi(if)15 b(and)g(only)g(if)257
1656 y Fh(\032)278 1662 y Fg(23)326 1656 y Fh(>)d Fi(1.)19
b(This)14 b(again)f(cannot)i(b)q(e.)k(Finally)m(,)12
b(w)o(e)j(see)g(that)f(1)c(+)f(2)p Fh(\032)1321 1662
y Fg(23)1369 1656 y Fh(<)j Fi(1)i(if)g Fh(\032)1508 1662
y Fg(23)1555 1656 y Fh(<)f Fi(0.)18 b(In)257 1706 y(this)e(case,)g(if)f
Fh(\032)502 1712 y Fg(23)551 1706 y Fi(=)f Fb(\000)p
Fi(0)p Fh(:)p Fi(5,)h(then)h Fh(\021)827 1712 y Fg(1)859
1706 y Fi(=)e(0,)h(whic)o(h)h(means)e(that)i(for)f(the)h(giv)o(en)e
(range)i(of)257 1756 y Fh(\032)278 1762 y Fg(23)314 1756
y Fi(,)c(w)o(e)h(alw)o(a)o(ys)f(ha)o(v)o(e)g(0)f Fb(\024)h
Fh(\021)721 1762 y Fg(1)751 1756 y Fb(\024)g Fi(1.)17
b(F)m(rom)11 b(these)j(observ)n(ations,)e(w)o(e)h(can)f(then)i
(conclude)257 1805 y(that)g Fh(\021)368 1811 y Fg(1)400
1805 y Fi(is:)588 1919 y Fh(\021)609 1925 y Fg(1)639
1919 y Fi(=)683 1861 y Fa(\032)734 1894 y Fi(1)170 b(if)13
b(0)e Fb(\024)h Fh(\032)1060 1900 y Fg(23)1107 1894 y
Fb(\024)g Fi(1)734 1944 y(1)d(+)h(2)p Fh(\032)848 1950
y Fg(23)939 1944 y Fi(if)j Fb(\000)p Fi(0)p Fh(:)p Fi(5)e
Fb(\024)g Fh(\032)1138 1950 y Fg(23)1186 1944 y Fb(\024)g
Fi(0)1636 1919 y(\(5\))963 2628 y(1)p eop
%%Trailer
end
userdict /end-hook known{end-hook}if
%%EOF