www.pudn.com > SolutionsforMultiuserDetection.rar > 2.45.miloslavsky.ps
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1 0 bop -88 45 a Ff(Eugene)17 b(Milosla)l(vsky.)p -150
107 2100 2 v -88 193 a Fe(2.45)-150 253 y(Let)11 b(us)f(sho)o(w)g(that)
h(1)r Fd(\000)r Fc(\032)f Fe(is)g(an)g(eigen)o(v)n(alue)g(of)g
Fc(R)g Fe(with)f Fc(K)c Fd(\000)r Fe(1)11 b(linearly)e(indep)q(enden)o
(t)i(eigen)o(v)o(ectors.)18 b(Let)11 b Fc(x)1531 238
y Fb(i)1555 253 y Fe(for)f Fc(i)h Fd(2)h(f)p Fe(1)p Fc(;)7
b Fe(2)p Fc(;)g(:)g(:)g(:)s(K)e Fd(\000)r Fe(1)p Fd(g)-150
313 y Fe(b)q(e)15 b(a)f(column)f(v)o(ector)i(suc)o(h)h(that)e
Fc(x)422 298 y Fb(i)422 324 y(i;)p Fa(1)474 313 y Fe(=)f(1)p
Fc(;)35 b(x)611 298 y Fb(i)611 324 y(i)p Fa(+1)p Fb(;)p
Fa(1)706 313 y Fe(=)12 b Fd(\000)p Fe(1)j(and)f(all)f(other)j(comp)q
(onen)o(ts)e(of)f Fc(x)1367 298 y Fb(i)1395 313 y Fe(are)i(equal)f(to)h
(0.)k(Then)c(it)f(is)h(easy)-150 373 y(to)f(see)h(that)-150
432 y(a.)j Fc(x)-75 417 y Fb(i)-62 432 y Fe('s)c(are)g(linearly)f
(indep)q(enden)o(t.)-150 492 y(b.)18 b(All)13 b(of)g
Fc(K)g Fd(\000)c Fe(1)14 b Fc(x)166 477 y Fb(i)179 492
y Fe('s)g(are)g(eigen)o(v)o(ectors)i(of)d Fc(R)h Fe(with)f(eigen)o(v)n
(alue)g(1)c Fd(\000)h Fc(\032)p Fe(.)-150 552 y(Th)o(us,)j(1)6
b Fd(\000)g Fc(\032)13 b Fe(is)g(an)f(eigen)o(v)n(alue)g(of)g
Fc(R)g Fe(with)g(m)o(ultiplicit)o(y)d Fc(K)h Fd(\000)c
Fe(1.)18 b(In)12 b(addition,)f(the)i(column)e(v)o(ector)i(of)f(all)f
(ones)j(is)e(an)g(eigen)o(v)o(ector)-150 612 y(of)h Fc(R)h
Fe(with)g(eigen)o(v)n(alue)f(1)c(+)g Fc(\032)p Fe(\()p
Fc(K)k Fd(\000)d Fe(1\).)p -150 673 V 890 2828 a(1)p
eop
%%Trailer
end
userdict /end-hook known{end-hook}if
%%EOF