[4029] in SIPB bug reports
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daemon@ATHENA.MIT.EDU (jaggi@athena.mit.edu)
Fri Aug 13 16:52:19 1993
From: jaggi@athena.mit.edu
To: bug-sipb@mit.edu
Date: Fri, 13 Aug 93 16:50:50 EDT
Hello,
I think I have stumbled upon a printer bug with the HP Laser Jet
IVsi MX printers. Equation 12 in the following .ps file prints
out incorrectly. The file was created using dvips. The bug does not
occur if I use dvi2ps. The expression on the right hand side of
Equation 12 should look like the expression two lines above. I tried
to recreate this bug in a smaller latex file so I could mail you
the smaller latex file, but the bug only seems to exist within the
entire document.
If I print this page on one of the old DEC LN03 printers, there
is no problem. There is also no problem in the document when I look
at it on ghostview or xdvi.
Finally, to get around this problem, I just offset the line of
Equation 12 with an extra space and everything worked out fine.
Seema Jaggi
**************************************************************
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2267 y(refer.)146 2387 y(Mo)s(del)34 b(iden)m(ti\014cation)h(is)g(a)e(sto)s
(c)m(hastic)i(estimation)f(tec)m(hnique)i(whic)m(h)g(determines)f(whic)m(h)g
(of)0 2507 y(sev)m(eral)g(h)m(yp)s(othesized)g(mo)s(dels)f(is)g(most)f(lik)m
(ely)i(giv)m(en)f(the)g(data.)44 b(That)34 b(is,)f(the)h(mo)s(del)f(iden)m
(ti\014er)0 2628 y(c)m(ho)s(oses)24 b(mo)s(del)g Fd(i)f Fg(from)g
Fd(m)g Fg(h)m(yp)s(othesized)i(mo)s(dels)f(at)f(time)g Fd(k)j
Fg(if)d(mo)s(del)g Fd(i)h Fg(maximizes)h(the)e(quan)m(tit)m(y:)1161
2824 y(p)1216 2848 y Fc(i)1244 2824 y Fg(\()p Fd(k)s Fg(\))k(=)h(Pr\(mo)s
(del)33 b Fd(i)g Fg(is)g(correct)q Fe(j)p Fd(Y)2479 2839 y
Fc(k)2521 2824 y Fg(\))988 b(\(10\))0 3020 y(where)40 b Fd(Y)345
3035 y Fc(k)425 3020 y Fg(is)f(the)g(set)g(of)f(measuremen)m(ts)j(up)e(to)f
(and)h(including)g(the)g(measuremen)m(t)i(at)d(time)h Fd(k)s
Fg(.)0 3141 y(Applying)34 b(Ba)m(y)m(es')g(rule,)f(\(10\))f(is)h(rewritten)h
(in)f(the)g(follo)m(wing)g(recursiv)m(e)i(form:)736 3392 y(p)791
3416 y Fc(i)819 3392 y Fg(\()p Fd(k)s Fg(\))27 b(=)1170 3325
y(p\()p Fd(y)t Fg(\()p Fd(k)s Fg(\))p Fe(j)p Fd(Y)1529 3340
y Fc(k)r Fb(\000)p Ff(1)1660 3325 y Fd(;)17 b Fg(mo)s(del)33
b Fd(i)g Fg(is)g(correct)q(\))22 b(p)2565 3348 y Fc(i)2593
3325 y Fg(\()p Fd(k)j Fe(\000)e Fg(1\))p 1090 3369 1884 4 v
1120 3416 a Fc(m)1091 3441 y Fa(X)1090 3623 y Fc(j)t Ff(=1)1229
3524 y Fg(p\()p Fd(y)t Fg(\()p Fd(k)s Fg(\))p Fe(j)p Fd(Y)1588
3539 y Fc(k)r Fb(\000)p Ff(1)1719 3524 y Fd(;)17 b Fg(mo)s(del)33
b Fd(j)39 b Fg(is)33 b(correct\))22 b(p)2637 3547 y Fc(j)2673
3524 y Fg(\()p Fd(k)j Fe(\000)e Fg(1\))3547 3392 y(\(11\))0
3803 y(The)33 b(quan)m(tit)m(y)h(p\()p Fd(y)t Fg(\()p Fd(k)s
Fg(\))p Fe(j)p Fd(Y)949 3818 y Fc(k)r Fb(\000)p Ff(1)1080 3803
y Fd(;)17 b Fg(mo)s(del)33 b Fd(i)f Fg(is)h(correct)q(\))f(is)g(obtained)h
(as)f(a)g(b)m(ypro)s(duct)h(of)f(the)g(Kalman)0 3924 y(\014lter)h(based)h(on)
e(mo)s(del)h Fd(i)g Fg(and)f(is)i(giv)m(en)f(b)m(y)782 4120
y(p\()p Fd(y)t Fg(\()p Fd(k)s Fg(\))p Fe(j)p Fd(Y)1141 4135
y Fc(k)r Fb(\000)p Ff(1)1272 4120 y Fd(;)17 b Fg(mo)s(del)33
b Fd(i)g Fg(is)g(correct\))28 b(=)g(N\()p Fd(\027)2391 4135
y Fc(i)2419 4120 y Fg(\()p Fd(k)s Fg(\);)17 b(0)p Fd(;)g(V)2743
4135 y Fc(i)2770 4120 y Fg(\()p Fd(k)s Fg(\)\))609 b(\(12\))0
4317 y(where)34 b Fd(\027)330 4332 y Fc(i)358 4317 y Fg(\()p
Fd(k)s Fg(\))f(are)g(the)g(Kalman)f(\014lter)h(residuals)i(and)d(N)q(\()p
Fd(\027)2205 4332 y Fc(i)2233 4317 y Fg(\()p Fd(k)s Fg(\);)17
b(0)p Fd(;)g(V)2557 4332 y Fc(i)2584 4317 y Fg(\()p Fd(k)s
Fg(\)\))33 b(is)g(a)f(a)h(Gaussian)g(distri-)0 4437 y(bution)27
b(with)g(mean)g(of)f(zero)g(and)h(v)-5 b(ariance)27 b Fd(V)1694
4452 y Fc(i)1722 4437 y Fg(\()p Fd(k)s Fg(\))f(ev)-5 b(aluated)27
b(at)f Fd(\027)2469 4452 y Fc(i)2498 4437 y Fg(\()p Fd(k)s
Fg(\).)41 b(Both)26 b Fd(\027)2980 4452 y Fc(i)3009 4437 y
Fg(\()p Fd(k)s Fg(\))g(and)h Fd(V)3406 4452 y Fc(i)3434 4437
y Fg(\()p Fd(k)s Fg(\))f(are)0 4557 y(obtained)35 b(directly)g(from)g(the)f
(Kalman)g(\014lter.)50 b(By)34 b(substituting)i(\(12\))e(in)g(\(11\),)h(it)f
(is)h(p)s(ossible)g(to)0 4678 y(calculate)e(p)460 4701 y Fc(i)488
4678 y Fg(\()p Fd(k)s Fg(\).)43 b(Th)m(us,)34 b(the)e(mo)s(del)g(iden)m
(ti\014cation)h(sc)m(heme)h(consists)g(of)d(a)h(bank)g(of)f(Kalman)h(\014l-)0
4798 y(ters,)e(one)f(based)g(on)g(eac)m(h)g(of)f(the)h(h)m(yp)s(othesized)i
(mo)s(dels,)g(and)d(a)g(comparison)i(step)f(to)f(determine)0
4918 y(whic)m(h)33 b(h)m(yp)s(othesized)g(mo)s(del)e(maximizes)j(p)1675
4942 y Fc(i)1703 4918 y Fg(\()p Fd(T)14 b Fg(\),)31 b(where)h
Fd(T)45 b Fg(is)31 b(the)h(time)g(in)m(terv)-5 b(al)31 b(o)m(v)m(er)h(whic)m
(h)h(w)m(e)0 5039 y(ha)m(v)m(e)43 b(data.)69 b(In)42 b(Section)g(3.1)f(w)m(e)
h(presen)m(t)h(some)f(n)m(umerical)h(exp)s(erimen)m(ts)h(demonstrating)f(the)
0 5159 y(p)s(erformance)33 b(of)f(suc)m(h)i(an)f(approac)m(h.)146
5280 y(A)m(t)42 b(b)s(est,)j(the)d(mo)s(del)g(iden)m(ti\014cation)h(phase)g
(yields)g(only)f(a)g(coarse)g(appro)m(ximation)g(to)g(the)0
5400 y(underlying)26 b(cardiac)f(dynamics.)42 b(Th)m(us,)28
b(the)d(smo)s(othing)f(\014lter,)j(whic)m(h)f(is)f(based)g(on)f(the)h(output)
f(of)1836 5649 y(9)p eop
%%Trailer
end
userdict /end-hook known{end-hook}if
%%EOF
