listoffigures

Mathematical Methods by Moor n Stiling.

List of figures, captions, and files.

NOTES:
1) ALL figure files go in the 'pictures' subdirectory
2) files ending in .fig were created using xfig using the transdev package

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1.1    Input output relation for a transfer function
       syst1.latex  (pure latex, derived from xfig)
	   Referenced in intropart/introchap.tex
1.2    Realization of the AR part of a transfer function
       transfer1.latex  (pure latex, derived from xfig)
	   Referenced in intropart/introchap.tex
1.3    Realization of a transfer function
       transfer2.latex   (pure latex, derived from xfig)
	   Referenced in intropart/introchap.tex
1.4    Realization of a transfer function with state variable labels
       transfer3.latex   (pure latex, derived from xfig)
	   Referenced in intropart/introchap.tex
1.5    Prediction error
	   predict1.latex    (pure latex, derived from xfig)
	   Referenced in intropart/introchap.tex
1.6    Linear predictor as an inverse system
       predict2.latex    (pure latex, derived from xfig)
	   Referenced in intropart/introchap.tex
1.7    PSD input and output
       syst2.latex      (pure latex, derived from xfig)
	   Referenced in intropart/introchap.tex
1.8    Representation of an adaptive filter
       adfilt1.tex, adfilt1.ps --- derived from adfilt1.fig
	   Referenced in intropart/introchap.tex
1.9    Identification of an unknown plant
	   adfiltsysid.tex, adfiltsys.ps --- derived from adfiltsysid.fig
	   Referenced in intropart/introchap.tex
1.10   Adapting to the inverse of an unknown plant
	   adfiltinvsys.tex, adfiltinvsys.ps --- derived from adfiltinvsys.tex
	   Referenced in intropart/introchap.tex
1.11   An adaptive predictor
	   adfiltpred.tex, adfiltpred.ps --- derived from adfiltpred.fig
	   Referenced in intropart/introchap.tex
1.12   Configuration for interference cancellation
	   adcancel.tex, adcancel.ps --- derived from adcancel.fig
	   Referenced in intropart/introchap.tex
1.13   The Gaussian density
	   plotgauss.eps --- Matlab plot file (plotgauss.m)
	   Referenced in intropart/introchap.tex
1.14   Demonstration of the central limit theorem
	   unif1.eps, unif2.eps, unif3.eps --- Matlab plot files
       (plotgauss2.m)
	   Referenced in intropart/introchap.tex
1.15   Plot of 2-dimensional Gaussian distribution
	   gauss21.eps, gauss22.eps --- Matlab plot files (plotgauss3.m)
	   Referenced in intropart/introchap.tex
1.16   A simple Markov model
	   markov1.tex, markov1.ps --- derived from markov1.fig
	   Referenced in intropart/introchap.tex
1.17   Illustration of a hidden Markov model
	   markov2.tex, markov2.ps --- derived from markov2.fig
	   Referenced in intropart/introchap.tex
1.18   Illustration of the concept of an HMM
	   hmm.tex, hmm.ps --- derived from hmm.fig
	   Referenced in intropart/introchap.tex
1.19   Binary symmetric channel model
	   bsc1.tex, bsc1.ps, bsc3.tex, bsc3.ps --- derived from bsc1.fig
       and bsc2.fig
	   Referenced in intropart/proofs.tex
1.20   LFSR realization
	   lfsr1.tex, lfsr1.ps --- derived from lfsr1.fig
	   Referenced in intropart/berlmassey.tex
1.21   Alternative LFSR realization
	   lfsr2.tex, lfsr2.ps --- derived from lfsr2.fig
	   Referenced in intropart/berlmassey.tex
1.22   A binary LFSR and its output
	   lfsr4a.latex --- pure latex
	   lfsr4.latex --- pure latex -- derived from xfig
	   Referenced in intropart/berlmassey.tex
P1.4-17 (diagram in homework problem
	   transfer5.latex --- pure latex derived from xfig
1.23   Simple feedback configuration
	   feedback1.tex, feedback1.ps --- derived from feedback1.fig
P1.9.59 (diagram in homework problem)
	   lfsr5.latex --- pure latex derived from xfig

2.1	   Illustration of the triangle inequality
	   triineq.tex, triineq.ps --- derived from triineq.fig
	   Referenced in linalgpart/basics.tex
2.2	   Quantization of the vector $\xbf$
	   quant1.tex, quant1.ps --- derived from quant1.fig
	   Referenced in linalgpart/basics.tex	
2.3	   Comparison of d_\infty and d_2 metrics   
	   functnba.tex, funtnba.ps
	   functnbb.tex, funtnbb.ps --- derived from xfig
	   Referenced in linalgpart/basics.tex	
ball   ball on p. 79
	   bx0.tex, bx0.ps -- derived from xfig
	   Referenced in linalgpart/basics.tex	
2.4	   x_0 is interior, x_2 is exterior, and x_1 is neither interior
	   inex.tex, inex.ps --- from xfig
	   Referenced in linalgpart/basics.tex	
2.5	   Illustration of open and closed sets
	   open.tex, open.ps
	   closed.tex, closed.ps --- from xfig
	   Referenced in linalgpart/basics.tex	
2.6	   The function f_n(t)
	   functseq.tex, functseq.ps --- from xfig
	   Referenced in linalgpart/basics.tex	
2.7	   Illustration of Gibbs phenomenon
	   gibbs.ps --- Matlab file (fourser.m)
	   Referenced in linalgpart/basics.tex	
2.8	   A subspace of $\Rbb^3$
	   plan1.tex, plan1.ps --- from xfig
	   Referenced in linalgpart/vectsp.tex
2.9	   A triangle inequality interpretation
	   triineq2.tex, triineq2.ps -- from xfig
	   Referenced in linalgpart/vectsp.tex
2.10   Unit spheres in $\Rbb^2$ under various norms
	   spheres.tex, spheres.ps --- from xfig
	   Referenced in linalgpart/vectsp.tex
2.11   Chebyshev polynomials...
	   cheby1.eps  --- Matlab file (chebyplot.m)
	   Referenced in linalgpart/vectsp.tex
2.12   A space and its orthogonal complement
	   orthogspace1.tex, orthogspace1.ps --- from xfig
	   Referenced in linalgpart/vectsp.tex
2.13   Disjoint lines in $\Rbb^2$
	   disjoint1.tex, disjoint1.ps -- from xfig
	   Referenced in linalgpart/vectsp.tex
2.14   Decomposition of $\xbf$ into disjoint components
	   disjoint2.tex disjoint2.ps -- from xfig
	   Referenced in linalgpart/vectsp.tex
2.15   Orthogonal projection finds the closest point in $V$ to $\xbf$
	   orthogproj1.tex, orthogproj1.ps -- from xfig
	   Referenced in linalgpart/vectsp.tex
2.16   Orthogonal projection onto the space spanned by some vectors
	   orthogproj2.tex, orthogproj2.ps -- from xfig
	   Referenced in linalgpart/vectsp.tex
2.17   The projection theorem
	   proj1.tex, proj1.ps -- from xfig
	   Referenced in linalgpart/vectsp.tex
2.18   The first steps of the Gram-Schmidt process
	   gramschmidt1.tex, gramschmidt1.ps -- from xfig
	   Referenced in linalgpart/vectsp.tex
2.19   Third step of the Gram-Schmidt process
	   gramschmidt2.tex, gramschmidt2.ps -- from xfig
	   Referenced in linalgpart/vectsp.tex
2.20   The parallelogram law
	   parallel.tex, parallel.ps -- from xfig
	   Referenced in linalgpart/vectsp.tex
2.21   Functions to orthogonalize
	   gramschmidt3.tex, gramschmidt3.ps -- from xfig
	   Referenced in linalgpart/vectsp.tex

3.1	   The approximation problem
	   orthogproj3.tex, orthogproj3.ps -- from xfig
	   Referenced in linalgpart/vectap.tex
3.2	   Approximation with one and two vectors
	   orthogproj4.tex, orthogproj4.ps
	   orthogproj5.tex, orthogproj5.ps -- from xfig
	   Referenced in linalgpart/vectap.
3.3	   An error surface for two variables
	   quaderr.eps -- Matlab file (plotJsurf.m)
	   Referenced in linalgpart/vectap.
3.4	   Projection solution
	   orthogproj6.tex,orthogproj6.ps -- from xfig
	   Referenced in linalgpart/vectap.
3.5	   Statistician's Pythagorean theorem
	   pythag1.tex,pythag1.ps -- from xfig
	   Referenced in linalgpart/vectap
3.6	   Comparison of LS, WLS, and Taylor series approximations to $e^t$
	   hilb1.eps -- Matlab file (hilb1.m, then move legend)
	   Referenced in linalgpart/vectap
3.7	   A discrete function and the error its approximation
	   discapprox1.eps, discapprox2.eps -- Matlab file (discapprox.m)
	   Referenced in linalgpart/vectap
3.8	   Data for regression
	   regress1.eps, regress2.eps -- Matlab file (test2regress.m)
	   Referenced in linalgpart/vectap
3.9	   Illustration of least-squares and weighted least squares
	   regress3.eps -- Matlab file (test2regress2.m)
	   Referenced in linalgpart/vectap
3.10   Least-squares equalizer example
	   equalizer1.tex, equalizer1.ps -- from xfig
	   Referenced in linalgpart/vectap
3.11   Equalizer problem
	   equalizer2.tex, equalizer2.ps -- from xfig
	   Referenced in linalgpart/vectap
3.12   Contour plot of an error surface
	   wftestcont.eps -- Matlab file (wftest.m)
	   Referenced in linalgpart/vectap
3.13   Pole-zero plot of rational $S_y(s)$
	   pictures/pzrat.latex
	   Referenced in ndetest/freqfilt
3.14   $y_t$ as the output of a linear system driven by white noise.
	   pictures/ytout.latex
	   Referenced in ndetest/freqfilt
3.15   $\nu_t$ as the output of a linear system driven by $y_t$
	   pictures/vtout.latex
	   Referenced in ndetest/freqfilt
3.16   The optimal filter as the cascade of a whitening filter and a
	   Wiener filter with white noise inputs 
	   pictures/whsifilt.latex
	   Referenced in ndetest/freqfilt
3.17   Minimum norm to a linear variety
	   linvar1.tex, linvar1.ps -- from xfig
	   Referenced in linalgpart/vectap
3.18   Magnitude response for filters designed using IRLS
	   irwlsp4.eps, irwlsp10.eps -- Matlab file (testirwls.m)
	   Referenced in linalgpart/wls.tex
3.19   Legendre polynomials ...
	   legendre1.eps -- Matlab file (legendreplot.m)
	   Referenced in functpart/orthogpoly.m
3.20   A function $f(t)$ and its projection onto V_0 and V_{-1}
	   wavelet1.tex, wavelet1.ps -- from xfig
	   Referenced in linalgpart/wavelets.tex
3.21   The simplest scaling and wavelet functions
	   wavelet2.tex, wavelet2.ps -- from xfig
	   Referenced in linalgpart/wavelets.tex
3.22   Illustration of scaling and wavelet functions
	   wave4.ps, wave6.ps, wave8.ps, wave10.ps -- Matlab file (plotwavelet.m)
	   Referenced in linalgpart/wavelets.tex
3.23   Illustration of a wavelet transform
	   wavelet3.tex, wavelet3.ps -- from xfig
3.24   Multirate interpretation of wavelet transform
	   wavelet4.tex, wavelet4.ps -- from xfig
	   Referenced in linalgpart/wavelets.tex
3.25   Illustration of the inverse wavelet transform
	   wavelet5.tex,  wavelet5.ps -- from xfig
	   Referenced in linalgpart/wavelets.tex
3.26   Filtering interpretation of an inverse wavelet transform
	   wavelet6.tex, wavelet6.ps -- from xfig
	   Referenced in linalgpart/wavelets.tex
3.27   Perfect reconstruction filter bank
	   wavelet7.tex, wavelet7.ps -- from xfig
	   Referenced in linalgpart/wavelets.tex
3.28   Two basis functions, and some functions represented using them
	   digfun1.tex, digfun1.ps,	digfun2.tex, digfun2.ps, digfun3.tex,digfun3.ps
	   from xfig
	   Referenced in linalgpart/matchef.tex
3.29   Implementations of digital receiver processing
	   digfun4.tex, digfun4.ps, digfun5.tex, digfun5.ps -- from xfig
	   Referenced in linalgpart/matchef.tex
3.30   Digital receiver processing
	   digfun7.tex, digfun7.ps -- from xfig
	   Referenced in linalgpart/matchef.tex
3.31   Implementation of a matched filter receiver
	   digfun6.tex, digfun6.ps -- from xfig
	   Referenced in linalgpart/matchef.tex
3.32   PSK signal constellation and detection example
	   psk1.tex, psk1.ps -- from xfig
	   Referenced in linalgpart/matchef.tex
3.33   Illustration of concepts of various signal constellations
	   ook1.tex, ook1.ps, bpsk1.tex, bpsk1.ps, ppm1.tex, ppm1.ps,
	   qam1.tex, qam1.ps -- from xfig
	   Referenced in linalgpart/matchef.tex
3.34   Block diagram for detection processing
	   matched.tex, matched.ps -- from xfig
	   Referenced in linalgpart/matchef.tex

4.1	   Geometry of the operator norm
	   norm1.tex, norm1.ps -- from xfig
	   Referenced in linalgpart/matnorm.tex
4.2	   Intersections of lines form solutions of systems of linear equations
	   lines1.tex, lines1.ps -- from xfig
	   Referenced in linalgpart/mateq.tex
4.3	   Intersecting planes
	   planes1.tex, planes1.ps,planes2.tex, planes2.ps -- from xfig
	   Referenced in linalgpart/mateq.tex
4.4	   The four fundamental subspaces of a matrix operator
	   fourspace.tex, fourspace.ps -- from xfig
	   Referenced in linalgpart/mateq.tex
4.5	   Operation of the pseudo-inverse
	   fourspace2.tex, fourspace2.ps -- from xfig
	   Referenced in linalgpart/mateq.tex
4.6	   Demonstration of an ill-conditioned linear system
	   illcond1.tex, illcond1.ps -- from xfig
	   Referenced in linalgpart/matcond.tex