Commit ee2ff04c6201ec2798d6445f20b53fc3c30cca66

Authored by jfriedt
1 parent 76ebb20ed4
Exists in master

illustration quantification

Showing 4 changed files with 1464 additions and 0 deletions Side-by-side Diff

ifcs2018_proceeding.tex
... ... @@ -96,8 +96,17 @@
96 96 \begin{figure}[h!tb]
97 97 \includegraphics[width=\linewidth]{images/float-vs-integer.pdf}
98 98 \caption{Impact of the quantization resolution of the coefficients}
  99 +%\label{float_vs_int}
  100 +\end{figure}
  101 +
  102 +\begin{figure}[h!tb]
  103 +\includegraphics[width=\linewidth]{images/demo_filtre}
  104 +\caption{Impact of the quantization resolution of the coefficients: the quantization is
  105 +set to 6~bits, setting the 30~first and 30~last coefficients out of the initial 128~band-pass
  106 +filter coefficients to 0.}
99 107 \label{float_vs_int}
100 108 \end{figure}
  109 +
101 110  
102 111 \section{Filter optimization}
103 112  
images/demo_filtre.eps
Diff suppressed. Click to show
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  2 +%%Title: demo_filtre.eps
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  4 +%%CreationDate: Fri May 18 19:34:59 2018
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  309 +%
  310 +% PostScript Level 1 Pattern Fill routine for rectangles
  311 +% Usage: x y w h s a XX PatternFill
  312 +% x,y = lower left corner of box to be filled
  313 +% w,h = width and height of box
  314 +% a = angle in degrees between lines and x-axis
  315 +% XX = 0/1 for no/yes cross-hatch
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  399 +/Pattern5 {PatternBgnd KeepColor Landscape {Pat4} {Pat5} ifelse setpattern} bind def
  400 +/Pattern6 {PatternBgnd KeepColor Landscape {Pat9} {Pat6} ifelse setpattern} bind def
  401 +/Pattern7 {PatternBgnd KeepColor Landscape {Pat8} {Pat7} ifelse setpattern} bind def
  402 +} def
  403 +%
  404 +%
  405 +%End of PostScript Level 2 code
  406 +%
  407 +/PatternBgnd {
  408 + TransparentPatterns {} {gsave 1 setgray fill grestore} ifelse
  409 +} def
  410 +%
  411 +% Substitute for Level 2 pattern fill codes with
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  413 +%
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  416 +/Pattern2 {0.500 Density} bind def
  417 +/Pattern3 {0.750 Density} bind def
  418 +/Pattern4 {0.125 Density} bind def
  419 +/Pattern5 {0.375 Density} bind def
  420 +/Pattern6 {0.625 Density} bind def
  421 +/Pattern7 {0.875 Density} bind def
  422 +} def
  423 +%
  424 +% Now test for support of Level 2 code
  425 +%
  426 +Level1 {Level1PatternFill} {Level2PatternFill} ifelse
  427 +%
  428 +/Symbol-Oblique /Symbol findfont [1 0 .167 1 0 0] makefont
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  430 +currentdict end definefont pop
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  434 +/Rwidth {currentpoint stroke M dup stringwidth pop neg vshift R Metrics} def
  435 +/Cwidth {currentpoint stroke M dup stringwidth pop -2 div vshift R Metrics} def
  436 +/GLwidth {currentpoint stroke M 0 vshift R {ExtendTextBox} forall} def
  437 +/GRwidth {currentpoint stroke M dup Gwidth vshift R {ExtendTextBox} forall} def
  438 +/GCwidth {currentpoint stroke M dup Gwidth 2 div vshift R {ExtendTextBox} forall} def
  439 +/GLwidth2 {0 Gwidth AddGlyphWidth} def
  440 +/GRwidth2 {Gwidth -1 mul 0 AddGlyphWidth} def
  441 +/GCwidth2 {Gwidth 2 div dup -1 mul AddGlyphWidth} def
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  443 + dup TBx1 lt {userdict /TBx1 3 -1 roll put} {pop} ifelse } def
  444 +/MFshow {
  445 + { dup 5 get 3 ge
  446 + { 5 get 3 eq {gsave} {grestore} ifelse }
  447 + {dup dup 0 get findfont exch 1 get scalefont setfont
  448 + [ currentpoint ] exch dup 2 get 0 exch R dup 5 get 2 ne {dup dup 6
  449 + get exch 4 get {textshow} {Metrics pop 0 R} ifelse }if dup 5 get 0 eq
  450 + {dup 3 get {2 get neg 0 exch R pop} {pop aload pop M} ifelse} {dup 5
  451 + get 1 eq {dup 2 get exch dup 3 get exch 6 get Gswidth pop -2 div
  452 + dup 0 R} {dup 6 get Gswidth pop -2 div 0 R 6 get
  453 + textshow 2 index {aload pop M neg 3 -1 roll neg R pop pop} {pop pop pop
  454 + pop aload pop M} ifelse }ifelse }ifelse }
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images/demo_filtre.m
  1 +pkg load signal
  2 +close all
  3 +clear all
  4 +
  5 +d=firls(128,[0 .2 .3 .4 .5 1],[0 0 1 1 0 0]);
  6 +d=d/max(d);
  7 +plot(d)
  8 +N=6;
  9 +k=find(abs(d)<2^(-N))
  10 +hold on
  11 +plot(k,0,'r.')
  12 +line([1 128],[2^(-N) 2^(-N)])
  13 +line([1 128],[-2^(-N) -2^(-N)])
  14 +legend('filter coefficients',[num2str(N),' bit quantization'])
  15 +kk=find(diff(k)>1);
  16 +k(kk(1))
  17 +k(kk(end))
  18 +xlabel('cofficient num');ylabel('normalized coef. value')
  19 +line([0 k(kk(1))],[0.1 0.1])
  20 +line([k(kk(end)) 128],[0.1 0.1])
  21 +text(10,0.15,'30 coefs at 0')
  22 +text(110,0.15,'30 coefs at 0')
images/demo_filtre.pdf
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