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begin { 1 index /FID ne {def}{pop pop} ifelse } forall /Encoding exch def currentdict end definefont pop } bdef /isroman { findfont /CharStrings get /Agrave known } bdef /FMSR { 3 1 roll 1 index dup isroman {reencode} {pop pop} ifelse exch FMS } bdef /csm { 1 dpi2point div -1 dpi2point div scale neg translate landscapeMode eq {90 rotate} if } bdef % line types: solid, dotted, dashed, dotdash /SO { [] 0 setdash } bdef /DO { [.5 dpi2point mul 4 dpi2point mul] 0 setdash } bdef /DA { [6 dpi2point mul] 0 setdash } bdef /DD { [.5 dpi2point mul 4 dpi2point mul 6 dpi2point mul 4 dpi2point mul] 0 setdash } bdef % macros for lines and objects /L { lineto stroke } bdef /MP { 3 1 roll moveto 1 sub {rlineto} repeat } bdef /AP { {rlineto} repeat } bdef /PP { closepath eofill } bdef /DP { closepath stroke } bdef /MR { 4 -2 roll moveto dup 0 exch rlineto exch 0 rlineto neg 0 exch rlineto closepath } bdef /FR { MR stroke } bdef /PR { MR fill } bdef /L1i { { currentfile picstr readhexstring pop } image } bdef /tMatrix matrix def /MakeOval { newpath tMatrix currentmatrix pop translate scale 0 0 1 0 360 arc tMatrix setmatrix } bdef /FO { MakeOval stroke } bdef /PO { MakeOval fill } bdef /PD { currentlinecap 1 setlinecap 3 1 roll 2 copy moveto lineto stroke setlinecap } bdef /FA { newpath tMatrix currentmatrix pop translate scale 0 0 1 5 -2 roll arc tMatrix setmatrix stroke } bdef /PA { newpath tMatrix currentmatrix pop translate 0 0 moveto scale 0 0 1 5 -2 roll arc closepath tMatrix setmatrix fill } bdef /FAn { newpath tMatrix currentmatrix pop translate scale 0 0 1 5 -2 roll arcn tMatrix setmatrix stroke } bdef /PAn { newpath tMatrix currentmatrix pop translate 0 0 moveto scale 0 0 1 5 -2 roll arcn closepath tMatrix setmatrix fill } bdef /vradius 0 def /hradius 0 def /lry 0 def /lrx 0 def /uly 0 def /ulx 0 def /rad 0 def /MRR { /vradius xdef /hradius xdef /lry xdef /lrx xdef /uly xdef /ulx xdef newpath tMatrix currentmatrix pop ulx hradius add uly vradius add translate hradius vradius scale 0 0 1 180 270 arc tMatrix setmatrix lrx hradius sub uly vradius add translate hradius vradius scale 0 0 1 270 360 arc tMatrix setmatrix lrx hradius sub lry vradius sub translate hradius vradius scale 0 0 1 0 90 arc tMatrix setmatrix ulx hradius add lry vradius sub translate hradius vradius scale 0 0 1 90 180 arc tMatrix setmatrix closepath } bdef /FRR { MRR stroke } bdef /PRR { MRR fill } bdef /MlrRR { /lry xdef /lrx xdef /uly xdef /ulx xdef /rad lry uly sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 90 270 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 270 90 arc tMatrix setmatrix closepath } bdef /FlrRR { MlrRR stroke } bdef /PlrRR { MlrRR fill } bdef /MtbRR { /lry xdef /lrx xdef /uly xdef /ulx xdef /rad lrx ulx sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 180 360 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 0 180 arc tMatrix setmatrix closepath } bdef /FtbRR { MtbRR stroke } bdef /PtbRR { MtbRR fill } bdef currentdict end def %%EndProlog %%BeginSetup MathWorks begin 0 cap end %%EndSetup %%Page: 1 1 %%BeginPageSetup %%PageBoundingBox: 13 295 805 500 MathWorks begin bpage %%EndPageSetup %%BeginObject: obj1 bplot /dpi2point 12 def portraitMode -1116 5952 csm 1282 -48 9504 2449 MR c np 93 dict begin %Colortable dictionary /c0 { 0 0 0 sr} bdef /c1 { 1 1 1 sr} bdef /c2 { 1 0 0 sr} bdef /c3 { 0 1 0 sr} bdef /c4 { 0 0 1 sr} bdef /c5 { 1 1 0 sr} bdef /c6 { 1 0 1 sr} bdef /c7 { 0 1 1 sr} bdef c0 1 j 1 sg 0 0 11847 2402 PR 6 w 0 1956 1849 0 0 -1956 1540 2136 4 MP PP -1849 0 0 1956 1849 0 0 -1956 1540 2136 5 MP stroke 4 w DO 0 sg 1540 2136 mt 1540 180 L 1540 180 mt 1540 180 L 2118 2136 mt 2118 180 L 2118 180 mt 2118 180 L 2696 2136 mt 2696 180 L 2696 180 mt 2696 180 L 3273 2136 mt 3273 180 L 3273 180 mt 3273 180 L 1540 2136 mt 3389 2136 L 3389 2136 mt 3389 2136 L 1540 1745 mt 3389 1745 L 3389 1745 mt 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L 3389 571 mt 3369 571 L 1339 615 mt (0.8) s 1540 180 mt 1560 180 L 3389 180 mt 3369 180 L 1439 224 mt (1) s 1540 180 mt 3389 180 L 1540 2136 mt 3389 2136 L 1540 2136 mt 1540 180 L 3389 2136 mt 3389 180 L gs 1540 180 1850 1957 MR c np 0 0 4 0 0 0 1538 2136 4 MP PP -4 0 0 0 4 0 0 0 1538 2136 5 MP stroke 0 0 5 0 0 0 1543 2136 4 MP PP -5 0 0 0 5 0 0 0 1543 2136 5 MP stroke 0 0 5 0 0 0 1549 2136 4 MP PP -5 0 0 0 5 0 0 0 1549 2136 5 MP stroke 0 0 5 0 0 0 1555 2136 4 MP PP -5 0 0 0 5 0 0 0 1555 2136 5 MP stroke 0 0 4 0 0 0 1561 2136 4 MP PP -4 0 0 0 4 0 0 0 1561 2136 5 MP stroke 0 0 4 0 0 0 1567 2136 4 MP PP -4 0 0 0 4 0 0 0 1567 2136 5 MP stroke 0 0 5 0 0 0 1572 2136 4 MP PP -5 0 0 0 5 0 0 0 1572 2136 5 MP stroke 0 0 5 0 0 0 1578 2136 4 MP PP -5 0 0 0 5 0 0 0 1578 2136 5 MP stroke 0 0 5 0 0 0 1584 2136 4 MP PP -5 0 0 0 5 0 0 0 1584 2136 5 MP stroke 0 0 4 0 0 0 1590 2136 4 MP PP -4 0 0 0 4 0 0 0 1590 2136 5 MP stroke 0 0 5 0 0 0 1595 2136 4 MP PP -5 0 0 0 5 0 0 0 1595 2136 5 MP stroke 0 0 5 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operator abbreviations /c /clip ldef /cc /concat ldef /cp /closepath ldef /gr /grestore ldef /gs /gsave ldef /mt /moveto ldef /np /newpath ldef /cm /currentmatrix ldef /sm /setmatrix ldef /rc {rectclip} bdef /rf {rectfill} bdef /rm /rmoveto ldef /rl /rlineto ldef /s /show ldef /sc {setcmykcolor} bdef /sr /setrgbcolor ldef /sg /setgray ldef /w /setlinewidth ldef /j /setlinejoin ldef /cap /setlinecap ldef % page state control /pgsv () def /bpage {/pgsv save def} bdef /epage {pgsv restore} bdef /bplot /gsave ldef /eplot {stroke grestore} bdef % orientation switch /portraitMode 0 def /landscapeMode 1 def % coordinate system mappings /dpi2point 0 def % font control /FontSize 0 def /FMS { /FontSize xstore %save size off stack findfont [FontSize 0 0 FontSize neg 0 0] makefont setfont }bdef /reencode { exch dup where {pop load} {pop StandardEncoding} ifelse exch dup 3 1 roll findfont dup length dict begin { 1 index /FID ne {def}{pop pop} ifelse } forall /Encoding exch def currentdict end definefont pop } bdef /isroman { findfont /CharStrings get /Agrave known } bdef /FMSR { 3 1 roll 1 index dup isroman {reencode} {pop pop} ifelse exch FMS } bdef /csm { 1 dpi2point div -1 dpi2point div scale neg translate landscapeMode eq {90 rotate} if } bdef % line types: solid, dotted, dashed, dotdash /SO { [] 0 setdash } bdef /DO { [.5 dpi2point mul 4 dpi2point mul] 0 setdash } bdef /DA { [6 dpi2point mul] 0 setdash } bdef /DD { [.5 dpi2point mul 4 dpi2point mul 6 dpi2point mul 4 dpi2point mul] 0 setdash } bdef % macros for lines and objects /L { lineto stroke } bdef /MP { 3 1 roll moveto 1 sub {rlineto} repeat } bdef /AP { {rlineto} repeat } bdef /PP { closepath eofill } bdef /DP { closepath stroke } bdef /MR { 4 -2 roll moveto dup 0 exch rlineto exch 0 rlineto neg 0 exch rlineto closepath } bdef /FR { MR stroke } bdef /PR { MR fill } bdef /L1i { { currentfile picstr readhexstring pop } image } bdef /tMatrix matrix def /MakeOval { newpath tMatrix currentmatrix pop translate scale 0 0 1 0 360 arc tMatrix setmatrix } bdef /FO { MakeOval stroke } bdef /PO { MakeOval fill } bdef /PD { currentlinecap 1 setlinecap 3 1 roll 2 copy moveto lineto stroke setlinecap } bdef /FA { newpath tMatrix currentmatrix pop translate scale 0 0 1 5 -2 roll arc tMatrix setmatrix stroke } bdef /PA { newpath tMatrix currentmatrix pop translate 0 0 moveto scale 0 0 1 5 -2 roll arc closepath tMatrix setmatrix fill } bdef /FAn { newpath tMatrix currentmatrix pop translate scale 0 0 1 5 -2 roll arcn tMatrix setmatrix stroke } bdef /PAn { newpath tMatrix currentmatrix pop translate 0 0 moveto scale 0 0 1 5 -2 roll arcn closepath tMatrix setmatrix fill } bdef /vradius 0 def /hradius 0 def /lry 0 def /lrx 0 def /uly 0 def /ulx 0 def /rad 0 def /MRR { /vradius xdef /hradius xdef /lry xdef /lrx xdef /uly xdef /ulx xdef newpath tMatrix currentmatrix pop ulx hradius add uly vradius add translate hradius vradius scale 0 0 1 180 270 arc tMatrix setmatrix lrx hradius sub uly vradius add translate hradius vradius scale 0 0 1 270 360 arc tMatrix setmatrix lrx hradius sub lry vradius sub translate hradius vradius scale 0 0 1 0 90 arc tMatrix setmatrix ulx hradius add lry vradius sub translate hradius vradius scale 0 0 1 90 180 arc tMatrix setmatrix closepath } bdef /FRR { MRR stroke } bdef /PRR { MRR fill } bdef /MlrRR { /lry xdef /lrx xdef /uly xdef /ulx xdef /rad lry uly sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 90 270 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 270 90 arc tMatrix setmatrix closepath } bdef /FlrRR { MlrRR stroke } bdef /PlrRR { MlrRR fill } bdef /MtbRR { /lry xdef /lrx xdef /uly xdef /ulx xdef /rad lrx ulx sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 180 360 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 0 180 arc tMatrix setmatrix closepath } bdef /FtbRR { MtbRR stroke } bdef /PtbRR { 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L 3389 715 mt 3389 715 L 1540 352 mt 3389 352 L 3389 352 mt 3389 352 L SO 6 w 1540 2136 mt 3389 2136 L 1540 2136 mt 1540 180 L 1656 2136 mt 1656 2116 L %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 120 FMSR 1556 2282 mt (100) s 2233 2136 mt 2233 2116 L 2133 2282 mt (200) s 2811 2136 mt 2811 2116 L 2711 2282 mt (300) s 3389 2136 mt 3389 2116 L 3289 2282 mt (400) s 1540 1802 mt 1560 1802 L 1272 1846 mt (0.06) s 1540 1440 mt 1560 1440 L 1272 1484 mt (0.08) s 1540 1077 mt 1560 1077 L 1339 1121 mt (0.1) s 1540 715 mt 1560 715 L 1272 759 mt (0.12) s 1540 352 mt 1560 352 L 1272 396 mt (0.14) s gs 1540 180 1850 1957 MR c np DD 1849 0 1540 518 2 MP stroke DA 1849 0 1540 1165 2 MP stroke SO 7 2 7 4 8 5 7 6 7 6 7 9 8 8 7 8 7 6 7 8 7 7 8 6 7 3 7 -1 7 -1 8 -3 7 -7 7 -9 7 -11 7 -13 8 -17 7 -17 7 -17 7 -16 8 -14 7 -13 7 -10 7 -8 7 -6 8 -3 7 1 7 5 7 7 8 11 7 14 7 17 7 19 7 23 8 16 7 7 7 7 7 3 8 0 7 -2 7 -1 7 -3 7 -7 8 -8 7 -11 7 -9 7 -8 8 -8 7 -6 7 -2 7 1 7 4 8 4 7 9 7 12 7 15 8 18 7 15 7 11 7 2 7 0 8 -3 7 -2 7 -1 7 -1 8 0 7 -3 7 -6 7 -8 7 -4 8 -1 7 2 7 2 7 7 8 11 7 13 7 6 7 8 7 10 8 6 7 1 7 3 7 -5 8 -7 7 0 7 -4 7 -9 7 -8 8 -13 7 -15 7 -11 7 -8 8 -13 7 -12 7 -7 2674 553 100 MP stroke 7 -3 7 -2 8 -5 7 -3 7 7 7 10 8 20 7 19 7 17 7 6 7 -6 8 -25 7 -25 7 -22 7 -18 8 -11 7 -2 7 6 7 14 7 23 8 30 7 36 7 41 7 47 8 53 7 52 7 28 7 3 7 -18 8 -36 7 -45 7 -53 7 -54 8 -50 7 -43 7 -34 7 -19 8 -3 7 13 7 28 7 41 7 48 8 31 7 7 7 5 7 4 8 6 7 -9 7 -10 7 -11 7 -10 8 -4 7 -15 7 -12 7 -23 8 -24 7 -12 7 -15 7 -9 7 -7 8 15 7 20 7 23 7 24 8 36 7 37 7 17 7 -10 7 -8 8 -16 7 -11 7 8 7 -10 8 -32 7 -59 7 -39 7 -15 7 2 8 35 7 20 7 34 7 24 8 34 7 50 7 43 7 -7 7 -21 8 -46 7 -55 7 -75 7 -68 8 -49 7 -2 7 3 7 13 7 37 8 60 7 57 7 73 1959 454 100 MP stroke 7 19 8 -32 7 -91 7 -70 7 -35 7 10 8 9 7 85 7 118 7 110 8 40 7 -28 7 -146 7 -157 7 -136 8 -39 7 72 7 206 7 222 8 117 7 -44 7 -361 7 -588 7 -567 8 -361 7 -35 7 328 7 618 8 590 7 363 7 -23 7 -229 7 -217 8 -31 7 129 7 211 7 12 8 -102 7 -90 7 -20 7 67 7 125 8 -54 7 -116 7 -53 7 137 8 65 7 -67 7 -111 7 -48 7 99 8 157 7 -144 7 -14 7 -131 8 37 7 8 7 -5 1540 645 59 MP stroke gr 2180 85 mt (Sample #1) s 2384 2425 mt (ms) s 1 sg 0 1956 1848 0 0 -1956 3984 2136 4 MP PP -1848 0 0 1956 1848 0 0 -1956 3984 2136 5 MP stroke 4 w DO 0 sg 4100 2136 mt 4100 180 L 4100 180 mt 4100 180 L 4677 2136 mt 4677 180 L 4677 180 mt 4677 180 L 5255 2136 mt 5255 180 L 5255 180 mt 5255 180 L 5832 2136 mt 5832 180 L 5832 180 mt 5832 180 L 3984 1876 mt 5832 1876 L 5832 1876 mt 5832 1876 L 3984 1525 mt 5832 1525 L 5832 1525 mt 5832 1525 L 3984 1173 mt 5832 1173 L 5832 1173 mt 5832 1173 L 3984 822 mt 5832 822 L 5832 822 mt 5832 822 L 3984 470 mt 5832 470 L 5832 470 mt 5832 470 L SO 6 w 3984 2136 mt 5832 2136 L 3984 2136 mt 3984 180 L 4100 2136 mt 4100 2116 L 4000 2282 mt (100) s 4677 2136 mt 4677 2116 L 4577 2282 mt (200) s 5255 2136 mt 5255 2116 L 5155 2282 mt (300) s 5832 2136 mt 5832 2116 L 5732 2282 mt (400) s 3984 1876 mt 4004 1876 L 3783 1920 mt (0.1) s 3984 1525 mt 4004 1525 L 3716 1569 mt (0.11) s 3984 1173 mt 4004 1173 L 3716 1217 mt (0.12) s 3984 822 mt 4004 822 L 3716 866 mt (0.13) s 3984 470 mt 4004 470 L 3716 514 mt (0.14) s gs 3984 180 1849 1957 MR c np DD 1848 0 3984 845 2 MP stroke DA 1848 0 3984 1362 2 MP stroke SO 7 7 7 11 8 12 7 14 7 12 7 6 8 3 7 -4 7 -10 7 -10 7 -10 8 -10 7 -15 7 -13 7 -14 7 -13 8 -16 7 -12 7 -15 7 -18 8 -19 7 -16 7 -13 7 -9 7 -16 8 -15 7 -14 7 -14 7 -14 8 -12 7 -10 7 -6 7 -8 7 -3 8 1 7 5 7 2 7 5 8 7 7 3 7 3 7 4 7 1 8 5 7 5 7 7 7 12 7 3 8 1 7 5 7 13 7 16 8 19 7 21 7 19 7 8 7 8 8 8 7 13 7 11 7 16 8 22 7 25 7 33 7 21 7 24 8 28 7 32 7 23 7 16 8 18 7 16 7 6 7 7 7 9 8 13 7 -1 7 -14 7 -29 7 -38 8 -51 7 -53 7 -57 7 -49 8 -44 7 -34 7 -27 7 -21 7 -34 8 -19 7 -10 7 4 7 11 8 17 7 17 7 23 7 33 7 30 8 40 5117 856 100 MP stroke 7 56 7 65 7 65 8 50 7 33 7 9 7 5 7 -1 8 3 7 -7 7 -20 7 -30 7 -51 8 -47 7 -33 7 -49 7 -36 8 -30 7 -16 7 -4 7 5 7 1 8 -12 7 -11 7 -3 7 -18 8 -6 7 11 7 17 7 7 7 25 8 41 7 25 7 15 7 29 8 34 7 37 7 31 7 28 7 28 8 28 7 22 7 -6 7 -24 7 -49 8 -38 7 -40 7 -51 7 -45 8 -44 7 -31 7 -32 7 -23 7 -27 8 -26 7 -22 7 -11 7 -23 8 -11 7 29 7 84 7 54 7 29 8 -2 7 -8 7 17 7 34 8 19 7 28 7 16 7 -20 7 -31 8 27 7 46 7 36 7 16 7 10 8 -50 7 -33 7 6 7 -11 8 -45 7 -12 7 16 7 57 7 46 8 38 7 14 7 20 7 49 8 9 7 -38 7 -160 7 -165 7 -156 8 -223 7 -290 7 -234 7 -85 4403 1926 100 MP stroke 8 20 7 106 7 240 7 302 7 407 8 418 7 231 7 22 7 -203 7 -430 8 -451 7 -406 7 -311 7 -155 8 33 7 199 7 414 7 496 7 275 8 85 7 -21 7 9 7 -85 8 -45 7 -70 7 126 7 29 7 -127 8 -61 7 -66 7 -22 7 -63 8 132 7 117 7 -98 7 34 7 8 8 -20 7 47 7 -15 7 -21 7 -25 8 7 7 47 7 107 7 16 8 -45 7 -189 7 -19 7 -18 7 213 8 143 7 -255 7 -97 7 -250 8 75 7 92 7 266 3984 778 59 MP stroke gr 4623 85 mt (Sample #2) s 4827 2425 mt (ms) s 1 sg 0 1956 1849 0 0 -1956 6427 2136 4 MP PP -1849 0 0 1956 1849 0 0 -1956 6427 2136 5 MP stroke 4 w DO 0 sg 6543 2136 mt 6543 180 L 6543 180 mt 6543 180 L 7120 2136 mt 7120 180 L 7120 180 mt 7120 180 L 7698 2136 mt 7698 180 L 7698 180 mt 7698 180 L 8276 2136 mt 8276 180 L 8276 180 mt 8276 180 L 6427 2056 mt 8276 2056 L 8276 2056 mt 8276 2056 L 6427 1701 mt 8276 1701 L 8276 1701 mt 8276 1701 L 6427 1346 mt 8276 1346 L 8276 1346 mt 8276 1346 L 6427 991 mt 8276 991 L 8276 991 mt 8276 991 L 6427 636 mt 8276 636 L 8276 636 mt 8276 636 L 6427 281 mt 8276 281 L 8276 281 mt 8276 281 L SO 6 w 6427 2136 mt 8276 2136 L 6427 2136 mt 6427 180 L 6543 2136 mt 6543 2116 L 6443 2282 mt (100) s 7120 2136 mt 7120 2116 L 7020 2282 mt (200) s 7698 2136 mt 7698 2116 L 7598 2282 mt (300) s 8276 2136 mt 8276 2116 L 8176 2282 mt (400) s 6427 2056 mt 6447 2056 L 6159 2100 mt (0.09) s 6427 1701 mt 6447 1701 L 6226 1745 mt (0.1) s 6427 1346 mt 6447 1346 L 6159 1390 mt (0.11) s 6427 991 mt 6447 991 L 6159 1035 mt (0.12) s 6427 636 mt 6447 636 L 6159 680 mt (0.13) s 6427 281 mt 6447 281 L 6159 325 mt (0.14) s gs 6427 180 1850 1957 MR c np DD 1849 0 6427 597 2 MP stroke DA 1849 0 6427 1213 2 MP stroke SO 7 -1 7 1 8 1 7 3 7 4 7 7 8 10 7 11 7 7 7 7 7 5 8 3 7 -2 7 -1 7 0 8 -1 7 2 7 6 7 9 7 13 8 13 7 16 7 17 7 21 8 23 7 17 7 19 7 20 7 18 8 17 7 11 7 5 7 -11 8 -6 7 -2 7 -12 7 -24 7 -27 8 -22 7 -23 7 -38 7 -31 8 -35 7 -31 7 -28 7 -25 7 -20 8 -12 7 -18 7 -16 7 -14 8 -9 7 -12 7 -18 7 -15 7 -10 8 -8 7 -2 7 5 7 12 8 13 7 22 7 31 7 39 7 34 8 28 7 25 7 19 7 9 8 10 7 -1 7 -8 7 -17 7 -17 8 -17 7 -9 7 -9 7 -9 8 -9 7 -3 7 -22 7 -14 7 -15 8 -10 7 -4 7 0 7 6 8 -1 7 -15 7 -6 7 -2 7 -4 8 -1 7 7 7 11 7 13 8 -5 7 -2 7 -4 7561 645 100 MP stroke 7 -7 7 -5 8 -7 7 -19 7 0 7 9 8 30 7 47 7 55 7 62 7 66 8 58 7 46 7 19 7 -10 8 -44 7 -53 7 -62 7 -55 7 -53 8 -38 7 -32 7 -21 7 -26 8 -47 7 -59 7 -40 7 -45 7 -37 8 -26 7 -2 7 20 7 34 8 32 7 31 7 37 7 30 8 21 7 36 7 49 7 48 7 55 8 64 7 55 7 26 7 16 8 -4 7 -11 7 -38 7 -35 7 -48 8 -66 7 -34 7 -55 7 -39 8 -29 7 -9 7 20 7 53 7 80 8 81 7 49 7 47 7 17 8 21 7 -10 7 -42 7 -52 7 -91 8 -128 7 -191 7 -251 7 -227 8 -194 7 -144 7 -108 7 -76 7 -69 8 -10 7 9 7 60 7 131 8 216 7 244 7 293 7 319 7 230 8 103 7 21 7 -14 7 -57 8 -23 7 -30 7 -16 7 -66 7 -78 8 -23 7 25 7 82 6846 554 100 MP stroke 7 64 8 33 7 -10 7 -90 7 -52 7 33 8 32 7 -11 7 -56 7 35 8 -2 7 -61 7 -27 7 -17 7 5 8 -39 7 -29 7 36 7 103 8 81 7 -88 7 29 7 32 7 57 8 -29 7 -8 7 -107 7 -62 8 -85 7 64 7 139 7 32 7 -135 8 -161 7 -224 7 -40 7 179 8 129 7 140 7 -99 7 -174 7 -76 8 138 7 209 7 -8 7 102 8 208 7 -65 7 -596 7 -970 7 -141 8 1048 7 908 7 -439 7 -328 8 294 7 153 7 -566 6427 1066 59 MP stroke gr 7067 85 mt (Sample #3) s 7271 2425 mt (ms) s 1 sg 0 1956 1849 0 0 -1956 8871 2136 4 MP PP -1849 0 0 1956 1849 0 0 -1956 8871 2136 5 MP stroke 4 w DO 0 sg 8987 2136 mt 8987 180 L 8987 180 mt 8987 180 L 9564 2136 mt 9564 180 L 9564 180 mt 9564 180 L 10142 2136 mt 10142 180 L 10142 180 mt 10142 180 L 10720 2136 mt 10720 180 L 10720 180 mt 10720 180 L 8871 2020 mt 10720 2020 L 10720 2020 mt 10720 2020 L 8871 1150 mt 10720 1150 L 10720 1150 mt 10720 1150 L 8871 279 mt 10720 279 L 10720 279 mt 10720 279 L SO 6 w 8871 2136 mt 10720 2136 L 8871 2136 mt 8871 180 L 8987 2136 mt 8987 2116 L 8887 2282 mt (100) s 9564 2136 mt 9564 2116 L 9464 2282 mt (200) s 10142 2136 mt 10142 2116 L 10042 2282 mt (300) s 10720 2136 mt 10720 2116 L 10620 2282 mt (400) s 8871 2020 mt 8891 2020 L 8603 2064 mt (0.05) s 8871 1150 mt 8891 1150 L 8670 1194 mt (0.1) s 8871 279 mt 8891 279 L 8603 323 mt (0.15) s gs 8871 180 1850 1957 MR c np DD 1849 0 8871 603 2 MP stroke DA 1849 0 8871 1216 2 MP stroke SO 7 2 7 4 8 4 7 4 7 5 7 6 8 7 7 8 7 9 7 0 7 -1 8 -2 7 -5 7 -5 7 -5 8 -3 7 -8 7 -12 7 -13 7 -13 8 -14 7 -14 7 -12 7 -9 8 -11 7 -9 7 -9 7 -5 7 -6 8 -6 7 -4 7 -2 7 -2 8 -2 7 -3 7 -2 7 -3 7 0 8 0 7 2 7 0 7 2 8 6 7 7 7 8 7 7 7 7 8 8 7 4 7 5 7 8 8 10 7 8 7 6 7 -5 7 -10 8 -11 7 -10 7 -9 7 -7 8 -9 7 -6 7 -1 7 1 7 -1 8 2 7 4 7 6 7 8 8 12 7 15 7 19 7 17 7 21 8 24 7 28 7 30 7 30 8 11 7 4 7 -1 7 1 7 2 8 -1 7 -14 7 -18 7 -24 8 -29 7 -38 7 -30 7 -24 7 -19 8 -15 7 -11 7 -5 7 0 8 7 7 16 7 20 10005 597 100 MP stroke 7 27 7 32 8 37 7 20 7 7 7 4 8 7 7 10 7 2 7 -9 7 -15 8 -18 7 -24 7 -25 7 -24 8 -20 7 -18 7 -18 7 -11 7 -6 8 -4 7 3 7 15 7 -3 8 -10 7 -14 7 2 7 11 7 9 8 6 7 9 7 14 7 26 8 26 7 35 7 42 7 35 8 -10 7 -19 7 -25 7 -29 7 -34 8 -22 7 -29 7 -26 7 -16 8 -3 7 -11 7 -24 7 -16 7 -9 8 4 7 27 7 27 7 19 8 18 7 30 7 34 7 29 7 28 8 36 7 5 7 -29 7 -33 8 -36 7 -41 7 -18 7 -26 7 -26 8 -18 7 -16 7 -4 7 16 8 32 7 36 7 47 7 19 7 19 8 46 7 33 7 -42 7 -93 8 -83 7 -73 7 -46 7 -22 7 -8 8 20 7 84 7 131 7 142 8 120 7 130 7 12 7 -78 7 -210 8 -338 7 -366 7 -348 9290 1520 100 MP stroke 7 -301 8 -221 7 -94 7 41 7 172 7 310 8 404 7 407 7 258 7 168 8 3 7 -99 7 -182 7 -105 7 -15 8 59 7 87 7 166 7 32 8 -56 7 -54 7 -68 7 -83 7 -16 8 29 7 107 7 33 7 -56 8 -107 7 -45 7 -2 7 38 7 112 8 28 7 -4 7 -119 7 -13 8 13 7 64 7 -35 7 -39 7 -42 8 49 7 111 7 13 7 -108 8 -30 7 27 7 163 7 -16 7 -56 8 -4 7 7 7 45 7 -115 8 62 7 -71 7 -37 8871 705 59 MP stroke gr 9511 85 mt (Sample #4) s 9715 2425 mt (ms) s end eplot %%EndObject epage end showpage %%Trailer %%EOF %%EndDocument @endspecial 392 x(Figure)55 b(2:)78 b(Remainder)55 b(error)g (functions)f(of)i(the)f(e)m(xample)h(signals)f(at)g Fk(t)71 b Fh(=)g(10)45 b Fq(s.)90 b(The)56 b(medians)f(and)h(the)g(thresholds)e (of)i(the)-372 4419 y(remainder)44 b(error)f(functions)g(are)i(also)f (sho)-5 b(wn.)-372 4936 y(minimum)335 4870 y Fo(3)445 4936 y Fq(belo)g(w)34 b(the)g(threshold)e(is)i(pick)n(ed)f(as)h(the)g (quantum)g Fk(q)7 b Fq(:)-220 5353 y Fk(q)57 b Fh(=)51 b(max)244 5462 y Fj(p)479 5353 y Fi(f)p Fk(p)f Fh(:)80 b Fk(e)p Fh(\()p Fk(p)p Fh(\))49 b Fk(<)i(e)1488 5383 y Fj(th)1669 5353 y Fi(^)40 b Fk(e)p Fh(\()p Fk(p)p Fh(\))k Fq(local)g(minimum)q Fi(g)3270 5681 y Fq(\(12\))-372 6173 y Fr(2.2.)110 b(Quantum)46 b(phase)f(estimation)-372 6528 y Fq(The)60 b(quantum)g(phase,)k(i.e.)102 b(the)59 b(e)m(xact)h(points)f(of)h(the)g(met-)-372 6753 y(rical)67 b(grid,)74 b(is)68 b(decided)f(after)g(the)h(quantum)h(duration)e(has) -372 6979 y(been)58 b(computed.)94 b(The)58 b(quantum)g(positions)e (are)i(based)f(on)-372 7205 y(the)70 b(quantum)g(duration)e(b)l(ut)j (are)e(incrementally)f(adjusted)-372 7431 y(to)-5 b(w)n(ards)59 b(onsets.)100 b(The)60 b(metrical)e(grid)h(points)g(within)g(each)-372 7657 y(frame)39 b(are)h(spaced)f(by)h(the)f(quantum)h(duration)e Fk(q)47 b Fq(with)40 b(some)-372 7883 y(adjustments.)51 b(The)36 b(adjustments)e(are)i(done)f(to)-5 b(w)n(ards)36 b(onsets,)-372 8108 y(since)f(by)h(assumption)f(all)g(the)h(observ)m (ed)f(onsets)g(are)h(aligned)-372 8334 y(on)45 b(the)g(metrical)e (grid.)-90 8563 y(Initially)-12 b(,)34 b(when)h(processing)d(starts,)j (the)f(quantum)g(phase)-372 8789 y(is)40 b(probably)f(out)g(of)h (alignment)f(with)h(respect)e(to)i(the)g(onsets.)-372 9015 y(The)54 b(metrical)e(grid)h(will)g(gradually)f(become)i(aligned)f (with)-372 9240 y(the)35 b(onsets)g(as)g(the)g(adjustments)f(cumulate,) i(controlled)e(with)-372 9466 y(a)45 b(coef)-5 b(\002cient)44 b Fk(\014)10 b Fq(.)-90 9695 y(The)64 b(quantum)f(phase)g(\227)h(the)f (points)g(of)g(the)g(metrical)-372 9921 y(grid)47 b(\227)g(are)g (indicated)e(by)j Fk(')g Fq([ms].)63 b(At)48 b(the)f(be)m(ginning)f(of) h(a)-372 10147 y(frame)h Fk(')g Fq(is)g(initialized)d(to)k(the)f(of)-5 b(fset)47 b(of)h(the)g(\002rst)g(quantum)p -372 10320 1578 7 v -161 10431 a Fn(3)-103 10495 y Fl(In)j(the)g(actual)h (implementation)d Fb(e)p Fa(\()p Fb(q)5 b Fa(\))52 b Fl(is)f(a)h(discrete)f(function)f(and)-372 10677 y(thus)36 b(the)h(local)g(minima)g(are)h(straightforw)o(ard)c(to)j(locate.)3951 4936 y Fq(according)43 b(to)i(quantum)g(`carry')e(v)-5 b(ariable)43 b Fk(\015)10 b Fq(:)5621 5365 y Fk(')51 b Fh(=)g Fk(\015)10 b(q)d(:)1367 b Fq(\(13\))3951 5794 y(The)69 b Fk(\015)81 b Fq(v)-5 b(ariable)68 b(is)h(used)g(to)g(carry)g (quantum)g(o)m(v)m(erlap)g(in-)3951 6019 y(formation)43 b(between)i(frames.)4233 6252 y(Unless)34 b(there)f(are)g(onsets,)j (there)d(is)h(no)g(adjustment)f(done)3951 6478 y(and)51 b(the)f(quantum)h(positions)e(are)h(spaced)g(by)h(the)f(quantum)3951 6704 y(duration)57 b Fk(q)7 b Fq(;)66 b(the)59 b(unadjusted)e(quantum)i (position)e(is)i(there-)3951 6929 y(fore)5509 7358 y Fh(^)-120 b Fk(')5599 7283 y Fe(0)5696 7358 y Fh(=)51 b Fk(')40 b Fh(+)h Fk(q)7 b(:)1225 b Fq(\(14\))4233 7794 y(When)34 b(there)f(are)g(onsets,)j(the)e(quantums)f(are)h(positioned) 3951 8020 y(at)58 b(each)f(adjusted)g(quantum)h(position)e Fk(')6655 7954 y Fe(0)6702 8020 y Fq(;)64 b(the)58 b(adjustment)3951 8245 y(is)45 b(done)f(according)g(to)h(each)f(onset:)3951 8776 y Fk(')4070 8701 y Fe(0)4167 8776 y Fh(=)4359 8519 y Ff(\032)4607 8662 y Fh(^)-120 b Fk(')4697 8596 y Fe(0)4784 8662 y Fh(+)41 b Fk(\014)10 b Fh(\()p Fk(o)5238 8689 y Fj(i)5334 8662 y Fi(\000)70 b Fh(^)-120 b Fk(')5635 8596 y Fe(0)5681 8662 y Fh(\))166 b Fq(if)45 b Fi(9)p Fk(i)50 b Fh(:)109 b(^)-120 b Fk(')6539 8596 y Fe(0)6626 8662 y Fi(\000)6829 8580 y Fj(q)p 6828 8621 71 8 v 6828 8725 a Fg(2)6969 8662 y Fi(\024)51 b Fk(o)7249 8689 y Fj(i)7356 8662 y Fi(\024)80 b Fh(^)-120 b Fk(')7667 8596 y Fe(0)7753 8662 y Fh(+)7957 8580 y Fj(q)p 7955 8621 V 7955 8725 a Fg(2)4607 8888 y Fh(^)g Fk(')4697 8822 y Fe(0)5918 8888 y Fq(otherwise)7623 9131 y(\(15\))3951 9541 y(The)69 b(equations)e(\(14\))h(and)h(\(15\))f(are)h(applied)e (repetiti)-5 b(v)m(ely)-12 b(,)3951 9767 y(placing)35 b(a)h(grid)g(point)g(at)g(e)-5 b(v)m(ery)36 b Fk(')6101 9701 y Fe(0)6184 9767 y Fq(and)g(substituting)e Fk(')50 b Fh(=)h Fk(')7849 9701 y Fe(0)3951 9993 y Fq(between)f(repetitions,)h (while)f Fk(')62 b Fi(\024)h Fh(500)45 b Fq(ms.)76 b(The)51 b(metrical)3951 10219 y(grid)44 b(points)g(are)h(assigned)e(this)h(w)n (ay)-12 b(.)4233 10451 y(After)33 b(deciding)g(the)h(points)f(of)h(the) g(metrical)e(grid)h(within)3951 10677 y(the)54 b(frame,)j(the)d(carry)g (v)-5 b(ariable)53 b Fk(\015)65 b Fq(is)54 b(updated)g(in)h(anticipa-)p eop %%Page: 5 5 5 4 bop -372 183 a Fq(tion)44 b(for)h(the)f(forthcoming)g(frame:)815 676 y Fk(\015)61 b Fh(=)51 b(1)40 b Fi(\000)1495 553 y Fh(500)45 b Fq(ms)40 b Fi(\000)h Fk(')p 1495 634 872 8 v 1886 801 a(q)3270 676 y Fq(\(16\))1028 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b(1996,)f(pp.)4254 4466 y(103\226110.)3951 4841 y([4])j(Leigh)65 b(M.)h(Smith,)137 b(\223Modelling)63 b(rh)o(ythm)i(perception)4254 5067 y(by)55 b(continuous)f(time-frequenc)m(y)e(analysis,)-13 b(\224)99 b(in)55 b Fp(Pr)-8 b(oc.)4254 5293 y(ICMC)p Fq(,)46 b(Hong)g(K)-6 b(ong,)45 b(1996.)3951 5668 y([5])90 b(Eric)75 b(D.)j(Scheirer)-7 b(,)171 b(\223T)-13 b(empo)76 b(and)g(beat)g(analysis)e(of)4254 5894 y(acoustic)36 b(musical)h(signals,)-13 b(\224)51 b Fp(J)-5 b(.)39 b(Acoust.)f(Soc.)g (Am.)p Fq(,)k(v)l(ol.)4254 6120 y(103,)j(no.)h(1,)g(pp.)g(588\226601,)f (Jan.)g(1998.)3951 6495 y([6])90 b(Jef)-5 b(fre)m(y)44 b(A.)i(Bilmes,)66 b(\223T)-6 b(iming)45 b(is)g(of)g(the)g(essence:)54 b(Per)l(-)4254 6721 y(ceptual)62 b(and)h(computational)f(techniques)f (for)i(repres-)4254 6947 y(enting,)e(learning,)f(and)e(reproducing)e(e) m(xpressi)-5 b(v)m(e)57 b(tim-)4254 7173 y(ing)h(in)h(percussi)-5 b(v)m(e)57 b(rh)o(ythm,)-13 b(\224)112 b(Master')-10 b(s)56 b(thesis,)61 b(Mas-)4254 7398 y(sachusetts)42 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