From 4346630b65ae5c84d1c94aa137d11e313c883b57 Mon Sep 17 00:00:00 2001 From: Marius Drechsler Date: Sun, 28 Jul 2024 19:03:18 +0200 Subject: [PATCH] More on analysis --- content/BACH.typ | 3 + content/SMHD.typ | 19 +- .../reconstruction/errorrates_left_25_15.csv | 99 +++ .../reconstruction/errorrates_left_25_25.csv | 694 +++--------------- .../reconstruction/errorrates_left_25_35.csv | 694 +++--------------- .../reconstruction/errorrates_left_25_45.csv | 99 +++ .../reconstruction/errorrates_left_25_5.csv | 694 +++--------------- .../reconstruction/errorrates_left_25_55.csv | 694 +++--------------- graphics/plots/temperature/25_5_re.typ | 45 ++ main.pdf | Bin 742404 -> 853581 bytes main.typ | 1 + 11 files changed, 657 insertions(+), 2385 deletions(-) create mode 100644 content/BACH.typ create mode 100644 data/errorrates/2bit_temp/reconstruction/errorrates_left_25_15.csv create mode 100644 data/errorrates/2bit_temp/reconstruction/errorrates_left_25_45.csv create mode 100644 graphics/plots/temperature/25_5_re.typ diff --git a/content/BACH.typ b/content/BACH.typ new file mode 100644 index 0000000..dd47a4c --- /dev/null +++ b/content/BACH.typ @@ -0,0 +1,3 @@ += Boundary Adaptive Clustering with Helper Data + + diff --git a/content/SMHD.typ b/content/SMHD.typ index 3c591c5..08820ed 100644 --- a/content/SMHD.typ +++ b/content/SMHD.typ @@ -332,7 +332,7 @@ lim_(s arrow.r infinity) phi_"max,odd" &= frac(s-1, 2^n dot s dot 4) # The here proposed S-Metric Helper Data Method can be improved by using gray coded labels for the quantized symbols instead of naive ones @smhd. #align(center)[ @@ -391,14 +391,23 @@ From $m >= 6$ onwards, $(x_"1" (m)) / (x_"100" (m))$ approaches $~1$, which mean === Impact of temperature -Usually we will perform enrollment at room temperature. -We will now take a look at the impact of changing the temperature both during the enrollment and the reconstruction phase. +We will now take a look at the impact on the error rates of changing the temperature both during the enrollment and the reconstruction phase. -==== Different reconstruction temperature +The most common case to look at, is if we consider a fixed temperature during enrollment, most likely $25°C$. +Since we wont always be able to recreate lab-like conditions during the reconstruction phase, it makes sense to look at the error rates at which reconstruction was performed at different temperatures. +#figure( + include("../graphics/plots/temperature/25_5_re.typ"), + caption: [Reconstruction at different temperatures] +) + +@fig:smhd_tmp_reconstruction shows the results of this experiment conducted with a 2-bit configuration.\ +As we can see, the further we move away from the temperature of enrollment, the higher the bit error rates turns out to be. + +// Table here with BER without helper data and with 100 metrics for best improvement case. Talk about improvements in numerical parts -==== Different enrollment temperature === Gray coding +In @sect:smhd_improvements, we discussed how a gray coded labelling for the quantizer could improve the bit error rates of the S-Metric method. diff --git a/data/errorrates/2bit_temp/reconstruction/errorrates_left_25_15.csv b/data/errorrates/2bit_temp/reconstruction/errorrates_left_25_15.csv new file mode 100644 index 0000000..04dc065 --- /dev/null +++ b/data/errorrates/2bit_temp/reconstruction/errorrates_left_25_15.csv @@ -0,0 +1,99 @@ +1,0.03763675 +2,0.001426625 +3,0.00039975 +4,0.000253375 +5,0.000154125 +6,0.000142125 +7,0.000129125 +8,0.000120125 +9,0.0000895 +10,0.000092125 +11,0.0000795 +12,0.000099625 +13,0.00008025 +14,0.000089625 +15,0.000071 +16,0.00008975 +17,0.000094375 +18,0.000085375 +19,0.000085125 +20,0.000079625 +21,0.00008725 +22,0.000076 +23,0.000090625 +24,0.000081125 +25,0.0000815 +26,0.0000745 +27,0.00008475 +28,0.0000845 +29,0.0000775 +30,0.000076125 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a/graphics/plots/temperature/25_5_re.typ b/graphics/plots/temperature/25_5_re.typ new file mode 100644 index 0000000..6c64ccb --- /dev/null +++ b/graphics/plots/temperature/25_5_re.typ @@ -0,0 +1,45 @@ +#import "@preview/cetz:0.2.2": canvas, plot + +#let data5 = csv("../../../data/errorrates/2bit_temp/reconstruction/errorrates_left_25_5.csv") +#let ndata5 = data5.map(value => value.map(v => calc.log(float(v))))// fucking hell is that cursed + +#let data25 = csv("../../../data/errorrates/2bit_temp/reconstruction/errorrates_left_25_25.csv") +#let ndata25 = data25.map(value => value.map(v => calc.log(float(v)))) + +#let data35 = csv("../../../data/errorrates/2bit_temp/reconstruction/errorrates_left_25_35.csv") +#let ndata35 = data35.map(value => value.map(v => calc.log(float(v)))) + +#let data55 = csv("../../../data/errorrates/2bit_temp/reconstruction/errorrates_left_25_55.csv") +#let ndata55 = data55.map(value => value.map(v => calc.log(float(v)))) + +#let data15 = csv("../../../data/errorrates/2bit_temp/reconstruction/errorrates_left_25_15.csv") +#let ndata15 = data15.map(value => value.map(v => calc.log(float(v)))) + +#let data45 = csv("../../../data/errorrates/2bit_temp/reconstruction/errorrates_left_25_45.csv") +#let ndata45 = data45.map(value => value.map(v => calc.log(float(v)))) + +#let formatter(v) = [$10^#v$] + +#let dashed = (stroke: (dash: "dashed")) +#canvas({ + plot.plot(size: (10,5), + x-tick-step: none, + //x-ticks: ((1, [1]), (2, [2]), (3, [3]), (4, [4]), (5, [5]), (6, [6])), + y-label: $"Bit error rate"$, + x-label: $s$, + y-tick-step: 1, + //y-ticks : ( + // (-1.5, calc.exp(-1.5)), + //), + y-max: -1, + y-format: formatter, + axis-style: "left", + { + plot.add((ndata5), line: "spline", label: $5°C$) + plot.add((ndata25), line: "spline", label: $25°C$) + plot.add((ndata15), line: "spline", label: $15°C$) + plot.add((ndata35), line: "spline", label: $35°C$) + plot.add((ndata45), line: "spline", label: $45°C$) + plot.add((ndata55), line: "spline", label: $55°C$, style: (stroke: (paint: teal))) + }) +}) diff --git a/main.pdf b/main.pdf index 2fadeffef8485f33b97d7332570e87d93bd2f1ce..303824f799d9bbc4cb986deedf6c31979ec5dc3d 100644 GIT binary patch delta 340314 zcmZo!p?kK+gikfV#ZA{x&zwuOp`oE+@&sn-$#26HCjL>Ln4=|Tp-?qLF!~CA7)-7Vr&R9kju`FD>W}AKPiig%h+K0hAEuln`f~!ure7NPCl?+ zbh9DX5}(QGQ4%1ButkN21-eE~o*N}KSvOou!x&@$x{FLff+(gMPyg7#tO9cvvLScF zvlvalZk)WEQDAasgc76W<~0$!87GS;@=ec=hPW1?W2vwihUumtH;XY^Zp~+8WMVQk zpPV0?y7^J8DKn!P$O9~9h6aYy4Yion>NzWBA1{6I$DX60zlS<-b7S@JIOHDfGoG4qgWRtXdUQ+nB$0~irC2LbAuhCK6Xnu29=l0ww zCTCZM+*@*T+0AW*v(w7&Mm*W~Jxz{JZra_mb-RCGZK!*gnD%d``TKe1pPQY8okTh| zA5!V7?|<`otNn+Sa|<c3A){>-c9PqAgaf1Yb%q@ifNB=?-ZZ=Tq53jSCiu&n9j z0o%>XjvMQ93f8dQk~VI9Il;dA^7aS6ueW~4o7;Qj(X@qU^tnD3aBlg2&dquA&dT^- zI|TZ38ouop+4b%EFY(sMlo!uSXH31JXTR0jb@w&hmU*+ME_|%b+*V(<-C!H%*IOG) zuXh-@{L3%>d-Ui0j`g$a_i5H~s8sO0F4_D~>58Nh^S&8RQmY~}N*43(V_fpQ)8}pK zk9qoaYqRpcUV3&*%m5% z-O7*33fnET-iaJPQh4CM=f}j4f*%b(9)Gm?(WW1hek}U2slw4l|KH*tt9}T7oPXr{ 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UC^e1C+|bm*!kkN0)z#k(0C9A)t^fc4 diff --git a/main.typ b/main.typ index 5ff3e81..6d8154a 100644 --- a/main.typ +++ b/main.typ @@ -31,6 +31,7 @@ #include "content/introduction.typ" #include "content/SMHD.typ" +#include "content/BACH.typ" //#include "content/state.typ" //#include "content/implementation.typ" //#include "content/benchmarks.typ"