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 2fadeff..303824f 100644 Binary files a/main.pdf and b/main.pdf differ 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"