diff --git a/content/SMHD.typ b/content/SMHD.typ index 44581be..da9ed9d 100644 --- a/content/SMHD.typ +++ b/content/SMHD.typ @@ -344,14 +344,23 @@ The here proposed S-Metric Helper Data Method can be improved by using gray code @fig:2-bit-gray shows a 2-bit quantizer with gray coded labelling. In this example, we have an advantage at $tilde(x) = ~ 0.5$, because a quantization error only returns one wrong bit instead of two. -== Experiments +== Experiments & Results We tested the implementation of @sect:smhd_implementation with the temperature dataset of @dataset. +The dataset contains counts of positives edges of a toggle flip flop at a set evaluation time $D$. Based on the count and the evaluation time, the frequency of a ring oscillator can be calculated using: $f = 2 dot frac(k, D)$. +Because we want to analyze the performance of the S-Metric method over different temperatures, both during enrollment and reconstruction, we are limited to the second part of the experimental measurements of @dataset. +We will have measurements of $50$ FPGA boards available with $1600$ and $1696$ ring oscillators each. To obtain the values to be processed, we subtract them in pairs, yielding $800$ and $848$ ring oscillator frequency differences _df_.\ +Since the frequencies _f_ are normal distributed, the difference _df_ can be assumed to be zero-mean Gaussian distributed. +To apply the values _df_ to our implementation of the S-Metric method, we will first transform them into the Tilde-Domain using an inverse CDF, resulting in uniform distributed values $tilde(italic("df"))$. -=== Methodology - - - -== Discussion +=== General Interpretation + +The bit error rate of different S-Metric configurations for naive labelling can be seen in @fig:global_errorrates. +For this analysis, enrollment and reconstruction were both performed at room temperature and the quantizer was naively labelled. + +#figure( + image("../graphics/25_25_all_error_rates.svg", width: 95%), + caption: [Bit error rates for same temperature execution] +) diff --git a/graphics/25_25_all_error_rates.svg 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