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@@ -26,9 +26,8 @@ The first one (C1 in the figure) is placed at the power management system as vol
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Also, the computing system has its own decoupling capacitor (C2) to stabilize operating voltage.
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Also, the computing system has its own decoupling capacitor (C2) to stabilize operating voltage.
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Recent studies increasingly explore 32-bit architectures for the computing system~\cite{shihIntermittent2024,wuIntOS2024,kimRapid2024,akhunovEnabling2023,kimLACT2024,kimLivenessAware2023,parkEnergyHarvestingAware2023,kortbeekWARio2022,khanDaCapo2023,barjamiIntermittent2024,songTaDA2024}, as emerging applications on intermittent systems, such as Deep Neural Networks (DNNs)~\cite{houTale2024,yenKeep2023,khanDaCapo2023,gobieskiIntelligence2019,islamEnabling2022,kangMore2022,leeNeuro2019,islamZygarde2020,custodeFastInf2024,barjamiIntermittent2024,songTaDA2024}, demand greater computational capabilities~\cite{bakarProtean2023a,carontiFinegrained2023}.
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Recent studies increasingly explore 32-bit architectures for the computing system~\cite{shihIntermittent2024,wuIntOS2024,kimRapid2024,akhunovEnabling2023,kimLACT2024,kimLivenessAware2023,parkEnergyHarvestingAware2023,kortbeekWARio2022,khanDaCapo2023,barjamiIntermittent2024,songTaDA2024}, as emerging applications on intermittent systems, such as Deep Neural Networks (DNNs)~\cite{houTale2024,yenKeep2023,khanDaCapo2023,gobieskiIntelligence2019,islamEnabling2022,kangMore2022,leeNeuro2019,islamZygarde2020,custodeFastInf2024,barjamiIntermittent2024,songTaDA2024}, demand greater computational capabilities~\cite{bakarProtean2023a,carontiFinegrained2023}.
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-% Emerging intermittent applications demand increasing computing capability~\cite{bakarProtean2023a} due to computat
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-In this context, we employ a custom-built board featuring a 32-bit ARM Cortex-M33 processor (operating at 16Mhz) with 1MB of Ferroelectric RAM (FRAM, Infineon FM22L16) as a reference system.
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-A TI BQ25570 based board is used for the power management system.
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+In this context, we employ a custom-built board featuring a 32-bit ARM Cortex-M33 processor (STM32L5, operating at 16Mhz) with 512KB of Ferroelectric RAM (FRAM) as a reference system.
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+A TI BQ25570 based board is used for the power management system, with power-on and off thresholds of 4.9V and 3.4V, respectively.
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We empirically select 22uF and 220uF capacitors for C1 and C2, respectively, as these are the minimum capacitor sizes for stable checkpoint and recovery.
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We empirically select 22uF and 220uF capacitors for C1 and C2, respectively, as these are the minimum capacitor sizes for stable checkpoint and recovery.
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Sec.~\ref{sec:other_architectures} evaluates generality of our model in different architectures, such as systems with Magnetic RAM (MRAM) and a 16-bit core (e.g., MSP430).
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Sec.~\ref{sec:other_architectures} evaluates generality of our model in different architectures, such as systems with Magnetic RAM (MRAM) and a 16-bit core (e.g., MSP430).
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@@ -83,11 +82,11 @@ Among them, we highlight three key observations that affect software designer's
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% As we discuss in the following sections, all three observations significantly impact the performance of intermittent system designs.
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% As we discuss in the following sections, all three observations significantly impact the performance of intermittent system designs.
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% We propose a detailed execution model which reflects these observations.
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% We propose a detailed execution model which reflects these observations.
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-Fig.~\ref{fig:detailed_execution_model} shows our detailed execution model, which reflects all the key observations.
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+Fig.~\ref{fig:detailed_execution_model} shows our detailed execution model, which reflects these key observations.
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When the capacitor voltage reaches the power-on threshold, the voltage experience quick drop due to the buffering effects (\circled{1}), instead of gradual reduction.
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When the capacitor voltage reaches the power-on threshold, the voltage experience quick drop due to the buffering effects (\circled{1}), instead of gradual reduction.
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After initialization (\circled{2}), the system starts to execute at normal voltage (\circled{3}), 3.3V for example.
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After initialization (\circled{2}), the system starts to execute at normal voltage (\circled{3}), 3.3V for example.
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When the voltage hits the power-off threshold, the power supply stops but system now starts to execute using the buffered energy (\circled{4}).
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When the voltage hits the power-off threshold, the power supply stops but system now starts to execute using the buffered energy (\circled{4}).
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-Since voltage of the decoupling capacitor decreases as it discharges, the system executes at sub-normal voltage until it reaches the voltage it cannot operate (e.g., 1.7V).
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+Since voltage of the decoupling capacitor decreases as it discharges, the system executes at sub-normal voltage until it reaches the voltage it cannot operate (e.g., 2.5V).
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% This voltage is known as Brown-Out Reset (BOR) voltage and is typically in a range of 1.7V to 2.5V in modern MCUs~\cite{}.
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% This voltage is known as Brown-Out Reset (BOR) voltage and is typically in a range of 1.7V to 2.5V in modern MCUs~\cite{}.
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Finally, until the next power-on, the remaining energy in decoupling capacitors continues to discharge (\circled{5}).
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Finally, until the next power-on, the remaining energy in decoupling capacitors continues to discharge (\circled{5}).
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@@ -97,7 +96,7 @@ In the following sections, we discuss the impact of this model to software desig
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\subsection{Impact on Power Efficiency}
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\subsection{Impact on Power Efficiency}
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\label{sec:power_efficiency}
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\label{sec:power_efficiency}
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-The traditional model implies that the energy consumed between power-on and power-off thresholds are entirely used for the computing system.
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+The traditional model implies that the energy consumed between power-on and power-off thresholds are entirely used in the computing system.
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However, our model reveals that considerable energy is used for charging the decoupling capacitors (\textbf{O1}) and dissipated during power-off durations (\textbf{O3}).
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However, our model reveals that considerable energy is used for charging the decoupling capacitors (\textbf{O1}) and dissipated during power-off durations (\textbf{O3}).
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This implies that much smaller energy may be used for the useful computation compared to the designer's expectation.
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This implies that much smaller energy may be used for the useful computation compared to the designer's expectation.
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@@ -108,15 +107,14 @@ This implies that much smaller energy may be used for the useful computation com
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\label{fig:power_distribution}
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\label{fig:power_distribution}
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\end{figure}
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\end{figure}
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-Fig.~\ref{fig:power_distribution} shows the distribution of the energy consumed for each stage of operation within one power cycle, averaged over 50 executions.
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-An 1mA of input current is provided at 1.9V.
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+Fig.~\ref{fig:power_distribution} shows the distribution of the energy consumed for each stage of operation within one power cycle, averaged over 50 executions, where 1mA of input current is provided at 1.9V.
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The x-axis represents different capacitor sizes and the line in the secondary axis represents the average operation times for application code.
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The x-axis represents different capacitor sizes and the line in the secondary axis represents the average operation times for application code.
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The checkpoint is executed by the interrupt from the power management system~\cite{}, which is generated when the capacitor voltage reaches the power-off threshold (3.4V).
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The checkpoint is executed by the interrupt from the power management system~\cite{}, which is generated when the capacitor voltage reaches the power-off threshold (3.4V).
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Note that this is the most efficient point for checkpoint execution according to the traditional model.
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Note that this is the most efficient point for checkpoint execution according to the traditional model.
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The results shows that significant energy is wasted in the decoupling capacitors.
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The results shows that significant energy is wasted in the decoupling capacitors.
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For example, 60.7\% of power is wasted during the power-off duration (denoted as \emph{Dischrged}) in 470uF case.
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For example, 60.7\% of power is wasted during the power-off duration (denoted as \emph{Dischrged}) in 470uF case.
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-The discharging behavior can be modeled as RC-discharging circuits (i.e., $q=CVe^{-\frac{1}{RC}t}$), which show exponential discharge rate.
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+The discharging behavior can be modeled as RC-discharging circuit (i.e., $q=CVe^{-\frac{1}{RC}t}$), which has exponential discharge rate.
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As a result, the cost from discharging is more expensive when the capacitor size is small;
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As a result, the cost from discharging is more expensive when the capacitor size is small;
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in our case, 50\% of energy is discharged at the first 161 ms.
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in our case, 50\% of energy is discharged at the first 161 ms.
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The discharge rate decreases as the capacitor size increases, down to 28.5\% in 1320uF case, which is still not negligible.
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The discharge rate decreases as the capacitor size increases, down to 28.5\% in 1320uF case, which is still not negligible.
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@@ -130,7 +128,7 @@ This introduces significant errors, up to 5.62x in 470uF setup.
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In the same context, the traditional model expects using 470uF capacitor instead of 1320uF results in merely 1.22x overhead in energy efficiency, but the actual energy efficiency differs by 4.71x.
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In the same context, the traditional model expects using 470uF capacitor instead of 1320uF results in merely 1.22x overhead in energy efficiency, but the actual energy efficiency differs by 4.71x.
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% However, our model shows that the actual energy efficiency differs by xx\% in reality, brining xx\% error in the traditional model.
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% However, our model shows that the actual energy efficiency differs by xx\% in reality, brining xx\% error in the traditional model.
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This can significantly mislead the system designers when they decide the capacitor size by considering tradeoffs between overall efficiency and reactiveness.
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This can significantly mislead the system designers when they decide the capacitor size by considering tradeoffs between overall efficiency and reactiveness.
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-In Sec.~\ref{sec:design_guidelines}, we discuss our guidelines to minimize overhead from discharging when designing software techniques.
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+In Sec.~\ref{sec:design_guidelines}, we discuss options to minimize overhead from discharging when designing software techniques.
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% More importantly, this wasted energy is expected to be used for the computation in traditional execution model, as all the energy except for the initialization and checkpoint/recovery is expected to be used in computations.
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% More importantly, this wasted energy is expected to be used for the computation in traditional execution model, as all the energy except for the initialization and checkpoint/recovery is expected to be used in computations.
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% It brings significant errors between the two models in available energy for the execution.
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% It brings significant errors between the two models in available energy for the execution.
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@@ -141,11 +139,13 @@ In Sec.~\ref{sec:design_guidelines}, we discuss our guidelines to minimize overh
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% In Sec.~\ref{sec:design_guidelines}, we discuss our guidelines to maximize power efficiency with software-level designs.
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% In Sec.~\ref{sec:design_guidelines}, we discuss our guidelines to maximize power efficiency with software-level designs.
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\subsection{Impact on Predicting Power Failures}
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\subsection{Impact on Predicting Power Failures}
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+\label{sec:predicting_power_failures}
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According to the traditional model, the system states should be saved to NVM before power-off threshold, as the system halts at this point.
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According to the traditional model, the system states should be saved to NVM before power-off threshold, as the system halts at this point.
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On the other hand, our model shows that the system may operate afterward using the energy stored in the decoupling capacitors (\textbf{O2}).
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On the other hand, our model shows that the system may operate afterward using the energy stored in the decoupling capacitors (\textbf{O2}).
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-Modern MCUs can operate on a range of supply voltages (e.g., from 1.7V to 3.6V for STM32L5 and MSP430).
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-Since the voltage of decoupling capacitors decreases as the discharge, the computing system is executed until the voltage reaches the minimum operating voltage.
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+Since modern MCUs can operate on a range of supply voltages (e.g., from 1.7V to 3.6V in STM32L5 and MSP430), the computing system is executed until the voltage of decoupling capacitors reaches the minimum operating voltage.
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+% Modern MCUs can operate on a range of supply voltages (e.g., from 1.7V to 3.6V for STM32L5 and MSP430).
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+% Since the voltage of decoupling capacitors decreases as the discharge, the computing system is executed until the voltage reaches the minimum operating voltage.
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% While the voltage of decoupling capacitors decreases as they discharge, the computing system operates since modern MCUs can operate on a range of supply voltages (e.g., from 1.7V to 3.6V for STM32L5 and MSP430).
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% While the voltage of decoupling capacitors decreases as they discharge, the computing system operates since modern MCUs can operate on a range of supply voltages (e.g., from 1.7V to 3.6V for STM32L5 and MSP430).
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This makes the energy storage voltage not a good estimate of the remaining time that system can execute.
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This makes the energy storage voltage not a good estimate of the remaining time that system can execute.
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@@ -169,43 +169,46 @@ This makes the energy storage voltage not a good estimate of the remaining time
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% Modern MCUs can operate on wide range of operating voltages (e.g., from 1.7V to 3.6V for STM32L5 and MSP430).
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% Modern MCUs can operate on wide range of operating voltages (e.g., from 1.7V to 3.6V for STM32L5 and MSP430).
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Fig.~\ref{fig:sub_voltage_execution} shows the ratio of the times executed under sub-voltage over the total execution times, averaged over 30 measurements.
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Fig.~\ref{fig:sub_voltage_execution} shows the ratio of the times executed under sub-voltage over the total execution times, averaged over 30 measurements.
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-The x-axis shows the different capacitor sizes and the colors represent the voltages that system enters sleep state.
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+The x-axis shows the different capacitor sizes and the colors represent the voltages that system stops its operation.
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We evaluate various voltages ranging from 1.7V to 2.5V since not all components in the computing system may operate at the lowest voltage (Sec.~\ref{sec:sub_normal_execution}).
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We evaluate various voltages ranging from 1.7V to 2.5V since not all components in the computing system may operate at the lowest voltage (Sec.~\ref{sec:sub_normal_execution}).
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Also, we present two different cases with input current of 1mA (Fig.~\ref{fig:sub_voltage_execution_1mA}) and 3mA (Fig.~\ref{fig:sub_voltage_execution_3mA}) to evaluate the impact of input power.
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Also, we present two different cases with input current of 1mA (Fig.~\ref{fig:sub_voltage_execution_1mA}) and 3mA (Fig.~\ref{fig:sub_voltage_execution_3mA}) to evaluate the impact of input power.
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-The figure shows that significant MCU operation is executed under sub-normal voltage.
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+The figure shows that significant MCU operation is executed at sub-normal voltage.
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For example, when 470uF capacitor is used at 1mA input current (Fig.~\ref{fig:sub_voltage_execution_1mA}), 82.8\% of computation is executed \emph{after} power-off threshold.
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For example, when 470uF capacitor is used at 1mA input current (Fig.~\ref{fig:sub_voltage_execution_1mA}), 82.8\% of computation is executed \emph{after} power-off threshold.
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The ratio decreases as the system powers-off early (reduced sub-voltage operation time) or the input current increases (longer operation time at normal voltage).
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The ratio decreases as the system powers-off early (reduced sub-voltage operation time) or the input current increases (longer operation time at normal voltage).
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Under 1000uF is the major focus of this paper.
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Under 1000uF is the major focus of this paper.
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These values can be directly translated to the inefficiency of the system based on the traditional model.
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These values can be directly translated to the inefficiency of the system based on the traditional model.
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-For example, in 470uF with 1mA input current case, systems executing checkpoint at power-off threshold execute 16.3 ms while it can operate 29.4 ms more if it execute checkpoint at 2.5V.
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-Although executing checkpoint early may save some energy in decoupling capacitors, the saved energy is not preserved as discussed in Sec.~\ref{sec:power_efficiency}.
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-In Sec.~\ref{sec:design_guidelines}, we validate this aspect and propose a method to execute checkpoint truly just before the poweroff.
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+For example, in 470uF with 1mA input current case, systems executing checkpoint at power-off threshold may operate 16.3ms, although it can operate 29.4ms longer if it execute checkpoint at 2.5V.
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+At next power-on, decoupling capacitors are discharged to similar voltages in either cases, as capacitors discharge exponentially (Sec.~\ref{sec:power_efficiency}).
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+As a result, failing to execute at sub-normal voltage introduces significant power efficiency overhead.
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+% Although early checkpoint execution may save some energy in decoupling capacitors, the saved energy is not preserved as discussed in Sec.~\ref{sec:power_efficiency}.
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+In Sec.~\ref{sec:design_guidelines}, we validate this aspect and propose a method to predict the power-off time more accurately.
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\subsection{Impact of Sub-normal Voltage Execution}
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\subsection{Impact of Sub-normal Voltage Execution}
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\label{sec:sub_normal_execution}
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\label{sec:sub_normal_execution}
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The traditional model makes the software designers assume the system is executed under stable voltage.
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The traditional model makes the software designers assume the system is executed under stable voltage.
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-However, the execution after the power-off threshold (\textbf{O3}) happens in sub-normal voltage.
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-Being aware of this is important to the software designers since the peripherals and analog components may function differently.
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+However, the majority of execution may happen after the power-off threshold at sub-normal voltage (\textbf{O3}), as discussed in Sec.~\ref{sec:predicting_power_failures}.
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+Being aware of this is important to software designers since the peripherals and analog components may function differently at sub-normal voltage.
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-The two most critical examples are Analog-Digital Converter (ADC) and external memory.
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+The two most critical examples are Analog-Digital Converters (ADCs) and external NVMs.
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+They play an important role in checkpointing, since ADCs are often used to estimate power-off time by reading the capacitor voltage and NVMs have to save the checkpoint data safely.
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\begin{figure}
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\begin{figure}
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\centering
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\centering
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\begin{subfigure}{0.45\linewidth}
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\begin{subfigure}{0.45\linewidth}
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\includegraphics[width=\textwidth]{figs/plot_expr_2_cropped.pdf}
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\includegraphics[width=\textwidth]{figs/plot_expr_2_cropped.pdf}
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- \caption{Trace of one power cycle.}
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+ \caption{Analog-Digital Converter.}
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\label{fig:adc_error}
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\label{fig:adc_error}
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\end{subfigure}
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\end{subfigure}
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\hfill
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\hfill
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\begin{subfigure}{0.52\linewidth}
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\begin{subfigure}{0.52\linewidth}
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\includegraphics[width=\textwidth]{figs/plot_expr_3_cropped.pdf}
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\includegraphics[width=\textwidth]{figs/plot_expr_3_cropped.pdf}
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- \caption{Detailed trace.}
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+ \caption{External FRAM.}
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\label{fig:fram_drror}
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\label{fig:fram_drror}
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\end{subfigure}
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\end{subfigure}
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- \caption{Voltage of the capacitor and Vdd, sampled 470uF and 1.5mA.}
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+ \caption{Incorrectly functioning components at sub-normal voltage.}
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\label{fig:adc_and_fram_error}
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\label{fig:adc_and_fram_error}
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\end{figure}
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\end{figure}
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@@ -225,13 +228,13 @@ Fig.~\ref{fig:fram_drror}: FRAM error.
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\label{tab:architectures}
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\label{tab:architectures}
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\renewcommand{\arraystretch}{0.9} % Reduce vertical spacing
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\renewcommand{\arraystretch}{0.9} % Reduce vertical spacing
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\setlength{\tabcolsep}{3pt} % Reduce horizontal spacing
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\setlength{\tabcolsep}{3pt} % Reduce horizontal spacing
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- \resizebox{\columnwidth}{!}{%
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+ \resizebox{0.95\columnwidth}{!}{%
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\begin{tabular}{@{}cccccccc@{}}
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\begin{tabular}{@{}cccccccc@{}}
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\toprule
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\toprule
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\multirow{2}{*}{} & \multirow{2.5}{*}{Core} & \multirow{2.5}{*}{\begin{tabular}[c]{@{}c@{}}Core\\ Freq.\end{tabular}} & \multicolumn{3}{c}{Capacitance (uF)} & \multirow{2.5}{*}{Current} & \multirow{2.5}{*}{Memory} \\ \cmidrule(lr){4-6}
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\multirow{2}{*}{} & \multirow{2.5}{*}{Core} & \multirow{2.5}{*}{\begin{tabular}[c]{@{}c@{}}Core\\ Freq.\end{tabular}} & \multicolumn{3}{c}{Capacitance (uF)} & \multirow{2.5}{*}{Current} & \multirow{2.5}{*}{Memory} \\ \cmidrule(lr){4-6}
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& & & C1 & C2 & Storage & & \\ \midrule
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& & & C1 & C2 & Storage & & \\ \midrule
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- MRAM & STM32L5 & 16MHz & 22 & 220 & 1,320 & 3mA & \begin{tabular}[c]{@{}c@{}}MRAM\\ (off-chip)\end{tabular} \\
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- MSP430 & MSP430FR5994 & 8MHz & 22 & 10 & 40 & 100uA & \begin{tabular}[c]{@{}c@{}}FRAM\\ (on-chip)\end{tabular} \\ \bottomrule
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+ A1 & STM32L5 & 16MHz & 22 & 220 & 1,320 & 3mA & \begin{tabular}[c]{@{}c@{}}MRAM\\ (off-chip)\end{tabular} \\
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+ A2 & MSP430FR5994 & 8MHz & 22 & 10 & 40 & 100uA & \begin{tabular}[c]{@{}c@{}}FRAM\\ (on-chip)\end{tabular} \\ \bottomrule
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\end{tabular}%
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\end{tabular}%
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}
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}
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\end{table}
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\end{table}
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