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\section{Detailed Intermittent Execution Model}
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-In this Section, we provide a detailed description of our execution model for intermittent systems and its implications for software design.
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-In Sec.~\ref{sec:system_description}, we introduce the target hardware setup of our model and the reference system used for evaluations.
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-Sec.~\ref{sec:execution_model} presents our proposed execution model, designed based on the key observations from our measurements.
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+In this Section, we provide a detailed description of our intermittent system execution model and its implications for software design.
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+In Sec.~\ref{sec:system_description}, we introduce the target architecture of our model and the reference system used for evaluations.
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+Sec.~\ref{sec:execution_model} presents our detailed execution model, designed based on the key observations from our experimental results.
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In the following three sections, we discuss how this model affects both the power efficiency and correctness of software design.
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Finally, in Sec.~\ref{sec:other_architectures}, we evaluate the effectiveness of our model across systems with different architectural configurations.
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@@ -24,12 +24,12 @@ This setup includes two notable decoupling capacitors that affect the execution
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The first one (C1 in the figure) is placed at the power management system as voltage regulators require a capacitor larger than the device-specific minimum capacitance for stable operation.
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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 consider use of 32-bit architectures for the computing system~\cite{shihIntermittent2024,wuIntOS2024,kimRapid2024,akhunovEnabling2023,kimLACT2024,kimLivenessAware2023,parkEnergyHarvestingAware2023,kortbeekWARio2022,khanDaCapo2023}, as emerging applications on intermittent systems, such as DNNs~\cite{houTale2024,yenKeep2023,khanDaCapo2023,gobieskiIntelligence2019,islamEnabling2022a,kangMore2022,leeNeuro2019,islamZygarde2020}, demand more computing capability~\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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-To this end, we use a custom-built board equipped with an ARM Cortex-M33 (operating at 16Mhz) and 512KB of FRAM as a reference system in this section.
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-For power management system, we use TI BQ25570 based system.
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-We empirically choose XXuF and 220uF capacitors for C1 and C2, respectively, as these are the minimum capacitor sizes for stable execution of checkpoint and recovery.
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-For generality, Sec.~\ref{sec:other_architectures} evaluates our model in different architectures, such as systems with MRAM and 16-bit core.
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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 512KB of FRAM as a reference system.
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+For the power management system, we use a TI BQ25570 based system.
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+We empirically select XXuF and 220uF capacitors for C1 and C2, respectively, as these are the minimum capacitor sizes for stable checkpointing and recovery.
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+Sec.~\ref{sec:other_architectures} evaluates generality of our model in different architectures, such as systems equipped with MRAM and a 16-bit core.
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% In this work, our goal is to model the buffering effects of these capacitors and evaluate their implications on software designs.
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% (Recent studies present the need for better computing capability~\cite{bakarProtean2023a})
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@@ -44,31 +44,36 @@ For generality, Sec.~\ref{sec:other_architectures} evaluates our model in differ
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\centering
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\begin{subfigure}{\linewidth}
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\includegraphics[width=\textwidth]{figs/plot_expr_8a_cropped.pdf}
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- \caption{Trace of one power cycle.}
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+ \caption{Voltage traces for one power cycle.}
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\label{fig:execution_trace_one_cycle}
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\vspace{5pt}
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\end{subfigure}
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\begin{subfigure}{\linewidth}
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\includegraphics[width=\textwidth]{figs/plot_expr_8b_cropped.pdf}
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- \caption{Detailed trace.}
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+ \caption{Voltage traces around the first power-on.}
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\label{fig:execution_trace_detailed}
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\end{subfigure}
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- \caption{Voltage measurement of capacitor and Vdd (470uF, 1.5mA current supply).}
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+ \caption{Voltages trace of energy storage and Vdd.}
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\label{fig:execution_trace}
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\end{figure}
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-Fig.~\ref{fig:execution_trace} shows the voltage trace of the energy storage and the Vdd of the computing system.
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-A 470uF capacitor is used for the energy storage to generate execution of about 50 ms under 1.5mA current supply.
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-Fig.~\ref{fig:execution_trace_one_cycle} shows the trace during one power cycle, and Fig.~\ref{fig:execution_trace_detailed} presents the first execution cycle in more detail.
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+To derive general execution model with the effects of decoupling capacitors, we first present a sample measurement in our reference system.
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+To generate operation time of 50ms under 1.5mA current supply, we use a 470uF capacitor for the energy storage.
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+Fig.~\ref{fig:execution_trace_one_cycle} shows the voltage trace of the energy storage and the operating voltage (Vdd) of the computing system for one power cycle.
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+Note that Vdd is maintained by decoupling capacitors after current supply from the power management system stops.
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+The shaded areas represent the ranges that system executes the application code.
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+% Fig.~\ref{fig:execution_trace_one_cycle} shows the trace during one power cycle, and Fig.~\ref{fig:execution_trace_detailed} presents the first execution cycle in more detail.
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-Three key observations that affect software designer's decision.
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+Fig.~\ref{fig:execution_trace_detailed} presents the first execution cycle in detail. It shows several interesting differences between the traditional execution model and the actual operation.
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+Among them, we highlight three key observations that affect software designer's decision.
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\begin{itemize}
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- \item \textbf{O1}: The capacitor voltage drops quickly to charge decoupling capacitor when system wakes-up ($t1$--$t2$).
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- \item \textbf{O2}: The system executes at sub-voltage using the decoupling capacitor, even after power supply stops ($t4$--$t5$).
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+ \item \textbf{O1}: The capacitor voltage drops quickly to charge decoupling capacitor when the system wakes-up ($t1$--$t2$).
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+ \item \textbf{O2}: The system executes at sub-voltage using the decoupling capacitors, even after power supply stops ($t4$--$t5$).
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\item \textbf{O3}: The decoupling capacitor discharges while the system is powered-off (after $t5$).
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\end{itemize}
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+
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\begin{figure}
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\centering
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\includegraphics[width=\linewidth]{figs/cropped/detailed_execution_model.pdf}
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@@ -76,15 +81,23 @@ Three key observations that affect software designer's decision.
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\label{fig:detailed_execution_model}
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\end{figure}
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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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Fig.~\ref{fig:detailed_execution_model} shows our detailed execution model, which reflects all the 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, instead of gradual reduction.
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+After initialization, the system starts to execute at normal voltage (e.g., 3.3V).
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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.
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+Since voltage of capacitor decreases as it discharges, the system executes at sub-normal voltage until it reaches the voltage it cannot operate (e.g., 1.8V, typically known as Brown-Out Reset (BOR) voltage).
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+Finally, until the next power-on, the remaining energy in decoupling capacitors continues to discharge.
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-In the following sections, we discuss how this model benefits the software design.
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+When designing intermittent systems with small capacitors, it is important for software designers to understand this model.
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+In the following sections, we discuss the impact of this model to software design in more detail.
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\subsection{Impact on Power Efficiency}
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-The traditional model implies that power consumed between power-on and power-off thresholds are entirely used for the computing system (including hardware initialization and recovery).
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-However, our model reveals that huge energy is used for charging the decaps (\textbf{O1}) and discharged during power-off durations (\textbf{O3}).
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-This implies that much smaller energy is used for the useful computation compared to the designer's expectation.
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+The traditional model implies that power consumed between power-on and power-off thresholds are entirely used for 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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+This implies that much smaller energy is used for the useful computation compared to the designer's expectation when using small capacitors.
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\begin{figure}
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\centering
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@@ -93,15 +106,15 @@ This implies that much smaller energy is used for the useful computation compare
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\label{fig:power_distribution}
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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 intermittent execution within one power cycle, averaged over 50 executions, in various capacitor sizes.
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-The line represents the average time of useful computation.
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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 in various capacitor sizes, averaged over 50 executions.
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+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, which is generated when the capacitor voltage reaches the power-off threshold (3.4V).
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Note that this is the last point for checkpoint execution according to the traditional model.
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The results shows that significant energy is wasted in decoupling capacitor.
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-60.7\% of power is wasted in 470uF, 28.5\% in 1320uF case.
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-The cost is more expensive when the capacitor size is small since the decaps discharge rate follows the RC-discharging circuits.
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+The cost is more expensive when the capacitor size is small since the discharge rate follows the RC-discharging circuits.
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While using smaller capacitors shortens the power-off durations, the discharging behavior penalizes them most since RC-discharging circuits discharge exponential (in our case, 50\% of energy is discharged at the first 161 ms).
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+As a result, 60.7\% of power is wasted in 470uF, and the rate decreases as the capacitor size increases, down to 28.5\% in 1320uF case.
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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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