Minor changes proof #1
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@ -57,7 +57,7 @@
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yet offers a level of security that is comparable to commercial HSMs. We have built a proof-of-concept hardware
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prototype that demonstrates solutions to the concept's main engineering challenges. As part of this
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proof-of-concept, we have found that a system using a coarse security mesh made from commercial printed circuit
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boards and an automotive high g-force accelerometer already provides a useful level of security.
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boards and an automotive high-g-force accelerometer already provides a useful level of security.
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\end{abstract}
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\section{Introduction}
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@ -163,9 +163,9 @@ commercial HSMs.
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The self-destruct built into an HSM serves as a strong tamper deterrent. For illustration, compare an HSM to a computer
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inside a locked safe when opposing a well-funded attacker with plenty of time. In~\cite{boak1973}, Boak asserts that
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absent an HSM's capability to self-destruct, the best safes can only withstand brute force attacks by an expert for
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several minutes at best. While the state of electronics has advanced rapidly since Boak's 1973 lecture, the hardness of
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steel has not increased correspondingly. Thus, we can conclude that even today, against a "smart, well-equipped opponent
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with plenty of time" as noted by Boak, this self-destruction functionality is essential.
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several minutes. While the state of electronics has advanced rapidly since Boak's 1973 lecture, the hardness of steel
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has not increased correspondingly. Thus, we can conclude that even today, against a ``smart, well-equipped opponent with
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plenty of time'' as noted by Boak, this self-destruction functionality is essential.
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In~\cite{anderson2020}, Anderson gives a comprehensive overview of physical security. An example HSM that he cites is
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the IBM 4758, the details of which are laid out in-depth in~\cite{smith1998}. This HSM is an example of an
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@ -173,8 +173,8 @@ industry-standard construction. Although its turn of the century design is now a
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of the physical security mechanisms have not evolved much in the last two decades. Besides some auxiliary temperature
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and radiation sensors to guard against attacks on the built-in SRAM memory, the module's main security barrier uses the
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common construction of a flexible mesh foil wrapped around the module's core. In~\cite{smith1998}, the authors state
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that the module monitors this mesh for short circuits, open circuits, and conductivity. Other commercial offerings use a
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fundamentally similar approach to tamper detection~\cite{obermaier2018,drimer2008,anderson2020,isaacs2013}.
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that the module monitors this mesh for short circuits, open circuits, and conductivity. Other commercial offerings use
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similar approaches to tamper detection~\cite{obermaier2018,drimer2008,anderson2020,isaacs2013}.
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Shifting our focus from industry use to the academic state of the art, in~\cite{immler2019}, Immler et al. describe an
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HSM based on precise capacitance measurements of a security mesh, creating a PUF from the mesh. In contrast to
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@ -209,9 +209,9 @@ security barrier and transforming it into a marginally more expensive but high-p
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\section{Inertial HSM construction and operation}
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\label{sec_ihsm_construction}
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Mechanical motion has been proposed as a means of making things harder to see with the human eye~\cite{haines2006} and
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is routinely used in military applications to make things harder to hit~\cite{terdiman2013} but we seem to be the first
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to use it in tamper detection.
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Fast mechanical motion has been proposed as a means of making things harder to see with the human eye~\cite{haines2006}
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and is routinely used in military applications to make things harder to hit~\cite{terdiman2013} but we seem to be the
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first to use it in tamper detection.
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The core questions in the design of an inertial HSM are the following:
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@ -232,12 +232,13 @@ perform advanced data analysis on a large database of patient health information
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needed for the common good, accumulating large amounts of sensitive data on a single system for such processing poses a
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risk. By collecting valuable data in a single computer, this computer is effectively made a target for organized
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cyber-criminals and other determined attackers. Mitigations such as cryptographic protocols and firewalls are effective
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for the network security side of things, physical security is difficult to secure against e.g. bribing of insiders. A
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similar use case would be that of a bank processing customer data. Here, too, a very high level of physical security is
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necessary since adversaries may include foreign secret services. Finally, consider a provider of large-scale group
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communication. Right now, practical systems such as messenger apps fall back to non-end-to-end-encrypted processes for
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large groups since a sufficiently lightweight, performant cryptographic solution does not exist yet. Similar to the
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banking use case, such services need to consider advanced adversaries such as foreign nation states' secret services.
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for the network security side of things, but the physical hardware is difficult to secure against e.g.\ bribing of
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insiders. A similar use case would be that of a bank processing customer data. Here, too, a very high level of physical
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security is necessary since adversaries may include foreign secret services. Finally, consider a provider of large-scale
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group communication. Right now, practical systems such as messenger apps fall back to non-end-to-end-encrypted processes
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for large groups since a sufficiently lightweight, performant cryptographic solution does not exist yet. Similar to the
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banking use case, such services need to consider advanced adversaries such as foreign nation states' secret services
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that might attempt physical attacks to extract unencrypted messages from a message broker server.
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Our goal with IHSMs is to eventually arrive at a system that, at low-cost, can persist against a smart, well-funded
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adversary such as a secret service or organized cyber-crime.
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@ -247,7 +248,7 @@ adversary such as a secret service or organized cyber-crime.
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First, there are several ways how we can approach motion. Periodic, aperiodic and continuous motion could serve the
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purpose. There is also linear motion as well as rotation. We can also vary the degree of electronic control in this
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motion. The main constraints on the HSM's motion pattern are that it needs to be (almost) continuous to not expose any
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motion. The main constraint on the HSM's motion pattern is that it needs to be (almost) continuous to not expose any
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weak spots. Additionally, it has to stay within a confined space: Linear motion would have to be periodic, like that of
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a pendulum. Such periodic linear motion will have to quickly reverse direction at its apex so the device is not
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stationary long enough for this to become a weak spot.
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@ -257,12 +258,13 @@ device. When the axis is fixed, rotation will expose a weak spot close to the ax
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Possible mitigations are faster rotation to lessen the impact, additional tamper protection at the axis, and having the
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HSM perform a compound rotation that has no fixed axis.
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Large centrifugal acceleration at high speeds poses the engineering challenge of preventing rapid unscheduled
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disassembly of the device, but it also creates an obstacle to any attacker trying to manipulate the device in what we
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call a \emph{swivel chair attack} (see Section~\ref{sec_swivel_chair_attack}). An attacker trying to follow the motion
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would have to rotate around the same axis. By choosing a suitable rotation frequency we can prevent an attacker from
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following the device's motion since doing so would subject them to impractically large centrifugal forces. Essentially,
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this limits the approximate maximum size and mass of an attacker under an assumption on tolerable centrifugal force.
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High speed gives rise to large centrifugal acceleration, which poses the engineering challenge of preventing rapid
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unscheduled disassembly of the device, but it also creates an obstacle to any attacker trying to manipulate the device
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in what we call a \emph{swivel chair attack} (see Section~\ref{sec_swivel_chair_attack}). An attacker trying to follow
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the motion would have to rotate around the same axis. By choosing a suitable angular frequency we can prevent an
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attacker from following the device's motion since doing so would subject them to impractically large centrifugal forces.
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Essentially, this limits the approximate maximum size and mass of an attacker under an assumption on tolerable
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centrifugal force.
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In this paper, we focus on rotating IHSMs for simplicity of construction. For our initial research, we focus on systems
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with a fixed axis of rotation due to their simple construction but we do wish to note the challenge of hardening the
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@ -271,22 +273,21 @@ shaft against tampering that any production device would have to tackle.
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\subsection{Tamper detection mesh construction}
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IHSMs do not eliminate the need for a security barrier. To prevent an attacker from physically destroying the moving
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security barrier, tamper detection such as a mesh is still necessary. In this subsection we will consider ways to
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realize this security barrier. There are two movements that we have observed that are key to our work. On the one hand,
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there is the widespread industry use of delicate tamper sensing mesh membranes. The usage of such membranes in systems
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deployed in the field for a variety of use cases from low-security payment processing devices to high-security
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certificate management at a minimum tells us that a properly implemented mesh \emph{can} provide a practical level of
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security. On the other hand, in contrast to this industry focus, academic research has largely focused on ways to
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fabricate enclosures that embed characteristics of a Physically Unclonable Function. By using stochastic properties of
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the enclosure material to form a PUF, such academic designs effectively leverage signal processing techniques to improve
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the system's security level by a significant margin.
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part, tamper detection such as a mesh is still necessary. In this subsection we will consider ways to realize this
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security barrier. In industry, mesh membranes are commonly used for tamper detection. Such membranes are deployed in
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systems for a variety of use cases ranging from low-security payment processing to high-security certificate management.
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From this we can conclude that a properly implemented mesh \emph{can} provide a practical level of security. In
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contrast to this industry focus, academic research has largely focused on ways to fabricate enclosures that embed
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characteristics of a Physically Unclonable Function as a means of tamper detection~\cite{tobisch2020,immler2019}. By
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using stochastic properties of the enclosure material to form a PUF, such academic designs leverage signal processing
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techniques to improve the system's security level by a significant margin.
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In our research, we focus on security meshes as our IHSM's tamper sensors. The cost of advanced manufacturing
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techniques and special materials used in commercial meshes poses an obstacle. The foundation of an IHSM security is
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that by moving the mesh even a primitive, coarse mesh made e.g.\ from mesh traces on a PCB becomes very hard to attack
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in practice. This allows us to use a simple construction made up of low-cost components. Additionally, the use of a
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mesh allows us to only spin the mesh itself and its monitoring circuit and keep the payload inside the mesh stationary
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for reduced design complexity. RF-based tamper sensing systems do not allow for this degree of freedom.
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techniques and special materials used in commercial meshes poses an obstacle to small-scale manufacturing. The
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foundation of an IHSM security is that by moving the mesh, even a primitive, coarse mesh such as one made from a
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low-cost PCB becomes very hard to attack in practice. Additionally, the use of a mesh allows us to only spin the mesh
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itself and its monitoring circuit and keep the payload inside the mesh stationary for reduced design complexity.
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Other tamper sensing systems such as RF fingerprinting would not allow for this degree of freedom in an IHSM.
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\subsection{Braking detection}
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@ -317,8 +318,8 @@ range. A key point here is that for speeds between $500$ and $\SI{1000}{rpm}$, c
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very large at a radius of just a few $\si{\centi\meter}$. At $\SI{1000}{rpm}\approx\SI{17}{\hertz}$ and at a
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$\SI{10}{\centi\meter}$ radius, centrifugal acceleration already is above $\SI{1000}{\meter\per\second}$ or $100\,g$.
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Due to this large acceleration, off-axis performance of the accelerometer has to be considered. Suitable high-$g$
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accelerometers for the large accelerations found on the circumference of an IHSM's rotor are ones mostly used in
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automotive applications.
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accelerometers for the large accelerations found on the circumference of an IHSM's rotor are mostly used in automotive
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applications.
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To evaluate the feasibility of accelerometers as tamper sensors we can use a simple benchmark. Let us assume an IHSM
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spinning at $\SI{1000}{rpm}$. To detect any attempt to brake it below $\SI{500}{rpm}$, we have to detect a difference in
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@ -403,8 +404,9 @@ battery failure, mechanical wear or over/undertemperature conditions some time b
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all secrets must be detstroyed. This type of early warning allows for the implementation of a graceful failover
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mechanism. Similar to hot spares in hard disk arrays, a number of IHSMs might share a hot spare IHSM that is running,
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but that does not yet contain any secrets. Once an IHSM detects early warning signs of an impending failure, it can then
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transfer its secrets to the hot spare using one of the technologies listed in the previous paragraph, then delete their
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local copies. This may allow for the graceful handling of device failures due to both age and disasters such as fires.
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transfer its secrets to the hot spare using replicatoin technologies as mentioned in the previous paragraph, then delete
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its local copies. This would allow for the graceful handling of device failures due to both age and disasters such as
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fires.
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Excluding natural disasters, there are three main categories of challenges to an IHSM's longevity: Failure of components
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of the IHSM due to age and wear, failure of the external power supply, and spurious triggering of the intrusion alarm by
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@ -425,29 +427,30 @@ communication link's optical components, as well as by filtering cooling air at
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\label{sec-power-failure}
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After engineering an IHSM's components to survive years of continuous operation, the next major failure mode to be
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considered is power loss. Traditional HSMs solve the need for an always-on backup power supply by carrying large backup
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batteries. The low static power consumption of a traditional HSM's simple tamper detection circuitry allows for the use
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of non-replaceable backup batteries. An IHSM in contrast would likely require a rechargeable backup battery since its
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motor requires more power than the mesh monitoring circuit of a traditional HSM. In principle, a conventional
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Uninterruptible Power Supply (UPS) can be used, but in practice, a productized IHSM might have a smaller backup battery
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integrated into its case. Conservatively assuming an average operating power consumption of $\SI{10}{\watt}$ for an
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IHSM's motor, a single large laptop battery with a capacity of $\SI{100}{\watt\hour}$~\cite{faa2018} could already power
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an IHSM for 10 hours continuously. $\SI{10}{\watt}$ is a reasonable high estimate given that there are large industrial
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fans rated at lower wattages. For example, \partnum{CF2207LBL-000U-HB9}, a $\SI{250}{\milli\meter}$ diameter
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$\SI{7.8}{\meter^3\per\minute}$ industrial axial fan made by Sunon is rated at only
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$\SI{6.6}{\watt}$\footnote{\url{https://www.digikey.com/en/products/detail/sunon-fans/CF2207LBL-000U-HB9/9083282}}. If
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a built-in battery is undesirable, or if power outages of more than a few seconds at a time are unlikely (e.g.\ because
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the IHSM is connected to an external UPS or generator), the IHSM's rotor itself can be used as a flywheel for energy
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storage.
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batteries~\cite{obermaier2019}. The low static power consumption of a traditional HSM's simple tamper detection
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circuitry allows for the use of non-replaceable backup batteries. An IHSM in contrast would likely require a
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rechargeable backup battery since its motor requires more power than the mesh monitoring circuit of a traditional HSM.
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In principle, a conventional Uninterruptible Power Supply (UPS) can be used, but in practice, a productized IHSM might
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have a smaller battery integrated. Conservatively assuming an average operating power consumption of $\SI{10}{\watt}$
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for an IHSM's motor, a single large laptop battery with a capacity of $\SI{100}{\watt\hour}$~\cite{faa2018} could
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already power an IHSM for 10 hours continuously. $\SI{10}{\watt}$ is a reasonable high estimate given that there are
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large industrial fans rated at lower wattages, e.g. Sunon \partnum{CF2207LBL-000U-HB9}, a $\SI{250}{\milli\meter}$
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diameter $\SI{7.8}{\meter^3\per\minute}$ axial fan rated at $\SI{6.6}{\watt}$. If a built-in battery is undesirable or
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if power outages of more than a few seconds are unlikely (e.g.\ because of an external UPS), the IHSM's rotor itself can
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be used as a flywheel for energy storage.
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\paragraph{Spurious alarms due to vibration.}
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Beyond the electronic measures mentioned above, IHSMs must employ vibration damping since, during normal operation, they
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may receive vibration from outside sources such as backup generators, workers bumping the IHSM and nearby traffic.
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Besides such everyday sources, (usually harmless) earthquakes are a common occurrence in some regions of the world.
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Beyond the issues mentioned above, the effect of normal mechanical vibration on the IHSM's tamper sensors has to be
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considered. During normal operation, IHSMs may receive vibration from outside sources such as backup generators, workers
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bumping the IHSM and nearby traffic. Besides such everyday sources, (usually harmless) earthquakes are a common
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occurrence in some regions of the world. None of these sources of vibration are likely to cause a false alarm, but
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since IHSMs are rotating machines they will themselves cause some amount of vibration and thus vibration isolation is a
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reasonable design requirement.
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For comparison, consider an IHSM running at an angular velcity of $\SI{1000}{rpm}$. A tamper
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For reference, consider an IHSM running at an angular velcity of $\SI{1000}{rpm}$. A tamper
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sensor mounted at a radius of $\SI{100}{\milli\meter}$ will measure a constant centrifugal
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acceleration of approximately $\SI{100}{g}$.
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Literature on car crashes shows that accelerations above $\SI{10}{g}$ in the car's structural components
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acceleration of approximately $100\,g$.
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Literature on car crashes shows that accelerations above $10\,g$ in the car's structural components
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correspond to a crash at $\SI{30}{\kilo\meter\per\hour}$ and above~\cite{ika2002,german2007}. Measurements of the Peak
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Ground Acceleration (PGA) of severe earthquakes show that even the strongest earthquakes rarely reach a
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PGA of $\SI{0.1}{g}$~\cite{yoshimitsu1990} with the 2011 Tohoku earthquake at approximately
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higher frequencies~\cite{kelly1993,beards1996,dixon2007}, To reduce the likelihood of false detections, it is enough to
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damp high-frequency shock and vibration, as low-frequency shock or vibration components will not reach accelerations
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large enough to cause a false alarm. For instance, an earthquake's low-frequency vibrations dissipate a tremendous
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amount of mechanical power across a large geographic area, but due to the their absolute instantaneous acceleration, we
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can ignore them for the purposes of our tamper detection system. An IHSM's tamper detection subsystem will be able to
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clearly distinguish attempts to stop the IHSM's rotation from normal environmental noise. Any external acceleration that
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would come close in order of magnitude to the operating centrifugal acceleration at the periphery of an IHSM's rotor
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would likely destroy the IHSM.
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amount of mechanical power across a large geographic area, but due to the their low absolute instantaneous acceleration,
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we can ignore them for the purposes of our tamper detection system. An IHSM's tamper detection subsystem will be able
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to clearly distinguish attempts to stop the IHSM's rotation from normal environmental noise. Any external acceleration
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that would come close in order of magnitude to the operating centrifugal acceleration at the periphery of an IHSM's
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rotor would likely destroy the IHSM.
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\subsection{Transportation}
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@ -475,7 +478,8 @@ During shipping, the IHSM will require a continuous power supply. Following our
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Section~\ref{sec-power-failure}, 48-hour courier shipping could easily be bridged with the equivalent of 5-10 laptop
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batteries. In applications that do not require a backup battery built-in to the IHSM (e.g. due to existing UPS backup),
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the IHSM could be shipped connected to an external battery akin to a ``power bank'' that is sent back to the IHSM's
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manufacturer after the IHSM has been installed.
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manufacturer after the IHSM has been installed. Long-distance shipping can be facilitated through compatibility with
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standards used for powered refrigerated shipping containers.
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\section{Attacks}
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\label{sec_attacks}
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@ -495,7 +499,7 @@ we will start with a brief overview of attacks on conventional HSMs that the IHS
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In principle, there are three ways to attack a conventional HSM. The hard way is to go through the security mesh without
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triggering the alarm, e.g.\ with a probe that is finer than the mesh's spacing. For larger probes, an attacker can
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laboriously uncover, then bridge the mesh traces to allow part of the mesh to be removed. Some HSMs attempt to detect
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such attacks by measuring mesh resistance~\cite{obermaier2019}, but this is limited by the necessary precision.
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such attacks by measuring mesh resistance~\cite{obermaier2019}, but this is limited by available measurement precision.
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% However, if an attacker only wishes to disable a small section of the mesh to insert a handful of fine probes into the
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% device, this hardening approach becomes challenging. Consider a mesh that covers an area of $\SI{100}{\milli\meter}$
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@ -512,10 +516,9 @@ conductive foil around the HSM that forms the security mesh, leaving only the co
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feed-through as potential weak spots.
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The third and last way to attack a conventional HSM is to disable the mesh monitoring circuit~\cite{dexter2015}. An
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attacker may need to insert several probes or modify the circuit to wiretap the payload processor's secrets, but
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depending on the implementation they may be able to disable the mesh alarm circuit with only one or two probes. To
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harden a conventional HSM against this type of attack, the mesh monitoring circuit must be carefully designed to avoid
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single points of failure.
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attacker may need to insert several probes to wiretap the payload processor's secrets, but if poorly implemented, they
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may be able to disable the mesh monitor with only one. This type of attack can be mitigated by careful electronic
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design.
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\subsection{Attacks that work on any HSM}
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@ -663,7 +666,7 @@ message. The alarm circuitry has to be designed such that it is entirely contain
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Like in conventional HSMs, it has to be built to either tolerate or detect environmental attacks using sensors for
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temperature, ionizing radiation, laser radiation, supply voltage variations, ultrasound or other vibration, and gases or
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liquids. If a wireless link is used between the IHSM's rotor and stator, this link must be cryptographically secured.
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To prevent replay attacks link latency must continuously be measured, so this link must be bidirectional.
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To prevent replay attacks, link latency must continuously be measured, so this link must be bidirectional.
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% If it were unidirectional, an attacker could
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% act as a Man-in-the-Middle and replay the mesh's authenticated ``no alarm'' signal at slightly below real-time speed
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% (say at $\SI{99}{\percent}$ speed). The receiver would not be able to distinguish between this attack and ordinary
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@ -673,11 +676,11 @@ To prevent replay attacks link latency must continuously be measured, so this li
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\subsection{Fast and violent attacks}
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A variation of the above attacks on the alarm circuitry is to simply destroy the part of the HSM that erases data in
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response to tampering before it can perform its job using a tool such as a large hammer or a gun. To mitigate this type
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of attack, the HSM must be engineered to be either tough or brittle: Tough enough that the tamper response circuitry
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will reliably withstand any attack for long enough to carry out its function or brittle in a way that during any attack,
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the payload is reliably destroyed before the tamper response circuitry.
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A variation of the above attacks on the alarm circuitry is to use a tool such as a large hammer or a gun to simply
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destroy the part of the HSM that erases data in response to tampering before it can perform its job. To mitigate this
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type of attack, the HSM must be engineered to be either tough or brittle: Tough enough that the tamper response
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circuitry will reliably withstand any attack for long enough to carry out its function or brittle in a way that during
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any attack, the payload is reliably destroyed before the tamper response circuitry.
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\section{Proof-of-concept Prototype implementation}
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\label{sec_proto}
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@ -847,7 +850,7 @@ construction leads to vibration at high speeds. Its optical communication links
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need to be translated into manufacturable PCBs, and its security mesh has to be optimized for security. Finally, a motor
|
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driver solution needs to be selected that allows for direct digital control of motor speed. Overall, the prototype
|
||||
soundly demonstrated the viability of the IHSM concept and we are confident that all of these limitations can be
|
||||
conclusively solved in a next version that might be a ``beta'' version of a practical IHSM, built in a mechanical
|
||||
conclusively solved in a new iteration that might be a ``beta'' version of a practical IHSM, built in a mechanical
|
||||
workshop.
|
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|
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\section{Using MEMS accelerometers for braking detection}
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||||
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@ -868,11 +871,10 @@ its 14-bit resolution, one LSB corresponds to $15\,\mathrm{m}g$.
|
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|
||||
Our prototype IHSM uses a motor controller intended for use in RC quadcopters. In our experimental setup, we manually
|
||||
control this motor controller through an RC servo tester. In our experiments, we externally measured the device's speed
|
||||
of rotation using a magnet fixed to the rotor and a reed switch held close. The reed switch output is digitized using a
|
||||
USB logic analyzer at a sample rate of $\SI{100}{\mega\hertz}$. We calculate rotation frequency as a
|
||||
$\SI{1}{\second}$ running average over interval lengths of the debounced captured signal\footnote{A regular frequency
|
||||
counter or commercial tachometer would have been easier, but neither was available in our limited COVID-19 home office
|
||||
lab.}.
|
||||
of rotation using a magnet fixed to the rotor and a reed switch. The reed switch output is digitized using a USB logic
|
||||
analyzer at a sample rate of $\SI{100}{\mega\hertz}$. We calculate rotation frequency as a $\SI{1}{\second}$ running
|
||||
average over interval lengths of the debounced captured signal\footnote{A regular frequency counter or commercial
|
||||
tachometer would have been easier, but neither was available in our limited COVID-19 home office lab.}.
|
||||
|
||||
The accelerometer is controlled from the \partnum{STM32} microcontroller on the rotor of our IHSM prototype platform.
|
||||
Timed by an external quartz, the microcontroller samples accelerometer readings at $\SI{10}{\hertz}$. Readings are
|
||||
|
|
@ -923,7 +925,7 @@ slope. We then apply this correction to all captured data before plotting and la
|
|||
this approach already leads to a good match of measurements and theory modulo a small part of the device's offset
|
||||
remaining. At high speeds of rotation, this remaining offset does not have an appreciable impact, but due to the
|
||||
quadratic nature of centrifugal acceleration, at low speeds it causes a large relative error of up to
|
||||
$\SI{10}{\percent}$ at $\SI{95}{rpm}$.
|
||||
$\SI{8}{\percent}$ at $\SI{95}{rpm}$.
|
||||
|
||||
After offset and scale correction, we applied a low-pass filter to our data. The graphs show both raw and filtered data.
|
||||
Raw data contains significant harmonic content. This content is due to vibrations in our prototype as well as gravity
|
||||
|
|
@ -943,7 +945,7 @@ the fly, without stopping the rotor.
|
|||
\includegraphics[width=0.7\textwidth]{../prototype/sensor-analysis/fig-acc-theory-meas-run50.pdf}
|
||||
\caption{Centrifugal acceleration versus angular frequency in theory and in our experiments. Experimental
|
||||
measurements are shown after correction for offset and scale error. Above \SI{300}{rpm}, the relative error is
|
||||
below $\SI{0.5}{\percent}$. Below $\SI{300}{rpm}$, the residual offset error has a strong impact ($0.05\,g$ absolute
|
||||
below $\SI{0.5}{\percent}$. Below $\SI{300}{rpm}$, the residual offset error has a large impact ($0.05\,g$ absolute
|
||||
or $8\%$ relative at $\SI{95}{rpm}$.)}
|
||||
\label{fig-acc-theory}
|
||||
\end{figure}
|
||||
|
|
|
|||
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Reference in a new issue