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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Towards the Tunka-Rex Virtual Observatory</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Pavel Bezyazeekov</string-name>
          <xref ref-type="aff" rid="aff4">4</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Nikolai Budnev</string-name>
          <xref ref-type="aff" rid="aff4">4</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Oleg Fedorov</string-name>
          <xref ref-type="aff" rid="aff4">4</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Oleg Gress</string-name>
          <xref ref-type="aff" rid="aff4">4</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Oleg Grishin</string-name>
          <xref ref-type="aff" rid="aff4">4</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Andreas Haungs</string-name>
          <xref ref-type="aff" rid="aff5">5</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Tim Huege</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff5">5</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Yulia Kazarina</string-name>
          <xref ref-type="aff" rid="aff4">4</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Matthias Kleifges</string-name>
          <xref ref-type="aff" rid="aff3">3</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Dmitriy Kostunin</string-name>
          <xref ref-type="aff" rid="aff2">2</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Elena Korosteleva</string-name>
          <xref ref-type="aff" rid="aff6">6</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Leonid Kuzmichev</string-name>
          <xref ref-type="aff" rid="aff6">6</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Vladimir Lenok</string-name>
          <xref ref-type="aff" rid="aff5">5</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Nima Lubsandorzhiev</string-name>
          <xref ref-type="aff" rid="aff6">6</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Stanislav Malakhov</string-name>
          <xref ref-type="aff" rid="aff4">4</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Tatiana Marshalkina</string-name>
          <xref ref-type="aff" rid="aff4">4</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Roman Monkhoev</string-name>
          <xref ref-type="aff" rid="aff4">4</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Elena Osipova</string-name>
          <xref ref-type="aff" rid="aff6">6</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Alexander Pakhorukov</string-name>
          <xref ref-type="aff" rid="aff4">4</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Leonid Pankov</string-name>
          <xref ref-type="aff" rid="aff4">4</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Vasily Prosin</string-name>
          <xref ref-type="aff" rid="aff6">6</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Frank Gerhard Schroder</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
          <xref ref-type="aff" rid="aff5">5</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Dmitry Shipilov</string-name>
          <xref ref-type="aff" rid="aff4">4</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Alexey Zagorodnikov</string-name>
          <xref ref-type="aff" rid="aff4">4</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Astrophysical Institute, Vrije Universiteit Brussel</institution>
          ,
          <addr-line>Pleinlaan 2, Brussels</addr-line>
          ,
          <country country="BE">Belgium</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>Bartol Research Inst., Dept. of Phys. and Astron., Univ. of Delaware</institution>
          ,
          <addr-line>Newark</addr-line>
          ,
          <country country="US">USA</country>
        </aff>
        <aff id="aff2">
          <label>2</label>
          <institution>DESY</institution>
          ,
          <addr-line>Zeuthen</addr-line>
          ,
          <country country="DE">Germany</country>
        </aff>
        <aff id="aff3">
          <label>3</label>
          <institution>Institut fur Prozessdatenverarbeitung und Elektronik, KIT</institution>
          ,
          <addr-line>Karlsruhe</addr-line>
          ,
          <country country="DE">Germany</country>
        </aff>
        <aff id="aff4">
          <label>4</label>
          <institution>Institute of Applied Physics ISU</institution>
          ,
          <addr-line>Irkutsk</addr-line>
          ,
          <country country="RU">Russia</country>
        </aff>
        <aff id="aff5">
          <label>5</label>
          <institution>KIT, Institut fur Kernphysik</institution>
          ,
          <addr-line>Karlsruhe</addr-line>
          ,
          <country country="DE">Germany</country>
        </aff>
        <aff id="aff6">
          <label>6</label>
          <institution>Skobeltsyn Institute of Nuclear Physics MSU</institution>
          ,
          <addr-line>Moscow</addr-line>
          ,
          <country country="RU">Russia</country>
        </aff>
      </contrib-group>
      <abstract>
        <p>The Tunka Radio Extension (Tunka-Rex) is a cosmic-ray detector operating since 2012. The detection principle of Tunka-Rex is based on the radio technique, which impacts data acquisition and storage. In this paper we give a rst detailed overview of the concept of the Tunka-Rex Virtual Observatory (TRVO), a framework for open access to the Tunka-Rex data, which currently is under active development and testing. We describe the structure of the data, main features of the interface and possible applications of the TRVO.</p>
      </abstract>
      <kwd-group>
        <kwd>Cosmic rays</kwd>
        <kwd>Radio detectors</kwd>
        <kwd>Virtual observatory</kwd>
        <kwd>Open data</kwd>
        <kwd>Tunka-Rex</kwd>
        <kwd>Tunka-Rex Virtual Observatory</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>-</title>
      <p>Following the approach chosen in the German-Russian Astroparticle Data Life
Cycle initiative (GRADLCI) [1] we are preparing to publish the data of the
Tunka Radio Extension (Tunka-Rex) experiment under a free data license.</p>
      <p>Tunka-Rex is a digital antenna array located at the Tunka Advanced
Instrument for cosmic rays and Gamma Astronomy (TAIGA) observatory [2,3]. The
TAIGA setups can be divided in two main classes of installations: dedicated to
cosmic rays (Tunka-133 [4], Tunka-Rex [5] and Tunka-Grande [6]) and dedicated
to gamma rays (Tunka-HiSCORE [7] and TAIGA-IACT [8]). In Fig. 1 one can
see the layout of the facility and note that the cosmic-ray setups are grouped
in clusters: 19 clusters in a dense core and 6 satellite clusters. Each core cluster
is equipped with 3 Tunka-Rex antenna stations, while satellite clusters contain
one antenna station, each, and no Tunka-Grande scintillators.
500 m</p>
      <p>For the time being, Tunka-Rex consists of 57 antenna stations located in the
dense core of TAIGA (1 km2) and 6 satellite antenna stations expanding the
sensitive area of the array to 3 km2. Tunka-Rex has been commissioned in 2012
with 18 antenna stations triggered by the air-Cherenkov array Tunka-133. In
the following years, Tunka-Rex was upgraded several times. The TAIGA facility
was enhanced by the Tunka-Grande scintillator array providing a trigger for
Tunka-Rex since 2015. One can see the timeline of the Tunka-Rex development
in Fig. 2.</p>
      <p>Each Tunka-Rex antenna station consists of two perpendicular active Short
Aperiodic Loaded Loop Antennas (SALLA) [9] pre-ampli ed with a Low Noise
Ampli er (LNA). Signals from the antenna arcs are transmitted via 30 m coaxial
cables to an analog lter-ampli er, which cuts the frequency band to 30-80 MHz.
The ltered signal is then digitized by the local data acquisition system (DAQ)
with a 12 bit-sampling at a rate of 200 MHz; the data are collected in traces of
1024 samples each. Each element of this signal chain has been calibrated under
laboratory conditions, which resulted in the instrument response function (IRF)
de ning the resulting digital traces recorded by the DAQ (see Fig. 3) For the
reconstruction of the original signal, the inverse IRF is convoluted with the raw
data. This convolution de nes the data layers (DL) de ned below.</p>
      <p>The distinguishing feature of the broadband radio detectors is that they
can be used both for radio astronomy and astroparticle purposes (e.g. ultra-high
neutrino and cosmic-ray detection) depending on the con guration and operation
mode. For example, the core of the LOFAR antenna array has been successfully
applied for cosmic-ray detection [10]; meanwhile the proposed air-shower array
GRAND aims also at astronomy goals [11] Therefore, we will extend the concept
of KCDC [12] and implement additional features in our framework for open data,
which will result in the Tunka-Rex Virtual Observatory (TRVO).
2</p>
    </sec>
    <sec id="sec-2">
      <title>Structure of the Tunka-Rex data</title>
      <p>In this section we provide a general description of the Tunka-Rex data types,
their structure, and their connection with the hardware of the experiment and
observed phenomena.</p>
      <p>E-FielVdOC(ν)=H(ν)E</p>
      <p>VOC(ν)=H(ν)E(Vν)LNA</p>
      <p>LNA</p>
      <p>ADC
As described above, raw Tunka-Rex data consist of traces recorded for each
antenna from the DAQ bu er after receiving an external trigger. The data on
an antenna station can be described by the following elds:
{ Trace ID: unique identi er of the trace
{ Antenna ID: identi er of the antenna station, enumerated with the
following convention: 1-25 (1st generation), 31-49 (2nd generation), 61-79 (3rd
generation)
{ Timestamp: oat number of the GPS time of the event with nanosecond
precision
{ Version: the version of the data release (DR)
{ Traces: serialized arrays (two channels or three electric- eld components)
each with 1024 elements, either integer of oat number depending on the DL
{ Flags: additional ags describing the status of the antenna station, e.g.</p>
      <p>operation, malfunction, calibration, etc.</p>
      <p>As will be described below, DL0-2 di ers only in the way of the representation
of the Traces eld.
2.2</p>
      <sec id="sec-2-1">
        <title>Calibration data</title>
        <p>The calibration data de nes the instrument response function and is used for
simulation and for reconstruction. Moreover, it re ects the location of the antenna
station (antennas can be re-located and re-aligned) and its hardware con
guration, since some components were occasionally replaced due to malfunction.
Thus, each antenna station is described by the following calibration data:
{ Commission: timestamp of the commission of con guration
{ Decommission: timestamp of the decommission of con guration
{ Antenna ID: identi er of the antenna station (identical to ID in raw data)
{ LNA ID: identi er of the low noise ampli er
{ Filter ID: identi er of the lter-ampli er
{ X, Y, Z: coordinates of the antenna station in local coordinates
{ Alignment: alignment of the antenna station with respect to the magnetic</p>
        <p>North (the initial alignment of 45 slightly changed over time)
Besides these time-dependent properties of the antenna station, the calibration
is de ned by the phase and gain response of the antennas and the signal chain.
2.3</p>
      </sec>
      <sec id="sec-2-2">
        <title>Supplementary data</title>
        <p>The supplementary data describe observation conditions, and are shared with
the other TAIGA setups. A detailed description of this type of data is given
in the same proceedings in Ref. [13]. The most important supplementary data
for Tunka-Rex are Trigger (operation mode, thresholds, online/o ine clusters,
etc.) and Environment (temperature, pressure, humidity, magnetic eld, etc).
2.4</p>
      </sec>
      <sec id="sec-2-3">
        <title>Air-shower data</title>
        <p>Since Tunka-133 and Tunka-Grande, which provide the trigger for Tunka-Rex,
feature an independent reconstruction of air-shower events, the combination of
the data from all three setups can improve the reconstruction of the primary
cosmic ray. The data structure for the particle detectors is described and
implemented in the frame of KCDC, and the Tunka-Grande event reconstruction
perfectly ts to this system. Because Tunka-133 and Tunka-Rex perform
calorimetric measurements, their elds di er and are described as:
{ UUID: universally unique identi er1 of the event. The UUID is chosen in order
to avoid collisions during distributed data acquisition
{ Timestamp: oat number of the GPS time of the event with nanosecond
precision
{ Theta, Phi: Arrival direction (zenith and azimuth angles)
{ X, Y, Z: Coordinates of the shower core
{ Energy: Energy of the primary particle
{ Xmax: Depth of the shower maximum
{ Particle: Type of the primary particle
Besides the reconstruction of the air-shower and primary particle properties the
signals at the individual antenna stations of Tunka-Rex and at the optical
modules of Tunka-133 are described by the following elds: Timestamp, Amplitude,
SNR, Width, Power, etc.
3</p>
      </sec>
    </sec>
    <sec id="sec-3">
      <title>Data layers</title>
      <p>In this section we describe the naming conventions for the data layers in the
TRVO. DL0-2 are organized in the standard structure described above: Station
+ Calibration + Supplementary data, while the DL3+ can have additional entries,
e.g. cosmic-ray events, radio bursts, etc.</p>
      <p>Data Layer 0 consists of raw traces recorded by the ADCs, i.e. arrays
containing values in the range [0;4095]. These data are intended to be used in
case of recalibration/debugging of the instrument and are not recommended for
the external application.</p>
      <p>Data Layer 1 consists of the traces containing voltages at the antenna
stations (i.e. antenna-induced voltages) obtained after unfolding the raw traces
1 https://www.itu.int/en/ITU-T/asn1/Pages/UUID/uuids.aspx
from the hardware response of Tunka-Rex ampli ers, lters, and cables. From
these values the electrical eld at the antenna station can be reconstructed using
the speci c antenna pattern and direction of incoming radio wave.</p>
      <p>Data Layer 2 consists of the traces containing voltages converted to the
values of electrical eld at the antenna stations. Depending on the data release,
the electrical elds will be calculated for air-shower events (DL2-AIRSHOWER), for
astronomical objects (DL2-ASTRONOMY), or for any other kind of measurements,
e.g. background, RFI, etc (DL2-OTHER).</p>
      <p>Data Layer 3+ will contain high-level reconstruction of radio data, i.e.
quantities obtained after sophisticated processing and analyzing of radio traces.
These data can be represented in tables, histograms, FITS les, etc.
4</p>
    </sec>
    <sec id="sec-4">
      <title>Storage of the data</title>
      <p>Since the main Tunka-Rex data are represented as a linear set, we have decided to
use a relational database based on an open engine such as MySQL or PostgreSQL.
The raw data from the single antenna station have a relatively small size (few
KiB) and can be stored entirely in a single row of the SQL table. We have
deployed several testing databases with Tunka-Rex events on the servers of the
Irkutsk State University (ISU) and the Karlsruhe Institute of Technology (KIT).
The expected number of entries in the database from several data releases is in
the order of billions which result in TiB scale of DB. Currently we are testing
the performance of the database and implementing a user interface and basic
features.
5</p>
    </sec>
    <sec id="sec-5">
      <title>Access to the data</title>
      <p>As mentioned in the previous section, for the time being we are working on the
implementation of a client for TRVO, which features basic access to the primary
data and a plugin extension for more sophisticated quality cuts. Plugins will
provide an interface to the DB and allow for end-user implemented scripts for
online data analysis, quality cuts, and other preprocessing manipulations of data.
Below we give the description of two initial plugins which will be delivered by
default.
5.1</p>
      <sec id="sec-5-1">
        <title>Cosmic-ray event builder</title>
        <p>Since the metadata of cosmic-ray events reconstructed by Tunka-Rex will be
integrated in the common GRADLCI framework, TRVO will only provide an
index of events reconstructed by Tunka-Rex (DL3) and the connection between
corresponding data layers. The query engine supports backward compatibility,
and data can either be selected by TRVO directly of via the GRADLCI metadata
engine (with support of joint analysis including third-party data).
Besides access to cosmic-ray events, we will provide astronomy-related tools for
the direct manipulation with radio traces: band-stop, band-pass, and median
lters, beam-former, skymap builder, and others.
The previously published Tunka-Rex datasets and software can be found at the
following URL: http://soft.tunkarex.info; the o cial Mercurial repository
of the Tunka-Rex software can be found on Bitbucket: https://bitbucket.org/
tunka. We plan to use the astroparticle.online platform for future releases.
6</p>
      </sec>
    </sec>
    <sec id="sec-6">
      <title>Application of the Tunka-Rex Virtual Observatory</title>
      <p>Since the primary goal of Tunka-Rex is the detection of cosmic rays, the main
application of TRVO is providing access to the high-level reconstruction of air
showers (DL3+). The architecture of this part of the Virtual Observatory has
already been developed in the frame of KCDC and we do not plan to depart from
this concept signi cantly. Besides public access to cosmic-ray data of the TAIGA
observatory, the radio data can be used for cross-calibration of di erent
cosmicray experiments, as shown in Ref. [14]. Below we discuss unique features of the
Tunka-Rex archival data and their application to current and future research (it
is worth noting, that the Tunka-Rex trigger is tuned for cosmic-ray detection
and the selection from the archival data might be signi cantly biased and can
be used only for tentative studies).</p>
      <p>{ Studies of the radio background in the frequency band of 30-80 MHz.
Nowadays there are only few radio telescopes operating in this frequency band,
moreover these telescopes operate in an interferometric mode. They correlate
the radio signal using beam-forming and record the resulting correlation,
while radio arrays aimed at cosmic-ray detection record full uncorrelated
time series. The broadband measurement of radio background in this
frequency band is of special interest to search for a possible cosmological signal
from neutral hydrogen. Since this signal has a signal-to-noise ratio (SNR)
of about 10 5, understanding of systematic uncertainties is crucial for this
type of measurements. The Tunka-Rex child experiment, Tunka-21cm, tests
the possibility of application of cosmic-ray detectors for studies of this
cosmological signal, and is a rst user of DL2-BACKGROUND and DL2-ASTRONOMY.
{ Searching for radio transients. Obviously archival data can be used for
searching for astronomical transients in this frequency band. The e ective exposure
of Tunka-Rex provides only a very small probability of detection of any kind
of transients. However, the archival data can be used for the test of detection
techniques for future multi-purpose detectors.
{ Training of neural networks for RFI tagging. It was shown, that deep learning
can improve the signal reconstruction of radio detectors when using an
autoencoder architecture [15,16,17], because neural networks are able to learn
features of the background and can be used for either denoising of radio
traces or tagging of traces containing special features. It is worth noting,
that the present Tunka-Rex autoencoder is trained on a dataset containing
less than 1% of all Tunka-Rex background traces, what promises signi cant
improvements by using larger training samples extracted from TRVO.
{ Outreach and education. Open data implies outreach and educational
activities, and we support this activities. TRVO will be used as educational
platform in the outreach part of the GRADLCI [18] and astroparticle.online
projects. At the rst stage we use the Tunka-Rex hardware, software, and
simulations for the training of students of the Physics Department of ISU.
Last but not least, the developed framework can be applied to future arrays:
GRAND [11] and radio extensions of the Pierre Auger Observatory [19] and the
Tien-Shan cosmic-ray setup [20].
7</p>
    </sec>
    <sec id="sec-7">
      <title>Conclusion</title>
      <p>The Tunka-Rex Virtual Observatory provides open access to the data of
experiments measuring cosmic rays with radio technique. We plan to combine both
astroparticle- and astronomy-related features in TRVO and provide fast and
user-friendly access with the possibility of custom scripting for complex
preselection and preprocessing of the data. The rst databases have already been
deployed and are now under internal testing. Besides users from the education
sector (ISU) and partner experiments (TAIGA) we have requests from the
recently established engineering setup Tunka-21cm aimed at astronomical goals.</p>
    </sec>
    <sec id="sec-8">
      <title>Acknowledgements</title>
      <p>
        This work was supported by Russian Science Foundation Grant 18-41-06003
(Section 2), Helmholtz Society Grant HRSF-0027 and by Russian Foundation
for Basic Research Grant 18-32-20220. We thank the members of KCDC and
GRADLCI for the fruitful discussions and support of the deployment of testing
databases.
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    </sec>
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