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  <front>
    <journal-meta>
      <journal-title-group>
        <journal-title>Positioning and Indoor Navigation, September</journal-title>
      </journal-title-group>
      <issn pub-type="ppub">1613-0073</issn>
    </journal-meta>
    <article-meta>
      <title-group>
        <article-title>Module for Ground Verification System of Satellite Based Augmentation System (SBAS)</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Inone Joo</string-name>
          <email>inone@etri.re.kr</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Cheon Sig Sin</string-name>
          <email>cssin@etri.re.kr</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Jae Hwan Bong</string-name>
          <email>drbong@smu.ac.kr</email>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Seongkyun Jeong</string-name>
          <email>skjeong@smu.ac.kr</email>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Workshop</string-name>
        </contrib>
        <contrib contrib-type="editor">
          <string-name>Augmentation System, Signal Generation, Quality Monitoring</string-name>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Electronics and Telecommunications Research Institute (ETRI)</institution>
          ,
          <addr-line>218, Gajeong-ro, Yuseong-gu, Daejeon</addr-line>
          ,
          <country country="KR">South Korea</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>Sangmyung University</institution>
          ,
          <addr-line>31, Sangmyeongdae-gil, Dongnam-gu, Cheonan-si, Chungcheongnam-do</addr-line>
          ,
          <country country="KR">South Korea</country>
        </aff>
      </contrib-group>
      <pub-date>
        <year>2025</year>
      </pub-date>
      <volume>1</volume>
      <fpage>5</fpage>
      <lpage>18</lpage>
      <abstract>
        <p>The satellite-based augmentation system (SBAS) transmits correction data through satellites, and navigation receivers utilize this correction data to improve the accuracy of the Global Navigation Satellite System (GNSS). In order to implement the SBAS, ground equipment that generates correction signals is required. If a ground verification system is developed, it can be utilized to verify the performance and function of the system on the ground before the full construction of the augmentation system, and check the transmission and reception status of test messages. The ground verification system includes a signal generator. A module that performs signal quality test must be installed in the system to check the quality status of the signal generated by the signal generator. In this study, a signal quality test algorithm required for the ground verification system of the satellite-based augmentation system was designed. The test was performed using the SBAS signal to confirm the possibility of module development. The developed module can be applied to a ground verification system and used to verify the generated signal.</p>
      </abstract>
      <kwd-group>
        <kwd>Augmentation</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
      <p>
        Global Navigation Satellite Systems (GNSS) provide position and time information to users using
navigation satellites. GNSS have been used in military and transportation applications that require
position information. Their applications have gradually expanded. Currently, GNSS have become
essential components in a wide range of technologies such as Internet of Things and smart devices[
        <xref ref-type="bibr" rid="ref1 ref2">1, 2</xref>
        ].
GNSS signals contain errors that are induced during measurement and transmission processes. The
satellite positions and timing information provided by navigation satellites contain error elements,
and additional errors are induced as signals pass through the ionosphere and troposphere during
transmission. GNSS calculates users’ positions and time based on information such as system time
synchronization, navigation satellite positions, and signal transmission times. As error elements
are always included in GNSS signals, the accuracy of the calculated user position decreases. While
various correction techniques are applied to minimize measurement and transmission errors, perfect
elimination of these errors is dificult. Satellite-based Augmentation System (SBAS) uses satellites
to transmit correction information to satellite navigation receivers to improve positioning accuracy
by reducing position errors in GNSS. The correction information includes satellite position errors,
clock errors, and ionospheric errors, which receivers can use to improve positioning accuracy. Unlike
conventional navigation satellites, satellites used in SBAS cannot generate signals on the satellite itself.
Instead, correction information signals are generated on the ground, and the augmentation satellite
serves as a relay. Therefore, ground systems must control signals so that receivers can receive correction
(S. Jeong)
      </p>
      <p>CEUR</p>
      <p>
        ceur-ws.org
information signals under the same conditions as other navigation satellites. Signal control accounts for
the fact that the signal passes through the atmosphere twice during uplink and downlink transmission,
requiring adjustment of code and carrier frequencies. When developing a SBAS, it is advisable to
develop a ground verification system in the early stages to perform signal generation and validation
on the ground, and subsequently expand to include satellite transmission and reception checks [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ].
The ground verification system integrates signal generation, transmission, and reception processes to
facilitate signal generation and validation. To ensure the quality of generated signals, it is necessary
to inspect received signals to verify whether they meet the requirements for correction signals. In
this study, we analyzed the requirements for a signal quality test module to inspect the quality of
signals generated in the ground verification system of a SBAS, derived test techniques based on these
requirements, and designed a signal quality test module for the ground verification system of a SBAS.
      </p>
    </sec>
    <sec id="sec-2">
      <title>2. Signal Generation System for SBAS Ground Verification System</title>
      <sec id="sec-2-1">
        <title>2.1. Functions and Configuration of the Ground Verification System</title>
        <p>
          The ground verification system verifies the functionality and performance of relay equipment for the
augmentation system to be mounted on satellites, and validates algorithms of the ground station for the
augmentation system. Figure 1 shows the functional concept diagram of the ground verification system.
As shown in Figure 1, the ground verification system includes a Signal Generation Subsystem (SGS)
that generates augmentation signals and a Radio Frequency Subsystem (RFS). The SGS is responsible
for generating test correction messages and controlling signal timing according to GPS time, while the
RFS performs the function of connecting the geosynchronous equatorial orbit (GEO) satellite with the
ground verification system, transmitting the generated signals to the satellite. The SGS for the ground
verification system must have the capability to generate test correction messages and to generate and
receive L1/L5 signals, which serve as augmentation signals. As shown in Figure 2, which illustrates the
system architecture proposed in [
          <xref ref-type="bibr" rid="ref3">3</xref>
          ], the SGS performs the functions of correction message generation,
signal generation, and transmission, while ensuring appropriate signal adjustments to satisfy signal
characteristics similar to GPS. For signal generation and control, the SGS must control the code and
carrier of L1/L5 signals individually to ensure that L1/L5 signals are synchronized based on GPS time
at the phase center of the satellite’s transmitting antenna. Furthermore, signals must be adjusted so
that the code and carrier of the signals are synchronized both with each other and with the satellite
navigation signals at the phase center of the satellite’s transmitting antenna. Generated signals are
transmitted to receivers through a ground loop or satellite loop. The signals received by the satellite
navigation receiver are analyzed to inspect signal quality. Through the inspection results, the quality of
signals generated by the SGS can be guaranteed.
        </p>
      </sec>
      <sec id="sec-2-2">
        <title>2.2. Requirements for Correction Signal Quality Inspection</title>
        <p>
          The SGS uses received measurement data to inspect GPS time synchronization ofset errors, carrier
frequency stability, and code/carrier coherency for verifying the quality of L1/L5 signals [
          <xref ref-type="bibr" rid="ref4">4</xref>
          ]. Signals
generated by the signal generation system must be synchronized with GPS time within a certain
error margin at the antenna phase center of the geosynchronous orbit satellite, with an ofset error
performance within 100 ns. The ofset error must satisfy the requirement as a 3 value for satellite
navigation receivers to meaningfully use the range information of the satellite navigation augmentation
system signal. The stability of the carrier frequency requires that the L1 and L5 frequencies at the
antenna phase center are better than 5 × 10−11 over 1 to 10 seconds. When calculating the carrier
frequency stability, the signal does not consider the ionosphere and Doppler efect. The requirement
for short-term code carrier coherency is that the change in code phase and the change in carrier phase
within a short time of less than 10 seconds should be within 5 × 10−11 based on 1 . For short-term code
carrier coherency, the divergence that occurs as the augmentation signal passes through the ionosphere
is not considered, so the ionospheric delay in the measurement data must be corrected [
          <xref ref-type="bibr" rid="ref5">5</xref>
          ]. Finally, the
requirement for long-term code carrier coherency is that the diference between the change in code
phase and the change in carrier phase over a long period of 100 seconds should not exceed 1 cycle
(1 ). Similar to the short-term code carrier coherency calculation, the divergence that occurs as the
augmentation signal passes through the ionosphere is not considered, so for signals received from
satellites, ionospheric delay must be corrected before calculating the diference [
          <xref ref-type="bibr" rid="ref5">5</xref>
          ].
        </p>
      </sec>
    </sec>
    <sec id="sec-3">
      <title>3. Design of Signal Quality Test Algorithm</title>
      <p>
        Inspection techniques for GPS time synchronization ofset error, carrier frequency stability, short-term
code/carrier coherency, and long-term code/carrier coherency were designed to test compliance with
the requirements presented in Section 2. Each inspection technique uses pseudorange measurements,
carrier phase measurements, and Doppler measurements of the augmentation satellite measured by
satellite navigation receivers. The implemented signal quality test simulation processes user-defined
inputs including measurement data, simulation time parameters, and signal quality requirements.
The simulation generates output consisting of signal inspection results, visual graphs, and status
indicators to determine whether tested signals meet the specified requirements. The test for GPS
time synchronization ofset error was performed using the precision of time diference between GPS
and augmentation satellite signals. In satellite navigation systems, time is reflected in pseudorange
measurements since distance between satellites and receivers is measured based on time. Therefore,
the time diference was calculated by computing the diference between the expected pseudorange and
the measured pseudorange of the augmentation satellite. Equation 1 shows the delay time calculation,
which divides the diference in pseudoranges by the speed of light [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ]. In Equation 1, τ is the delay time,
ρ ̂ is the expected pseudorange, ρ is the measured pseudorange, and c is the speed of light.
 =
 −̂
      </p>
      <p>3 ( ) &lt; 100 ns
The standard deviation of the delay time was calculated and used in Equation 2. Based on the
requirements in Section 2, the threshold value was set to 100 ns, and the standard deviation multiplied by 3 must
remain under this value. When this threshold is met, the requirement of the GPS time synchronization
ofset error is satisfied, and the signal quality is determined to be good.</p>
      <p>
        If a receiver provides pseudorange standard deviation in its output data, the standard deviation output
by the receiver can be directly used for the GPS time synchronization ofset test. The carrier frequency
stability test examines Doppler frequency values against the reference carrier frequency. For testing
frequency stability between 1 and 10 seconds, Allan deviation was calculated and compared with the
requirement to determine whether signal quality meets the requirements. Equations 3 show the Allan
Variance calculation for L1 and L5 frequency stability tests [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ]. In Equations 3,  ,1
and  ,5
are
Doppler frequencies for L1 and L5 signals.  ,1
and  ,5
are center frequencies for L1 and L5, which
are 1575.42 MHz and 1176.45 MHz, respectively. In the frequency stability test, Allan deviation was
calculated as in Equations 3, and the calculated Allan deviation must remain below the threshold value
of 5 × 10−11 to confirm acceptable performance.
      </p>
      <p>1 = Allan Variance (
5 = Allan Variance (
√  &lt; 5 × 10
−11
 ,1
 ,1
 ,5
 ,5
)
)
The short-term code carrier coherency test used code measurements and carrier measurements to check
whether the code and carrier generated over a short period of 1 to 10 seconds maintain coherency
without divergence. The code frequency and carrier frequency were divided by their respective reference
frequencies to create dimensionless values, and coherency was tested using the diference between
these values. Equations 4 show how to calculate code and carrier frequencies. In Equations 4,   is the
code frequency,  0 is the base frequency of the code, Δ  is the change in code frequency,  is the speed
(1)
(2)
(3)
of light, and  ̇ is the time rate of change of pseudorange. Equations 4,   is the carrier frequency,  0 is
the base frequency of the carrier, Δ  is the change in carrier frequency, and  ̇ is the time rate of change
of carrier measurements.</p>
      <p>As shown in Equation 5, the code and carrier frequencies are normalized by dividing by the base
frequency of the code and the base frequency of the carrier, respectively. Their diference was compared
to the threshold value (5 × 10−11) to confirm acceptable signal quality.</p>
      <p>=  0 + Δ  =  0 −  0  ̇
  =  0 + Δ  =  0 −  ̇</p>
      <p>|
Δ  −
 0
Δ 
 0</p>
    </sec>
    <sec id="sec-4">
      <title>4. Implementation and Testing of the Signal Quality Test Simulation</title>
      <p>We applied the algorithms designed in Chapter 3 to test signals received from an actual satellite
navigation augmentation system and signals generated by the SGS of the ground verification system
to perform quality tests. Figure 3 shows the data collection environment used for the test. Two types
of signals were collected: signals from the Korean Augmentation Satellite System (KASS) and signals
generated by the SGS of the ground verification system. The KASS began test services in 2023 and has
been providing full service since 2024. The KASS provides satellite-based augmentation services in
the Korean Peninsula area. Both KASS signals and SGS signals were synthesized and simultaneously
received by the satellite navigation receiver. The test data was collected for 10 hours. The collected
data went through a decoding process to extract the measurements needed for testing. These extracted
measurements were used as inputs for each test algorithm for analysis. Figure 4 shows the results
of the GPS time synchronization ofset error test using the L1 signal. The blue and red solid lines
represent the GPS time synchronization ofset error and the threshold derived from the requirements,
respectively. Figure 4(a) shows the test results using KASS data, with an average value over 10 hours
of 7.81 ns. Figure 4(b) shows the test results using SGS data, with an average value of 7.13 ns. Both
KASS and SGS signal data maintained GPS time synchronization ofset errors below the threshold value
of 100 ns over 10 hours, satisfying the requirements and demonstrating good signal quality. KASS
data includes error components during transmission from the augmentation satellite, while SGS data
is input directly from the signal generator to the receiver, making SGS data more stable than KASS
data. The GPS time synchronization ofset error test results using the L5 signal also showed good
signal quality, similar to the L1 signal test results. The average values were calculated as 8.51 ns for
KASS data and 6.51 ns for SGS data. As with the L1 signal, SGS data was more stable than KASS data.
Furthermore, the test results confirmed that the L5 signal was more stable compared to the L1 signal.
lines represent the Allan deviation for the carrier frequency stability and the threshold, respectively.
Test results using KASS data and SGS data are shown in Figure 5(a) and Figure 5(b). Analysis using Allan
variance showed that both data sets met the threshold requirements. The test results confirmed that SGS
data had more stable frequency compared to KASS data. Figure 6 shows the results of the short-term
code carrier coherency test. The blue, black, and red solid lines represent the Allan deviations of L1
signals, the Allan deviations of L5 signals, and the threshold, respectively. Figure 6(a) and Figure 6(b)
show the test results for KASS data and SGS data. Examining the Allan deviation, the L1 signal in
both data sets exceeded the threshold value of 5 × 10−11 between 1 and 10 seconds, failing to meet
the requirements. For the L5 signal, KASS data exceeded the threshold from 1 to 6 seconds, and SGS
data exceeded the threshold from 1 to 3 seconds, failing to meet the requirements during these periods.
After these periods, both data sets were below the threshold, meeting the requirements. Although SGS
signals do not pass through the atmosphere and satellite, and both the GPS time synchronization ofset
error test and the carrier frequency stability test confirmed their stability, SGS signals still failed to
meet the requirements in the short-term code carrier coherency test. The failure to meet short-term
code carrier coherency requirements despite stable signal conditions confirms that requirements are
very stringent. The short-term code carrier coherency requirement is one of the conditions necessary
for using augmentation signals as additional navigation satellites, and even if the requirement is not
satisfied, there is no problem with the function of transmitting augmentation information. However,
additional research and analysis are needed to meet the requirements for using augmentation signals as
pseudorange sources for additional navigation satellites. Figure 7 shows the results of the long-term
code carrier coherency test. The blue, black, and red solid lines represent the Allan deviations of L1
signals, the Allan deviations of L5 signals, and the threshold, respectively. Figure 7(a) and Figure 7(b)
show the test results for KASS data and SGS. Both data sets met the requirements with test results less
than one cycle. The Allan deviation analysis from 1 to 100 seconds revealed that SGS data exhibited
smaller values than KASS data, demonstrating superior signal quality. Similarly, the L5 signal showed
smaller values compared to the L1 signal, indicating better signal quality. The test results show that the
requirements for the long-term code carrier coherency test are more relaxed compared to the short-term
code carrier coherency requirements. KASS data and SGS data have already been confirmed to have
acceptable signal quality. Experimental results demonstrated that both data sets met most requirements
when the designed signal quality test algorithms were applied. These experimental outcomes validated
the applicability of the designed algorithms to signal quality testing of SBAS. The designed signal quality
test algorithms efectively represented the characteristics of L1/L5 signals from both the currently used
KASS and the SGS, enabling efective monitoring of signal quality status.</p>
    </sec>
    <sec id="sec-5">
      <title>5. Conclusion</title>
      <p>SBAS provide correction information across wide areas, making them highly efective for improving
navigation performance for numerous satellite navigation users. The development of SBAS represents
a necessary field for continuously enhancing satellite navigation system performance. Developing a
ground verification system as a preliminary step in the SBAS development process holds significant
importance. The ground verification system must include functionality to inspect the signal quality
of generated augmentation signals. This study designed signal quality test algorithms for ground
verification systems. Signals from the Korean Augmentation Satellite System (KASS), currently in
operational service, and signals from a signal generator were tested using the implemented algorithms
to validate system application feasibility. The designed signal quality test algorithms demonstrate high
utility potential for testing augmentation signals in future ground verification system implementations.
Future work should expand beyond current augmentation signal requirements to develop additional
inspection methods in terms of signal characteristics, measurement techniques, and data analysis. These
enhancements would enable comprehensive signal quality assessment of ground verification systems
from multiple technical perspectives.</p>
    </sec>
    <sec id="sec-6">
      <title>6. Acknowledgments</title>
      <p>This paper was supported by research funding from the Aviation Safety Technology Development
Project of the Ministry of Land, Infrastructure and Transport (2021GEOS-C164591-01), and we thank
you for the support.</p>
    </sec>
    <sec id="sec-7">
      <title>Declaration on Generative AI</title>
      <p>Or (by using the activity taxonomy in ceur-ws.org/genai-tax.html):
During the preparation of this work, the authors used Claude-3.7 in order to: Grammar and spelling
check. After using this tool, the authors reviewed and edited the content as needed and take full
responsibility for the publication’s content.</p>
    </sec>
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