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Sensitivity of Interference to Locations of Vehicle-Mounted Earth Stations
Vijitha Weerackody
The Johns Hopkins University, Applied Physics Laboratory
11100 Johns Hopkins Road, MD 20723
Email: [email protected]
Abstract—Adjacent satellite interference from a satellite ter-minal depends on its location. Vehicle-mounted Earth stations(VMES) are mobile terminals and in many applications thelocations of the VMES may be available only as approximatevalues. In this paper we investigate the effect on the adjacentsatellite interference when the locations of the VMES are givenby approximate values.
I. INTRODUCTION AND BACKGROUND
Vehicle-Mounted Earth Stations (VMES) are new ter-
minals with applications in both commercial and military
sectors. These are mobile terminals that use small aperture
antennas and may operate using time- or frequency-division
multiple access schemes. To facilitate the use of VMES new
regulations and standards are currently being established
[1], [2], [3]. Because these terminals may operate in shared
frequency bands with existing satellite and terrestrial ser-
vices, satellite operators and regulators are concerned about
potential interference from these terminals. To alleviate
such concerns rules are currently being adopted that may
require accurate determination and storage of the location
of the VMES terminal. These requirements are necessary
to confirm that the VMES is operating in compliance with
the applicable regulations and without harmful interference.
Moreover, location information of the VMES are necessary
to determine the interference levels at a victim receiver.
In this paper we investigate in detail the effect of the
location accuracy of the VMES terminal on the interference
to adjacent satellites. This analysis is very useful because
accurate location recording requirements add to the cost and
complexity of the VMES network.
Because accurate locations of the VMES may not be
available in some applications, it is useful to estimate the
interference when the locations of the VMES are specified
as approximate values rather than actual values. In this paper
a methodology is given to estimate the interference resulting
from VMES located at these approximate locations. In cases
when it is necessary to estimate the actual interference,
it is shown that the estimated interference obtained using
approximated locations can be modified by adding an error
term to give the actual interference. Also, we examine the
impact of the equivalent isotropically radiated power (EIRP)
level of the VMES on the interference level and demonstrate
that the VMES may operate at slightly reduced EIRP levels
so that the actual interference is less than the estimate
interference using the approximated locations for most of
the time.
In general, because of factors such as mobility of the
terminals, multiple access protocol and antenna pointing er-
rors, interference from VMES terminals is a random process.
Therefore, in this analysis we use statistical measures to
quantify the sensitivity of the interference to the location
of the terminal. The specific approach to this analysis is
described in Section II.
II. OVERVIEW OF ANALYSIS
In this paper we carry out a statistical analysis of the
interference power spectral density (PSD) that is received
at a victim receiver of an adjacent satellite network. It
is assumed that all link parameters necessary to compute
this interference PSD are available. However, the actual
locations of the terminals are not available but they are
approximated by a set of predetermined grid points as
described below. The location error of a terminal is given
by the difference between the actual location of the terminal
and its approximated value. The interference PSD computed
using these approximated location data of the terminals
could be more or less than its actual value resulting in,
respectively, overestimation or underestimation of the inter-
ference PSD. The difference in interference PSD when the
actual and approximated location data are used is computed
and its cumulative distribution function (CDF) obtained as a
function of the location error of the terminals. Furthermore
the error in the interference PSD, which is the difference
between the interference PSDs when they are computed
using the actual locations and their approximated values,
is analyzed as a function of the distance between adjacent
grid points and the EIRP of the terminals.
The specific steps used in this analysis are described as
follows.
• Step 1. Compute the interference PSD to a victim
receiver in an adjacent satellite network and estimate
its cumulative distribution function (CDF). This step
makes use of the actual locations of the terminals and
the relevant link parameters of the satellite networks.
• Step 2. In this step the interference PSD is estimated
using the approximated locations of the terminals.
Quantize the spatial region where the terminals are
2013 IEEE Military Communications Conference
978-0-7695-5124-1/13 $31.00 © 2013 IEEE
DOI 10.1109/MILCOM.2013.309
1832
2013 IEEE Military Communications Conference
978-0-7695-5124-1/13 $31.00 © 2013 IEEE
DOI 10.1109/MILCOM.2013.309
1832
operating to a finite set of grid points. These grid points
may be determined apriori and the spacings between
adjacent points determine the accuracy of the location
of the terminal.
– Step 2 (a). Approximate the location of each termi-
nal to one of the grid points, preferably the nearest.
The location error in this case is the difference
between the actual location of the VMES and its
approximated location to this grid point.
– Step 2 (b). Estimate the interference PSD and its
CDF assuming that the locations of the terminals
are given by these approximated grid points.
• Step 3. Determine the difference in the interference
PSDs obtained when using the actual locations of the
terminals and their approximated locations. This is the
error in the interference PSD. Determine its statistics
and the CDF.
A. Application of the Analysis
As noted in Section I this analysis could be used in the
following two approaches. In both approaches the locations
of VMES are specified by their approximate grid points and
this information is stored in the network for future reference.
In the first approach the interference PSD is estimated
using these approximate grid points and this estimate is
made available for any interference assessments by adjacent
satellite operators. Additionally, a statistical variable that
corresponds to the error in the interference PSD is provided.
Satellite operators could use this error term to modify the
estimated interference PSD in order to obtain the actual
interference PSD.
In the second approach the EIRP of the VMES are
reduced by a predetermined level. This can ensure that the
interference PSD estimated using the approximated locations
is less than its actual interference PSD only for a small
fraction of time.
III. SYSTEM MODEL
Figure 1 shows the terminals from the interfering and
the victim satellite networks. The transmit terminals of the
interfering network are denoted by Ti as shown here. This
figure also shows the victim and interfering satellites, Sv
and Si, wanted (victim) transmit terminal Tv , and victim
receive terminals Rv . The spatial location of the Terminal
Ti is denoted by the variable r, which is in general a three-
dimensional variable corresponding to the spatial coordi-
nates of that location. The interfering terminals are operating
in a time-division multiple access manner with only a single
terminal transmitting at a particular time instant in a narrow
frequency band of interest. In Figure 1 it is assumed that the
Satellites Sv and Si employ the same frequency translation
from the uplink to the downlink. If this is not the case the
downlinks from Si and Sv to Rv correspond to terminals
from different interfering networks.
Ci�
SV – Victim satellite
RV – Victim receiver Ti – Interfering
transmitter
Wanted signal
Si – Interfering satellite
ψr,v
ηiβi,r
r rv
Cv�
O Ti
Ti
TV – Wanted (victim) transmitter
ψv,i
βv,r
ηV
Figure 1. Interference paths from Terminal Ti to the victim receiver Rv ,via Satellites Si and Sv . Ci and Cv denote the beam centers of Si andSv on the Earth surface; O is the origin from which the distances to theterminal locations are measured.
Further details of this interference model and methodolo-
gies to assess the interference are given in Recommendation
ITU-R S. 2029 [3]. As stated in the preceding section, the
focus of this work is on investigating the effect on the
interference when it is estimated assuming that the locations
of the interfering terminals are approximated by a set of
quantized values of r.
A. Interference Power Spectral Density at the Victim Re-ceiver
In this problem the interfering terminals are transmitting
in a random manner, and in a given time instant only a
single terminal located at r is sending data. Therefore, the
time instant at which a particular interfering terminal is
transmitting can be represented by the location-dependent
random variable, r, and the probability density function
(PDF) of this random variable is denoted by pr. When
all the interfering terminals are in a Region R, it follows
that∫R pr(r)dr = 1. For illustrative purposes, suppose
the spatial locations at which the terminals are transmitting
are denoted by rTn, n = 1, 2, . . . . Then this PDF can be
expressed as the following pr(r) =∑
n pn,rδ(r − rTn),where pn,r is the probability of transmitting at location
r = rTnwith
∑n pn,r = 1, and δ(x) is the Direc delta
function with∫xδ(x)dx = 1 and δ(x) = 0, x �= 0. Note
that this summation encompasses all the interfering terminals
in the region of interest R. It should be stated that we
are interested in only on the terminal that transmits at a
particular time instant and the location of this terminal is
represented by r; the terminals in the network that do not
transmit at this time instant are not of interest from an
interference standpoint.
18331833
For small aperture terminals, because of off-axis emission
limits, the EIRP spectral density (ESD) in the boresight1
direction depends on the aperture size of the terminal’s
antenna. Let us consider a network of terminals consisting
of a finite set of antenna aperture sizes that are distributed
randomly. Then the distribution of the boresight ESD can be
represented by a discrete probability distribution with values
from the set {E1, E2, . . . , EnE}. The conditional PDF of the
ESD, conditioned on the specific location of the terminal,
can now be expressed as
pEr|r(E) =
nE∑n=1
pn,Erδ(E − En) (1)
where pn,Er is the probability of occurrence of the ESD
level En at location r and∑nE
n=1 pn,Er = 1. Note that this
shows that there can be more than one ESD level at a single
spatial location r. Since pEr|r(E) is a PDF, it follows that∫pEr|r(E)dE = 1, where the integral is over all possible
values of E. In some cases it can be assumed that the EIRP
level is not dependent on the specific location. In such cases
pE(E) =∑nE
n=1 pn,Eδ(E − En) where pn,E is now the
probability of occurrence of the ESD level En in the entire
region of interest and∑nE
n=1 pn,E = 1.The signal paths from the interfering terminals to the
victim receiver via the interfering and victim satellites are
shown Figure 1. The interference power spectral densities
at the victim receiver, via Satellites Sv and Si, due to the
interfering terminal Ti at r are denoted by Iv(r) and Ii(r),respectively. These can be expressed in terms of the satellite
link parameters and γx, x = v, i, which are defined as the
transmission gains from the output of the receive antenna at
Satellite Sx, x = v, i, to the output of the receive antenna
at Rv . Note that the downlink path transmission gains from
the satellites are not functions of the specific locations of
the interfering terminals. Therefore, the values of γv and γido not change when interference is evaluated by assuming
that the locations of the transmit terminals are approximated
by a set of quantized values of the location variable.Before determining the interference power spectral den-
sities it is necessary to define the following satellite link
parameters: Er(ψ), ESD in an off-axis direction ψ at Ti
located at r; Gsr,x, x = v, i, receive antenna gain pattern at
Sx; Lu,r, uplink loss from Ti at r; βx,r, x = v, i, angle at
Sx between SxCx and SxTi; and ψr,v angle at Ti between
TiSi and TiSv .Using the above satellite link parameters the interference
power spectral densities are expressed as
Iv(r) =Er(ψr,v)G
sr,v(βv,r)
Lu,rγv
Ii(r) =ErG
sr,i(βi,r)
Lu,rγi. (2)
1The antenna boresight direction is the direction of the maximum antennagain.
In the above it is assumed that the orbital separation between
the satellites is close so that the uplink path losses to the
satellites are the same. Observe that, by definition, γv and
γi do not depend on the specific location of the interfering
terminal and the values of these can be determined using
the downlink satellite link parameters [3].
IV. INTERFERENCE COMPUTED USING QUANTIZED
SPATIAL LOCATIONS
In this section the locations of the interfering terminals
are quantized to a set of points rk and the interference
is computed by approximating the actual location of the
terminal to its representative point rk. An illustrative quanti-
zation scheme for the locations of the interfering terminals is
shown in Figure 2. Here the quantized regions are denoted
by Rk, k = 1, 2, . . . ,K, and the corresponding locations
of the interfering terminals are represented by the points on
the grid rk, k = 1, 2, . . . ,K. The K quantized regions,
R1,R2, . . . ,RK , are disjoint and encompass the entire
region of interest R, that is, R1 ∪ R2 · · · ∪ RK = R.
Note that although this figure shows a regular pattern for
the quantized regions, in general, they may take the shape
of some conveniently chosen predetermined pattern. In this
figure the actual locations of the interfering terminals are
shown as ‘o’ and these terminal locations are quantized to
one of the points rk, k = 1, 2, . . . ,K, using the nearest-
neighbor quantization rule. Specifically, denote the distance
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Figure 2. Quantization of Region R to Regions Rk, k = 1, 2, . . . ,K.Representative center of Rk is shown as rk . The points ‘o’ denote thespecific locations of the interfering terminals and En, n = 1, 2, . . . , nE ,denote the boresight EIRP levels at these terminals.
metric between the interfering terminal located at r and a
quantized point rk as d(r, rk). Then this terminal is located
in Region Rk and represented by the grid point rk when the
following is satisfied
r ∈ Rk if d(r, rk) ≤ d(r, rk′), rk �= rk′ . (3)
In this work we will use the Euclidean distance metric for the
distance between points x1 and x2 defined as d(x1, x2) =||x1 − x2||.
18341834
The interference is now computed assuming that the
interfering terminals are located at the representative points
rk rather than at their actual locations r. So the resulting
interference PSDs for the paths TiSvRv and TiSiRv can be
written similar to (2) as
Iv,q(rk) =Erk(ψrk,v)G
srk,v
(βv,rk)
Lu,rk
γv
Ii,q(rk) =ErkG
srk,i
(βi,rk)
Lu,rk
γi. (4)
Observe that the link parameters on the right side of the
above are with respect to the quantized locations rk, and in
the following we will discuss the process of obtaining these
values. The loss terms and the satellite antenna gains, Lu,rk ,
Gsrk,v
(βv,rk) and Gsrk,i
(βi,rk), can be computed by using
the respective values at the grid point, rk. The technique for
computing Erk is given below.
Observe that Erk is a discrete random variable from the
sample space {E1, E2, . . . , EnE}. Therefore, in order to
define Erk we need to determine its PDF. Let us first obtain
the PDF of rk. Denote by prk = Pr{r ∈ Rk}, which is the
probability that the transmit terminal is in the Region Rk.
This probability can be expressed as prk =∫r∈Rk
pr(r) dr.
Observe that∑K
k=1 prk = 1. When the PDF pr(r) is known
apriori these probabilities can be determined for a given
set of quantization regions. On the other hand, if pr(r) is
not available, the required probabilities can be estimated
using the method of relative frequency of occurrence of
the terminals in the respective quantization regions. For
example, suppose tk is the total time interval the transmit
terminals are observed in the Region Rk, then
prk ≈ tk∑Ki=1 ti
. (5)
Next, Erk represents the ESD of all the terminals that
are in the Region Rk in the observation period of interest.
Notice that only a single terminal is active at a given
time instant and the terminal at r transmits at ESD level
En, n = 1, 2, . . . , nE , with probability pn,Er . Because the
distribution of the terminals in Rk is according to the PDF
pr(r) with r constrained so that r ∈ Rk, we have for the
conditional PDF of Erk given that r ∈ Rk as
pErk|r∈Rk
(E) =
1∫r∈Rk
pr(r)dr
∫r∈Rk
nE∑n=1
pn,Erδ(E − En)pr(r)dr. (6)
When the probability distributions of r and Er are available
the conditional probability of Erk can be computed as shown
above. Alternatively, in the absence of these distributions,
the above probability can be estimated using the following
relative frequency of occurrence of method. This method
requires tabulating the time duration of occurrence of each
ESD level at each RegionRk in the desired observation time
interval. Denote by tn,k the time duration for which the ESD
level En was used in the Region Rk. Then the desired PDF
is estimated as
pErk|r∈Rk
(E) ≈∑n
tn,k∑nE
i=1 ti,kδ(E − En). (7)
The off-axis ESD Erk(ψrk,v) at rk used in (4) can be
estimated using Erk estimated as above and assuming that
ψr,v has very little variations in Region Rk. In this case
ψrk,v may be used for all values of ψr,v , r ∈ Rk. The PDF
of this can be estimated using the frequency of occurrence
method similar to (7) with En replaced by En(ψrk,v).
V. STATISTICS OF THE INTERFERENCE POWER
SPECTRAL DENSITY
One of the key objectives of this work is to evaluate the
statistics of the excess interference resulting from quantizing
the actual locations of the transmit terminals. To accomplish
this in the following we derive the PDFs of the interference
PSD when it is computed using the actual and approximated
locations.
A. PDF of Interference When Using Actual and QuantizedLocations
The total interference PSD from a terminal located at ris I0(r) = Iv(r) + Ii(r) and using (2) this is expressed as
I0(r) =Er(ψr,v)G
sr,v(βv,r)
Lu,rγv +
ErGsr,i(βi,r)
Lu,rγi. (8)
The random variables here are the location variable rand the ESD variable Er. The PDFs of these vari-
ables were obtained in Section III-A. The gain patterns
of the receive antennas at the satellites, Gsv(βv,r) and
Gsv(βv,r), are deterministic functions of the location vari-
able r. So for a given r, the interference PSD takes the
value(
En(ψr,v)Gsr,v(βv,r)γv
Lu,r+
EnGsr,i(βi,r)γi
Lu,r
)with probabil-
ity pn,Er . So the marginal PDF of I0(r) can be determined
using these.When quantized locations are used the total interference
from representative point rk is denoted by Iq(rk). Combin-
ing the expressions given in (4), the total interference PSD
from terminals represented by rk is
Iq(rk) =Erk(ψrk,v)G
srk,v
(βv,rk)
Lu,rk
γv +ErkG
srk,i
(βi,rk)
Lu,rk
γi.
(9)
The random variables here are rk and Erk and their PDFs
were given obtained in the preceding section. For a given
quantized location rk and ESD level En the interference
PSD takes the value
In,k =(
En(ψrk,v)Gsrk,v(βv,rk
)
Lu,rkγv +
EnGsrk,i(βi,rk
)
Lu,rkγi
)with
probability pn,k =∫Rk
pn,Erpr(r). Observe that pn,k is the
probability of occurrence of the terminals with ESD En in
the Region Rk and it follows that∑K
k=1
∑nE
n=1 pn,k = 1.
Using these the PDF and the CDF of Iq can be determined.
18351835
B. Error in the Interference PSD
The error in the interference PSD is because the actual
locations of the terminals are approximated by the grid
points. In order to determine this error, first consider a
terminal with an ESD level En at r. The corresponding
interference PSD is
I0,n(r) =En(ψr,v)G
sr,v(βv,r)
Lu,rγv +
EnGsr,i(βi,r)
Lu,rγi
and this occurs with probability pn,Er. The location of this
terminal is now quantized to the grid point rk and the
corresponding interference PSD is
Iq,n(r) =En(ψrk,v)G
srk,v
(βv,rk)
Lu,rk
γv +EnG
srk,i
(βi,rk)
Lu,rk
γi.
The error in the interference PSD is the difference between
these two terms and occurs with probability pn,Er . This error
term, denoted by Ie(n, r) is
Ie(n, r) = I0,n(r)− Iq,n(r). (10)
The PDF and CDF of Ie(n, r) can be computed using the
PDFs of Er and r. Observe that the actual interference is
given by the addition of the error term to the estimated
interference PSD using the approximated locations. There-
fore, knowledge of the estimated interference PSD and the
statistics of the error term are sufficient to reconstruct the
actual interference PSD. This is one approach for using this
analysis as stated in Section II-A. In the simulations given
in the next section we estimate the CDF of Ie(n, r) using
Monte-Carlo simulations. Note the following two cases:
Ie(n, r) > 0, in such cases the interference PSD estimated
using the approximated locations is less than the actual in-
terference PSD and it underestimates the actual interference
PSD; Ie(n, r) < 0, the interference PSD estimated using the
approximated locations is more than the actual interference
PSD and it overestimates the actual interference PSD.
VI. SIMULATION RESULTS
The relevant link parameters used in the simulations are
given in Table I. The beam centers of Satellites Sv and Si
are co-located at Harrisburg, PA and the 6-dB contour of the
antenna pattern of Sv is shown in Figure 3. The distribution
of the interfering terminals are shown in the paths in this
figure. The grid points are chosen along the paths of the
terminal distributions and the distances between adjacent
grid points are uniform and separated by dgrid. In these
simulations the variations in Iq and Ie are examined for
different values of dgrid and the ESD level of the terminals
as described next.
The interfering terminals are assumed to satisfy the
ESD Mask: (KaMask − Ered) (dB(W/Hz)), where KaMask
(dB(W/Hz)) is the ESD Mask established in ITU-R Recom-
mendation S. 524-9 and Ered (dB) is a small value to reduce
the ESD levels to accommodate the error in the interference
Uplink frequency 28.75 GHzAperture diameters uniformly distributed inof Ti [0.2 0.25 0.3 0.35 0.4] mLocations of Ti uniformly distributed in segments:
New Haven, RI to Washington, DCNew York City, NY to Albany, NYNew York City, NY to Harrisburg, PAWashington, DC to Hagerstown, MDBaltimore, MD to Harrisburg, PA
Longitudes at 102.8◦ W and (102.8◦ − 2◦) WSatellites Sv , Si
Satellite beam centers, (41.27◦N, 76.88◦W). Harrisburg, PACv and Ci, (latitude, longitude)Receive antennas at satellites 1.4 m diameter aperture
with parabolic illumination
Table ISATELLITE LINK PARAMETERS USED IN SIMULATIONS.
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Figure 3. Distribution of Terminals Ti and the 6-dB beam pattern ofSatellite Sv . Here the beam center of Sv is at Harrisburg, PA.
PSD. This error term decreases for larger values of Ered
and this behavior is examined in the simulations. Also, for
these simulations consider a large antenna aperture for Rv .
Because of this the interference received via Satellite Si can
be neglected. In order to normalize the interference PSDs
we consider a terminal located at the beam centers of Sv
and Si and it is assumed that this terminal is transmitting
at its maximum off-axis emission level given in KaMask,
which is (19− 25 log10(ψr,v)) dB(W/40 kHz) where ψr,v
is in degrees and 2◦ ≤ ψr,v ≤ 7◦. Interference PSD from
this terminal is denoted by Icenter. Note that Icenter is the
maximum value of the interference PSD for any terminal
location and any antenna aperture size.
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Figure 4. CDF of the error in the interference PSD for the terminaldistribution shown in Table I. Legend shows dgrid and Ered.
18361836
For these simulations it was observed that there is very lit-
tle difference in the CDFs of I0Icenter
andIq
Icenter. Figure 4 shows
the CDF of the error in the interference PSD normalized
with respect to Icenter, that is, IeIcenter
, where Ie = (I0−Iq) and
follows from (10). For these results dgrid = 10, 20 and 50 km
and Ered = 0 and 0.2 dB. These curves show a discernible
difference in the results for the cases considered. It should
be noted that when Ered = 0 dB, Ie may take both positive
and negative values with approximately the same probability.
That is, the interference estimated using the grid points may
underestimate or overestimate the actual interference with
approximately the same probability. On the other hand, when
Ered = 0.2 dB, the error in the interference PSD is mostly
negative and the estimated interference PSD overestimates
the actual interference PSD most of the time. To see the
effect of the distance between the adjacent grid points on
the error in the interference PSD, consider the error levelIe
Icenter= 0.01 with Ered = 0 dB in Figure 4. It can be seen
that Pr{Ie < 0.01 × Icenter} = 0.99 for dgrid = 10 km and
this decreases to 0.93 and 0.78 when dgrid is increased to 20
and 50 km, respectively. This shows that, as expected, the
error in the interference PSD increases when the distance
between adjacent grid points are increased.
0 0.05 0.1 0.15 0.20.5
0.6
0.7
0.8
0.9
1
Reduction in ESD, Ered
(dB)
Pr{I e/I cen
ter<
0}
20 km50 km
Figure 5. Pr{Ie/Icenter < 0 } as a function of the reduction of ESDlevel.
The effect of the ESD of the terminals on the error in
the interference PSD is examined in the results presented in
Figure 5. Here the values of Pr{
IeIcenter
< 0}
are plotted for
various values of Ered. As expected this probability increases
for large values of Ered. Observe that when Ie/Icenter = 0dB the estimated interference PSD using the approximated
grid points is the same as its actual value. Therefore, with
dgrid = 50 km, it can be seen that the estimated interference
PSD is more than its actual value for 53% of the time when
Ered = 0 dB and this increases to 92% of the time when
Ered = 0.2 dB. It can be seen that the ESD of the VMES can
be reduced to satisfy a criterion that requires the estimated
interference to be less than its actual value only for a small
fraction of time, which may be given.
VII. DISCUSSION AND CONCLUSIONS
Interference from a VMES terminal depends on its loca-
tion and in this contribution a sensitivity analysis of the
interference to the location of the VMES terminal was
carried out. Because of practical and operational reasons
the exact locations from which the VMES terminals are
transmitting may not be available. In these cases the exact lo-
cations may be conveniently represented by suitably spaced
grid points in the region of interest. Then, for interference
estimation purposes, the actual location of the transmit
terminal may be approximated by a suitably chosen grid
point. The interference estimated using these approximated
locations is different than its actual value. In many situations
it is necessary to obtain the actual interference levels when
the estimated interference levels are available only with
respect to a set of grid points. It was shown that a random
variable representing the error can be added to the estimated
interference PSD to obtain the actual interference PSD.
Alternatively, it was shown that the ESD of the terminals
can be reduced slightly to satisfy a criterion that requires
the error in the interference PSD not to exceed a given value
for a certain time fraction.
REFERENCES
[1] Federal Communications Commission. FCC 09-64, Report andOrder, §25.226 Blanket Licensing Provisions for Domestic,U.S. Vehicle-Mounted Earth Stations (VMESs) Receiving in the10.95-11.2 GHz (Space-to-Earth), 11.45-11.7 GHz (Space-to-Earth), and 11.7-12.2 GHz (Space-to-Earth) Frequency Bandsand Transmitting in the 14.0-14.5 GHz (Earth-to-Space) Fre-quency Band, Operation with Geostationary Satellites in theFixed-Satellite Service. July 31, 2009.
[2] European Telecommunications Standards Institute. Final DraftETSI EN 303 978 V1.1.1, Harmonized EN for Earth Stationson Mobile Platforms (ESOMP) transmitting towards satellitesin geostationary orbit in the 27,5 GHz to 30,0 GHz frequencybands covering essential requirements under article 3.2 of theR&TTE Directive, 2012.
[3] International Telecommunication Union. RecommendationITU-R S.2029, Statistical methodology to assess time-varyinginterference produced by a network of small earth stations op-erating with TDMA schemes onto geostationary fixed-satelliteservice networks. Dec. 2012.
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