Cellular networks radio measures and solar noise
All cellular networks continuously monitor the radio frequencies allocated for the communication services offered to the customers and constantly receive, from each user equipment (UE), such as smartphone devices, the signal level of the cells around it and the related channel quality indicators. This standard mechanism creates billions of daily measures describing radioelectric evolution around each cell, essential information to optimize frequency band usage and fight the impact of radio interference and (inevitably) environmental electromagnetic noise such as thermal noise, both coming from Earth and sky.
RAN LTE installations are typically used in a three-sector configuration [14] to optimize capacity and radio coverage, combining three 120° sectors (e.g., half power at +/- 60°), all the (360°) territory around. Cells are characterized by their physical position, by the frequency band allocated to communicate with mobile terminals, by the horizontal orientation (azimuth, maximum antenna gain direction) and by the vertical orientation, technically also said the tilt. Typically, BS cell antennas use a negative tilt (i.e., pointing down toward streets and buildings where people live) or zero tilt (i.e., pointing toward the horizon). Therefore, in general, cells do not point toward the sky, and antenna gain decreases more sharply in the vertical direction (e.g., half power at +/- 10° degrees). Practically speaking, solar radio emissions could directly inject noise in radiomobile antennas, even when the cell azimuth matches the Sun azimuth, only during sunrise or sunset, when tilt is somehow aligned to the (zero) solar elevation in the sky.
Nevertheless, we cannot forget that solar radio waves coming from the sky and impacting ground (or roofs, buildings, roads, etc.) are subject to reflections and more in general scattering. Indeed, by considering the typical decimetre wavelength of many mobile bands worldwide, solar radio waves could also be bent by diffraction from edges all along the Earth’s surface or by diffraction from human infrastructures on the Earth’s surface (e.g., buildings, walls, cars). Electromagnetic scattering, the phenomenon that makes it possible to serve a huge mass of mobile terminals without the need for direct antenna visibility, weaks the role of the BS cell antenna tilt as a protection from Sun radiodisturbance, allowing injection in BS cell antennas part of the solar radiodisturbance when tilt is not aligned to the Sun elevation. The only practical protection from solar radio disturbance remains the BS cell antenna horizontal orientation (cell azimuth).
To isolate Sun noise disturbance on radiomobile RAN from other interferences, two criteria are considered. The first criterion takes advantage of the abundance of radiomobile cells insisting on a sufficiently wide geographical area (see Figure 1). Indeed, a single cell can be affected by local noise around the cell, whereas thousands of cells spread over a wide area allows mitigation of local interference phenomena.
The second criterion exploits the abundance of different cell orientations (azimuth), permitting always (at each time of the day) to select a specific subgroup of cells that, in that moment, result (horizontally) oriented toward Sun azimuth and another subgroup of cells oriented in the opposite way. Using this approach, Sun noise RF power can be followed throughout the day (see Figure 2), selecting, at each moment, the appropriate subgroup of cells and analysing the behaviour differences between the two subgroups. The Sun-exposed subgroup is characterized by the fact that the maximum antenna gain is in the direction of the Sun. In contrast, the other subgroup of cells exposes the minimum antenna gain in the direction of the sun. Effects depending specifically on cell orientation toward the Sun can emerge from this dynamic division of cells in the two groups, analysing the radio measures collectively produced by the single group of cells and comparing the two results.
In terms of frequency, the choice was to analyse the 2.6 GHz band (2500-2690 MHz), which was allocated by the World Radiocommunication Conference (WRC) in 2000 for terrestrial mobile communications services. The analysis of the 2.6 GHz band presents two advantages. First solar radio emission is typically stronger in 2.6 GHz band, with respect to the other lower frequencies currently used for radiomobile communications. Second, the 2.6 GHz band is currently the closest LTE band to the frequencies (in the 100 MHz range from 2.75 GHz to 2.85 GHz) that the Penticton Radio Observatory consistently monitors. Solar radio flux at 2.8 GHz is also referred as the F10.7 index. The index (10.7 being the wavelength in centimeters) is an excellent indicator of solar activity since 1947, easily and reliably measured on a day-to-day basis (see Figure 3) in all types of weather and well correlated with sunspot number [15-16].
The Penticton F10.7 index, expressed in s.f.u., is composed of three daily solar flux measures, each representing a one-hour average. The time zone difference (9 hours) between Canada (Penticton) and Italy guarantees Sun observation contemporaneity (during summer) only for the first daily Canadian measure at 10:00 a.m. in Penticton (17:00 UT), an hour that corresponds to 19:00 in Italy.
A general characterization of solar noise at 2.6 GHz is visible in Figure 4, showing the great difference existing, at those frequencies, between quiet Sun and active Sun conditions.
To study Sun influence on radiomobile services, a relevant radio measure is the Up Link Signal Interference Noise Ratio (UL_SINR), i.e., the ratio (typically expressed in dB) between the power a BS cell receives when a signal is sent (Up Link direction) by a mobile terminal, and the interferences and noises the same cell detects during communication with the mobile terminal on the same Resource Blocks (RB being the smallest unit of radio resources that can be allocated to a user, 180 kHz wide frequency).
Leveraging UL_SINR measures on UpLink RBs allocated at 2.6 GHz, we defined a different index, the “UL_SINR Index”, to describe the solar activity influence on radiomobiles. The UL_SINR index is built by taking the difference between the median of the UL_SINR distribution measures related to cells that result directed toward the Sun azimuth (with a +/-60° tolerance) and the median of the UL_SINR distribution measures related to cells that result directed in the opposite way (again with a +/-60° tolerance). By averaging these differences between UL_SINR distribution medians over one hour and changing the group of cells according to the path of the Sun throughout the day, we obtain a value, the UL_SINR Index (expressed in dB), that can be compared with the corresponding F10.7 Index (of the same hour). The idea behind this index is to maximize the Sun noise detectability with respect to mobile phone interference, typically randomly spread around the RBs assigned by the serving cell.
Considering that radiomobile cells are distributed throughout the territory in a way that tends to maximize radio coverage and mobile phone traffic and at the same time points to minimize reciprocal cell interference, there is no reason to have a UL_SINR distribution median that depends on a specific cell orientation direction when we consider a high number of cells and measures to populate those distributions. Therefore, the general expectation is that the UL_SINR Index is close to zero. When a difference exists, and this difference is negative, it means that it operates a cause that makes the UL_SINR lower for the Sun oriented cells and higher for the cells oriented in the opposite way. In other terms the anti-correlation between Penticton F10.7 index and the UL_SINR index show the existence of an influence of the Sun on the radiomobile uplink channel quality, with the SINR being one of the indicators of good or bad communication on the radio (uplink) channel.
Observations
In Table 1 the values of the Penticton F10.7 index is reported (2nd column) for 6 different days (1st column). Days are selected to obtain a mix of solar conditions at 2.8 GHz (higher s.f.u, medium s.f.u, lower s.f.u) during the observation period. The corresponding (same day and same hour in the first four cases, same day but contiguous hours in the last two cases) UL_SINR Index (3rd column) is -82% (anti)correlated with F10.7 Index, showing that the UL_SINR Index is a good indicator of solar noise influence on the radiomobile context.
Table 1 – Comparison between Canadian F10.7 Index (2.8 GHz Penticton Radio-Telescope) and UL_SINR Index (derived from MDT radiomobile measures in 2.6 GHz band)
Day Year 2021
|
CANADA - F10.7 Index
[email protected] GHz
(16:30-17:30 UT)
|
ITALY – UL_SINR Index
Delta [dB] @2.5 GHz
(16:30-17:30 UT)
|
Note
|
July 2nd
|
95.7
|
-0.124233
|
|
July 3rd
|
95.5
|
-0.5545361
|
X1.5 class flare peak at 14:29 UT, two hours before Canadian F10.7 Index calculation. The corresponding UL_SINR Index (-0.5545361) was calculated averaging 466369 MDT measures reported by 783 different LTE cells.
|
August 16th
|
74.3
|
0.1835652
|
|
September 9 th
|
100.7
|
-0.3704581
|
|
October 8 th
|
85.7
|
0.1198423
|
Due to sunset time in October in Italy, the October UL_SINR Index refer to the hour 15:30-16:30 UT (one hour before F10.7 Index calculation).
|
October 9 th
|
87.1
|
-0.04971983
|
Once established, the UL_SINR Index along the 16:30-17:30 UT hour approximates the s.f.u monitored by Penticton F10.7 index, UL_SINR Index can also be used in relation to hours when there is no corresponding Penticton F10.7 index measures available. Specifically, in the following paragraph, all the solar hours of the most interesting day (July 3rd, showing X1.5 class flares at 14:29 UT) are investigated, focusing on the effects on radiomobile connections.
The UL_SINR index calculated, minute by minute, during the sunlight hours of July 3, 2021 (Sun flare peak at 16:29 local Italian time) and along the previous day (Sun still quiet) is reported (thick lines) in Figure 5, showing a clearer separation between the two day UL_SINR distributions (whose medians are the two compared UL_SINR indexes) in the period immediately before and after the flare.
The 2nd of July day (quiet Sun) shows a quiet UL_SINR index trend, almost zero, meaning that the signal-to-noise ratio related to Sun-exposed cells remained always similar to the signal-to-noise ratio of the cells oriented in the opposite way. In contrast, specifically during July 3rd afternoon, the signal-to-noise ratio of the cells oriented toward the Sun became lower than the UL_SINR of the cells oriented in the opposite way, so moving the UL_SINR Index deeply down on two occasions (before and after the X-ray Sun peak).
It is noticeable that the Pentincton F10.7 index registers solar noise at fixed hours, and it registered the solar noise at 2.8 GHz between 18:30 and 19:30 (Italian time), almost two hours later than the 3rd July flare peak, during a period of Sun less active (radiating 105 x 10-22 W m-2 Hz-1).
To show the effects of solar radio emissions at 2.6 GHz, the angular distribution of radiomobile measures around the direction of maximum BS cell power is presented. The angular distribution (reported as H_BEAM in the graphs) is defined as the horizontal angle formed by the direction of maximum power emission of a BS cell (cell azimuth) and the direction formed by the line joining the BS cell geographical position and the geographical position of the user at the time of the UL_SINR measure.
When the H_BEAM results zero, it means that the user is perfectly aligned with the direction of the BS cell maximum power emission (typically a good situation for the signal-to-noise ratio), whereas in the other cases, the user is less aligned to the maximum BS cell power, up to the extreme case (+180° or -180°), where the user exchanges only the very limited power that the BS cell receives or emits in retropropagation.
The distortion of the H_BEAM angular distribution during the flare day (3rd of July 2021) afternoon is presented in Figure 6 (BS cells Sun oriented, in red) and in Figure 7 (BS cells not Sun oriented, in gray). To have an appropriate angular distribution benchmark during a day of quiet Sun, the same BS cells and the same angular distributions are calculated for the day before the 2nd of July 2021, again presenting results in red for Sun-oriented BS cells (see Figure 8) and in gray for non-Sun-oriented BS cells (see Figure 9).
It is not a surprise that, on both consecutive days, the H_BEAM distribution sees users concentrated almost around the maximum cell power direction (e.g., H_BEAM within +/- 30°), with queues sharply decreasing approaching the retropropagation cases (typically a bad situation for the signal-to-noise ratio).