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Derivation of antenna directivity at a point on the ground. (Inset: in plane normal to boresight.)

Derivation of antenna directivity at a point on the ground. (Inset: in plane normal to boresight.)

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In a wireless communications network served by a high altitude platform (HAP) the cochannel interference is a function of the antenna beamwidth, angular separation and sidelobe level. At the millimeter wave frequencies proposed for HAPs, an array of aperture type antennas on the platform is a practicable solution for serving the cells. We present a...

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... (18) where is the displacement transformed to a plane normal to and centered on antenna boresight, as shown in Fig. 6 ( 19) The pointing angles and subtended angles for each cell are, thus, a function of cell coordinates and dimensions and only, and may hence be rapidly generated on changing HAP height or cell width . Let and be the indices for the curve fits of the form in (1) for an elliptic beam, fitted to optimize directivity at the cell edges and ...

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... We can consider a hexagonal antenna phased array structure, illuminating 7 cells according to the 3GPP/ITU model [23], where each beam has 65° half-power beam width covering a 100 km-radius cell with a maximum gain of about 7.8 dBi [23]. The HAPS antenna radiation pattern mask for a beam can be specified as follows [24]: ...
... We can consider the antenna roll-off factor nH ≈ 6 to meet our directivity and beamwidth requirements, as detailed above. Much larger nH values are also used in [24]. ...
... 2) HAP/Satellite Antenna Pattern: For HAP and satellite, multi-beam antennas instead of uniform planar array antennas are considered, as uniform planar array configuration requires the design of a precoding matrix which is beyond the scope of this paper. It is assumed that each cell is served by one main beam [29], [30]. The following normalized antenna x gain pattern of one beam, x ∈ {h, s}, corresponding to a typical reflector antenna with a circular aperture with a radius of 10 wavelengths, is considered [27] ...
... Hence, the effect of interference power on the network is affected by P interf due to the fact that each potential interferer is modeled as a Bernoulli random variable with a probability of P interf . We also assume that the G2H and the G2S links are interference-free, while the interference on H2A/S2A links is due to the side lobes of HAP/satellite's antenna overlapping with the main lobes [29], [30]. ...
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... as the submatrixes of G t , which is the channel matrix of the HAPS's selected antennas and assigned users. Similar to [16] and [17], for the HAPS antenna, we use the aperture antenna model, in which the gain of the main lobe is obtained as: ...
... We consider Ap ef f = 1, and the roll-off factor value n is chosen to maximize the gain at the cell border. The side lobes are modelled by a flat level at −40 dB below peak directivity [16], [17]. Furthermore, we set ξ u = 0.99, which is suitable for pedestrian users. ...
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... Ideally, each beam with a steep roll-off illuminates its corresponding cell, ensuring that no power is delivered outside the cell boundaries. Unfortunately, due to the imperfect roll-off of practical antenna beams, inter-cell interference (ICI) is introduced, and is worsened by the limitations of the array beamforming technique [8]. Furthermore, as the elevation angle of beams referenced at boresight [9] reduces, the resulting cell footprints broaden, thereby increasing both cell overlap [10] and ICI. ...
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... He et al. [19] examined the swing state modeling of the cellular coverage geometry model and the influence of swing on handover. Many studies [11,[20][21][22][23][24][25][26][27][28] on antenna control of HAPS proposed employing antenna control methods to prevent interference between surrounding cells and HAPSs to alleviate the decrease in received signal power caused by HAPS shifting or rotation. Kenji et al. [20] proposed a beamforming method to reduce the impact of the degradation of system capacity caused by handover between two cells. ...
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In this paper, we propose a novel Deep Reinforcement Learning Evolution Algorithm (DRLEA) method to control the antenna parameters of the High-Altitude Platform Station (HAPS) mobile to reduce the number of low-throughput users. Considering the random movement of the HAPS caused by the winds, the throughput of the users might decrease. Therefore, we propose a method that can dynamically adjust the antenna parameters based on the throughput of the users in the coverage area to reduce the number of low-throughput users by improving the users’ throughput. Different from other model-based reinforcement learning methods, such as the Deep Q Network (DQN), the proposed method combines the Evolution Algorithm (EA) with Reinforcement Learning (RL) to avoid the sub-optimal solutions in each state. Moreover, we consider non-uniform user distribution scenarios, which are common in the real world, rather than ideal uniform user distribution scenarios. To evaluate the proposed method, we do the simulations under four different real user distribution scenarios and compare the proposed method with the conventional EA and RL methods. The simulation results show that the proposed method effectively reduces the number of low throughput users after the HAPS moves.
... where θ is the angle with respect to antenna boresight, and J 1 (.) is the Bessel function of the first kind and first order. It is assumed that each cell is served by one main beam [16]. ...
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... where θ is the angle with respect to antenna boresight, and J 1 (.) is the Bessel function of the first kind and first order. It is assumed that each cell is served by one main beam [16]. ...
... N i is the set of interfering nodes and, h xiy indicates the channel coefficient between the interfering node x i and node y. We assume that the G2H link is interference free, while the interference on H2A links is due to the side lobes of HAP's antenna overlapping the main lobes [16]. ...
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... Proper beam pointing with an adequate antenna system and characteristics is necessary due to the imperfect roll-off of practical antenna beams, which introduces ICI that is worsened by beam-forming limitations [8], especially with inadequate beam pointing. This paper provides a framework for analysing HAP coverage extension and highlights the feasibility of delivering contiguous cellular coverage over an extended area using a HAP. ...
... A different set of average ASE is also obtained by evaluating (36) using numerical integration. The parameters in Table 2 and a 30 dB transmit antenna gain [8] at the boresight are used to simplify the integration and validate the derived expression (36). These average ASE values (i.e., lower limit, upper limit, and integral) are plotted against the distance of the cells from the SPP, as shown in Figure 11. ...
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... It gives up to about 140 thousand square kilometers [1] High Altitude Platforms are said to be radio stations that are positioned to operate in the stratospheric layer of the atmosphere. The altitude lies between 17km and 22km [7][8][9][10]. The concern of radio Engineers in the channel design is to design a channel model that will depict the signal power level as it propagates in the operating environment. ...
... Where: = Received frequency in GHz, the indicates, the direction of the motion, either moving toward each other or away from each other. Now we can substitute equation (7) into equation (8) to have equation (9) as follows: (9) Equation (9) can further be simplified to (10) the free space model is given by the following equation: ...
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In this paper, we investigated the effect of different channel propagation characteristics on the performance of 4G systems from high altitude platforms (HAPs). The use of High-Altitude Platforms for communication purpose in the past focused mostly on the assumption that the platform is quasi stationary. The technical limitation of the assumption was that of ensuring stability in the positioning of the platform in space. The use of antenna steering and other approaches were proposed as a solution to the said problem. In this paper, we proposed a channel model which account for the motion of the platform. This was done by investigating the effect of Doppler shift on the carrier frequency as the signals propagate between the transmitter and receiver while the High-Altitude Platform is in motion. The basic free space model was used and subjected to the frequency variation caused by the continuous random shift due to the motion of the HAPs. The trajectory path greatly affects the system performance. A trajectory of 30km, 100km and 500km radii were simulated. An acute elevation angle was used in the simulation. The proposed model was also compared to two other channel models to illustrate its performance. The results show that the proposed model behave similar to the existing models except at base station ID 35 and 45 where the highest deviation of 20dBm was observed. Other stations that deviated were less than 2dBm.