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Capacity of the Multiple Spot Beam Satellite Channel With Rician Fading

机译:具有Rician衰落的多点波束卫星信道的容量

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In this correspondence, the uplink of a multibeam satellite system with Rician fading is analyzed under the framework of Wyner's Gaussian cellular multiple access channel. In this framework the received signal at a given multibeam antenna is the sum of signals transmitted by users within that beam's cell area plus a factor 0 les alpha les 1 times the sum of the signals transmitted by users from adjacent cells plus ambient Gaussian noise. Both one-dimensional (1-D) linear, and 2-D hexagonal cellular arrangements are considered. In addition, we consider a modified version of the 1-D linear arrangement whereby users from cells further than adjacent cells contribute to intercell interference. It is assumed that the distance between the antenna elements is small compared to the distance between a user and the satellite. Thus when fading is present, a particular user's fading coefficient is the same at each multibeam antenna. This is the fundamental difference between the multibeam satellite fading channel and the terrestrial cellular fading channel, in which each user experiences independent fading at each base station. Using a Haar measure approximation we derive closed form approximations for the capacity of the satellite fading channel for the scenarios when optimal joint decoding and linear minimum mean square error filtering is employed at the ground station. These approximations are shown to be in close agreement to Monte Carlo simulation results for large dimensional systems. It is shown that fading causes a loss in capacity compared to the nonfading channel. Furthermore, at high signal-to-noise ratio (SNR) this loss is independent of the intercell interference and topology of the system, but is dependent on the distribution of the fading coefficients and the number of users per beam.
机译:在这种对应关系中,在Wyner高斯蜂窝多路访问信道的框架下,分析了具有Rician衰落的多波束卫星系统的上行链路。在此框架中,在给定的多波束天线处接收的信号是该波束的小区区域内用户发射的信号之和加上用户从相邻小区发射的信号之和的1倍乘以0 les alpha les加上环境高斯噪声。一维(1-D)线性和2-D六角形细胞排列都被考虑了。另外,我们考虑了1-D线性排列的修改版本,其中来自小区的用户而不是邻近小区的用户对小区间干扰有所贡献。假设与用户和卫星之间的距离相比,天线元件之间的距离小。因此,当存在衰落时,特定用户的衰落系数在每个多波束天线处都相同。这是多波束卫星衰落信道与地面蜂窝衰落信道之间的根本区别,其中每个用户在每个基站处经历独立的衰落。当在地面站采用最佳联合解码和线性最小均方误差滤波时,使用Haar测度近似,我们可以得出卫星衰落信道容量的闭式近似。这些近似值与大型系统的蒙特卡洛模拟结果非常吻合。结果表明,与非衰落信道相比,衰落会导致容量损失。此外,在高信噪比(SNR)时,该损耗与系统之间的小区间干扰和拓扑结构无关,但取决于衰落系数的分布和每波束的用户数。

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