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\subsection{场景描述}
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本文考虑多波束卫星的下行链路,通过时分复用的形式,可以提供$K$个波束覆盖$N$个小区的用户($K<N$)。在$t$时刻,波束与小区的点亮关系可以使用以下矩阵描述:
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\begin{equation}
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\mathbf{X} = \{x_{k,n} | x_{k,n} \in {0,1},\sum_{n=1}^{N} x_{k,n}= 1\}
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\mathbf{X} = \{x_{k,n} | x_{k,n} \in \{0,1\},\sum_{n=1}^{N} x_{k,n}= 1\}
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\label{eq:X_bh}
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\end{equation}
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