應用相關伽碼統計於雙分支 MRC 分集之通道容量評估

Applying Correlated-Gamma Statistics in the Evaluation of the Channel Capacity of a Dual-Branch MRC Diversity System

於本論文中主要評估於本論文中主要評估雙分支最大比例合成（maximal ratio combining, MCR）分集系統之通道容量；其中衰落通道以相關中上衰落（correlated-Nakagami-m fading）統計為模式，自然地，其衰落功率利用模式化而成相關伽碼（correlated-Gamma）分布。本論文提供機率密度函數（probability density function, pdf）為基礎的通道容量效能之公式；其中在本文中採用單一Gamma 級數為表示式的分佈所得之pdf 結果可以經由Nakagami-m 的特例而得。最後，為了認證所推導而得之通道容量公式的正確性，吾亦於本文中顯示及討論數值分析的例子。 The channel capacity of dual-branch MRC (maximal ratio combining) diversity system over correlated waveform intensity, which is characterized as correlated-Nakagami-m fading (the power is naturally modeled as the correlated-Gamma statistics), is evaluated in this paper. The formulas of channel capacity performance are provided with a pdf (probability density function)-based approach. The pdf of sum of Gamma variates based on the representation of a single gamma series is adopted in the paper. The corresponding expressions of the pdf with the Rayleigh distribution are able to be obtained as a special case of Nakagami-m fading. Finally, the numerical examples are presented and discussed for illustrating the purpose of validating the accuracy of the channel capacity equations derived in this paper.