一種基帶GMSK信號相關器及其輸出概率分布
該文提出一種基帶GMSK 信號相關器，并從GMSK 解調信號的相位概率分布函數以及獨立同分布隨機
變量和的概率分布函數出發，給出了該相關器的自相關峰和互相關峰的概率分布函數。從概率論與數理統計出發，推導了一種統一的數字相關器(數字匹配濾波器)的自相關峰和互相關峰的概率分布函數。數值計算結果表明，在相同條件下，該基帶GMSK 信號相關器的誤檢概率比數字相關器的低近一個數量級。
關鍵詞：GMSK；相關器；概率分布
Abstract: A type of baseband GMSK signal correlator is presented in this paper. From the phase probability density function of demodulated GMSK signal and the probability distribution function of the sums of independent identical distribution random variables, the auto-correlation and cross-correlation functions of the correlator are proposed. A uniform auto-correlation and cross-correlation probability distribution functions of digital correlator(digital matched filter) is derived from the probability and statistics theory. Numerical results demonstrate that the error probability of the baseband GMSK signal correlator is about one order of magnitude lower than that of digital one under the same condition.
Key words: GMSK; Correlator; Probability