一種基帶GMSK信號相關(guān)器及其輸出概率分布
該文提出一種基帶GMSK 信號相關(guān)器，并從GMSK 解調(diào)信號的相位概率分布函數(shù)以及獨(dú)立同分布隨機(jī)
變量和的概率分布函數(shù)出發(fā)，給出了該相關(guān)器的自相關(guān)峰和互相關(guān)峰的概率分布函數(shù)。從概率論與數(shù)理統(tǒng)計出發(fā)，推導(dǎo)了一種統(tǒng)一的數(shù)字相關(guān)器(數(shù)字匹配濾波器)的自相關(guān)峰和互相關(guān)峰的概率分布函數(shù)。數(shù)值計算結(jié)果表明，在相同條件下，該基帶GMSK 信號相關(guān)器的誤檢概率比數(shù)字相關(guān)器的低近一個數(shù)量級。
關(guān)鍵詞：GMSK；相關(guān)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