BER ANALYSIS OF A GMSK SYSTEM USING DECISION FEEDBACK  

作　　者：He Xiandeng Pei Changxing 

机构地区：[1]The State Key Lab of Integrated Services Networks, Xidian University, Xi＇an 710071, China

出　　处：《Journal of Electronics(China)》2008年第4期544-551,共8页电子科学学刊（英文版）

基　　金：the National Natural Science Foundation of China(No.60132030,60572147);the 111 Project(B08033).

摘　　要：There are considerable literatures on the Bit Error Rate(BER)evaluation of DifferentialDetection of Gaussian Minimum Shift Keying(DDGMSK)system using Decision Feedback(DF),butmost of them give the performance based on the Monte Carlo Error Counting(MCEC)technique.Fromthe probability distribution of the phase angle between two vectors perturbed by Gaussian noises,theformulae of BER are derived for the performance analysis of DDGMSK system with DF in this letter.Considering the m-bit dock-tailed sequence,the new formulae of Gaussian Minimum Shift Keying(GMSK)modulated phase and the Time-Varying Signal to Noise Ratio(TVSNR)of the demodulatedsignal are presented,and it is proved that the relationship between the TVSNR of the demodulatedsignal and the size of eye opening is not inevitable.Simulation results show that the theoretical in-vestigation gives analogous results with the MCEC technique.The formulae presented are useful for theperformance analysis of systems using GMSK as modulating and demodulating method,for instance,the analysis of synchronous performance of frequency-hopping communication system.There are considerable literatures on the Bit Error Rate（BER）evaluation of Differential Detection of Gaussian Minimum Shift Keying（DDGMSK）system using Decision Feedback（DF）,but most of them give the performance based on the Monte Carlo Error Counting（MCEC）technique.From the probability distribution of the phase angle between two vectors perturbed by Gaussian noises,the formulae of BER are derived for the performance analysis of DDGMSK system with DF in this letter.Considering the m-bit dock-tailed sequence,the new formulae of Gaussian Minimum Shift Keying（GMSK）modulated phase and the Time-Varying Signal to Noise Ratio（TVSNR）of the demodulated signal are presented,and it is proved that the relationship between the TVSNR of the demodulated signal and the size of eye opening is not inevitable.Simulation results show that the theoretical investigation gives analogous results with the MCEC technique.The formulae presented are useful for the performance analysis of systems using GMSK as modulating and demodulating method,for instance,the analysis of synchronous performance of frequency-hopping communication system.

关 键 词：Gaussian Minimum Shift Keying （GMSK） Differential detection Decision Feedback （DF） Bit Error Rate （BER） 

分 类 号：TN919.6[电子电信—通信与信息系统]