Optimal complex exponentials BEM and channel estimation in doubly selective channel |
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| Institution: | 1. Chengdu University of Information Technology, Chengdu 610225, PR China;2. National Key Laboratory of Science and Technology on Communications, University of Electronic Science and Technology of China, Chengdu 610054, PR China;3. Business School of Sichuan University, Chengdu 610065, PR China;1. School of Economics & Management, Yanshan University, Qinhuangdao 066004, PR China;2. Gannan Normal University, Ganzhou 341000, PR China;3. Research Center of Hubei Logistics development, Hubei University of Economics, Wuhan 430205, PR China;1. School of Internet of Things Engineering, Jiangnan University, Wuxi 214122, China;2. Key Laboratory of Advanced Process Control for Light Industry Ministry of Education, Jiangnan University, Wuxi 214122, China;3. School of Electrical, Electronic and Computer Engineering, Lancaster University, Bailrigg, Lancaster, LA1 4YW, United Kingdom;1. Jiangsu Provincial Key Lab of Image Processing and Image Communication, Nanjing University of Posts and Telecommunications, Nanjing 210003, China;2. State Key Laboratory for Novel Software Technology, Nanjing University, Nanjing 210093, China;1. School of information engineering, Guangdong Mechanical & Electrical College, Guangzhou 510550, PR China;2. Department of Information Science and Technology, Guangdong University of Foreign Studies South China Business College, Guangzhou 510545, PR China;1. School of Science, East China Jiaotong University, Nanchang , Jiangxi, Postal code 330013, PR China;2. School of Mathematics, South China Normal University, Guangzhou, Guangdong, Postal code 510631, PR China;3. School of Mathematics and Computer Science, Guizhou Normal University, Guiyang, Guizhou, Postal code 550001, PR China |
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| Abstract: | Over doubly selective channel, the optimal complex exponentials BEM (CE-BEM) is required to characterize the transmission in transform domain in order to reducing the huge number of the estimated parameters during directly estimating the impulse response in time domain. This paper proposed an improved CE-BEM to alleviating the high frequency sampling error caused by conventional CE-BEM. On the one hand, exploiting the improved CE-BEM, we achieve the sampling point is in the Doppler spread spectrum and the maximum sampling frequency is equal to the maximum Doppler shift. On the other hand we optimize the function and dimension of basis in CE-BEM respectively ,and obtain the closed solution of the EM based channel estimation differential operator by exploiting the above optimal BEM. Finally, the numerical results and theoretic analysis show that the dimension of basis is mainly depend on the maximum Doppler shift and signal-to-noise ratio (SNR), and if fixing the number of the pilot symbol, the dimension of basis is higher, the modeling error is smaller, while the accuracy of the parameter estimation is reduced, which implies that we need to achieve a tradeoff between the modeling error and the accuracy of the parameter estimation and the basis function influences the accuracy of describing the Doppler spread spectrum after identifying the dimension of the basis. |
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