FBMC-OQAM中原型滤波器的快速设计
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摘要
针对传统基于滤波器组的多载波-偏移正交调制(FBMC-OQAM)系统设计自由度不高和整体性能不佳的问题,提出一种原型滤波器的快速设计算法.假定FBMC-OQAM系统同一子载波的发送端和接收端采用不同的原型滤波器.将两个原型滤波器的设计问题归结为一个无约束优化问题,其中目标函数为符号间干扰、载波间干扰和原型滤波器阻带能量的加权和.利用目标函数的梯度向量,通过双迭代机制求解原型滤波器.在每次迭代更新中,运用矩阵求逆的等效条件和托普利兹矩阵求逆的快速算法,极大地降低了计算复杂度.理论分析和仿真实验表明:新算法不仅具有低计算复杂度的优点,且设计所得的系统具备更好的整体性能,即原型滤波器阻带衰减更高、系统均方误差更低.
Traditional methods suffer from low degree of design freedom and relatively poor overall performance in designing the filter bank-based multicarrier with offset quadrature amplitude modulation(FBMC-OQAM),a efficient algorithm to design the prototype filter was presented.It was assumed that the receiver and transmit blocks employed two different PF.The design problem of the two PF was formulated into an unconstrained optimization problem whose objective function was the weighted sum of the intersymbol interference(ISI),interchannel interference(ICI),and the stopband energy of the PF.The optimization problem could be efficiently solved by a bi-iterative scheme.The computational cost of the iterative procedure was dramatically reduced by employing a matrix inversion lemma and the fast algorithm for calculating the Toeplitz matrix inversion.Theoretical analysis and simulation results show that compared with the existing algorithms, the proposed algorithm not only has the advantages of low computational cost,but also leads to system with better overall performance,i.e.,higher stopband attenuation and smaller system possessing reconstruction error.
Traditional methods suffer from low degree of design freedom and relatively poor overall performance in designing the filter bank-based multicarrier with offset quadrature amplitude modulation(FBMC-OQAM),a efficient algorithm to design the prototype filter was presented.It was assumed that the receiver and transmit blocks employed two different PF.The design problem of the two PF was formulated into an unconstrained optimization problem whose objective function was the weighted sum of the intersymbol interference(ISI),interchannel interference(ICI),and the stopband energy of the PF.The optimization problem could be efficiently solved by a bi-iterative scheme.The computational cost of the iterative procedure was dramatically reduced by employing a matrix inversion lemma and the fast algorithm for calculating the Toeplitz matrix inversion.Theoretical analysis and simulation results show that compared with the existing algorithms, the proposed algorithm not only has the advantages of low computational cost,but also leads to system with better overall performance,i.e.,higher stopband attenuation and smaller system possessing reconstruction error.
引文
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[13]蒋俊正,王小龙,水鹏朗.一种设计DFT调制滤波器组的新算法[J].西安电子科技大学学报(自然科学版),2010,37(4):689-693.
[14]NAM H,CHOI M,HAN S,et al.A new filter-bank multicarrier system with two prototype filters for qam symbols transmission and reception[J].IEEE Transactions on Wireless Communications,2016,15(9):5998-6009.
[15]芦世先.降低FBMC-OQAM信号峰均功率比的无失真方法[D].华中科技大学图书馆,2013.
[16]ELMAROUD B,FAQIHI A,ABBAD M,et al.Theoretical analysis of SINR performance for unsynchronized and nonlinearly distorted FBMC signals[C]//Proceedings of the Mediterranean Conference on Information&Communication Technologies.[s.n.],2016:345-353.
[17]PETERERSEN K B,PEDERSEN M S.The matrix cookbook[EB/OL].[2017-08-18].http://www2.imm.dtu.dk/pubdb/p.php,2012.
[2]NEE R V,PRASAD R.OFDM for wireless multimedia communications[M].Norwood:Artech House,2001.
[3]马致远.FBMC通信系统中定时同步的设计与实现[D].华中科技大学图书馆,2016.
[4]BANELLIi P,BUZZI S,COLAVOLPE G,et al.Modulation formats and waveforms for 5g networks:who will be the heir of OFDM?:an overview of alternative modu-lation schemes for improved spectral efficiency[J].IEEE Signal Processing Magazine,2014,31(6):80-93.
[5]尤肖虎,潘志文,高西奇,等.5G移动通信发展趋势与若干关键技术[J].中国科学(信息科学),2014,44(5):551-563.
[6]VIHOLAINEN A,IHALAINEN T,STITZ T H,et al.Prototype filter design for filter bank based multicarrier transmission[C]//Proc of Signal Processing Conference.Glasgow:IEEE,2009:1359-1363.
[7]BELLANGER M G.Specification and design of a prototype filter for filter bank based multicarrier transmission[C]//Proc of IEEE International Conference on Acoustics,Speech,and Signal Processing.Salt Lake City:UT,2001:2417-2420.
[8]MIRABBASI S,MARTIN K.Overlapped complex modulated transmultiplexer filters with simplified design and superior stopbands[J].IEEE Transactions on Circuits&SystemsⅡAnalog&Digital Signal Processing,2003,50(8):456-469.
[9]CRUZ ROLDAN F,HENEGHAN C,SAEZ LANDETEJ B,et al.Multi-objective optimisation technique to design digital filters for modulated multi-rate systems[J].Electronics Letters,2008,44(13):827-828.
[10]MARTIN M,BREGOVIC,MARCOS M,et al.Ageneralized window approach for designing transmulti plexers[J].IEEE Transactions on Circuits&SystemsⅠRegular Papers,2008,55(9):2696-2706.
[11]CHEN D,QU D,JIANG T,et al.Prototype filter optimization to minimize stopband energy with NPRconstraint for filter bank multicarrier modulation systems[J].IEEE Transactions on Signal Processing,2013,61(1):159-169.
[12]穆亚起.FBMC系统中原型滤波器的迭代设计算法[J].电子技术应用,2017,43(4):121-125.
[13]蒋俊正,王小龙,水鹏朗.一种设计DFT调制滤波器组的新算法[J].西安电子科技大学学报(自然科学版),2010,37(4):689-693.
[14]NAM H,CHOI M,HAN S,et al.A new filter-bank multicarrier system with two prototype filters for qam symbols transmission and reception[J].IEEE Transactions on Wireless Communications,2016,15(9):5998-6009.
[15]芦世先.降低FBMC-OQAM信号峰均功率比的无失真方法[D].华中科技大学图书馆,2013.
[16]ELMAROUD B,FAQIHI A,ABBAD M,et al.Theoretical analysis of SINR performance for unsynchronized and nonlinearly distorted FBMC signals[C]//Proceedings of the Mediterranean Conference on Information&Communication Technologies.[s.n.],2016:345-353.
[17]PETERERSEN K B,PEDERSEN M S.The matrix cookbook[EB/OL].[2017-08-18].http://www2.imm.dtu.dk/pubdb/p.php,2012.