用于滤波器组多载波系统的新型滤波器优化设计算法
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摘要
为了提高滤波器多载波系统的设计性能,针对多载波系统的原型函数优化问题,提出了一种启发式优化算法—雕塑算法。通过分析原型滤波器的性能评价指标,建立原型滤波器优化设计的数学模型,将原型滤波器的优化设计归结为一个多变量联合求取最小值的问题,并采用提出的雕塑算法进行优化求解。以基于模拟退火算法的滤波器优化设计算法作为比较对象,评估了雕塑算法在算法有效性及求解质量等方面的性能。仿真结果表明,雕塑算法设计的滤波器在阻带衰减幅度、过渡带宽度、时域拖尾衰减速率等方面表现优异,在应用于经典的滤波多音调制系统中,系统误码率也较低。
In order to improve the performance of filter bank multicarrier system( FBMC),this paper proposes a heuristic optimization algorithm,named sculpture algorithm,for the design of prototype filter in FBMC. Based on the analyzsis of the evaluation index of prototype filter,a mathematical model of filter optimization is established,which is actually a minimize problem of multivariate joint optimization,and a solution is obtained by using the proposed sculpture algorithm. The simulated annealing algorithm is used as the object of comparison to evaluate the performance of the proposed algorithm in terms of validity and quality of solution. The simulation results show that the proposed algorithm outperforms with respect of the stopband attenuation,the transition band width and the time zone tailing attenuation rate etc. Furthermore,the biterror rate is low when the proposed sculpture algorithm is used on filter multi-tone modulation system.
In order to improve the performance of filter bank multicarrier system( FBMC),this paper proposes a heuristic optimization algorithm,named sculpture algorithm,for the design of prototype filter in FBMC. Based on the analyzsis of the evaluation index of prototype filter,a mathematical model of filter optimization is established,which is actually a minimize problem of multivariate joint optimization,and a solution is obtained by using the proposed sculpture algorithm. The simulated annealing algorithm is used as the object of comparison to evaluate the performance of the proposed algorithm in terms of validity and quality of solution. The simulation results show that the proposed algorithm outperforms with respect of the stopband attenuation,the transition band width and the time zone tailing attenuation rate etc. Furthermore,the biterror rate is low when the proposed sculpture algorithm is used on filter multi-tone modulation system.
引文
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[15]袁书卿,张葛祥.基于改进遗传量子算法的FIR数字滤波器设计[J].电讯技术,2003,43(5):41-46.YUAN Shuqing,ZHANG Gexiang.Design of FIR digital filter based on improved genetic quantum algorithm[J].Telecommunications Technology,2003,43(5):41-46.
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[17]CATAK E,ATA L D.Filtered multitone system for users with different data rates at 5G wireless networks[C]//Signal Processing and Communication Application Conference.Pacific Grove,CA,USA:IEEE Press,2016:741-744.
[2]FRANK S,THORSTEN W.Waveform contenders for 5G-OFDM vs.FBMC vs.UFMC[C]//International Symposium on Communications,Control and Signal Processing.Athens,Greece:IEEE Press,2014:457-460.
[3]ANDREWS J G,BUZZI S,WAN C,et al.What Will 5GBe?[J].Selected Areas in Communications IEEE Journal on,2014,32(6):1065-1082.
[4]BOCCARDI F,HEATH R W,LOZANO A,et al.Five disruptive technology directions for 5G[J].Communications Magazine IEEE,2014,52(2):74-80.
[5]AMINI P,FARHANG-BOROUJENY B.Design and Performance Evaluation of Filtered Multitone(FMT)in Doubly Dispersive Channels[C]//Vehicular Technology Conference.Baltimore,MD,USA:IEEE,2011:1-5.
[6]WANG Zongjie,FAN Shuju,RUI Yun.CDMA-FMT:Anovel multiple access scheme for 5G wireless communications[C]//International Conference on Digtal Signal Processing.Pacific Grove.CA,USA:IEEE,2014:1939-1943.
[7]DEMBO A,MALAH D.Generalization of the window method for FIR digital filter design[J].IEEE Transactions on Acoustics Speech&Signal Processing,1984,32(5):1081-1083.
[8]CHEN X P,YU S L.FIR filter design:frequency-sampling method based on evolutionary programming[C]//IEEE International Conference on Communications.Budapest,Hungary:IEEE Press,2013:5263-5267.
[9]SONG W,ZHANG X.Designing and implementation of the root rises cosine filter in DDC[C]//IEEE,International Symposium on Microwave,Antenna,Propagation,and Emc Technologies for Wireless Communications.Farmingdale,NY,USA:IEEE Press,2011:262-265.
[10]GU D,HUA J,WANG J,et al.Comparative study of heuristic search algorithm in digital FIR filter design[C]//Systems,Applications and Technology Conference.Farmingdale,NY,USA:IEEE Press,2013:1-6.
[11]MASTORAKIS N E,GONOS I F,SWAMY M N S.Design of two-dimensional recursive filters using genetic algorithms[J].Circuits&Systems I Fundamental Theory&Applications IEEE Transactions on,2003,50(5):634-639.
[12]LUITEL B,VENAYAGAMOORTHY G K.Differential evolution particle swarm optimization for digital filter design[C]//Evolutionary Computation.Pacific Grove,CA,USA:IEEE Press,2008:3954-3961.
[13]MARTIN P M,BREGOVIC R,SARAMAKI T.An efficient approach for designing filter banks for Multi-Carrier Transmission[C]//IEEE International Symposium on Circuits and Systems.Melbourne VIC,Australia:IEEEPress,2008:3206-3209.
[14]杨洪军,王振友.基于分布式算法和查找表的FIR滤波器的优化设计[J].山东理工大学学报:自然科学版,2009,23(5):104-106.YANG Hongjun,WANG Zhenyou.Optimization Design of FIR Filter Based on Distributed Algorithm and Lookup Table[J].Journal of Shandong University of Technology:Natural Science Edition,2009,23(5):104-106.
[15]袁书卿,张葛祥.基于改进遗传量子算法的FIR数字滤波器设计[J].电讯技术,2003,43(5):41-46.YUAN Shuqing,ZHANG Gexiang.Design of FIR digital filter based on improved genetic quantum algorithm[J].Telecommunications Technology,2003,43(5):41-46.
[16]BAUDIN R,LESTHIEVENT G.Design of FIR filters with sum of power-of-two representation using simulated annealing[C]//Advanced Satellite Multimedia Systems Conference and the,Signal Processing for Space Communications Workshop.Hangzhou,China:IEEE Press,2014:339-345.
[17]CATAK E,ATA L D.Filtered multitone system for users with different data rates at 5G wireless networks[C]//Signal Processing and Communication Application Conference.Pacific Grove,CA,USA:IEEE Press,2016:741-744.