多用户分子通信模型的比特错误率和信道容量分析
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摘要
在多用户分子通信模型中,由于分子的随机扩散,码间干扰和用户间干扰不可避免地同时存在.首先,利用泊松分布逼近二项分布得到了当前时隙接收方纳米机器收到分子的个数;然后,通过码间干扰和用户间干扰的分子数所服从的Skellam分布,得到了最优检测阈值的数学表达式.在此基础上分析了该系统的比特错误率和信道容量性能.仿真结果展示了如何控制参数包括扩散系数、发送方纳米机器和接收方纳米机器之间的距离、信道传输概率、每个时隙释放的分子个数以及每个时隙的持续时间,从而达到降低比特错误率和提高信道容量的目的.
In the multi-user molecular communication system,the Inter-symbol Interference( ISI) and Inter-user Interference unavoidably( IUI) exit because of the stochastic diffusion of the molecules. We first use the Poisson distribution to approximate the Binomial distribution in order to obtain the total number of molecules received in the current time slot. Then the mathematical expressions of optimal decision threshold is derived by using the Skellam distribution,which the number of the ISI and IUI molecules follow. On this basis,the bit error rate and capacity performance of this system is analyzed. Numerical results are shown how to control the parameters including the diffusion coefficient,the distance between transmitter nanomachine and receiver nanomachine,the channel transmission probability,the number of molecules emitted in each time slot and each time slot duration to reduce the BER and improve the capacity.
In the multi-user molecular communication system,the Inter-symbol Interference( ISI) and Inter-user Interference unavoidably( IUI) exit because of the stochastic diffusion of the molecules. We first use the Poisson distribution to approximate the Binomial distribution in order to obtain the total number of molecules received in the current time slot. Then the mathematical expressions of optimal decision threshold is derived by using the Skellam distribution,which the number of the ISI and IUI molecules follow. On this basis,the bit error rate and capacity performance of this system is analyzed. Numerical results are shown how to control the parameters including the diffusion coefficient,the distance between transmitter nanomachine and receiver nanomachine,the channel transmission probability,the number of molecules emitted in each time slot and each time slot duration to reduce the BER and improve the capacity.
引文
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[14]Bicen A O,Lehtomki J,Akyildiz I F.Shannon meets Fick on the microfluidic channel:diffusion limit to sum broadcast capacity for molecular communication[J].IEEE Transactions on Nanobioscience,2018,17(1):88-94.
[15]Yilmaz H B,Heren A C,Tugcu T,et al.Three-dimensional channel characteristics for molecular communications w ith an absorbing receiver[J].IEEE Communications Letters,2014,18(6):929-932.
[16]Arjmandi H,Gohari A,Kenari M N,et al.Diffusion based nanonetw orking:a new modulation technique and performance analysis[J].IEEE Communication Letter,2013,17(4):645-648.
[2]Wang J,Yin B,Peng M.Diffusion based molecular communication:principle,key technologies,and challenges[J].China Communications,2017,14(2):1-18.
[3]Farsad N,Yilmaz H B,Eckford A,et al.A comprehensive survey of recent advancements in molecular communication[J].IEEECommunications Surveys&Tutorials,2017,18(3):1887-1919.
[4]Bogdan P,Wei G,Marculescu R.Modeling populations of microrobots for biological applications[C]//IEEE International Conference on Communications(ICC),Ottawa,Canada,2012:6188-6192.
[5]Pierobon M,Akyildiz I F.Capacity of a diffusion-based molecular communication system w ith channel memory and molecular noise[J].IEEE Transactions on Information Theory,2013,59(2):942-954.
[6]Meng L S,Yeh P C,Chen K C,et al.Optimal detection for diffusion-based communications in the presence of ISI[C]//IEEEGlobal Communications Conference(GLOBECOM),California,USA,2013:3819-3824.
[7]Chiu H J,Meng L S,Yeh P C,et al.Near-optimal low complexity receiver design for diffusion-based molecular communication[C]//2013 IEEE Global Communications Conference(GLOBE-COM),California,USA,2013:3372-3377.
[8]Damrath M,Hoeher P A.Low-complexity adaptive threshold detection for molecular communication[J].IEEE Transactions on Nanobioscience,2016,15(3):200-208.
[9]Cheng Z,Zhu Y,Chi K,et al.Capacity analysis for diffusive molecular communication w ith ISI channel[J].Nano Communication Netw orks,2017,13(1):43-50.
[10]Jiang C,Chen Y,Liu K J R.Inter-user interference in molecular communication netw orks[C]//IEEE International Conference on Acoustics,Speech and Signal Processing,ICASSP,Florence,Italy,2014:5725-5729.
[11]Moore M J,Okaie Y,Nakano T.Diffusion-based multiple access by nano-transmitters to a micro-receiver[J].IEEE Communications Letters,2014,18(3):385-388.
[12]Koo B H,Lee C,Birkan H,et al.Molecular MIMO:from theory to prototype[J].IEEE Journal on Selected Areas in Communications,2016,34(3):600-614.
[13]Dinc E,Akan O B.Theoretical limits on multiuser molecular communication in internet of nano-bio things[J].IEEE Transactions on Nanobioscience,2017,16(4):266-270.
[14]Bicen A O,Lehtomki J,Akyildiz I F.Shannon meets Fick on the microfluidic channel:diffusion limit to sum broadcast capacity for molecular communication[J].IEEE Transactions on Nanobioscience,2018,17(1):88-94.
[15]Yilmaz H B,Heren A C,Tugcu T,et al.Three-dimensional channel characteristics for molecular communications w ith an absorbing receiver[J].IEEE Communications Letters,2014,18(6):929-932.
[16]Arjmandi H,Gohari A,Kenari M N,et al.Diffusion based nanonetw orking:a new modulation technique and performance analysis[J].IEEE Communication Letter,2013,17(4):645-648.