satellite communications have become a potentially important part of 6G.An important prerequisite for achieving satellite intelligence is that the satellite have on-board processing capabilities.Multi-user detection (MUD) is a classic method of suppressing multiple access interference (MAI) in wireless communication
such as MMSE
Gaussian processregression (GPR) and other algorithms.Due to the inverse matrix required in the detection process
the algorithm complexity is usually cubic
and it is diff cult to directly apply to satellite platforms because of its limited processing capabilities.The conditional neural process combined the characteristics of the low complexity of the neural network and the data-eff cient of the Gaussian process.The neural network was used to parameterized the Gaussian process to avoided the inversion of the matrix
thereby reduced the computational complexity.The application of conditional neural process in MUD was studied.The simulation results showed that
while reduced complexity
conditional neural process also greatly improved the performance of bit error rate (BER).
ZHAI L J , PAN S M , WANG C T . Development and prospect of satellite 5G technology [J ] . Space-Integrated-Ground Information Networks , 2021 , 2 ( 1 ): 1 - 9 .
SUN C H , PANG C . Thoughts on the research and development route of the LEO satellite Internet system and technology system [J ] . Radio Communications Technology , 2021 , 47 ( 5 ): 521 - 527 .
WU W . Survey on the development of space-integrated-ground information network [J ] . Space-Integrated-Ground Information Networks , 2020 , 1 ( 1 ): 1 - 16 .
ZHANG G X , WANG Y F , DING X J , et al . Research on several key technologies of satellite Internet [J ] . Journal on Communications , 2021 , 42 ( 8 ): 1 - 14 .
LI J Y . Study of the multiuser detection and signal to interference ratio estimation in satellite CDMA systems [D ] . Changsha:National University of Defense Technology , 2006 .
VERDU S . Minimum probability of error for asynchronous Gaussian multiple-access channels [J ] . IEEE Transactions on Information Theory , 1986 , 32 ( 1 ): 85 - 96 .
SALA J , VILLARES J , REY F . Asymptotic and finite user PER analysis of successive interference cancellation for DS-CDMA [J ] . IEEE Communications Letters , 2011 , 15 ( 11 ): 1145 - 1147 .
DIVSALAR D , SIMON M K , RAPHAELI D . Improved parallel interference cancellation for CDMA [J ] . IEEE Transactions on Communications , 1998 , 46 ( 2 ): 258 - 268 .
HALUNGA S V , VIZIREANU N . Performance evaluation for conventional and MMSE multiuser detection algorithms in imperfect reception conditions [J ] . Digital Signal Processing , 2010 , 20 ( 1 ): 166 - 178 .
RASMUSSEN C E , WILLIAMS C K I . Gaussian processes for machine learning [M ] . Cambridge : The MIT Press , 2005 .
PEREZ-CRUZ F , VAN V S , MURILLO-FUENTES J J , , et al . Gaussian processes for nonlinear signal processing:an overview of recent advances [J ] . IEEE Signal Processing Magazine , 2013 , 30 ( 4 ): 40 - 50 .
MURILLO F J J , PEREZ C F . Gaussian process regressors for multiuser detection in DS-CDMA systems [J ] . IEEE Transactions on Communications , 2009 , 57 ( 8 ): 2339 - 2347 .
LAZARO G M , QUINONERO C J , RASMUSSEN C E , et al . Sparse spectrum gaussian process regression [J ] . Journal of Machine Learning Research , 2010 , 11 : 1865 - 1881 .
WANG S W , GU H L . Multiuser detection with sparse spectrum Gaussian process regression [J ] . IEEE Communications Letters , 2012 , 16 ( 2 ): 164 - 167 .
BUI D , LEE S . Fast Gaussian process regression for multiuser detection in DS-CDMA [J ] . IEEE Communications Letters , 2017 , 21 ( 2 ): 406 - 409 .
GARNELO M , ROSENBAUM D , MADDISON C J , et al . Conditional neural processes [C ] // 35th International Conference on Machine Learning .[S.l.:s.n. ] , 2018 .
GARNELO M , SCHWARZ J , ROSENBAUM D , et al . Neural processes [EB ] . 2018 .
KIM H , MNIH A , SCHWARZ J , et al . Attentive neural processes [Z ] . 2019 .
RUGINI L , BANELLI P , CACOPARDI S . A full-rank regularization technique for MMSE detection in multiuser CDMA systems [J ] . IEEE Communications Letters , 2005 , 9 ( 1 ): 34 - 36 .