Message Passing Based Detection for Orthogonal Time Frequency Space Modulation

doi:10.12142/ZTECOM.202104004

ZTE Communications ›› 2021, Vol. 19 ›› Issue (4): 34-44.DOI: 10.12142/ZTECOM.202104004

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Message Passing Based Detection for Orthogonal Time Frequency Space Modulation

YUAN Zhengdao¹, LIU Fei², GUO Qinghua³(), WANG Zhongyong²

^1.The Open University of Henan, Zhengzhou 450000, China
^2.Zhengzhou University, Zhengzhou 450001, China
^3.University of Wollongong, Wollongong NSW 2522, Australia

Received:2021-10-10 Online:2021-12-25 Published:2022-01-04
About author:YUAN Zhengdao received the B.E. degree in communication and information system from Henan University of Science and Technology, China in 2006, the M.E. degree in communication engineering from Soochow University, China in 2009, and the Ph.D. degree in information and communication engineering from the National Digital Switching System Engineering and Technological Research Center, China in 2018. He is currently an associate professor with the Open University of Henan. He was a visiting scholar with the University of Wollongong, Australia in 2019. His research interests are mainly in massive MIMO, sparse channel estimation, message passing algorithm, and iterative receiver.|LIU Fei received the B.E. and M.E. degrees in information and communication engineering from Zhengzhou University, China in 2015 and 2017, respectively. He is currently working toward the Ph.D. degree with the School of Information and Engineering, Zhengzhou University, China. His research interests are message passing algorithm, sparse signal recovery, and OTFS.|GUO Qinghua (qguo@uow.edu.au) received the B.E. degree in electronic engineering and the M.E. degree in signal and information processing from Xidian University, China in 2001 and 2004, respectively, and the Ph.D. degree in electronic engineering from the City University of Hong Kong, China in 2008. He is currently an associate professor with the School of Electrical, Computer and Telecommunications Engineering, University of Wollongong, Australia and an adjunct associate professor with the School of Engineering, The University of Western Australia. His research interests include signal processing, machine learning and telecommunications. He was a recipient of the Australian Research Council’s inaugural Discovery Early Career Researcher Award in 2012.|WANG Zhongyong received the B.S. and M.S. degrees in automatic control from Harbin Shipbuilding Engineering Institute, China in 1986 and 1988, respectively, and the Ph.D. degree in automatic control theory and application from Xi’an Jiaotong University, China in 1998. From 1988 to 2002, he has been with the Department of Electronics, Zhengzhou University, China. Now he is a professor with the Department of Communication Engineering, Zhengzhou University. His research interests include numerous aspects within embedded systems, signal processing, and communication theory.
Supported by:
the National Natural Science Foundation of China(61901417);Science and Technology Research Project of Henan Province(212102210556)

Abstract

Abstract:

The orthogonal time frequency space (OTFS) modulation has emerged as a promising modulation scheme for wireless communications in high-mobility scenarios. An efficient detector is of paramount importance to harvesting the time and frequency diversities promised by OTFS. Recently, some message passing based detectors have been developed by exploiting the features of the OTFS channel matrices. In this paper, we provide an overview of some recent message passing based OTFS detectors, compare their performance, and shed some light on potential research on the design of message passing based OTFS receivers.

Key words: OTFS, detection, message passing, belief propagation, approximate message passing (AMP), unitary AMP (UAMP)

YUAN Zhengdao, LIU Fei, GUO Qinghua, WANG Zhongyong. Message Passing Based Detection for Orthogonal Time Frequency Space Modulation[J]. ZTE Communications, 2021, 19(4): 34-44.

Figures/Tables 9

Figure 1 Modulation and demodulation in an orthogonal time frequency space (OTFS) system[2]

Figure 2 Graph representation used to derive the message passing (MP) detector in Ref. [2]

Table 1 Factors, underlying distributions and functional forms associated with Eq. (31)

Factor	Distribution	Function Form
$f r j$	$p r j \| z j, ?$	$N z j; r j, ? - 1$
$f δ j$	$p z j \| x$	$δ z j - Φ j x$
$f x i$	$p x i$	$(1 / \| A \|) ∑ a = 1 A δ x i - α a$
$f ?$	$p (?)$	$? - 1$

Table 1 Factors, underlying distributions and functional forms associated with Eq. (31)

Factor	Distribution	Function Form
$f r j$	$p r j \| z j, ?$	$N z j; r j, ? - 1$
$f δ j$	$p z j \| x$	$δ z j - Φ j x$
$f x i$	$p x i$	$(1 / \| A \|) ∑ a = 1 A δ x i - α a$
$f ?$	$p (?)$	$? - 1$

Figure 3 Factor graph representation of Eq. (31)

Figure 4 Iterative joint detection and decoding in a coded OTFS system[25]

Table 2 Computational complexity of various detectors per iteration

Detectors	Complexity
MP detector	$O (M N S \| A \|)$
VB detector	$O (M N S \| A \|)$
UAMP detector	$O M N l o g (M N) + O M N \| A \|$

Table 2 Computational complexity of various detectors per iteration

Detectors	Complexity
MP detector	$O (M N S \| A \|)$
VB detector	$O (M N S \| A \|)$
UAMP detector	$O M N l o g (M N) + O M N \| A \|$

Figure 5 BER performance of detectors with bi-orthogonal waveform and integer Doppler shifts (results are based on Ref. [25])

Figure 6 BER performance of detectors with the rectangular waveform and fractional Doppler shifts (results are based on Ref. [25])

Figure 7 BER performance comparison of coded and uncoded system with rectangular waveform (part of the results is based on Ref. [25])

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Message Passing Based Detection for Orthogonal Time Frequency Space Modulation

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