Low Complexity Iterative Rake Decision Feedback Equalizer for Zero-Padded OTFS Systems

This paper presents a linear complexity iterative rake detector for the recently proposed orthogonal time frequency space (OTFS) modulation scheme. The basic idea is to extract and coherently combine the received multipath components of the transmitted symbols in the delay-Doppler grid using maximal...

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Vydáno v:	IEEE transactions on vehicular technology Ročník 69; číslo 12; s. 15606 - 15622
Hlavní autoři:	Thaj, Tharaj, Viterbo, Emanuele
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	New York IEEE 01.12.2020 The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Témata:	Complexity Complexity theory decoder Delays delay–doppler channel detector Detectors DFE Diversity reception Error correcting codes Error correction Feedback gauss seidel Mathematical analysis Matrix algebra Matrix methods maximal ratio combining Message passing Orthogonal Frequency Division Multiplexing OTFS Performance enhancement rake Receivers Sensors successive over-relaxation Symbols Time-domain analysis Time-frequency analysis turbo
ISSN:	0018-9545, 1939-9359
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Abstract	This paper presents a linear complexity iterative rake detector for the recently proposed orthogonal time frequency space (OTFS) modulation scheme. The basic idea is to extract and coherently combine the received multipath components of the transmitted symbols in the delay-Doppler grid using maximal ratio combining (MRC) to improve the SNR of the combined signal. We reformulate the OTFS input-output relation in simple vector form by placing guard null symbols or zero padding (ZP) in the delay-Doppler grid and exploiting the resulting circulant property of the blocks of the channel matrix. Using this vector input-output relation we propose a low complexity iterative decision feedback equalizer (DFE) based on MRC. The performance and complexity of the proposed detector favorably compares with the state of the art message passing detector. An alternative time domain MRC based detector is also proposed for even faster detection. We further propose a Gauss-Seidel based over-relaxation parameter in the rake detector to improve the performance and the convergence speed of the iterative detection. We also show how the MRC detector can be combined with outer error-correcting codes to operate as a turbo DFE scheme to further improve the error performance. All results are compared with a baseline orthogonal frequency division multiplexing (OFDM) scheme employing a single tap minimum mean square error (MMSE) equalizer.
AbstractList	This paper presents a linear complexity iterative rake detector for the recently proposed orthogonal time frequency space (OTFS) modulation scheme. The basic idea is to extract and coherently combine the received multipath components of the transmitted symbols in the delay-Doppler grid using maximal ratio combining (MRC) to improve the SNR of the combined signal. We reformulate the OTFS input-output relation in simple vector form by placing guard null symbols or zero padding (ZP) in the delay-Doppler grid and exploiting the resulting circulant property of the blocks of the channel matrix. Using this vector input-output relation we propose a low complexity iterative decision feedback equalizer (DFE) based on MRC. The performance and complexity of the proposed detector favorably compares with the state of the art message passing detector. An alternative time domain MRC based detector is also proposed for even faster detection. We further propose a Gauss-Seidel based over-relaxation parameter in the rake detector to improve the performance and the convergence speed of the iterative detection. We also show how the MRC detector can be combined with outer error-correcting codes to operate as a turbo DFE scheme to further improve the error performance. All results are compared with a baseline orthogonal frequency division multiplexing (OFDM) scheme employing a single tap minimum mean square error (MMSE) equalizer.
Author	Viterbo, Emanuele Thaj, Tharaj
Author_xml	– sequence: 1 givenname: Tharaj orcidid: 0000-0002-1202-9201 surname: Thaj fullname: Thaj, Tharaj email: tharaj.thaj@monash.edu organization: Department of Electrical, and Computer Systems Engineering, Monash University, Clayton, VIC, Australia – sequence: 2 givenname: Emanuele orcidid: 0000-0002-5861-2873 surname: Viterbo fullname: Viterbo, Emanuele email: emanuele.viterbo@monash.edu organization: Department of Electrical, and Computer Systems Engineering, Monash University, Clayton, VIC, Australia
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SubjectTerms	Complexity Complexity theory decoder Delays delay–doppler channel detector Detectors DFE Diversity reception Error correcting codes Error correction Feedback gauss seidel Mathematical analysis Matrix algebra Matrix methods maximal ratio combining Message passing Orthogonal Frequency Division Multiplexing OTFS Performance enhancement rake Receivers Sensors successive over-relaxation Symbols Time-domain analysis Time-frequency analysis turbo
Title	Low Complexity Iterative Rake Decision Feedback Equalizer for Zero-Padded OTFS Systems
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