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Wireless Networks
Erschienen in: Wireless Networks 7/2018

21.03.2017

Shaping pulse of faster-than-Nyquist signaling with truncated optimal detector

verfasst von: Siming Peng, Aijun Liu, Xiaofei Pan, Ke Wang

Erschienen in: Wireless Networks | Ausgabe 7/2018

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Abstract

In this paper, we investigate the shaping pulse of faster-than-Nyquist (FTN) signaling by making use of the reduced complexity truncated optimal maximum-likelihood sequence detection. Specifically, the nonorthogonal Gaussian shaping pulse which owns the approximate optimal energy concentration in time-frequency domains is exploited. Moreover, for fair of comparisons, a general benchmark for different shaping pulses is adopted, and based on which, the Euclidean distance (or Mazo limit) and practical information rate performance of FTN signaling with Gaussian pulse and conventional T-orthogonal shaping pulses such as \({\mathrm{sinc}}\) pulse and root raised cosine pulse are evaluated. Theoretical analyses and numerical results demonstrate that when employed with truncated optimal detector and small channel memory at the receiver, the Gaussian pulse could achieve better BER and information rate performance than conventional T-orthogonal pulses.
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Fußnoten
1
As a pioneering work of frequency-domain FTN, the two dimensional Mazo limit of MFTN based on different shaping pulses has been investigated in [4] and the sidelobe performance of different shaping pulses was evaluated in [24], which are obviously different from the contributions of this paper.
 
2
It should be noted the Ungerboeck model has the equivalent BER performance as that of the Forney model only for un-truncated channel memory. However, since we mainly interested in the practical performance under given detector for different shaping pulses, the difference between Forney and Ungerboeck model with truncated channel memory is beyond the scope of this paper.
 
3
In [24], the Gaussian pulse is \(h(t) = 1/\sqrt{2\pi {\sigma ^2}} \exp ( - {t^2}2{\sigma ^2})\), which is slightly different from (6), in fact, there is only a scale factor between them.
 
4
For example, when using MLSD (VA or BCJR algorithm), the continuous L ISI taps near the central one g(0) should be considered. However, if the energy of the ISI tap is small enough, it should have been excluded.
 
5
It should be noted that since \(\tau \le 0.7\) beyonds the Mazo limit of root RC and Gaussian pulses and we fix the number of ISI taps considered in the truncated detector, hence, there is a gap between the practical simulation results and the theoretical ISI-free performance bound, and this gap will be enhanced when the packing factor is further reduced.
 
6
In CS detector, an elaborately designed pre-filter is employed at the receiver, so that the theoretically infinite ISI can be restricted to a short length, in general, \(L = 1\,{\mathrm{or}}\,2\) will be chosen. However, from the information theory perspective, this pre-filter may also result in the loss of the information rate and of course, the BER performance.
 
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Metadaten
Titel
Shaping pulse of faster-than-Nyquist signaling with truncated optimal detector
verfasst von
Siming Peng
Aijun Liu
Xiaofei Pan
Ke Wang
Publikationsdatum
21.03.2017
Verlag
Springer US
Erschienen in
Wireless Networks / Ausgabe 7/2018
Print ISSN: 1022-0038
Elektronische ISSN: 1572-8196
DOI
https://doi.org/10.1007/s11276-017-1491-4

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