A.L. Gelgor – Ph.D.(Eng.), Associate Professor, Higher School of Applied Physics and Space Technologies  of Peter The Great St. Petersburg Polytechnic University

E-mail: A_Gelgor@mail.ru

T.E. Gelgor – Senior Lecturer, Department «Experimental Physics», 

Peter The Great St. Petersburg Polytechnic University

E-mail: tanya.gelgor@yandex.ru

Faster-than-Nyquist (FTN) signaling is the promising idea that theoretically provides for a significant increase in the spectral efficiency without energy losses. The gain is achieved through incorporating intersymbol interference (ISI) by simply increasing symbol rate. Another way to increase spectral efficiency is to use pulses assuming incorporating ISI. It is commonly called Partial Response (PR) signaling. Both approaches achieve declared gains only asymptotically, i.e. at very low values of the bit error rate (BER) and a high computational complexity of the detection algorithms. In this paper, we propose a new optimization criterion for synthesizing pulses for PR signaling. It is shown in the article that PR signaling with the pulses proposed by us outperform FTN signaling and PR signaling with other known optimal pulses. Moreover, it is achieve the Mazo limit at BER = 10−4 and with low computational complexity of signal detection.

1. ETSI EN 302 307-1 v1.4.1 (2014-11): «Digital Video Broadcasting (DVB); Second generation framing structure, channel coding and modulation systems for Broadcasting, Interactive Services, News Gathering and other broadband satellite applications; Part 1: DVB-S2».
2. Mazo J.E. Faster-than-Nyquist signaling // Bell System Technical Journal. 1975. V. 54. № 8. P. 1451−1462.
3. Liveris D., Georghiades C.N. Exploiting faster-than-Nyquist signaling // IEEE Trans. Comm. 2003. V. 51. № 9. P. 1502−1511.
4. Yoo Y.G., Cho J.H. Asymptotic optimality of binary faster-than-Nyquist signaling // IEEE Commun. Lett. September 2010. V. 14. № 9. P. 788−790.
5. Gel'gor A.L., Gorlov A.I. Povy'shenie spektral'noj i e'nergeticheskoj e'ffektivnosti signal'no-kodovy'x konstrukczij DVB-S2 putem zameny' najkvistovskix impul'sov na optimal'ny'e finitny'e impul'sy' // Radiotexnika. 2016. № 12. S. 94−104.
6. Said, Anderson J.B. Bandwidth-efficient coded modulation with optimized linear partial-response signals // IEEE Trans. Inform. Theory. 1998. V. 44. № 2. P. 701−713.
7. Gel'gor A.L., Gorlov A.I., Nguen Van Fe. Ispol'zovanie optimal'ny'x finitny'x impul'sov kak sposob nailuchshego vvedeniya upravlyaemoj mezhsimvol'noj interferenczii // Radiotexnika. 2016. № 12. S. 112−120.
8. Sugiura S. Frequency-domain equalization of faster-than-Nyquist signaling // IEEE Wirel. Commun. Lett. 2013. V. 2. № 5. P. 808−817.
9. Baek M.S., Hur N.H., Lim H. Novel Interference Cancellation Technique based on Matrix Computation for FTN Communication System // IEEE Military Communications Conference. October 2014. P. 830−834.
10. Guangna Zhang, Yimin Wei, Yuehong Shen, Mingxi Guo, Shengyu Nie. A Reduced Complexity Interference Cancellation Technique Based on Matrix Decomposition for FTN Signaling // SAI Computing Conference (SAI). July 2016. P. 622−625.
11. Anderson J.B. Limited search trellis decoding of convolutional codes // IEEE Trans. Inform. Theory. September 1989. V. 35. P. 944−955.
12. Franz V., Anderson J.B. Concatenated Decoding with a Reduced-Search BCJR Algorithm // IEEE Journals on Select. Area. Commun. 1998. V. 16. № 2. P. 186−195.
13. Sen P., Aktas T., Yilmaz A.O. A low-complexity graph-based LMMSE receiver designed for colored noise induced by FTN-Signaling // IEEE Wireless Communications and Networking Conference (WCNC). 2014. P. 642−647.
14. Schlegel B., Perez L.C. Trellis and Turbo Coding. Wiley-IEEE Press. 2004.
15. Gel'gor A.L., Gorlov A.I., Popov E.A. Preodolenie «bar'era» Najkvista pri ispol'zovanii odnochastotny'x neortogonal'ny'x mnogokomponentny'x signalov // Radiotexnika. 2015. № 1. S. 32−48.