{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,3,31]],"date-time":"2022-03-31T03:26:55Z","timestamp":1648697215680},"reference-count":53,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2015,12,1]],"date-time":"2015-12-01T00:00:00Z","timestamp":1448928000000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["J Wireless Com Network"],"published-print":{"date-parts":[[2015,12]]},"DOI":"10.1186\/s13638-015-0483-2","type":"journal-article","created":{"date-parts":[[2015,12,1]],"date-time":"2015-12-01T23:43:00Z","timestamp":1449013380000},"update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Lattice-coded cooperation protocol for the half-duplex Gaussian two-way relay channel"],"prefix":"10.1186","volume":"2015","author":[{"given":"Shahab","family":"Ghasemi-Goojani","sequence":"first","affiliation":[]},{"given":"Hamid","family":"Behroozi","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2015,12,2]]},"reference":[{"issue":"1","key":"483_CR1","doi-asserted-by":"publisher","first-page":"120","DOI":"10.2307\/1426331","volume":"3","author":"E Van Der Meulen","year":"1971","unstructured":"E Van Der Meulen, Three-terminal communication channels. Adv. Appl. Probab. 3(1), 120\u2013154 (1971).","journal-title":"Adv. Appl. Probab"},{"issue":"5","key":"483_CR2","doi-asserted-by":"publisher","first-page":"572","DOI":"10.1109\/TIT.1979.1056084","volume":"25","author":"TM Cover","year":"1979","unstructured":"TM Cover, AAE Gamal, Capacity theorems for the relay channel. IEEE Trans. Inf. Theory. 25(5), 572\u2013584 (1979).","journal-title":"IEEE Trans. Inf. Theory"},{"issue":"11","key":"483_CR3","doi-asserted-by":"publisher","first-page":"5235","DOI":"10.1109\/TIT.2008.929913","volume":"54","author":"S Kim","year":"2008","unstructured":"S Kim, P Mitran, V Tarokh, Performance bounds for bidirectional coded cooperation protocols. IEEE Trans. Inf. Theory. 54(11), 5235\u20135241 (2008).","journal-title":"IEEE Trans. Inf. Theory"},{"issue":"2","key":"483_CR4","doi-asserted-by":"publisher","first-page":"379","DOI":"10.1109\/JSAC.2007.070213","volume":"25","author":"B Rankov","year":"2007","unstructured":"B Rankov, A Wittneben, Spectral efficient protocols for half-duplex fading relay channels. IEEE J. Sel. Areas Commun. 25(2), 379\u2013389 (2007).","journal-title":"IEEE J. Sel. Areas Commun"},{"key":"483_CR5","volume-title":"Proc. 43rd Allerton Conf. Commun., Contr., Comput","author":"B Rankov","year":"2005","unstructured":"B Rankov, A Wittneben, in Proc. 43rd Allerton Conf. Commun., Contr., Comput. Spectral efficient protocols for nonregenerative half-duplex relaying (University of IllinoisMonticello, IL, 2005)."},{"issue":"10","key":"483_CR6","doi-asserted-by":"publisher","first-page":"6405","DOI":"10.1109\/TIT.2011.2165132","volume":"57","author":"S Kim","year":"2011","unstructured":"S Kim, N Devroye, P Mitran, V Tarokh, Achievable rate regions and performance comparison of half duplex bi-directional relaying protocols. IEEE Trans. Inf Theory. 57(10), 6405\u20136418 (2011).","journal-title":"IEEE Trans. Inf Theory"},{"issue":"10","key":"483_CR7","doi-asserted-by":"publisher","first-page":"5607","DOI":"10.1109\/TWC.2014.2338863","volume":"13","author":"S Smirani","year":"2014","unstructured":"S Smirani, M Kamoun, M Sarkiss, A Zaidi, P Duhamel, Achievable rate regions for two-way relay channel using nested lattice coding. IEEE Trans. Wireless Commun. 13(10), 5607\u20135620 (2014).","journal-title":"IEEE Trans. Wireless Commun"},{"key":"483_CR8","first-page":"1645","volume-title":"Proc. 50th Allerton Conf. Commun., Contr., Comput","author":"K Ishaque Ashar","year":"2012","unstructured":"K Ishaque Ashar, V Prathyusha, S Bhashyam, A Thangaraj, in Proc. 50th Allerton Conf. Commun., Contr., Comput. Outer bounds for the capacity region of a Gaussian two-way relay channel (IEEEMonticello, IL, 2012), pp. 1645\u20131652."},{"issue":"5","key":"483_CR9","doi-asserted-by":"publisher","first-page":"773","DOI":"10.1109\/JSAC.2009.090617","volume":"27","author":"T Koike-Akino","year":"2009","unstructured":"T Koike-Akino, P Popovski, V Tarokh, Optimized constellations for two-way wireless relaying with physical network coding. IEEE J. Sel. Areas Commun. 27(5), 773\u2013787 (2009).","journal-title":"IEEE J. Sel. Areas Commun"},{"issue":"5","key":"483_CR10","doi-asserted-by":"publisher","first-page":"788","DOI":"10.1109\/JSAC.2009.090618","volume":"27","author":"S Zhang","year":"2009","unstructured":"S Zhang, SC Liew, Channel coding and decoding in a relay system operated with physical-layer network coding. IEEE J. Sel. Areas Commun. 27(5), 788\u2013796 (2009).","journal-title":"IEEE J. Sel. Areas Commun"},{"issue":"11","key":"483_CR11","doi-asserted-by":"publisher","first-page":"3070","DOI":"10.1109\/TCOMM.2010.100510.090258","volume":"58","author":"QF Zhou","year":"2010","unstructured":"QF Zhou, Y Li, FCM Lau, B Vucetic, Decode-and-forward two-way relaying with network coding and opportunistic relay selection. IEEE Trans. Commun. 58(11), 3070\u20133076 (2010).","journal-title":"IEEE Trans. Commun"},{"issue":"11","key":"483_CR12","doi-asserted-by":"publisher","first-page":"5488","DOI":"10.1109\/TIT.2010.2069150","volume":"56","author":"W Nam","year":"2010","unstructured":"W Nam, S Chung, YH Lee, Capacity of the Gaussian two-way relay channel to within 1\/2 bit. IEEE Trans. Inf. Theory. 56(11), 5488\u20135494 (2010).","journal-title":"IEEE Trans. Inf. Theory"},{"issue":"11","key":"483_CR13","doi-asserted-by":"publisher","first-page":"5641","DOI":"10.1109\/TIT.2010.2068750","volume":"56","author":"MP Wilson","year":"2010","unstructured":"MP Wilson, K Narayanan, H Pfister, A Sprintson, Joint physical layer coding and network coding for bidirectional relaying. IEEE Trans. Inf. Theory. 56(11), 5641\u20135654 (2010).","journal-title":"IEEE Trans. Inf. Theory"},{"key":"483_CR14","volume-title":"Proc. ISITA","author":"TJ Oechtering","year":"2006","unstructured":"TJ Oechtering, H Boche, in Proc. ISITA. Optimal resource allocation for a bidirectional regenerative half-duplex relaying (IEEESeoul Korea, 2006)."},{"key":"483_CR15","volume-title":"Proc. 41st Annual Asilomar Conference on Signals, Systems, and Computers","author":"C Schnurr","year":"2007","unstructured":"C Schnurr, TJ Oechtering, S Stanczak, in Proc. 41st Annual Asilomar Conference on Signals, Systems, and Computers. Achievable rates for the restricted half-duplex two-way relay channel (IEEEPacific Grove, CA, 2007)."},{"key":"483_CR16","volume-title":"Analysis and design of communication techniques in spectrally efficient wireless relaying systems","author":"J Zhao","year":"2010","unstructured":"J Zhao, Analysis and design of communication techniques in spectrally efficient wireless relaying systems (Master\u2019s thesis, ETH Zurich, 2010)."},{"issue":"5","key":"483_CR17","doi-asserted-by":"publisher","first-page":"1204","DOI":"10.1109\/18.850663","volume":"46","author":"R Ahlswede","year":"2000","unstructured":"R Ahlswede, N Cai, S-YR Li, RW Yeung, Network information flow. IEEE Trans. Inf. Theory. 46(5), 1204\u20131216 (2000).","journal-title":"IEEE Trans. Inf. Theory"},{"key":"483_CR18","volume-title":"Proc. 39th Ann. Conf. Inf. Sci. Syst. (CISS)","author":"Y Wu","year":"2005","unstructured":"Y Wu, P Chou, S-Y Kung, in Proc. 39th Ann. Conf. Inf. Sci. Syst. (CISS). Information exchange in wireless networks with network coding and physical-layer broadcast (The Johns Hopkins UniversityBaltimore, MD, USA, 2005)."},{"key":"483_CR19","volume-title":"Proc. IEEE Vehicular Technology Conf. (VTC)","author":"P Larsson","year":"2006","unstructured":"P Larsson, N Johansson, K-E Sunell, in Proc. IEEE Vehicular Technology Conf. (VTC). Coded bidirectional relaying (IEEEMelbourne, Australia, 2006)."},{"key":"483_CR20","first-page":"707","volume-title":"Proc. IEEE Int. Conf. Commun. (ICC)","author":"P Popovski","year":"2007","unstructured":"P Popovski, H Yomo, in Proc. IEEE Int. Conf. Commun. (ICC). Physical network coding in two-way wireless relay channels (IEEEGlasgow, Scotland, 2007), pp. 707\u2013712."},{"key":"483_CR21","first-page":"1","volume-title":"Proc. IEEE GLOBECOM","author":"J Liu","year":"2009","unstructured":"J Liu, M Tao, Y Xu, X Wang, in Proc. IEEE GLOBECOM. Superimposed XOR: a new physical layer network coding scheme for two-way relay channels (IEEEHonolulu, Hawaii, 2009), pp. 1\u20136."},{"issue":"11","key":"483_CR22","doi-asserted-by":"publisher","first-page":"3070","DOI":"10.1109\/TCOMM.2010.100510.090258","volume":"58","author":"Q Zhou","year":"2010","unstructured":"Q Zhou, Y Li, F Lau, B Vucetic, Decode-and-forward two-way relaying with network coding and opportunistic relay selection. IEEE Trans. Comm. 58(11), 3070\u20133076 (2010).","journal-title":"IEEE Trans. Comm"},{"key":"483_CR23","first-page":"3898","volume-title":"Proc. IEEE Int. Conf. Commun. (ICC)","author":"I-J Baik","year":"2008","unstructured":"I-J Baik, S-Y Chung, in Proc. IEEE Int. Conf. Commun. (ICC). Network coding for two-way relay channels using lattices (IEEEBeijing, China, 2008), pp. 3898\u20133902."},{"key":"483_CR24","volume-title":"Proc. IEEE Inf. Theory Workshop (ITW)","author":"S Ghasemi-Goojani","year":"2014","unstructured":"S Ghasemi-Goojani, H Behroozi, in Proc. IEEE Inf. Theory Workshop (ITW). On the Ice-Wine problem: recovering linear combination of codewords over the Gaussian multiple access channel (IEEEHobart, Australia, 2014)."},{"key":"483_CR25","unstructured":"S Ghasemi-Goojani, H Behroozi, Nested lattice codes for Gaussian two-way relay channels. Available at \n                    http:\/\/arxiv.org\/abs\/1301.6291\n                    \n                  , Accessed Jan. 2013."},{"key":"483_CR26","volume-title":"Proc. IEEE Int. Conf. Commun. (ICC)","author":"P Zhong","year":"2012","unstructured":"P Zhong, M Vu, in Proc. IEEE Int. Conf. Commun. (ICC). Partial decode-forward coding schemes for the Gaussian two-way relay channel (IEEEOttawa, Canada, 2012)."},{"issue":"1","key":"483_CR27","doi-asserted-by":"publisher","first-page":"160","DOI":"10.1109\/JSTSP.2010.2055038","volume":"5","author":"C Gong","year":"2011","unstructured":"C Gong, G Yue, X Wang, A transmission protocol for a cognitive bidirectional shared relay system. IEEE J. Sel. Top. Sign. Proces. 5(1), 160\u2013170 (2011).","journal-title":"IEEE J. Sel. Top. Sign. Proces"},{"key":"483_CR28","volume-title":"Proc. IEEE Int. Conf. Commun. (ICC)","author":"M Khafagy","year":"2012","unstructured":"M Khafagy, A El-Keyi, M Nafie, T ElBatt, in Proc. IEEE Int. Conf. Commun. (ICC). Degrees of freedom for separated and non-separated half-duplex cellular MIMO two-way relay channels (IEEEOttawa, Canada, 2012)."},{"key":"483_CR29","first-page":"6005","volume-title":"IEEE Int. Commun. Conf. (ICC)","author":"A Zaidi","year":"2007","unstructured":"A Zaidi, L Vandendorpe, P Duhamel, in IEEE Int. Commun. Conf. (ICC). Lower bounds on the capacity regions of the relay channel and the cooperative relay-broadcast channel with non-causal side-information (IEEEGlasgow, Scotland, 2007), pp. 6005\u20136011."},{"issue":"5","key":"483_CR30","doi-asserted-by":"publisher","first-page":"2272","DOI":"10.1109\/TIT.2010.2043782","volume":"56","author":"A Zaidi","year":"2010","unstructured":"A Zaidi, SP Kotagiri, JN Laneman, L Vandendorpe, Cooperative relaying with state available non-causally at the relay. IEEE Trans. Inf. Theory. 56(5), 2272\u20132298 (2010).","journal-title":"IEEE Trans. Inf. Theory"},{"key":"483_CR31","first-page":"139","volume-title":"Proc. IEEE Information Theory Workshop (ITW)","author":"A Zaidi","year":"2008","unstructured":"A Zaidi, SP Kotagiri, JN Laneman, L Vandendorpe, in Proc. IEEE Information Theory Workshop (ITW). Cooperative relaying with state at the relay (IEEEPorto, Portugal, 2008), pp. 139\u2013143."},{"issue":"5","key":"483_CR32","doi-asserted-by":"publisher","first-page":"2639","DOI":"10.1109\/TIT.2012.2229780","volume":"59","author":"A Zaidi","year":"2013","unstructured":"A Zaidi, S Shamai, P Piantanida, L Vandendorpe, Bounds on the capacity of the relay channel with noncausal state at source. IEEE Trans. Inf. Theory. 59(5), 2639\u20132672 (2013).","journal-title":"IEEE Trans. Inf. Theory"},{"key":"483_CR33","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1155\/2009\/634296","volume":"2009","author":"A Zaidi","year":"2009","unstructured":"A Zaidi, L Vandendorpe, Lower bounds on the capacity of the relay channel with states at the source. Eurasip J. Wireless Commun. Netw. 2009:, 1\u201323 (2009).","journal-title":"Eurasip J. Wireless Commun. Netw"},{"key":"483_CR34","first-page":"639","volume-title":"Proc. IEEE ISIT","author":"A Zaidi","year":"2010","unstructured":"A Zaidi, S Shamai, P Piantanida, L Vandendorpe, in Proc. IEEE ISIT. Bounds on the capacity of the relay channel with noncausal state information at source (IEEEAustin, TX, 2010), pp. 639\u2013643."},{"key":"483_CR35","first-page":"1246","volume-title":"Proc. IEEE ISIT","author":"A Zaidi","year":"2007","unstructured":"A Zaidi, L Vandendorpe, in Proc. IEEE ISIT. Rate regions for the partially-cooperative relay broadcast channel with noncausal side information (IEEENice, France, 2007), pp. 1246\u20131250."},{"key":"483_CR36","first-page":"1","volume-title":"IEEE Int. Commun. Conf. (ICC)","author":"A Zaidi","year":"2009","unstructured":"A Zaidi, L Vandendorpe, in IEEE Int. Commun. Conf. (ICC). Achievable rates for the Gaussian relay interferer channel with a cognitive source (IEEEDresden, Germany, 2009), pp. 1\u20136."},{"issue":"11","key":"483_CR37","doi-asserted-by":"publisher","first-page":"1883","DOI":"10.1109\/LCOMM.2014.2354362","volume":"18","author":"S Ghasemi-Goojani","year":"2014","unstructured":"S Ghasemi-Goojani, H Behroozi, A new achievable rate region for the Gaussian two-way relay channel via hybrid broadcast protocol. IEEE Commun. Lett. 18(11), 1883\u20131886 (2014).","journal-title":"IEEE Commun. Lett"},{"issue":"2","key":"483_CR38","doi-asserted-by":"publisher","first-page":"694","DOI":"10.1109\/TWC.2011.120511.110269","volume":"11","author":"Y Tian","year":"2012","unstructured":"Y Tian, D Wu, C Yang, A Molisch, Asymmetric two-way relay with doubly nested lattice codes. IEEE Trans. Wireless Commun. 11(2), 694\u2013702 (2012).","journal-title":"IEEE Trans. Wireless Commun"},{"key":"483_CR39","first-page":"1292","volume-title":"Proc. 51th Ann. Allerton Conf","author":"S Bhashyam","year":"2013","unstructured":"S Bhashyam, A Thangaraj, in Proc. 51th Ann. Allerton Conf. The Gaussian two-way diamond channel (IEEEMonticello, IL, 2013), pp. 1292\u20131299."},{"issue":"10","key":"483_CR40","doi-asserted-by":"publisher","first-page":"6463","DOI":"10.1109\/TIT.2011.2165816","volume":"57","author":"B Nazer","year":"2011","unstructured":"B Nazer, M Gastpar, Compute-and-forward: harnessing interference through structured codes. IEEE Trans. Inf. Theory. 57(10), 6463\u20136486 (2011).","journal-title":"IEEE Trans. Inf. Theory"},{"issue":"22","key":"483_CR41","doi-asserted-by":"publisher","first-page":"2293","DOI":"10.1109\/TIT.2004.834787","volume":"50","author":"U Erez","year":"2004","unstructured":"U Erez, R Zamir, Achieving 1\/2 log(1 + SNR) on the AWGN channel with lattice encoding and decoding. IEEE Trans. Inf. Theory. 50(22), 2293\u20132314 (2004).","journal-title":"IEEE Trans. Inf. Theory"},{"key":"483_CR42","volume-title":"Packings, Lattices and Groups","author":"JH Conway","year":"1992","unstructured":"JH Conway, NJA Sloane, Packings, Lattices and Groups (Springer-Verlag, New York, 1992)."},{"issue":"19","key":"483_CR43","doi-asserted-by":"publisher","first-page":"3498","DOI":"10.1109\/TIT.2007.904785","volume":"53","author":"B Nazer","year":"2007","unstructured":"B Nazer, M Gastpar, Computation over multiple-access channels. IEEE Trans. Inf. Theory. 53(19), 3498\u20133516 (2007).","journal-title":"IEEE Trans. Inf. Theory"},{"issue":"4","key":"483_CR44","doi-asserted-by":"publisher","first-page":"1152","DOI":"10.1109\/18.508838","volume":"42","author":"R Zamir","year":"1996","unstructured":"R Zamir, M Feder, On lattice quantization noise. IEEE Trans. Inf. Theory. 42(4), 1152\u20131159 (1996).","journal-title":"IEEE Trans. Inf. Theory"},{"issue":"16","key":"483_CR45","doi-asserted-by":"publisher","first-page":"3401","DOI":"10.1109\/TIT.2005.855591","volume":"51","author":"U Erez","year":"2005","unstructured":"U Erez, S Litsyn, R Zamir, Lattices which are good for (almost) everything. IEEE Trans. Inf. Theory. 51(16), 3401\u20133416 (2005).","journal-title":"IEEE Trans. Inf. Theory"},{"key":"483_CR46","first-page":"1","volume-title":"IEEE Int\u2019 l Conf on Comm. (ICC)","author":"M Nokleby","year":"2011","unstructured":"M Nokleby, B Azhang, in IEEE Int\u2019 l Conf on Comm. (ICC). Lattice coding over the relay channel (IEEEKyoto, Japan, 2011), pp. 1\u20135."},{"key":"483_CR47","doi-asserted-by":"publisher","unstructured":"TM Cover, Broadcast channels. IEEE Trans. Inf. Theory. 18(13), 2\u201314 (1972).","DOI":"10.1109\/TIT.1972.1054727"},{"key":"483_CR48","doi-asserted-by":"publisher","first-page":"358","DOI":"10.1145\/1161089.1161129","volume-title":"Proceedings of the 12th annual international conference on Mobile computing and networking","author":"S Zhang","year":"2006","unstructured":"S Zhang, SC Liew, PP Lam, in Proceedings of the 12th annual international conference on Mobile computing and networking. Hot topic: physical-layer network coding (ACMLos Angeles, CA, USA, 2006), pp. 358\u2013365."},{"issue":"9","key":"483_CR49","doi-asserted-by":"publisher","first-page":"409","DOI":"10.1109\/18.312163","volume":"40","author":"G Poltyrev","year":"1994","unstructured":"G Poltyrev, On coding without restrictions for the AWGN channel. IEEE Trans. Inf. Theory. 40(9), 409\u2013417 (1994).","journal-title":"IEEE Trans. Inf. Theory"},{"key":"483_CR50","volume-title":"Elements of Information Theory","author":"TM Cover","year":"2006","unstructured":"TM Cover, JA Thomas, Elements of Information Theory, 2nd edn (John Wiley & Sons, New York, 2006)."},{"key":"483_CR51","volume-title":"41st Ann. Allerton Conf. Commun., Control Comput","author":"GD Forney","year":"2003","unstructured":"GD Forney, in 41st Ann. Allerton Conf. Commun., Control Comput. On the role of MMSE estimation in approaching the information theoretic limits of linear Gaussian channels: Shannon meets Wiener (University of IllinoisMonticello, IL, 2003)."},{"key":"483_CR52","volume-title":"Proc. 2nd International Workshop on Information Processing (IPSN)","author":"MA Khojastepour","year":"2003","unstructured":"MA Khojastepour, A Sabharwal, B Aazhang, in Proc. 2nd International Workshop on Information Processing (IPSN). Bounds on achievable rates for general multi-terminal networks with practical constraints (Sringer-VerlagPalo Alto, CA, 2003)."},{"key":"483_CR53","first-page":"1776","volume-title":"Global Telecommunications Conference, 2003. GLOBECOM\u201903","author":"M Khojastepour","year":"2003","unstructured":"M Khojastepour, A Sabharwal, B Aazhang, in Global Telecommunications Conference, 2003. GLOBECOM\u201903. On capacity of Gaussian cheap relay channel (IEEESan Francisco, USA, 2003), pp. 1776\u20131780."}],"container-title":["EURASIP Journal on Wireless Communications and Networking"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1186\/s13638-015-0483-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1186\/s13638-015-0483-2\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1186\/s13638-015-0483-2","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1186\/s13638-015-0483-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,3,26]],"date-time":"2019-03-26T12:07:35Z","timestamp":1553602055000},"score":1,"resource":{"primary":{"URL":"https:\/\/jwcn-eurasipjournals.springeropen.com\/articles\/10.1186\/s13638-015-0483-2"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,12]]},"references-count":53,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2015,12]]}},"alternative-id":["483"],"URL":"https:\/\/doi.org\/10.1186\/s13638-015-0483-2","relation":{},"ISSN":["1687-1499"],"issn-type":[{"value":"1687-1499","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,12]]},"article-number":"252"}}