메뉴 건너뛰기




Volumn 53, Issue 11, 2007, Pages 3853-3868

Perfect space-time codes for any number of antennas

Author keywords

Diversity multiplexing tradeoff (DMT); Division algebras; Multiple input multiple output (MIMO); Perfect space time (ST) codes

Indexed keywords

ALGEBRA; CODES (SYMBOLS); COMMUNICATION CHANNELS (INFORMATION THEORY); MULTIPLEXING; SIGNAL TO NOISE RATIO;

EID: 36349014997     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIT.2007.907502     Document Type: Article
Times cited : (112)

References (52)
  • 2
    • 33748556544 scopus 로고    scopus 로고
    • Explicit, minimum-delay space-time codes achieving the diversity-multiplexing gain tradeoff
    • Sep
    • P. Elia, K. R. Kumar, S. A. Pawar, P. V. Kumar, and H.-F. Lu, "Explicit, minimum-delay space-time codes achieving the diversity-multiplexing gain tradeoff," IEEE Trans. Inf. Theory, vol. 52, no. 9, pp. 3869-3884, Sep. 2006.
    • (2006) IEEE Trans. Inf. Theory , vol.52 , Issue.9 , pp. 3869-3884
    • Elia, P.1    Kumar, K.R.2    Pawar, S.A.3    Kumar, P.V.4    Lu, H.-F.5
  • 3
    • 0038363341 scopus 로고    scopus 로고
    • Diversity and multiplexing: A fundamental tradeoff in multiple-antenna channels
    • May
    • L. Zheng and D. N. C. Tse, "Diversity and multiplexing: A fundamental tradeoff in multiple-antenna channels," IEEE Trans. Inf. Theory, vol. 49, no. 5, pp. 1073-1096, May 2003.
    • (2003) IEEE Trans. Inf. Theory , vol.49 , Issue.5 , pp. 1073-1096
    • Zheng, L.1    Tse, D.N.C.2
  • 4
    • 0032023863 scopus 로고    scopus 로고
    • Space-time codes for high data rate wireless communication: Performance criterion and code construction
    • Mar
    • V. Tarokh, N. Seshadri, and A. R. Calderbank, "Space-time codes for high data rate wireless communication: Performance criterion and code construction," IEEE Trans. Inf. Theory, vol. 44, no. 2, pp. 744-765, Mar. 1998.
    • (1998) IEEE Trans. Inf. Theory , vol.44 , Issue.2 , pp. 744-765
    • Tarokh, V.1    Seshadri, N.2    Calderbank, A.R.3
  • 5
    • 0032183752 scopus 로고    scopus 로고
    • A transmitter diversity scheme for wireless communications
    • Oct
    • S. Alamouti, "A transmitter diversity scheme for wireless communications," IEEE J. Select. Areas Commun., vol. 16, no. 10, pp. 1451-1458, Oct. 1998.
    • (1998) IEEE J. Select. Areas Commun , vol.16 , Issue.10 , pp. 1451-1458
    • Alamouti, S.1
  • 6
    • 0004083131 scopus 로고    scopus 로고
    • Capacity of multi-antenna Gaussian channels
    • Dec
    • I.E. Telatar, "Capacity of multi-antenna Gaussian channels," Europ. Trans. Telecomm., vol. 10, no. 6, pp. 585-595, Dec. 1999.
    • (1999) Europ. Trans. Telecomm , vol.10 , Issue.6 , pp. 585-595
    • Telatar, I.E.1
  • 7
    • 0029697478 scopus 로고    scopus 로고
    • Signal design for transmitter diversity wireless communication systems over Rayleigh fading channels
    • Atlanta, GA
    • J.-C. Guey, M. P. Fitz, M. R. Bell, and W.-Y. Kuo, "Signal design for transmitter diversity wireless communication systems over Rayleigh fading channels," in Proc. IEEE Vehicular Technology Conf. (VTC'96) Atlanta, GA, 2000, pp. 136-140.
    • (2000) Proc. IEEE Vehicular Technology Conf. (VTC'96) , pp. 136-140
    • Guey, J.-C.1    Fitz, M.P.2    Bell, M.R.3    Kuo, W.-Y.4
  • 8
    • 0242270752 scopus 로고    scopus 로고
    • Full-diversity, high-rate, space-time block codes from division algebras
    • Oct
    • B. A. Sethuraman, B. S. Rajan, and V. Shashidhar, "Full-diversity, high-rate, space-time block codes from division algebras," IEEE Trans. Inf. Theory, vol. 49, no. 10, pp. 2596-2616, Oct. 2003.
    • (2003) IEEE Trans. Inf. Theory , vol.49 , Issue.10 , pp. 2596-2616
    • Sethuraman, B.A.1    Rajan, B.S.2    Shashidhar, V.3
  • 9
    • 23844464572 scopus 로고    scopus 로고
    • STBC-schemes with nonvanishing determinant for certain number of transmit antennas
    • Aug
    • Kiran. T. and B. S. Rajan, "STBC-schemes with nonvanishing determinant for certain number of transmit antennas," IEEE Trans. Inf. Theory vol. 51, no. 8, pp. 2984-2992, Aug. 2005.
    • (2005) IEEE Trans. Inf. Theory , vol.51 , Issue.8 , pp. 2984-2992
    • Kiran, T.1    Rajan, B.S.2
  • 10
    • 38249028106 scopus 로고
    • The Galois structure of the trace form in extensions of odd prime degree
    • B. Erez, "The Galois structure of the trace form in extensions of odd prime degree," J. Algebra, vol. 118, pp. 438-446, 1988.
    • (1988) J. Algebra , vol.118 , pp. 438-446
    • Erez, B.1
  • 11
    • 0030105118 scopus 로고    scopus 로고
    • Good lattice constellations for both Rayleigh fading and Gaussian channels
    • Mar
    • J. Boutros, E. Viterbo, C. Rastello, and J. C. Belfiore, "Good lattice constellations for both Rayleigh fading and Gaussian channels," IEEE Trans. Inf. Theory, vol. 42, no. 2, pp. 502-518, Mar. 1996.
    • (1996) IEEE Trans. Inf. Theory , vol.42 , Issue.2 , pp. 502-518
    • Boutros, J.1    Viterbo, E.2    Rastello, C.3    Belfiore, J.C.4
  • 12
    • 0032123310 scopus 로고    scopus 로고
    • Signal space diversity: A power and bandwidth efficient diversity technique for the Rayleigh fading channel
    • Jul
    • J. Boutros and E. Viterbo, "Signal space diversity: A power and bandwidth efficient diversity technique for the Rayleigh fading channel," IEEE Trans. Inf. Theory, vol. 49, no. 4, pp. 1453-1467, Jul. 1998.
    • (1998) IEEE Trans. Inf. Theory , vol.49 , Issue.4 , pp. 1453-1467
    • Boutros, J.1    Viterbo, E.2
  • 13
    • 0042572619 scopus 로고    scopus 로고
    • Lattices and number fields
    • E. Bayer-Fluckiger, "Lattices and number fields," Contemporary Math., vol. 241, pp. 69-84, 1999.
    • (1999) Contemporary Math , vol.241 , pp. 69-84
    • Bayer-Fluckiger, E.1
  • 14
    • 1942454235 scopus 로고    scopus 로고
    • n lattice constellations for the Rayleigh-fading channel
    • Apr
    • n lattice constellations for the Rayleigh-fading channel," IEEE Trans. Inf. Theory, vol. 50, no. 4, pp. 702-714, Apr. 2004.
    • (2004) IEEE Trans. Inf. Theory , vol.50 , Issue.4 , pp. 702-714
    • Bayer, E.1    Oggier, F.2    Viterbo, E.3
  • 16
    • 5044246786 scopus 로고    scopus 로고
    • The Golden code: A 2 × 2 full-rate space-time code with non-vanishing determinants
    • Chicago, IL, Jun./Jul
    • J.-C. Belfiore, G. Rekaya, and E. Viterbo, "The Golden code: A 2 × 2 full-rate space-time code with non-vanishing determinants," in Proc. IEEE Int. Symp. Information Theory, Chicago, IL, Jun./Jul 2004, p. 308.
    • (2004) Proc. IEEE Int. Symp. Information Theory , pp. 308
    • Belfiore, J.-C.1    Rekaya, G.2    Viterbo, E.3
  • 17
    • 33750597231 scopus 로고    scopus 로고
    • Explicit space-time codes that achieve the diversity-multiplexing gain tradeoff
    • Adelaide, Australia, Sep
    • P. Elia, K. R. Kumar, S. A. Pawar, P. V. Kumar, and H.-F. Lu, "Explicit space-time codes that achieve the diversity-multiplexing gain tradeoff," in Proc. IEEE Int. Symp. Information Theory, Adelaide, Australia, Sep. 2005, pp. 896-900.
    • (2005) Proc. IEEE Int. Symp. Information Theory , pp. 896-900
    • Elia, P.1    Kumar, K.R.2    Pawar, S.A.3    Kumar, P.V.4    Lu, H.-F.5
  • 18
    • 33947404130 scopus 로고    scopus 로고
    • P. Elia, B. A. Sethuraman, and P. V. Kumar, Perfect space-time codes with minimum and non-minimum delay for any number of antennas, in Proc. WirelessCom 2005, International Conference on Wireless Networks, Communications, and Mobile Computing, Maui, HL Jun. 2005, 1, pp. 722-727.
    • P. Elia, B. A. Sethuraman, and P. V. Kumar, "Perfect space-time codes with minimum and non-minimum delay for any number of antennas," in Proc. WirelessCom 2005, International Conference on Wireless Networks, Communications, and Mobile Computing, Maui, HL Jun. 2005, vol. 1, pp. 722-727.
  • 19
  • 20
    • 36348937157 scopus 로고    scopus 로고
    • On the densest MIMO lattices from cyclic division algebras, IEEE Trans. Inf. TSeory. [Online]. Available: ArXiv:cs.IT/0703052vl
    • submitted for publication
    • C. Hollanti, J. Lahtonen, K. Ranto, and R. Vehkalahti, "On the densest MIMO lattices from cyclic division algebras," IEEE Trans. Inf. TSeory. [Online]. Available: ArXiv:cs.IT/0703052vl, submitted for publication
    • Hollanti, C.1    Lahtonen, J.2    Ranto, K.3    Vehkalahti, R.4
  • 21
    • 47849087957 scopus 로고    scopus 로고
    • Asymmetric space-time block codes for MIMO systems
    • Bergen, Norway, Jul
    • C. Hollanti and K. Ranto, "Asymmetric space-time block codes for MIMO systems," in Proc. IEEE Inform. Theory Workshop, Bergen, Norway, Jul. 2007.
    • (2007) Proc. IEEE Inform. Theory Workshop
    • Hollanti, C.1    Ranto, K.2
  • 22
    • 47849114587 scopus 로고    scopus 로고
    • Dense MIMO matrix lattices and class field theoretic themes in their construction
    • Bergen, Norway, Jul
    • J. Lahtonen, "Dense MIMO matrix lattices and class field theoretic themes in their construction," in Proc. IEEE Inform. Theory Workshop Bergen, Norway, Jul. 2007.
    • (2007) Proc. IEEE Inform. Theory Workshop
    • Lahtonen, J.1
  • 23
    • 47849085867 scopus 로고    scopus 로고
    • Constructing optimal division algebras for space-time coding
    • Bergen, Norway, Jul
    • R. Vehkalahti, "Constructing optimal division algebras for space-time coding," in Proc. 'IEEE Inform. Theory Workshop, Bergen, Norway, Jul. 2007.
    • (2007) Proc. 'IEEE Inform. Theory Workshop
    • Vehkalahti, R.1
  • 25
    • 36348945063 scopus 로고    scopus 로고
    • Minimum-delay space-time codes achieving the DMD tradeoff of the MIMO-ARQ channel
    • submitted for publication
    • S. A. Pawar, K. R. Kumar, P. Elia, B. A. Sethuraman, and P. V. Kumar, "Minimum-delay space-time codes achieving the DMD tradeoff of the MIMO-ARQ channel," IEEE Trans. Inf. Theory, submitted for publication.
    • IEEE Trans. Inf. Theory
    • Pawar, S.A.1    Kumar, K.R.2    Elia, P.3    Sethuraman, B.A.4    Kumar, P.V.5
  • 26
    • 33746911145 scopus 로고    scopus 로고
    • Approximately universal codes over slow-fading channels
    • Jul
    • S. Tavildar and P. Viswanath, "Approximately universal codes over slow-fading channels," IEEE Trans. Inf. Theory, vol. 52, no. 7, pp. 3233-3258, Jul. 2006.
    • (2006) IEEE Trans. Inf. Theory , vol.52 , Issue.7 , pp. 3233-3258
    • Tavildar, S.1    Viswanath, P.2
  • 27
    • 0034460617 scopus 로고    scopus 로고
    • Space-time block codes: A capacity perspective
    • Dec
    • S. Sandhu and A. Paulraj, "Space-time block codes: A capacity perspective," IEEE Commun. Lett., vol. 4, no. 12, pp. 384-386, Dec. 2000.
    • (2000) IEEE Commun. Lett , vol.4 , Issue.12 , pp. 384-386
    • Sandhu, S.1    Paulraj, A.2
  • 29
    • 0036495068 scopus 로고    scopus 로고
    • A construction of a space-time code based on number theory
    • Mar
    • M. O. Damen, A. Tewfik, and J.-C. Belfiore, "A construction of a space-time code based on number theory," IEEE Trans. Inf. Theory, vol. 48, no. 3, pp. 753-761, Mar. 2002.
    • (2002) IEEE Trans. Inf. Theory , vol.48 , Issue.3 , pp. 753-761
    • Damen, M.O.1    Tewfik, A.2    Belfiore, J.-C.3
  • 30
    • 0036649525 scopus 로고    scopus 로고
    • High-rate codes that are linear in space and time
    • Jul
    • B. Hassibi and B. M. Hochwald, "High-rate codes that are linear in space and time," IEEE Trans. Inf. Theory, vol. 48, no. 7, pp. 1804-1824, Jul. 2002.
    • (2002) IEEE Trans. Inf. Theory , vol.48 , Issue.7 , pp. 1804-1824
    • Hassibi, B.1    Hochwald, B.M.2
  • 31
    • 0036352248 scopus 로고    scopus 로고
    • A new family of full rate diverse space-time code based on Galois theory
    • Lausanne, Switzerland, Jun./Jul
    • S. Galliou and J.-C. Belfiore, "A new family of full rate diverse space-time code based on Galois theory," in Proc. IEEE Int. Symp. Information Theory, Lausanne, Switzerland, Jun./Jul. 2002, p. 419.
    • (2002) Proc. IEEE Int. Symp. Information Theory , pp. 419
    • Galliou, S.1    Belfiore, J.-C.2
  • 32
    • 0842289313 scopus 로고    scopus 로고
    • STBC's using capacity achieving designs from cyclic division algebras
    • San Francisco, CA, Dec
    • V. Shashidhar, B. S. Rajan, and B. A. Sethuraman, "STBC's using capacity achieving designs from cyclic division algebras," in Proc. GLOBECOM 2003 - IEEE Global Telecommunications Conf., San Francisco, CA, Dec. 2003, vol. 22, no. 1, pp. 1957-1962.
    • (2003) Proc. GLOBECOM 2003 - IEEE Global Telecommunications Conf , vol.22 , Issue.1 , pp. 1957-1962
    • Shashidhar, V.1    Rajan, B.S.2    Sethuraman, B.A.3
  • 33
    • 33748525203 scopus 로고    scopus 로고
    • Information-loss-less space-time block codes from crossed product algebras
    • Sep
    • V. Shashidhar, B. S. Rajan, and B. A. Sethuraman, "Information-loss-less space-time block codes from crossed product algebras," IEEE Trans. Inf. Theory, vol. 52, no. 9, pp. 3913-3935, Sep. 2006.
    • (2006) IEEE Trans. Inf. Theory , vol.52 , Issue.9 , pp. 3913-3935
    • Shashidhar, V.1    Rajan, B.S.2    Sethuraman, B.A.3
  • 34
    • 0013311174 scopus 로고    scopus 로고
    • Universal space-time coding
    • May
    • H. El Gamal and M. O. Damen, "Universal space-time coding," IEEE Trans. Inf. Theory, vol. 49, no. 5, pp. 1097-1119, May 2003.
    • (2003) IEEE Trans. Inf. Theory , vol.49 , Issue.5 , pp. 1097-1119
    • El Gamal, H.1    Damen, M.O.2
  • 35
    • 26444504572 scopus 로고    scopus 로고
    • On the construction of capacity achieving full diversity space-time block codes
    • Stockholm, Sweden, Jun
    • C. Pietsch and J. Lindner, "On the construction of capacity achieving full diversity space-time block codes," in Proc. IEEE 61st Semiannual Vehicular Technology Conf. (VTC), Stockholm, Sweden, Jun. 2005, pp. 1652-1658.
    • (2005) Proc. IEEE 61st Semiannual Vehicular Technology Conf. (VTC) , pp. 1652-1658
    • Pietsch, C.1    Lindner, J.2
  • 37
    • 0031276871 scopus 로고    scopus 로고
    • Averaging arguments for lattices and linear codes
    • Nov
    • H. A. Loeliger, "Averaging arguments for lattices and linear codes," IEEE Trans. Inf. Theory, vol. 43, no. 6, pp. 1767-1773, Nov. 1997.
    • (1997) IEEE Trans. Inf. Theory , vol.43 , Issue.6 , pp. 1767-1773
    • Loeliger, H.A.1
  • 38
    • 0036649525 scopus 로고    scopus 로고
    • High-rate codes that are linear in space and time
    • Jul
    • B. Hassibi and B. M. Hochwald, "High-rate codes that are linear in space and time," IEEE Trans. Inf. Theory, vol. 48, no. 7, pp. 1804-1824, Jul. 2002.
    • (2002) IEEE Trans. Inf. Theory , vol.48 , Issue.7 , pp. 1804-1824
    • Hassibi, B.1    Hochwald, B.M.2
  • 39
    • 2942653060 scopus 로고    scopus 로고
    • Lattice coding and decoding achieve the optimal diversity-multilpexing tradeoff of MIMO channels
    • Jun
    • H. El Gamal, G. Caire, and M. O. Damen, "Lattice coding and decoding achieve the optimal diversity-multilpexing tradeoff of MIMO channels," IEEE Trans. Inf. Theory, vol. 50, no. 6, pp. 968-985, Jun. 2004.
    • (2004) IEEE Trans. Inf. Theory , vol.50 , Issue.6 , pp. 968-985
    • El Gamal, H.1    Caire, G.2    Damen, M.O.3
  • 40
    • 4143137958 scopus 로고    scopus 로고
    • An optimal two transmit antenna space-time code and its stacked extensions
    • Monterey, CA, Nov
    • P. Dayal and M. K. Varanasi, "An optimal two transmit antenna space-time code and its stacked extensions," in Proc. Asilomar Conf. Signals, Systems and Computers, Monterey, CA, Nov. 2003.
    • (2003) Proc. Asilomar Conf. Signals, Systems and Computers
    • Dayal, P.1    Varanasi, M.K.2
  • 41
    • 0842332458 scopus 로고    scopus 로고
    • Structured space-time block codes with optimal diversity-multiplexing tradeoff and minimum delay
    • San Francisco, CA, Dec
    • H. Yao and G. W. Wornell, "Structured space-time block codes with optimal diversity-multiplexing tradeoff and minimum delay," in Proc. GLOBECOM'03 - IEEE Global Telecommunications Conf., San Francisco, CA, Dec. 2003, vol. 4, pp. 1941-1945.
    • (2003) Proc. GLOBECOM'03 - IEEE Global Telecommunications Conf , vol.4 , pp. 1941-1945
    • Yao, H.1    Wornell, G.W.2
  • 42
    • 15044343522 scopus 로고    scopus 로고
    • On optimal multi-layer cyclotomic space-time code designs
    • Mar
    • G. Wang and X.-G. Xia, "On optimal multi-layer cyclotomic space-time code designs," IEEE Trans. Inf. Theory, vol. 51, no. 3, pp. 1102-1135, Mar. 2005.
    • (2005) IEEE Trans. Inf. Theory , vol.51 , Issue.3 , pp. 1102-1135
    • Wang, G.1    Xia, X.-G.2
  • 43
    • 10744225146 scopus 로고    scopus 로고
    • Universal space-time trellis codes
    • Oct
    • C. Köse and R. D. Wesel, "Universal space-time trellis codes," IEEE Trans. Inf. Theory, vol. 49, no. 10, pp. 2717-2727, Oct. 2003.
    • (2003) IEEE Trans. Inf. Theory , vol.49 , Issue.10 , pp. 2717-2727
    • Köse, C.1    Wesel, R.D.2
  • 44
    • 0000324960 scopus 로고
    • Eigen values and condition numbers of random matrices
    • Oct
    • A. Edelman, "Eigen values and condition numbers of random matrices," SIAM J. Matrix Anal. Applic., vol. 9, no. 4, pp. 543-560, Oct. 1988.
    • (1988) SIAM J. Matrix Anal. Applic , vol.9 , Issue.4 , pp. 543-560
    • Edelman, A.1
  • 45
    • 36348983167 scopus 로고
    • Providence, R. I, Amer. Math. Soc
    • A. A. Albert, Structure of Algebras. Providence, R. I.: Amer. Math. Soc., 1961, vol. 24.
    • (1961) Structure of Algebras , vol.24
    • Albert, A.A.1
  • 46
    • 0004150838 scopus 로고
    • New York: Springer Verlag
    • D. A. Marcus, Number Fields. New York: Springer Verlag, 1977.
    • (1977) Number Fields
    • Marcus, D.A.1
  • 49
    • 0004023293 scopus 로고
    • Associative Algebras
    • New York/Berlin: Springer-Verlag
    • R. S. Pierce, Associative Algebras, Graduate Texts in Mathematics. New York/Berlin: Springer-Verlag, 1982.
    • (1982) Graduate Texts in Mathematics
    • Pierce, R.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.