메뉴 건너뛰기




Volumn 55, Issue 8, 2009, Pages 3751-3780

On the densest MIMO lattices from cyclic division algebras

Author keywords

Cyclic division algebras (CDAs); Dense lattices; Discriminants; Hasse invariants; Maximal orders; Multiple input multiple output (MIMO) channels; Multiplexing; Space time block codes (STBCs)

Indexed keywords

CYCLIC DIVISION ALGEBRAS (CDAS); DENSE LATTICES; DISCRIMINANTS; HASSE INVARIANTS; MAXIMAL ORDERS; MULTIPLE-INPUT MULTIPLE-OUTPUT (MIMO) CHANNELS; SPACE-TIME BLOCK CODES (STBCS);

EID: 68249153415     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIT.2009.2023713     Document Type: Article
Times cited : (53)

References (43)
  • 1
    • 0029697478 scopus 로고    scopus 로고
    • Signal design for transmitter diversity wireless communication systems over rayleigh fading channels
    • Atlanta, GA, Apr
    • 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, Apr. 1996, pp. 136-140.
    • (1996) 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
  • 2
    • 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
  • 3
    • 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," inProc. 2004 IEEE Int. Symp. Information Theory, Chicago, IL, Jun./Jul. 2004, p. 308.
    • (2004) Proc. 2004 IEEE Int. Symp. Information Theory , pp. 308
    • Belfiore, J.-C.1    Rekaya, G.2    Viterbo, E.3
  • 4
    • 0032183752 scopus 로고    scopus 로고
    • A simple transmitter diversity scheme for wireless communications
    • Oct
    • S. M. Alamouti, "A simple transmitter diversity scheme for wireless communications," IEEE J. Sel. Areas Commun., vol. 16, no. 8, pp. 1451-1458, Oct. 1998.
    • (1998) IEEE J. Sel. Areas Commun , vol.16 , Issue.8 , pp. 1451-1458
    • Alamouti, S.M.1
  • 5
    • 54749101248 scopus 로고    scopus 로고
    • Maximal orders in the design of dense space-time lattice codes
    • Oct
    • C. Hollanti, J. Lahtonen, and H.-F. Lu, "Maximal orders in the design of dense space-time lattice codes," IEEE Trans. Inf. Theory, vol. 54, no. 10, pp. 4493-4510, Oct. 2008.
    • (2008) IEEE Trans. Inf. Theory , vol.54 , Issue.10 , pp. 4493-4510
    • Hollanti, C.1    Lahtonen, J.2    Lu, H.-F.3
  • 6
  • 7
    • 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
  • 8
    • 84939203293 scopus 로고    scopus 로고
    • Quaternionic lattices for space-time coding
    • Paris, France, Mar./Apr
    • J.-C. Belfiore and G. Rekaya, "Quaternionic lattices for space-time coding," in Proc. IEEE Information Theory Workshop, Paris, France, Mar./Apr. 2003, pp. 267-270.
    • (2003) Proc. IEEE Information Theory Workshop , pp. 267-270
    • Belfiore, J.-C.1    Rekaya, G.2
  • 11
    • 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
  • 12
  • 13
    • 33748525203 scopus 로고    scopus 로고
    • Information-loss-less STBCs from crossed-product algebras
    • Sep
    • V. Shashidhar, B. S. Rajan, and B. A. Sethuraman, "Information-loss-less STBCs 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
  • 14
    • 33748556544 scopus 로고    scopus 로고
    • Explicit construction of space-time block codes achieving the diversity-multiplexing gain tradeoff
    • Sep
    • P. Elia, K. R. Kumar, S. A. Pawar, P. V. Kumar, and H.-F. Lu, "Explicit construction of space-time block 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
  • 15
    • 15044343522 scopus 로고    scopus 로고
    • On optimal multilayer cyclotomic space-time code designs
    • Mar
    • G. Wang and X.-G. Xia, "On optimal multilayer 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
  • 16
    • 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
  • 18
    • 0035442498 scopus 로고    scopus 로고
    • A new approach to layered space-time coding and signal processing
    • Sep
    • H. El Gamal and J. A. R. Hammons, "A new approach to layered space-time coding and signal processing," IEEE Trans. Inf. Theory, vol. 47, no. 6, pp. 2321-2334, Sep. 2001.
    • (2001) IEEE Trans. Inf. Theory , vol.47 , Issue.6 , pp. 2321-2334
    • El Gamal, H.1    Hammons, J.A.R.2
  • 19
    • 62749084523 scopus 로고    scopus 로고
    • Construction methods for asymmetric and multi-block space-time codes
    • Mar
    • C. Hollanti and H.-F. Lu, "Construction methods for asymmetric and multi-block space-time codes," IEEE Trans. Inf. Theory, vol. 55, no. 3, pp. 1086-1103, Mar. 2009.
    • (2009) IEEE Trans. Inf. Theory , vol.55 , Issue.3 , pp. 1086-1103
    • Hollanti, C.1    Lu, H.-F.2
  • 20
    • 68249154416 scopus 로고    scopus 로고
    • New space-time code construcions for two-user multiple access channels, IEEE J. Special Topics in Signal Processing: Managing Complexity in Multiuser MIMO Systems
    • submitted for publication
    • H.-F. Lu, R. Vehkalahti, C. Hollanti, J. Lahtonen, Y. Hong, and E. Viterbo, "New space-time code construcions for two-user multiple access channels," IEEE J. Special Topics in Signal Processing: Managing Complexity in Multiuser MIMO Systems, submitted for publication.
    • Lu, H.-F.1    Vehkalahti, R.2    Hollanti, C.3    Lahtonen, J.4    Hong, Y.5    Viterbo, E.6
  • 21
    • 0042435971 scopus 로고
    • On the complexity of finding maximal orders in semisimple algebras over Q
    • G. Ivanyos and L. Rónyai, "On the complexity of finding maximal orders in semisimple algebras over Q," Computat. Complexity, vol. 3, pp. 245-261, 1993.
    • (1993) Computat. Complexity , vol.3 , pp. 245-261
    • Ivanyos, G.1    Rónyai, L.2
  • 22
    • 68249148732 scopus 로고    scopus 로고
    • MAGMA Computational Algebra System, Univ. Sydney, Sydney, Australia [Online]. Available: http://magma.maths.usyd.edu.au/ magma/htmlhelp/text835.htm#8121
    • "MAGMA Computational Algebra System," Univ. Sydney, Sydney, Australia [Online]. Available: http://magma.maths.usyd.edu.au/ magma/htmlhelp/text835.htm#8121
  • 24
    • 33144478508 scopus 로고    scopus 로고
    • Algebraic lattice constellations: Bounds on performance
    • Jan
    • E. Bayer-Fluckiger, F. Oggier, and E. Viterbo, "Algebraic lattice constellations: Bounds on performance," IEEE Trans. Inf. Theory, vol. 52, no. 1, pp. 319-327, Jan. 2006.
    • (2006) IEEE Trans. Inf. Theory , vol.52 , Issue.1 , pp. 319-327
    • Bayer-Fluckiger, E.1    Oggier, F.2    Viterbo, E.3
  • 25
    • 61349157402 scopus 로고    scopus 로고
    • Space-time codes from structured lattices
    • Feb
    • K. R. Kumar and G. Caire, "Space-time codes from structured lattices," IEEE Trans. Inf. Theory vol. 55, no. 2, pp. 547-556, Feb 2009.
    • (2009) IEEE Trans. Inf. Theory , vol.55 , Issue.2 , pp. 547-556
    • Kumar, K.R.1    Caire, G.2
  • 28
    • 33751054313 scopus 로고    scopus 로고
    • A new tool: Constructing STBCs from maximal orders in central simple algebras
    • Punta del Este, Uruguay, Mar
    • C. Hollanti and J. Lahtonen, "A new tool: Constructing STBCs from maximal orders in central simple algebras," in Proc. 2006 IEEE Information Theory Workshop, Punta del Este, Uruguay, Mar. 2006.
    • (2006) Proc. 2006 IEEE Information Theory Workshop
    • Hollanti, C.1    Lahtonen, J.2
  • 29
    • 68249161598 scopus 로고    scopus 로고
    • Class Field Theoretic Methods in the Design of Lattice Signal Constellations
    • Ph.D. dissertation, Turku, Finland, Online, Available
    • R. Vehkalahti, "Class Field Theoretic Methods in the Design of Lattice Signal Constellations" Ph.D. dissertation, Turku, Finland, 2008 [Online]. Available: https://oa.doria.fi/handle/10024/36604, TUCS Dissertations Series, no. 100
    • (2008) TUCS Dissertations Series , Issue.100
    • Vehkalahti, R.1
  • 30
    • 0003805590 scopus 로고
    • San Francisco, CA: W. H. Freeman
    • N. Jacobson, Basic Algebra II. San Francisco, CA: W. H. Freeman, 1980.
    • (1980) Basic Algebra II
    • Jacobson, N.1
  • 31
    • 38349015625 scopus 로고    scopus 로고
    • Online, Available:, Lecture notes for a course given at the University of Michigan, Ann Arbor
    • J. S. Milne, "Class Field Theory," [Online]. Available: http:// www.jmilne.org/math/coursenotes/, Lecture notes for a course given at the University of Michigan, Ann Arbor
    • Class Field Theory
    • Milne, J.S.1
  • 32
    • 51849109479 scopus 로고    scopus 로고
    • On the algebraic structure of the silver code: A 2 × 2 perfect space-time code with non-vanishing determinant
    • Porto, Portugal, May
    • C. Hollanti, J. Lahtonen, K. Ranto, R. Vehkalahti, and E. Viterbo, "On the algebraic structure of the silver code: A 2 × 2 perfect space-time code with non-vanishing determinant," in Proc. 2008 IEEE Inf. Theory Workshop, Porto, Portugal, May 2008, pp. 91-94.
    • (2008) Proc. 2008 IEEE Inf. Theory Workshop , pp. 91-94
    • Hollanti, C.1    Lahtonen, J.2    Ranto, K.3    Vehkalahti, R.4    Viterbo, E.5
  • 34
    • 36349014997 scopus 로고    scopus 로고
    • Perfect space-time codes for any number of antennas
    • Nov
    • P. Elia, B. A. Sethuraman, and P. V. Kumar, "Perfect space-time codes for any number of antennas," IEEE Trans. Inf. Theory, vol. 53, no. 11, pp. 3853-3868, Nov. 2007.
    • (2007) IEEE Trans. Inf. Theory , vol.53 , Issue.11 , pp. 3853-3868
    • Elia, P.1    Sethuraman, B.A.2    Kumar, P.V.3
  • 35
    • 47749149640 scopus 로고    scopus 로고
    • Online, Available:, Lecture notes for a course given at the University of Michigan, Ann Arbor
    • J. S. Milne, "Algebraic Number Theory" [Online]. Available: http://www.jmilne.org/math/coursenotes/, Lecture notes for a course given at the University of Michigan, Ann Arbor
    • Algebraic Number Theory
    • Milne, J.S.1
  • 36
    • 0042936679 scopus 로고
    • Algorithmic properties of maximal orders in simple algebras over Q
    • L. Rónyai, "Algorithmic properties of maximal orders in simple algebras over Q," Computat. Complexity, vol. 2, pp. 225-243, 1992.
    • (1992) Computat. Complexity , vol.2 , pp. 225-243
    • Rónyai, L.1
  • 37
    • 0000492177 scopus 로고
    • Computing the structure of finite algebras
    • Mar
    • L. Rónyai, "Computing the structure of finite algebras," J. Symb. Comput., vol. 9, no. 3, pp. 355-373, Mar. 1990.
    • (1990) J. Symb. Comput , vol.9 , Issue.3 , pp. 355-373
    • Rónyai, L.1
  • 38
    • 47849093226 scopus 로고
    • Maximal orders in rational cyclic algebras of composite degree
    • S. Perlis, "Maximal orders in rational cyclic algebras of composite degree," Trans. Amer. Math. Soc., vol. 46, pp. 82-96, 1939.
    • (1939) Trans. Amer. Math. Soc , vol.46 , pp. 82-96
    • Perlis, S.1
  • 42
    • 68249148733 scopus 로고    scopus 로고
    • PARI/GP Computer Algebra System, Version 2.2.12, Bordeaux, France, 2005 [Online, Available
    • PARI/GP Computer Algebra System, Version 2.2.12, Bordeaux, France, 2005 [Online]. Available: http://pari.math.u-bordeaux.fr
  • 43
    • 77951110425 scopus 로고    scopus 로고
    • Maximal orders in space-time coding: Construction and decoding
    • Auckland, New Zealand, Dec
    • C. Hollanti and K. Ranto, "Maximal orders in space-time coding: Construction and decoding," in Proc. 2008 Int. Symp. Information Theory and its Applications, Auckland, New Zealand, Dec. 2008, pp. 1459-1463.
    • (2008) Proc. 2008 Int. Symp. Information Theory and its Applications , pp. 1459-1463
    • Hollanti, C.1    Ranto, K.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.