메뉴 건너뛰기




Volumn 60, Issue 3, 2014, Pages 1840-1856

A Feasibility test for linear interference alignment in MIMO channels with constant coefficients

Author keywords

algebraic geometry; differential topology; Interference alignment; MIMO interference channel; polynomial equations

Indexed keywords

COCHANNEL INTERFERENCE; GEOMETRY; POLYNOMIALS; TOPOLOGY;

EID: 84896812269     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIT.2014.2301440     Document Type: Conference Paper
Times cited : (68)

References (45)
  • 1
    • 79960492172 scopus 로고    scopus 로고
    • Interference alignment: A new look at signal dimensions in a communication network
    • S. A. Jafar, "Interference alignment: A new look at signal dimensions in a communication network, " Found. Trends Commun. Inf. Theory, vol. 7, no. 1, pp. 1-136, 2011.
    • (2011) Found. Trends Commun. Inf. Theory , vol.7 , Issue.1 , pp. 1-136
    • Jafar, S.A.1
  • 2
    • 38349129070 scopus 로고    scopus 로고
    • Degrees of freedom region of the MIMO X channel
    • Jan.
    • S. A. Jafar and S. Shamai, "Degrees of freedom region of the MIMO X channel, " IEEE Trans. Inf. Theory, vol. 54, no. 1, pp. 151-170, Jan. 2008.
    • (2008) IEEE Trans. Inf. Theory , vol.54 , Issue.1 , pp. 151-170
    • Jafar, S.A.1    Shamai, S.2
  • 3
    • 48849083691 scopus 로고    scopus 로고
    • Communications over MIMO X channels: Interference alignment, decomposition, and performance analysis
    • Aug.
    • M. Maddah-Ali, A. Motahari, and A. Khandani, "Communications over MIMO X channels: Interference alignment, decomposition, and performance analysis, " IEEE Trans. Inf. Theory, vol. 54, no. 8, pp. 3457-3470, Aug. 2008.
    • (2008) IEEE Trans. Inf. Theory , vol.54 , Issue.8 , pp. 3457-3470
    • Maddah-Ali, M.1    Motahari, A.2    Khandani, A.3
  • 4
    • 48849113556 scopus 로고    scopus 로고
    • Interference alignment and degrees of freedom region of the K-user interference channel
    • Aug.
    • V. R. Cadambe and S. A. Jafar, "Interference alignment and degrees of freedom region of the K-user interference channel, " IEEE Trans. Inf. Theory, vol. 54, no. 8, pp. 3425-3441, Aug. 2008.
    • (2008) IEEE Trans. Inf. Theory , vol.54 , Issue.8 , pp. 3425-3441
    • Cadambe, V.R.1    Jafar, S.A.2
  • 6
    • 70350726406 scopus 로고    scopus 로고
    • The degrees-of-freedom of the K-user Gaussian interference channel is discontinuous at rational channel coefficients
    • Nov.
    • R. H. Etkin and E. Ordentlich, "The degrees-of-freedom of the K-user Gaussian interference channel is discontinuous at rational channel coefficients, " IEEE Trans. Inf. Theory, vol. 55, no. 11, pp. 4932-4946, Nov. 2009.
    • (2009) IEEE Trans. Inf. Theory , vol.55 , Issue.11 , pp. 4932-4946
    • Etkin, R.H.1    Ordentlich, E.2
  • 7
    • 80054817178 scopus 로고    scopus 로고
    • Degrees of freedom of the interference channel: A general formula
    • Jul.
    • Y. Wu, S. Shamai, and S. Verdú, "Degrees of freedom of the interference channel: A general formula, " in Proc. IEEE ISIT, Jul. 2011, pp. 1344-1348.
    • (2011) Proc. IEEE ISIT , pp. 1344-1348
    • Wu, Y.1    Shamai, S.2    Verdú, S.3
  • 8
    • 77955596336 scopus 로고    scopus 로고
    • On feasibility of interference alignment in MIMO interference networks
    • Sep.
    • C. M. Yetis, T. Gou, S. A. Jafar, and A. H. Kayran, "On feasibility of interference alignment in MIMO interference networks, " IEEE Trans. Signal Process., vol. 58, no. 9, pp. 4771-4782, Sep. 2010.
    • (2010) IEEE Trans. Signal Process. , vol.58 , Issue.9 , pp. 4771-4782
    • Yetis, C.M.1    Gou, T.2    Jafar, S.A.3    Kayran, A.H.4
  • 10
    • 78149417620 scopus 로고    scopus 로고
    • The feasibility of interference alignment over measured MIMO-OFDM channels
    • Nov.
    • O. El Ayach, S. Peters, and R. W. J. Heath, "The feasibility of interference alignment over measured MIMO-OFDM channels, " IEEE Trans. Veh. Technol., vol. 59, no. 9, pp. 4309-4321, Nov. 2010.
    • (2010) IEEE Trans. Veh. Technol. , vol.59 , Issue.9 , pp. 4309-4321
    • El Ayach, O.1    Peters, S.2    Heath, R.W.J.3
  • 11
    • 79955978444 scopus 로고    scopus 로고
    • Experimental validation of interference alignment techniques using a multiuser MIMO testbed
    • Feb.
    • Ó. González, D. Ramírez, I. Santamaría, J. A. García-Naya, and L. Castedo, "Experimental validation of interference alignment techniques using a multiuser MIMO testbed, " in Proc. Int. ITG WSA, Feb. 2011, pp. 1-8.
    • (2011) Proc. Int. ITG WSA , pp. 1-8
    • González, O.1    Ramírez, D.2    Santamaría, I.3    García-Naya, J.A.4    Castedo, L.5
  • 13
    • 84855955704 scopus 로고    scopus 로고
    • On the degrees of freedom achievable through interference alignment in a MIMO interference channel
    • Feb.
    • M. Razaviyayn, G. Lyubeznik, and Z.-Q. Luo, "On the degrees of freedom achievable through interference alignment in a MIMO interference channel, " IEEE Trans. Signal Process., vol. 60, no. 2, pp. 812-821, Feb. 2012.
    • (2012) IEEE Trans. Signal Process. , vol.60 , Issue.2 , pp. 812-821
    • Razaviyayn, M.1    Lyubeznik, G.2    Luo, Z.-Q.3
  • 14
    • 34447311374 scopus 로고    scopus 로고
    • Degrees of freedom for the MIMO interference channel
    • DOI 10.1109/TIT.2007.899557
    • S. A. Jafar and M. Fakhereddin, "Degrees of freedom for MIMO interference channel, " IEEE Trans. Inf. Theory, vol. 53, no. 7, pp. 2637-2642, Jul. 2007. (Pubitemid 47061918)
    • (2007) IEEE Transactions on Information Theory , vol.53 , Issue.7 , pp. 2637-2642
    • Jafar, S.A.1    Fakhereddin, M.J.2
  • 15
    • 78649392344 scopus 로고    scopus 로고
    • Degrees of freedom of the K user M × N MIMO interference channel
    • Dec.
    • T. Gou and S. A. Jafar, "Degrees of freedom of the K user M × N MIMO interference channel, " IEEE Trans. Inf. Theory, vol. 56, no. 2, pp. 6040-6057, Dec. 2010.
    • (2010) IEEE Trans. Inf. Theory , vol.56 , Issue.2 , pp. 6040-6057
    • Gou, T.1    Jafar, S.A.2
  • 18
    • 79960424418 scopus 로고    scopus 로고
    • Dynamic interference mitigation for generalized partially connected quasi-static MIMO interference channel
    • Aug.
    • L. Ruan and V. K. N. Lau, "Dynamic interference mitigation for generalized partially connected quasi-static MIMO interference channel, " IEEE Trans. Signal Process., vol. 59, no. 8, pp. 3788-3798, Aug. 2011.
    • (2011) IEEE Trans. Signal Process. , vol.59 , Issue.8 , pp. 3788-3798
    • Ruan, L.1    Lau, V.K.N.2
  • 19
    • 84968505377 scopus 로고
    • Complexity of bèzout's theorem. I. Geometric aspects
    • M. Shub and S. Smale, "Complexity of Bèzout's theorem. I. Geometric aspects, " J. Amer. Math. Soc., vol. 6, no. 2, pp. 459-501, 1993.
    • (1993) J. Amer. Math. Soc. , vol.6 , Issue.2 , pp. 459-501
    • Shub, M.1    Smale, S.2
  • 21
    • 84875692425 scopus 로고    scopus 로고
    • The feasibility conditions for interference alignment in MIMO networks
    • Apr.
    • L. Ruan, V. K. N. Lau, and M. Z. Win, "The feasibility conditions for interference alignment in MIMO networks, " IEEE Trans. Signal Process., vol. 61, no. 8, pp. 2066-2077, Apr. 2013.
    • (2013) IEEE Trans. Signal Process. , vol.61 , Issue.8 , pp. 2066-2077
    • Ruan, L.1    Lau, V.K.N.2    Win, M.Z.3
  • 22
    • 84855243155 scopus 로고    scopus 로고
    • Algorithm 915, SuiteSparseQR: Multifrontal multithreaded rank-revealing sparse QR factorization
    • Dec.
    • T. A. Davis, "Algorithm 915, SuiteSparseQR: Multifrontal multithreaded rank-revealing sparse QR factorization, " ACM Trans. Math. Softw., vol. 38, no. 1, pp. 8:1-8:22, Dec. 2011.
    • (2011) ACM Trans. Math. Softw. , vol.38 , Issue.1 , pp. 81-822
    • Davis, T.A.1
  • 23
    • 0039943513 scopus 로고
    • LSQR: An algorithm for sparse linear equations and sparse least squares
    • C. C. Paige and M. A. Saunders, "LSQR: An algorithm for sparse linear equations and sparse least squares, " ACM Trans. Math. Softw., vol. 8, no. 1, pp. 43-71, 1982.
    • (1982) ACM Trans. Math. Softw. , vol.8 , Issue.1 , pp. 43-71
    • Paige, C.C.1    Saunders, M.A.2
  • 26
    • 0017217375 scopus 로고
    • Riemann's hypothesis and tests for primality
    • G. L. Miller, "Riemann's hypothesis and tests for primality, " J. Comput. Syst. Sci., vol. 13, no. 3, pp. 300-317, 1976.
    • (1976) J. Comput. Syst. Sci. , vol.13 , Issue.3 , pp. 300-317
    • Miller, G.L.1
  • 27
    • 33845432604 scopus 로고
    • Probabilistic algorithm for testing primality
    • M. O. Rabin, "Probabilistic algorithm for testing primality, " J. Number Theory, vol. 12, no. 1, pp. 128-138, 1980.
    • (1980) J. Number Theory , vol.12 , Issue.1 , pp. 128-138
    • Rabin, M.O.1
  • 28
    • 84860262627 scopus 로고    scopus 로고
    • Linear transceiver design for interference alignment: Complexity and computation
    • May
    • M. Razaviyayn, M. Sanjabi, and Z.-Q. Luo, "Linear transceiver design for interference alignment: Complexity and computation, " IEEE Trans. Inf. Theory, vol. 58, no. 5, pp. 2896-2910, May 2012.
    • (2012) IEEE Trans. Inf. Theory , vol.58 , Issue.5 , pp. 2896-2910
    • Razaviyayn, M.1    Sanjabi, M.2    Luo, Z.-Q.3
  • 29
    • 80052655079 scopus 로고    scopus 로고
    • On the complexity of leakage interference minimization for interference alignment
    • Y.-F. Liu, Y.-H. Dai, and Z.-Q. Luo, "On the complexity of leakage interference minimization for interference alignment, " in Proc. IEEE 12th Int. Workshop SPAWC, 2010, pp. 471-475.
    • (2010) Proc. IEEE 12th Int. Workshop SPAWC , pp. 471-475
    • Liu, Y.-F.1    Dai, Y.-H.2    Luo, Z.-Q.3
  • 32
    • 84867519250 scopus 로고    scopus 로고
    • A general test to check the feasibility of linear interference alignment
    • Jul.
    • Ó. González, I. Santamaría, and C. Beltrán, "A general test to check the feasibility of linear interference alignment, " in Proc. IEEE ISIT, Jul. 2012, pp. 2481-2485.
    • (2012) Proc. IEEE ISIT , pp. 2481-2485
    • González, O.1    Santamaría, I.2    Beltrán, C.3
  • 34
    • 84867507822 scopus 로고    scopus 로고
    • Subspace alignment chains and the degrees of freedom of the three-user MIMO interference channel
    • Jul.
    • C. Wang, T. Gou, and S. A. Jafar, "Subspace alignment chains and the degrees of freedom of the three-user MIMO interference channel, " in Proc. IEEE ISIT, Jul. 2012, pp. 2471-2475.
    • (2012) Proc. IEEE ISIT , pp. 2471-2475
    • Wang, C.1    Gou, T.2    Jafar, S.A.3
  • 35
    • 79957652217 scopus 로고    scopus 로고
    • A distributed numerical approach to interference alignment and applications to wireless interference networks
    • Jun.
    • K. S. Gomadam, V. R. Cadambe, and S. A. Jafar, "A distributed numerical approach to interference alignment and applications to wireless interference networks, " IEEE Trans. Inf. Theory, vol. 57, no. 6, pp. 3309-3322, Jun. 2011.
    • (2011) IEEE Trans. Inf. Theory , vol.57 , Issue.6 , pp. 3309-3322
    • Gomadam, K.S.1    Cadambe, V.R.2    Jafar, S.A.3
  • 36
    • 70349218041 scopus 로고    scopus 로고
    • Interference alignment via alternating minimization
    • Apr.
    • S. W. Peters and R. W. Heath, "Interference alignment via alternating minimization, " in Proc. IEEE ICASSP, Apr. 2009, pp. 2445-2448.
    • (2009) Proc. IEEE ICASSP , pp. 2445-2448
    • Peters, S.W.1    Heath, R.W.2
  • 38
    • 84867515659 scopus 로고    scopus 로고
    • Genie chains and the degrees of freedom of the K-user MIMO interference channel
    • C. Wang, H. Sun, and S. A. Jafar, "Genie chains and the degrees of freedom of the K-user MIMO interference channel, " in Proc. IEEE ISIT, 2012, pp. 2476-2480.
    • (2012) Proc. IEEE ISIT , pp. 2476-2480
    • Wang, C.1    Sun, H.2    Jafar, S.A.3
  • 42
    • 0002238393 scopus 로고
    • Les connexions infinitésimales dans un espace fibré différentiable
    • Hartington, NE, USA: Thone
    • C. Ehresmann, "Les connexions infinitésimales dans un espace fibré différentiable, " in Colloque de Topologie (Espaces Fibrés, Bruxelles. Hartington, NE, USA: Thone, 1951, pp. 29-55.
    • (1951) Colloque de Topologie (Espaces Fibrés, Bruxelles , pp. 29-55
    • Ehresmann, C.1
  • 43
    • 0031316480 scopus 로고    scopus 로고
    • Ehresmann fibrations and Palais-Smale conditions for morphisms of Finsler manifolds
    • P. J. Rabier, "Ehresmann fibrations and Palais-Smale conditions for morphisms of Finsler manifolds, " Ann. Math., vol. 146, no. 3, pp. 647-691, 1997.
    • (1997) Ann. Math. , vol.146 , Issue.3 , pp. 647-691
    • Rabier, P.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.