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On the relaxed maximum-likelihood blind MIMO channel estimation for orthogonal space-time block codes

Kalbasi, K ; Sharif University of Technology | 2020

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  1. Type of Document: Article
  2. DOI: 10.1016/j.sigpro.2020.107653
  3. Publisher: Elsevier B. V , 2020
  4. Abstract:
  5. This paper concerns the maximum-likelihood channel estimation for MIMO systems with orthogonal space-time block codes when the finite alphabet constraint of the signal constellation is relaxed. We study the channel coefficients estimation subspace generated by this method. We provide an algebraic characterisation of this subspace which turns the optimization problem into a purely algebraic one and more importantly, leads to several interesting analytical proofs. We prove that with probability one, the dimension of the estimation subspace for the channel coefficients is deterministic and it decreases by increasing the number of receive antennas up to a certain critical number of receive antennas, after which the dimension remains constant. In fact, we show that beyond this critical number of receive antennas, the estimation subspace for the channel coefficients is isometric to a fixed deterministic invariant space which can be easily computed for every specific OSTB code. © 2020
  6. Keywords:
  7. Blind channel estimation ; Estimation subspace ; Hurwitz-Radon family ; MIMO systems ; Relaxed maximum-likelihood ; Algebra ; Blind equalization ; Block codes ; Channel estimation ; Receiving antennas ; Space-time block coding (STBC) ; Blind mimo channel estimations ; Channel coefficient ; Critical numbers ; Finite alphabet ; Maximum-likelihood channel estimation ; Optimization problems ; Signal constellation ; Space time codes ; Orthogonal space-time block codes
  8. Source: Signal Processing ; Volume 175 , October , 2020
  9. URL: https://www.sciencedirect.com/science/article/abs/pii/S0165168420301961