Closed-Form Channel Estimation for MIMO Space–Time Coded Systems Using a Fourth-Order Tensor-Based Receiver

2017 ◽  
Vol 37 (3) ◽  
pp. 1343-1357 ◽  
Author(s):  
Gilderlan T. de Araújo ◽  
André L. F. de Almeida
Keyword(s):  
Channel Estimation ◽  
Closed Form ◽  
Fourth Order ◽  
Space Time ◽  
Order Tensor ◽  
Coded Systems ◽  
Fourth Order Tensor

scholarly journals Integrity basis for a second-order and a fourth-order tensor

1982 ◽  
Vol 5 (1) ◽  
pp. 87-96 ◽  
Author(s):  
Josef Betten
Keyword(s):  
Fourth Order ◽  
Second Order ◽  
Tensor Function ◽  
Order Tensor ◽  
Isotropic Tensor ◽  
Anisotropic Properties ◽  
Isotropic Tensor Function ◽  
Fourth Order Tensor

In this paper a scalar-valued isotropic tensor function is considered, the variables of which are constitutive tensors of orders two and four, for instance, characterizing the anisotropic properties of a material. Therefore, the system of irreducible invariants of a fourth-order tensor is constructed. Furthermore, the joint or simultaneous invariants of a second-order and a fourth-order tensor are found. In a similar way one can construct an integrity basis for a tensor of order greater than four, as shown in the paper, for instance, for a tensor of order six.

Adaptive fourth-order tensor beamformer

2011 ◽  
Author(s):  
Xirui Zhang ◽  
Zhiwen Liu ◽  
Yougen Xu ◽  
Xiaofeng Gong
Keyword(s):  
Fourth Order ◽  
Order Tensor ◽  
Fourth Order Tensor

Relation between Eshelby stress and Eshelby fourth-order tensor within an ellipsoidal inclusion

2016 ◽  
Vol 228 (3) ◽  
pp. 1045-1069 ◽  
Author(s):  
Mawafag F. Alhasadi ◽  
Salvatore Federico
Keyword(s):  
Fourth Order ◽  
Ellipsoidal Inclusion ◽  
Order Tensor ◽  
Eshelby Stress ◽  
Fourth Order Tensor

Blind Channel Estimation in Space-Time Block Coded Systems

2009 ◽  
pp. 156-182
Author(s):  
Javier Vía ◽  
Ignacio Santamaría ◽  
Jesús Ibáñez
Keyword(s):  
Channel Estimation ◽  
Block Codes ◽  
Space Time ◽  
Blind Channel Estimation ◽  
Time Block ◽  
Second Order Statistics ◽  
Space Time Block Codes ◽  
Blind Channel ◽  
Coded Systems ◽  
Single Set

This chapter analyzes the problem of blind channel estimation under Space-Time Block Coded transmissions. In particular, a new blind channel estimation technique for a general class of space-time block codes is proposed. The method is solely based on the second-order statistics of the observations, and its computational complexity reduces to the extraction of the main eigenvector of a generalized eigenvalue problem. Additionally, the identifiability conditions associated to the blind channel estimation problem are analyzed, which is exploited to propose a new transmission technique based on the idea of code diversity or combination of different codes. This technique resolves the ambiguities in most of the practical cases, and it can be reduced to a non-redundant precoding consisting in a single set of rotations or permutations of the transmit antennas. Finally, the performance of the proposed techniques is illustrated by means of several simulation examples.

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