Optimal linear MIMO relay communication under a constraint on the condition number of relay transform matrix

2011 ◽  
Author(s):  
M. H. Shariat ◽  
M. Biguesh ◽  
S. Gazor
Keyword(s):  
Condition Number ◽  
Mimo Relay ◽  
Relay Communication ◽  
Optimal Linear ◽  
Transform Matrix

Effect of the Condition Number of the Inverse Fourier Transform Matrix on the Solution Behavior of the Time Spectral Equation System

2020 ◽  
Author(s):  
Sen Zhang ◽  
Dingxi Wang ◽  
Yi Li ◽  
Hangkong Wu ◽  
Xiuquan Huang
Keyword(s):  
Fourier Transform ◽  
Stability Analysis ◽  
Condition Number ◽  
Inverse Fourier Transform ◽  
Real Life ◽  
Equation System ◽  
Time Instant ◽  
Transform Matrix ◽  
Spectral Equation ◽  
The Impact

Abstract The time spectral method is a very popular reduced order frequency method for analyzing unsteady flow due to its advantage of being easily extended from an existing steady flow solver. Condition number of the inverse Fourier transform matrix used in the method can affect the solution convergence and stability of the time spectral equation system. This paper aims at evaluating the effect of the condition number of the inverse Fourier transform matrix on the solution stability and convergence of the time spectral method from two aspects. The first aspect is to assess the impact of condition number using a matrix stability analysis based upon the time spectral form of the scalar advection equation. The relationship between the maximum allowable Courant number and the condition number will be derived. Different time instant groups which lead to the same condition number are also considered. Three numerical discretization schemes are provided for the stability analysis. The second aspect is to assess the impact of condition number for real life applications. Two case studies will be provided: one is a flutter case, NASA rotor 67, and the other is a blade row interaction case, NASA stage 35. A series of numerical analyses will be performed for each case using different time instant groups corresponding to different condition numbers. The conclusion drawn from the two real life case studies will corroborate the relationship derived from the matrix stability analysis.

scholarly journals Turbo packet combining for broadband MIMO relay communication

2009 ◽  
Author(s):  
Tarik Ait-Idir ◽  
Houda Chafnaji ◽  
Halim Yanikomeroglu ◽  
Samir Saoudi
Keyword(s):  
Packet Combining ◽  
Mimo Relay ◽  
Relay Communication

Robust Channel Estimation for 5G mm Wave Massive MIMO Relay Communication Systems

2021 ◽  
Author(s):  
Heyun Lin ◽  
Hailong Zhu ◽  
Youmin Yang ◽  
Guolun Huang ◽  
Kui Huang ◽  
...  
Keyword(s):  
Channel Estimation ◽  
Massive Mimo ◽  
Communication Systems ◽  
Mimo Relay ◽  
Relay Communication

Optimal multi-input–multi-output relay transform matrix with a bounded condition number

2014 ◽  
Vol 8 (15) ◽  
pp. 2713-2719
Author(s):  
Mohammad Hassan Shariat ◽  
Mehrzad Biguesh ◽  
Saeed Gazor
Keyword(s):  
Condition Number ◽  
Transform Matrix
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