scholarly journals Upper Burst Error Bound for Atmospheric Correlated Optical Communications Using an Alternative Matrix Decomposition

10.5772/24119 ◽  
2011 ◽  
Author(s):  
Antonio Jurado-Navas ◽  
Jose Maria ◽  
Miguel Castillo-Vazquez ◽  
Antonio Puerta-Notario
Keyword(s):  
Error Bound ◽  
Optical Communications ◽  
Matrix Decomposition ◽  
Burst Error

scholarly journals Matrix decompositions using sub-Gaussian random matrices

2018 ◽  
Vol 8 (3) ◽  
pp. 445-469 ◽  
Author(s):  
Yariv Aizenbud ◽  
Amir Averbuch
Keyword(s):  
Error Bound ◽  
State Of The Art ◽  
Matrix Decomposition ◽  
Singular Values ◽  
Random Projection ◽  
Error Rates ◽  
The State ◽  
Matrix Decompositions ◽  
Asymptotic Complexity ◽  
Value Decomposition

Abstract In recent years, several algorithms which approximate matrix decomposition have been developed. These algorithms are based on metric conservation features for linear spaces of random projection types. We present a new algorithm, which achieves with high probability a rank-$r$ singular value decomposition (SVD) approximation of an $n \times n$ matrix and derive an error bound that does not depend on the first $r$ singular values. Although the algorithm has an asymptotic complexity similar to state-of-the-art algorithms and the proven error bound is not as tight as the state-of-the-art bound, experiments show that the proposed algorithm is faster in practice while providing the same error rates as those of the state-of-the-art algorithms. We also show that an i.i.d. sub-Gaussian matrix with large probability of having null entries is metric conserving. This result is used in the SVD approximation algorithm, as well as to improve the performance of a previously proposed approximated LU decomposition algorithm.

A Novel Turbo Coded Modulation Scheme for Deep Space Optical Communications

2010 ◽  
Vol E93.B (5) ◽  
pp. 1260-1263 ◽  
Author(s):  
Sangmok OH ◽  
Inho HWANG ◽  
Adrish BANERJEE ◽  
Jeong Woo LEE
Keyword(s):  
Optical Communications ◽  
Coded Modulation ◽  
Modulation Scheme ◽  
Deep Space ◽  
Turbo Coded Modulation

Channel Characterization for Free-Space Optical Communications

2012 ◽  
Author(s):  
L. C. Andrews ◽  
R. L. Phillips ◽  
R. Crabbs ◽  
T. Leclerc ◽  
P. Sauer
Keyword(s):  
Optical Communications ◽  
Free Space ◽  
Free Space Optical ◽  
Channel Characterization
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