Presents all of the key ideas needed to understand, design, implement and analyse iterative-based error correction schemes.
More precisely , let y ( 2 ) , ( z ) E F , [ z ] . The polynomials ( z ) and 4 ( z ) define a ring - homomorphism from Fq [ , y ) / ( f ( x ) , y ^ – a ( z ) ) to F9 [ z ] / f ( $ ( z ) ) in the following way c ( x , y ) mod ( f ( x ) ...
M M−1∑ k=0 −∞ ∞ k=0 The average energy per signal E s ∫ can be related to the ... we will deal primarily with additive white Gaussian noise (AWGN), ...
Iterative optimization of error-correcting codes has been suggested and applied by several authors in recent years. The idea was suggested in the context of calculating channel capacities in [S03a], though without discussion of the form ...
Let (J.C.)o k(x)|Z|0 kB&, Z])|X=x be the ideal of all polynomials from Ji (x)& k(x)|Z with the algebraically independent parameters a 1, ..., an replaced by the variables X1, ..., Xn. Furthermore let HG 3 k[X, Z be as above.
One may then reset all the error probabilities to the initial value p [15] and repeat the iteration process for several times until all or most the errors are corrected. Experiments [8] show that some improvement is achieved with a fast ...
Applied Algebra, Algebraic Algorithms, and Error-correcting Codes: ... International Conference, AAECC-... : Proceedings
In summary, for the multiuser channel, iterative detection may be used to incorporate global system structure (e.g., error correction coding) in mitigating MAI. As a result, significant performance gains are observed relative to a ...
... it has to be ensured that the used error correction solver in low precision converges for the given problem, ... Visualizing the mixed precision approach to an Iterative Refinement Solver If the final accuracy does not exceed the ...
Visualizing the mixed precision approach to an error correction solver In the case of an iterative solver as error correction solver, especially the iterative approaches to the Krylov subspace methods are of interest, ...
One of these iterative algorithms is described and discussed in this chapter. The algorithms are based on amalgamation of two fascinating fields, that is, coding and cryptography. More specifically, the forward error correction codes ...