Performance of block codes using the eigenstructure of the code correlation matrix and soft-decision decoding of BPSK
World Academy of Science, Engineering and Technology
Department of Electrical and Information Engineering, University of Nairobi, Nairobi, Kenya; National Academy of Aviation, Baku, Azerbaijan
A method is presented for obtaining the error probability for block codes. The method is based on the eigenvalueeigenvector properties of the code correlation matrix. It is found that under a unary transformation and for an additive white Gaussian noise environment, the performance evaluation of a block code becomes a one-dimensional problem in which only one eigenvalue and its corresponding eigenvector are needed in the computation. The obtained error rate results show remarkable agreement between simulations and analysis.
Additive White Gaussian noise; Correlation matrix; Eigen-structure; Eigen-value; Error probabilities; Error rate; One-dimensional problem; Performance evaluation; Soft decision decoding; Weight vector; Bit error rate; Block codes; Decoding; Eigenvalues and eigenfunctions