Performance of Block Codes Using the Eigenstructure of the Code Correlation Matrixand Soft-Decision Decoding of BPSK
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.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1074918Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1592
 Shu Lin and Daniel J. Costello, Jr., Error Control Coding: Fundamentals and Applications, Prentice Hall: Englewood Cliffs, NJ, 1983.
 A. M. Michelson and A. H. Levesque, "Error-Control Techniques for Digital Communication", a Wiley-Interscience Publication, 1985
 W.W. Peterson and E.J. Weldon, Jr., Error-Correcting Codes, 2nd edition, MIT Press: Cambridge, Mass., 1972.
 F.J. MacWilliams and N.J.A. Sloane, The Theory of Error-Correcting Codes, North-Holland: New York, NY, 1977.
 E. R. Berlekamp, R. E. Peile, and S. P. Pope, "The Application of Error Control to Communications," IEEE Communications Magazine., Vol. 25, pp. 44-57, 1987.
 Wicker, Stephen B., Error Control Systems for Digital Communication and Storage, Upper Saddle River, N.J., Prentice Hall, 1995.
 S. Haykin, Adaptive Filter Theory, 4th Edition, (Appendix E. Eigenanalysis), Prentice Hall 2001
 S. Haykin, Communication Systems, 4th Edition, John Wiley & Sons 2001
 G.H. Golub, C.F. Van Loan, Matrix Computations, 3rd ed. Johns Hopkins, 1996.
 J.G. Proakis, Digital Communications, 3rd Ed, McGraw-Hill, 1995.