Abstract
Radio communications are often desirable for data and voice communications in an indoor environment. Wireless technology offers an improved mobility since the users are not confined to any particular location by wires. This paper investigates the use of Reed–Muller codes in an indoor wireless environment. Code combining is used to exploit the multiple signal copies resulting from the inherent frequency diversity of spread spectrum. The performance of Reed–Muller codes is compared with that of convolutional codes of similar rates and comparable decoding complexity. The complete weight distribution of various Reed–Muller codes is presented.
Similar content being viewed by others
References
M.K. Simon, J.K. Omura, R.A. Scholtz and B.K. Levitt, Spread Spectrum Communications Handbook, Rev. ed., New York: McGraw-Hill, 1994.
G.L. Turin, “Introduction to spread-spectrum antimultipath techniques and their application to urban digital radio” Proc. IEEE, Vol. 68, pp. 328–353, 1980.
D.J. Costello and S. Lin, Error Control Coding: Fundamentals and Applications, New Jersey: Prentice-Hall, 1983.
F.J. MacWilliams and N.J.A. Sloane, The Theory of Error Correcting Codes, New York: North-Holland, 1977.
D. Chase, “Code combining - A maximum-likelihood decoding approach for combining an arbitrary number of noisy packets,” IEEE Trans. Commun., Vol. COM-33, pp. 385–393, 1985.
M. Kavehrad and P.J. McLane, “Performance of low-complexity channel coding and diversity for spread spectrum in indoor, wireless communication,” AT&T Tech. Journal, Vol. 64, pp. 1927–1965, 1985.
J.G. Proakis, Digital Communications, 2nd ed., New York: McGraw-Hill, 1989.
J.K. Wolf, “Efficient maximum likelihood decoding of linear block codes using a trellis,” IEEE Trans. Inform. Theory, Vol. IT-24, pp. 76–80, 1978.
M.B. Pursley, “Performance evaluation for phase-coded spread-spectrum multiple-access communication - Part II: Code sequence analysis,” IEEE Trans. Commun., Vol. COM-25, pp. 800–803, 1977.
D. Haccoun and G. Begin, “High-rate punctured convolutional codes for Viterbi and sequential decoding,” IEEE Trans. Commun., Vol. 37, pp. 1113–1125, 1989.
M. Esmaeili, T.A. Gulliver and N.P. Secord, “On the trellis structure of linear block codes,” submitted to IEEE Trans. Inf. Theory, 1996, 27 typed pages.
J. Conan, “The weight spectra of some short low-rate convolutional codes,” IEEE Trans.Commun., Vol. COM-32, pp. 1050–1053, 1984.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Firmanto, W.T., Gulliver, T.A. Code Combining of Reed–Muller Codes in an Indoor Wireless Environment. Wireless Personal Communications 6, 359–373 (1998). https://doi.org/10.1023/A:1008840519827
Issue Date:
DOI: https://doi.org/10.1023/A:1008840519827