Abstract
This work addresses code design and code selection rules under power and decoding delay constraints for antipodal (BPSK) modulated and convolutkmally encoded communication system. The system operates over a slowly-fading AWGN channel, described here by the ‘block fading’ model. We specialize to coherent detection and maximum likelihood decoding with ideal channel information (the instantaneous fading values). The dominant design criterion in this scenario is the code diversity level in terms of blocks while the standard Hamming distance plays a secondary role. A code design procedure is presented along with a code-search algorithm. Performance results of a selected code are assessed via simulation and compared to those achieved by a Reed-Solomon code with erasure and error decoding.
Preview
Unable to display preview. Download preview PDF.
References
Ozarow, L.H., Shamai (Shitz), S., Wyner, A.D.: Information theoretic considerations for cellular mobile radio, Proc. of the Int'l Comsphere '91 Symp., Herzlia, Israel, Dec. 91, pp. 10.1.1–10.1.4; also to appear in IEEE Trans. on Veh. Technology.
Matsumoto, T., Higashi, A.: Performance analysis of RS-coded M-ary FSK for frequency-hopping mobile radios, IEEE Trans. on Veh. Tech., Vol. 41, No. 3, pp. 266–270, Aug. 1992.
Proakis, J.G.: Digital Communications, Ch. 7. New York: McGraw-Hill, 2nd edit., 1990.
Geist, J.M., Cain, J.B.: Viterbi decoder performance in Gaussian and periodic erasure bursts, IEEE Trans. on Commun., Vol. COM-28, No. 8, pp. 1417–1422, Aug. 1980.
Divsalar, D., Simon, M.K.: The design of trellis coded MPSK for fading channels: performance criteria, IEEE Trans. on Commun., Vol. 36, pp. 1004–1012, Sept. 1988.
Kadishevitz, Y.: Convolutional codes for channels with memory, M.Sc. dissertation, Dept. of Elect. Eng., Technion, Israel, Dec. 1991.
Trumpis, B.D.: Convolutional coding for M-ary channels. Ph.D. dissertation, UCLA, 1975.
Ryan, W.E., Wilson, S.G.: Two classes of convolutional codes over GF(q) for q-ary orthogonal signaling”, IEEE Trans. on Commun., Vol. 39, No. 1, pp. 30–40, Jan. 1991.
Lapidoth, A.: The performance of convolutional codes on the block erasure channel using various finite interleaving techniques”, submitted to IEEE Trans. on Inform. Theory; presented at Int'l Conf. on Inform. Theory, San Antonio, Jan. 1993.
Piret, P.: Convolutional Codes — An Algebraic Approach, Ch. 11. Cambridge: MIT Press, 1988.
Kovalev, S.I.: Non-binary low rate Convolutional codes with almost optimum weight spectrum, presented at the 1st French-Soviet Workshop, Algebraic Coding, Paris, France, pp. 82–86, July 1991.
Rodgers, W.E., Lackey, R.B.: Burst error correcting Convolutional codes with short constraint lengths, IEEE Trans. on Inform. Theory, Vol. IT-26, No. 3, pp. 354–359, May 1980.
Hagenauer, J., Lutz, E.: Forward error correction coding for fading compensation in mobile satellite channels, IEEE Journal on Select. Areas in Commun., Vol. SAC-5, No. 2, pp. 215–225, Feb. 1987.
Viterbi, A.J., Omma, J.K.: Principles of Digital Communication and Coding. New York: McGraw-Hill, 1979.
Kofman, Y., Zehavi, E., Shamai (Shitz), S.: Convolutional codes for noncoherent detection, Proc. of ISSSE'92 Conf., Paris, pp, 121–123, Sept., 1992.
Massey, J.L., Sain, M.K.: Inversion of linear sequential circuits, IEEE Trans. on Computers, Vol. C-18, No. 4, pp. 330–337, Apr. 1968.
Massey, J.L., Costello, D.J., Justesen, J.: Polynomial weights and code constructions, IEEE Trans. on Inform. Theory, Vol. IT-19, No. 1, pp. 101–110, Jan. 1973.
Justesen, J.: New convolutional code constructions and a class of asymptotically good time-varying codes, IEEE Trans. on Inform. Theory, Vol. IT-19, No. 2, pp. 220–225, March 1973.
Kaplan, G., Shamai (Shitz), S.: Achievable performance over the correlated Rician channel, accepted for publication in IEEE Trans. on Commun.
MacWilliams, F.J., Sloane, N.J.A.: The Theory of Error-Correcting Codes. North-Holland, 1977.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1994 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Kaplan, G., Shamai, S., Kofman, Y. (1994). On the design and selection of convolutional codes for a bursty Rician channel. In: Cohen, G., Litsyn, S., Lobstein, A., Zémor, G. (eds) Algebraic Coding. Algebraic Coding 1993. Lecture Notes in Computer Science, vol 781. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-57843-9_2
Download citation
DOI: https://doi.org/10.1007/3-540-57843-9_2
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-57843-7
Online ISBN: 978-3-540-48357-1
eBook Packages: Springer Book Archive