RRNS Based Error Detection and Correction in CDMA using Chinese Remainder Theorem
Keywords:
Redundant Residue Number System (RRNS), Chinese Remainder Theorem (CRT) CDMAAbstract
In communication systems corruption of data and hacking of data is unavoidable. These are the major problems we are facing in communication system. This paper presents an enhanced multiple error detection and correction scheme based on the Redundant Residue Number System (RRNS). RRNS is often used in parallel processing environments because of its ability to increase the robustness of information passing between the processors. The proposed multiple error correction scheme utilizes the Chinese Remainder Theorem (CRT) together with a novel algorithm that significantly simplifies the error correcting process for integers. This enhanced scheme is compared with the existing method and this enhanced scheme is used in the CDMA application.
References
- Barsi and P. Maestrini, “Error correcting properties of redundant residue number systems,” IEEE Trans. Comput., vol. 81, pp. 307-315, Mar. 1973.
- P. E. Beckmann and B. R. Musicus, “Fast fault-tolerant digital convolution using a polynomial residue number system,” IEEE Trans. Signal Processing, vol. 41, pp. 2300- 2313, July 1993.
- O. Goldreich, D. Ron, and M. Sudan, “Chinese remaindering with errors,” IEEE Trans. Inform. Theory, vol. 46, pp. 1330-1338, July 2000.
- Krishna, K. Y. Lin, and J. D. Sun, “A coding theory approach to error control in redundant residue number systems. Part I: Theory and single error correction,” IEEE Trans. Circuits Syst., vol. 39, pp. 8-17, Jan. 1992.
- D. M. Mandelbaum, “Error correction in residue arithmetic,” IEEE Trans. Comput., vol. 21, pp. 538-545, June 1972.
- D. M. Mandelbaum, “On a class of arithmetic codes and a decoding algorithm,” IEEE Trans. Inform. Theory, vol. 22, pp. 85-88, Jan. 1976.
- D. Sun and H. Krishna, “A coding theory approach to error control in redundant residue number systems. Part II: Multiple error detection and correction,” IEEE Trans. Circuits Syst., vol. 39, pp. 18-34, Jan. 1992.
- Vik Tor Goh and Mohammed Umar Siddiqi “Mutiple Error detection and Correction Based on Redundant Residue Number Systems” IEEE Transaction on Communication Vol.56, No.3, March 2008.
- K. Yen, L.L. Yang, and L. Hanzo, “Residue Number System Assisted CDMA: A New System Concept” Department Of Electronics And Computer Science, University Of Southampton, UK.
- L. L. Yang and L. Hanzo, “Redundant residue number system based error correction codes,” in Proc. 54th Veh. Technol. Conf., 2001, pp. 1472-1476.
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