Analog Codes for Gross Error Correction in Signal Transmission

Fang Ning Hu; Werner Henkel; Ming Jie Zhao

doi:10.4028/www.scientific.net/AMR.341-342.514

Paper Titles

The ERM-Based Self-Adaptive Agent Model
p.494

A Cloud Model to Implement SaaS
p.499

A Heart Sound Acquisition and Analysis System
p.504

Exact Outage Probability Analysis for Selection Decode-and-Forward Cooperation Systems
p.509

Analog Codes for Gross Error Correction in Signal Transmission
p.514

Research and Design of the Security Area Classification Model of Electric Power Information System
p.519

Simulation and Performance Analysis of OFDM System Based on Simulink
p.524

An Efficient Algorithm for Sequential Pattern Mining with Time Constraints
p.530

Face Detection Based on Color Model and Grayscale Value Distribution
p.535

HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 341-342Analog Codes for Gross Error Correction in Signal...

Analog Codes for Gross Error Correction in Signal Transmission

Abstract:

We proposed a novel decoding algorithm for Analog Codes (Reed-Solomon Codes over complex numbers), the syndrome repairing (SR) algorithm, for gross error correction in signal transmission. Simulations show that, if the number of gross errors is not too large and the amplitude of background noise is small enough (compared to the amplitude of gross errors), the SR algorithm recovers the original signal with nearly the same accuracy as if no gross errors occur upon transmission. In particular, if the transmission is background-noise-free, then the recovery is exact.

You might also be interested in these eBooks

Material and Manufacturing Technology II

View Preview

Info:

Periodical:

Advanced Materials Research (Volumes 341-342)

Pages:

514-518

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.341-342.514

Citation:

Cite this paper

Online since:

September 2011

Authors:

Fang Ning Hu, Werner Henkel, Ming Jie Zhao

Keywords:

Analog Code, DFT Code, Reed Solomon Code, Syndrome Repairing

Export:

RIS, BibTeX

Price:

Permissions CCC:

Request Permissions

Permissions PLS:

Request Permissions

Сopyright:

Citation:

References

[1] Jack Keil Wolf, Analog codes, " in IEEE International Conference on Communication (ICC, 83), Boston, MA, USA, vol. 1, p.310–312, June (1983).

Google Scholar

[2] Werner Henkel and Fangning Hu, OFDM and analog RS/BCH codes, in 10th International OFDM-Workshp, Hamburg, August (2005).

Google Scholar

[3] Thomas G. Marshall, Coding of real-number sequences for error correction: a digital signal processing problem, IEEE Journal on Selected Areas in Communications, vol. SAC-2, no. 2, p.381–392, March (1984).

DOI: 10.1109/jsac.1984.1146063

Google Scholar

[4] I. S. Reed and G. Solomon, Polynomial codes over certain finite fields, Journal of the Society for Industrial and Applied Mathematics, vol. 8, no. 2, p.300–304, (1960).

DOI: 10.1137/0108018

Google Scholar

[5] Richard E. Blahut, Algebraic codes for data transmission, Cambridge University Press, (2003).

Google Scholar

[6] G. W. Stewart and Ji-Guang Sun, Matrix Perturbation theory, Academic Press, San Diego, (1990).

Google Scholar

[7] Moody T. Chu, Robert E. Funderlic, and Robert J. Plemmons, Structured low rank approximation, Linear Algebra and Its Applications, vol. 366, p.157–172, June (2003).

DOI: 10.1016/s0024-3795(02)00505-0

Google Scholar