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Constructing Coset Codes With Optimal Same-Symbol Weight for Detecting Narrowband Interference in M -FSK Systems

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4 Author(s)
Versfeld, D.J.J. ; Sch. of Electr. & Inf. Eng., Univ. of the Witwatersrand, Johannesburg, South Africa ; Vinck, A.J.H. ; Ridley, J.N. ; Ferreira, H.C.

Narrowband interference can cause undetected errors when M-FSK data is encoded with an algebraic code containing the all-e codewords. This is due to the fact that the narrowband interferer will cause the output of the M-FSK demodulator to correspond to one of the all- e codewords. One possible solution is to use a coset code of a code containing the repetition code. The choice of the coset leader should be such that the resulting coset code has minimum same-symbol weight. We give a general construction for generating coset codes with minimum same-symbol weight and present results where an optimal coset code for an (n, k) Reed-Solomon code is applied in an M-FSK environment with narrowband interference. From the results it is evident that the optimal coset codes outperform linear codes when narrowband interference is present.

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Information Theory, IEEE Transactions on  (Volume:56 ,  Issue: 12 )