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

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.