Anti-jamming properties of MFSK/FH-SSMA systems using FH patterns generated from permutation polynomials

We examine the effect of partial-band jamming in MFSK/FH-SSMA systems with FH patterns generated by permutation polynomials. If M(x)=m/sub 0/+m/sub 1/x+/spl middot//spl middot//spl middot/+m/sub k-1/x/sup k-1/ is a permutation polynomial over GF(q), where m/sub 0/ is a data symbol and the combination of m/sub 1/,/spl middot//spl middot//spl middot/,m/sub k-1/ corresponds to a user, then the FH pattern to be transmitted, (M(0), M(1),/spl middot//spl middot//spl middot/,M(/spl alpha//sup q-2/)) (/spl alpha/ is a primitive element), takes the entire range of frequency levels as uniformly as possible. This FH pattern construction gives a good anti-jamming property. Moreover, we propose a new decoding scheme to improve the performance of MFSK/FH-SSMA systems in the presence of jamming.