Abstract:

In the communication system, the frequency hopping signal not only has time shift, but also frequency shift. The construction of the frequency hopping sequence with the timefrequency twodimensional low or no hit zone are studied. The upper bound of the timefrequency twodimensional period Hamming autocorrelation function of Reed-Solomon (RS) codes is proved. Two methods of construction are proposed. The first method based on RS codes is to construct the period frequency hopping sequence set with the timefrequency twodimensional low hit zone. The second method is to construct the aperiodic frequency hopping sequence set with the timefrequency twodimensional no hit zone by matrix. These methods can enrich the theoretical results on the frequency hopping sequence with the timefrequency twodimensional low or no hit zone.