A number of authors have examined the problem of determining the codeword error probability, P/sub e/, in an asynchronous frequency-hopped spread spectrum multiple access (FH-SSMA) communication system. In this letter, we present a method for determining P/sub e/ in a time-slotted system which incorporates a guard time and study the effect of the guard time on P/sub e/ and some other performance measures.

At every hop in a conventional frequency-hopped spread spectrum multiple-access (FH-SSMA) system, each transmitter sends its data using a single frequency bin. In this paper, a scheme in which several frequency bins are simultaneously used by a transmitter is studied. It is found that such a code diversity scheme can yield a significant reduction in symbol error rate over that of a conventional FH-SSMA system. A priority system can also be implemented by assigning different diversity degrees to the transmitters.

The probability of undetected error P/sub u/( epsilon ) for the primitive triple-error-correcting BCH codes of blocklength 2/sup m/-1 used solely for error detection on a binary symmetric channel with crossover probability epsilon>