In a fast FH spread spectrum system, the information is transmitted via FSK, with noncoherent detection. Suppose there are N = 3 hops/bit, with hard-decision decoding of the signal in each hop.
a. Determine the probability of error for this system in an AWGN channel with power spectral density 1 2 N0 and an SNR = 13 dB (total SNR over the three hops).
b. Compare the result in (a) with the error probability of an FH spread spectrum system that hops once per bit.