Consider the FH binary orthogonal FSK system described in Problem 15.7. Suppose that the hop rate is increased to two hops/bit. The receiver uses square-law combining to combine the signal over the two hops.
1. Determine the hopping bandwidth for the channel.
2. What is the processing gain?
3. What is the error probability in the presence of AWGN?
Problem 15.7
An FH binary orthogonal FSK system employs an m = 15 stage linear feedback shift register that generates a maximal length sequence. Each state of the shift register selects one of N nonoverlapping frequency bands in the hopping pattern. The bit rate is 100 bits/sec and the hop rate is once per bit. The demodulator employs noncoherent detection.
1. Determine the hopping bandwidth for this channel.
2. What is the processing gain?
3. What is the probability of error in the presence of AWGN?