“…For instance, a seven-error correcting RS (31,16) is an RS code in which n D 31, k D 16, m D 5, t D 7, and d min D 15. Assuming hard decision decoding, the RS bit error probability in terms of the channel symbol error probability, p, is approximated as Figure 3 shows the bit error probability of M-PSK modulation over an AWGN channel as a function of SNR per bit, for different values of M and for three different scenarios, one without using channel coding, one using Hamming (7,4), and one using RS (31,16) with t D 7. We observe that for any given SNR per bit, the bit error performance deteriorates as M increases.…”