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Indeed, for p e =0.01, the detection probability of the method of the mean calculation is constant and equal to 1 in the case of the two codes.
For each code, the method based on the mean calculation is applied to blindly identify the code word length n when it max =1. Figure 11 shows the detection probabilities of n by the method based on the mean calculation.
For LDPC (n=6,k=3) and LDPC (n=16,k=8) over GF 8), the probability of detecting the correct n by the method based on the arithmetic mean calculation is depicted according to the error probability p e.
We can deduce that the method based on the mean calculation is slightly sensitive to the increase of the Galois field dimension q. Figure 10 Impact of the Galois field dimension q on the detection probability of n by the proposed method considering it max =1.
For each value of q, the method based on the mean calculation is applied to blindly identify the code word length of LDPC (n=6, k=3) over GF q) when it max =1. Figure 10 depicts the probability of detecting the correct n by our blind identification method according to the error probability p e in the cases of GF(4), GF 8), and GF 16).
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a 3 asthma participants excluded from mean calculation were diagnosed in early childhood/infancy.
All mean calculations were based on geometric mean calculation as it serves the Pareto Principle and therefore seems to be the correct approach in theory [10, 34].
All parameters were measured with electronic calipers, and mean calculations were obtained from three or more consecutive cardiac cycles.
The mean calculations are based on data categorised as 1 = [Never]; 2 = [1 3 times/month]; 3 = [1 3 times/week]; 4 = [4 6 times/week]; 5 = [1 2 times/day]; 6 = [>3 times per day].
To visualise group differences, geometric mean calculations were performed to express power density values of patients as a percentage of controls, a method previously used in nonbrain injured samples [ 46– 46].
The pre-publication history for this paper can be accessed here: aIncluding 4 cases of CRC b Minimum score = 2 and maximum score = 12 cThe mean calculations are based on data categorised as 1 = [Never]; 2 = [1 3 times/month]; 3 = [1 3 times/week]; 4 = [4 6 times/week]; 5 = [1 2 times/day]; 6 = [≥3 times per day].
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