Sentence examples for symbol distributions from inspiring English sources

This is expected since the symbol distributions are less isotropic, captured by the covariance of each cluster.

Finally, we derive closed form approximations of the statistical symbol distributions on individual subcarriers as well as the redundant energy distribution and compare them with numerically found results.

Statistically, both sequences had similar symbol distributions (Fig. 4A) with Shannon entropy H(A) = 3.90 bits for the amino acid alphabet A, and H(A*) = 3.76 bits for structural code words in A*.

Finally, multiplication with the prior symbol distribution yields (27).

A simple method to estimate the symbol distribution is to use known pilot symbols inserted in the transmitted frame.

that is, select the allocation that minimizes the maximum Euclidean distance to the data symbols (worst symbol) in the preestimated symbol distribution.

Intuitively, the two parts of input policy, namely, sensing probability and sub-channel symbol distribution (in (mathcal {X})), can be optimized independently.

Obviously, the sub-channel explicit symbol distribution should be optimized in the same way as in traditional memoryless sub-channels, independently of the optimization of sensing probabilities.

We denote by θ n (t) the input symbol distribution over (mathcal {X}^{M}) when the transmitter decides to transmit over sub-channel n.

where E K means the expectation over the randomness of set K and H K) is the entropy of random set K. Again, we see that the sub-channel symbol distribution should be optimized independently of the sensing probability.

The figure also shows the information content for each position, as well as the IUPAC symbol that best captures the symbol distribution in each position.