The pairs, x , n t and x ̂ , n ̂ t , come from the set of all possible symbol-antenna pairings for all nodes, i.e. they independently take values from the set of all possible spatial and signal constellation points, Ω.
An important task is to select an appropriate relay from the set of all possible relay candidates to forward messages to the destination[24].
This new modeling technique facilitates the investigation of some of the important characteristics of the problem; this results in a number of propositions to rule out a large number of infeasible solutions from the set of all possible permutations.
A brute-force solution is then to determine the set of all possible transmit vectors in the reduced constellation, starting from the set of all possible transmit vectors in the original constellation and by switching to the reduced domain, thanks to the T −1 matrix.
Since P ( O | λ ) = Σ a l l q P ( O, q | λ ), where q is one sequence of states from the set of all possible state sequences corresponding to the walk we want to generate, the problem can be approximated by: O * ≃ arg max O ( max q P ( O | q, λ ) P ( q | λ ) ). (8).
Specifically, the vector x n t ∈ C N sub × 1 in Equation (1) comprises the precoded data symbols x d, n t ∈ C N d × 1 and the pilot symbols x p, n t ∈ P N p × 1 from the set of all possible pilot symbols P defined in LTE, at the ntth transmit antenna placed by a suitable permutation matrix P x n t = P x p, n t T x d, n t T T. (2).
Let 𝒞 k be the set of all possible combinations of k elements from 𝒮.
From the resulting set of all possible probes, a subset was chosen by setting the selection parameters in OligoWiz 2.0 (see Tables S2 and S3).
Players engaged in an infinitely repeated game constantly update probability distributions defined over the set of possible strategies played by their opponents, where a strategy is a function from the set of possible histories to the set of possible actions.
A total number of 922 evaluations of videos taken randomly from the set of 46 possible videos were performed.
The most informative manoeuvre from the set of possible choices is then selected using the concept of maximum entropy sampling.
