Hence, the total number of elementary operations performed for each unique combination λ g intermediately fixed at the relay and ∀ m κ ∈ A is: begin{array}{c}{varTheta}^1=vartheta nleft(2{k}_1-1right)+vartheta nleft(2{k}_2-1right)+vartheta n =vartheta nleft[2left {k}_1+{k}_23ight)-1right]end{array} (23).
The MPM Bayesian restoration using the whole observable process Y = Y 1 … R is then workable and the number of elementary operations required for its evaluation is linear with the size of the data N (the proof can be found in [14]).
We measure computational complexity of our algorithm by the number of elementary operations (ops) required for the algorithm to run and express it as a function of the problem size K (the total number of subcarriers).
Thus, for S unique combinations intermediately fixed at the relay and ϑ message blocks, the number of elementary operations is: {varTheta}^S=Svartheta nleft[2left {k}_1+{k}_2right)-1right] (24).
The final non-recursive expression Eq. (48) includes a finite number of elementary operations and functions.
It means that the final closed-form expression depends on arbitrary given coefficients and includes a finite number of elementary operations, such as: '+', '−', '×', '÷'; and elementary functions, such as the Heaviside step function (or unit step function) and the floor function for integer division.
Finally, the total number of elementary operations is given as: varTheta =Svartheta left[2nleft {k}_1+{k}_2right)+N-2right] (25).
Then, for ϑ message blocks which result in the codewords of minimum Hamming distance d 1 at the source, the number of elementary operations becomes: {varTheta}_{mathrm{source}}=vartheta nleft(2{k}_1-1right) (2{k.
Substituting the expression (1.7) for in the integral equation (1.18) and using formula (1.20) for after elementary operations, the following integral equations for the kernel are obtained: (1.22).
For this purpose, it is necessary to displace biological liquids and to realize microfluidic elementary operations for the development of Lab-on-chip, LoC.
