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An AR model with order is assumed in all the experiments.
In addition, we define as the th channel tap at the th time instant, where for or, since the maximal channel order is assumed to be.
Different polynomial orders can be considered to generate the outputs, however, applying Lagrange polynomial in Farrow structure when the polynomial order is assumed to be 3 results in the following equation for interpolation's output.
Generally the order is assumed and the prefactor and binding energy are used as fitting parameters.
Without loss of generality, the attribute order is assumed to be { X1,⋯, X4} by comparing mutual information.
Using maximum-likelihood approach in two versions (De Givry et al. 2005): (a) if one assumes that the data from different sets represent a single map, i.e. same order and distances (this situation is referred to as genetic merging); or (b) if the same order is assumed, but recombination rates differ between the mapping populations (this situation is referred to as order merging).
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The performance of the corresponding CP-OFDM system is included, for the sake of the comparison, where a CP of minimum length (equal to the channel order) was assumed.
Three different modes leading to a change in gene order were assumed: (1) tandem duplication random deletion events [ 52], (2) inversions, and (3) transposition of single tRNAs.
In these analyses, changes in gene order were assumed to occur only by inversions, an hypothesis that is strongly supported by previous mapping analyses of chloroplast genes from closely related chlamydomonads [ 27, 28].
The local rearrangement of the martensite structure in the vicinity of lattice defects (pinning of partial dislocations/intervariant boundaries by quenched-in defects and more intense than in the bulk localized re-ordering) is assumed to be responsible for the heterogeneous component of the stabilization process.
First order reaction with dth order deactivation is assumed and the model equations are solved by matched asymptotic expansions for large Peclet number.
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