By expanding the pilot-dependent vector (17).
where and hold the data-dependent and pilot-dependent components in, respectively.
where the matrix, the column -vectors and hold the data-dependent and pilot-dependent components in, respectively, and is the resulting noise vector.
that clearly shows that the pilot-dependent samples are limited to the sets of samples (with elements), where the corresponding phase-shifted CIRs have energy.
Assuming that the CFO is completely eliminated, the output of the initial operation of the CFO algorithm is made up of the pilot-dependent component and noise.
As the clustering algorithm in Pipeline Pilot is dependent upon a seed compound, five different seeds were chosen for each descriptor and dataset combination (i.e. there were five different sets of clusters for each descriptor of each dataset giving a total of 25 different sets of clusters for each descriptor).
Its agreements with its pilots are dependent on other workers also offering concessions.
To determine optimal experimental conditions, a pilot dose-dependent titration experiment was performed exposing Pods to Cur concentrations ranging from 1-100 μM.
where the matrix S ⌣ r = D r + P d, r + P c, r + E limiter, r is built from the oversampled user data symbols, data dependent pilot sequence, known cyclic pilot sequence and the additional error generated by the symbol level limiter (only with LDDST), respectively.
The symbol sequence including user data symbols, data dependent pilot sequence and the cyclic pilot sequence is given as s = d + p d + p c = z + p c, where the cyclic pilot sequence is defined as p c = 1 N c × 1 ⊗ p. For a more detailed explanation on DDST, see for example [9] and references therein.
which corresponds to the worst case peak amplitude with the data dependent pilot sequence and its value depends on the used constellation and the pilot power allocation factor γ. The worst case symbol level PP is defined for an aligned pilot p c (k) which has amplitude γ.
