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This result relies on data only apart from technical realization of signal acquisition and implementation of identification algorithm, so it is called in the paper optimal abstract design.
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Equivalently, all higher-order odd terms in in Eq. (37) vanish due to the Gaussian nature of the signal (except for the correction term due to realizations of signal and individual noise that lead to ).
Applying mathematical expectation with respect to independent realizations of signals and noise, the SINR for th user is (5).
where x(n) is a realization of the signal defined by Equation (29) and x ^ ( n ) represents a recovered signal.
Referring to realization of control signal shaping system by digital devices, this approach is more convenient one.
The time domain waveform for a single realization of this signal is shown in Figure 4a.
a A fixed realization of the signal (blue) and three realizations (different common noise realizations) of the output of the STS population for and (black, green, and red).
For vanishing independent noise, the individual spike trains of the population are identical for a fixed realization of the signal and the common noise.
However, the models in the present paper are designed such that the single spike trains have a prescribed time-dependent firing rate, which still depends on the realization of the signal s and the individual noise η.
For a homogeneous Poisson spike train that is transformed according to Eq. (16) with, the average over the spike train for a fixed realization of the signal and the independent noise reads [36].
Yet, despite spectroscopic realization of a signal-to-noise ratio >300 for the LM1 Zeeman signal, no clear hf structure could be resolved.
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