For optimization of the transmitter path for our system using the computational model, the optimum value for fill-factor, h, of the four confocal microscopy configurations: (1) full-pupil point-scanning, (2) full-pupil line-scanning, (3) divided-pupil point-scanning, and (4) divided-pupil line-scanning are 0.89, 1.02, 0.66, and 0.52 respectively.
For our work, optimization of the coherent-transmitter path is achieved by maximizing the image field irradiance and peak irradiance.
Numerous parameters are available for optimizing the coherent-transmitter path, such as image irradiance and peak irradiance, resolution, contrast and signal to noise ratio.
Because the coherent-transmitter path of the line-scanner results in a larger h in the pupil, the corresponding PSF produces improved transverse resolution.
For the half-pupil and divided-pupil configurations, the coherent-transmitter path is the same, therefore the Fourier-analysis computational model for the coherent-transmitter path was repeated for only the divided-pupil configuration of a point-scanning and line-scanning system.
For the transmitter's figure of merit, we compute the on-axis irradiance along the coherent-transmitter path of a confocal point-scanning or line-scanning microscope in order to optimize the profile of a Gaussian beam in a full-pupil or divided-pupil.
where is the time delay along the transmitter -target-receiver path.
We model a mobile transmitter's path through a vehicular scenario and assess the success in tracking it by measuring the distance between the actual and estimated positions, in addition to the difference between the approximated direction of travel and the real one.
where N t is the number of transmit antennas and N r is the number of receive antennas; α k, j = P j d k, j − ρ k, j χ k, j / N t is a scalar coefficient depending on the total transmit power P j for user j, the log-normal shadow fading χk,jand distance dk,jbetween the k th receiver and the j th transmitter with path loss exponent ρk,j.
In the field, the GasFinder was set to measure CO2 concentrations at a 1-Hz rate (Pedone et al. 2014a), along an optical (transmitter-retroreflector) path positioned at ~1.20 m height above ground level.
Assuming the first-order statistics of selectivity parameters follow a Gaussian distribution, the typical and atypical input files of the model are deduced from the CDFs of first-order statistic values of those parameters evaluated on N moving experimental points composed each of M static experimental measurement along a transmitter-receiver path.
