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For the following, let us denote by the vector containing the sample indexes of the analysis frame centers.
where 0≤n≤N s and −F c ≤c≤F c are time and frequency sample indexes used to identify the symbol position in OFDM transmission frame.
The voiced/unvoiced segmentation was based on the TIMIT label files which contain the phoneme labels and boundaries (given as sample indexes) for each sentence.
The following steps can be used to form the 3D image,, where a and b are the sample indexes along the - and y-axes, corresponding to the collected data set Calculate the 3D FFT of.
In the majority of the E-CSAR scenarios, is defined over an discrete space, where L is the number of time samples, N is the total scan locations in the circular scan pattern defined in the -plane, M is the total number of scan planes along the -axis, and l, n, and m denote the sample indexes along,, and scan trajectories in that order.
The four functions (shown in Additional file 1: Figure S12) have centers approximately around sample indexes 0, 5, 10 and 15, respectively.
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Next, we need to convert (3) from general sample format into discrete time format; to translate sample indices into discrete time values we use, where is sampling interval, which is an inverse of D/A converter's sampling rate.
l is the sample index.
where k is the sample index.
Target is located around 4155 sample index.
where the sample index is also omitted from the expression.
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