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This statement can be proven by applying logarithmic operation at both sides of the objective function of (32), which becomes.
With white Gaussian noise contamination and a sufficiently broad channel bandwidth, and by taking logarithmic operation, (5) can be rewritten as (7).
The methods described by Lee [2], Frost et al. [3], and Kuan et al. [4, 5] are based on multiplicative model and simple logarithmic operation converts the speckle into additive noise.
The logarithmic operation simulates a specific property of the human visual system (HVS), that is, its higher sensitivity to contrast in shadow areas, whose dynamic is expanded by the logarithm, when compared to the contribution of highlights, which is on the contrary compressed.
First, to create the vocalization signal, Gaussian white noise was filtered to have a power spectrum of 1/fα with α = 1.3 (α was increased to the desired value of 1.4 by the logarithmic operation described below).
An implication from this insufficient model that digital logarithmic operation could obtain the same calibration results as the TLA might be unrealistic.
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Figure 9 Time-domain operations for Laplace-domain logarithmic operations.
We tested the fusion results using different combinations (linear and logarithmic operations) of the measures to compute the weight maps.
The complexity of division is much lower than the L exponential or logarithmic operations required by either the mu-law or the l 0 PAPA.
For erasure recovery, we showed how to find the inverse of a matrix using a simple algorithm by exploiting the logarithmic operator of the elements of the Vandermonde matrix and converting the operations to simple modulo- additions.
The computational complexity is then essentially due to the linear-time for-loop and the logarithmic-time operation of removing items from a binary search tree.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com