For simple cases, fixed-point math amounts to integer math with scaling by a power of 2. The main VHDL-2008 fixed-point package, fixed_generic_pkg, has formal generic constants so that one can choose the rounding and overflow behaviors that are most appropriate for application.
From (10), it follows that if the power gain matrix is scaled by a factor of and the maximum node transmission power is scaled by a factor of, then the achievable rate region is unchanged, that is, (11).
The numerator of (2) is the signal power scaled by the power of the μ significant taps in c, and the denominator contains the total received signal power.
To account for this, the point-wise-error was scaled by the 1/4 power of the length of the corresponding time-interval, resulting in a higher weight for later time points.
Specifically, one may define a Lie transformation in which the coordinates 'r' and the time t are scaled by different powers of a parameter λ (Figure 9), : t \rightarrow \lambda^{3}t, \qquad \mathbf{r} \rightarrow \lambda^{2}\mathbf{r}, \qquad\mathbf{p} \rightarrow \frac{1}{\lambda}\mathbf{p}~.
Then the remaining received signals are scaled by a real factor to keep the average power of R to be.
In our approach N is not a system size but a parameter for scaling, and species numbers are scaled by powers of N. Though the limiting model for γ=2 is not deterministic, it is still possible to estimate an error analytically due to the fact that Z 1 2 (t ) which produces stochasticity in the limiting model is an exact process equal to Z 1 N, 2 (t ).
We tiled the noise with these wavelets, recursively across six spatial scales, increasing the tiling density by a power of two at each spatial scale (see Figure 1, stimulus generation, which shows the systematic spatial structure of the tiling).
Andreessen: Opsware kept news sites like FoxNews and USA Today running on Sept. 11 [2001] when the number of visits to these sites increased by a power of ten, scaling up the number of servers supporting those sites quickly and automatically.
Here, the correlation values were raised by a power of 12 to satisfy scale-free criteria [ 27].
