High order concentrated matrix-exponential distributions

Figures & data

Figure 1. The precision loss while computing the SCV.

Figure 2. The minimal and the heuristic SCV as a function of order n in log-log scale.

Figure 3. The minimal SCV of the exponential cosine-square functions as the function of n in log-log scale.

Figure 4. The function $S(n)=SC{V}_n·n^{2.14}$ with logarithmic y axis.

Figure 5. The ω parameter providing the minimal SCV in lin-lin and log-log scales.

Figure 6. The location of the ${\varphi }_k,k=1,\dots ,n$ parameters providing the minimal SCV.

Figure 7. $f^{+}(t)$ with ω = 1, n = 3, ${\varphi }_i+\pi \in \{0.1,1,2\}$ for $i\in \{1,2,3\}.$

Figure 8. The initial part of ${\prod }_{i=1}^n{\hspace{0.17em}\text{cos}\hspace{0.17em}}^2\left(\frac{\omega t-{\varphi }_i}{2}\right)$ (without exponential attenuation), with ω = 1, n = 3, ${\varphi }_i+\pi \in \{0.1,1,2\}$ for $i\in \{1,2,3\}.$

Figure 9. The spike and the zeros of $f^{+}(t).$

Figure 10. The minimal and the heuristic SCV as a function of order n in log-log scale.