Table 3.

Configurations which satisfy $H^{T}H=\frac{n}{3}I$ for n = 5.

	Configuration Diagram	Measurement Matrix
1		$H=\left[\begin{array}{ccc}1/\sqrt{3}& 1/\sqrt{3}& 1/\sqrt{3}\\ -0.3707& 0.7275& 1/\sqrt{3}\\ -0.8064& -0.1277& 1/\sqrt{3}\\ -0.1277& -0.8064& 1/\sqrt{3}\\ 0.7275& -0.3707& 1/\sqrt{3}\end{array}\right]$
2		$H=\left[\begin{array}{ccc}0& 0& 1\\ \sqrt{\frac{5}{12}}& \sqrt{\frac{5}{12}}& \frac{1}{\sqrt{6}}\\ -\sqrt{\frac{5}{12}}& \sqrt{\frac{5}{12}}& \frac{1}{\sqrt{6}}\\ -\sqrt{\frac{5}{12}}& -\sqrt{\frac{5}{12}}& \frac{1}{\sqrt{6}}\\ \sqrt{\frac{5}{12}}& -\sqrt{\frac{5}{12}}& \frac{1}{\sqrt{6}}\end{array}\right]$
3		$H=\left[\begin{array}{ccc}1& 0& 0\\ 0& 1& 0\\ 0.4714& 0.4714& 0.7454\\ -0.6440& 0.1725& 0.7454\\ 0.1725& -0.6440& 0.7454\end{array}\right]$