Table 1 Transformed channel signals with five matrices

M ₀

C ₁

C ₂

C ₃

M ₁

C ₁

$\frac{\sqrt{2}}{2}S\text{sin}\theta (\text{cot}\theta +\text{sin}\phi )$

$\frac{\sqrt{2}}{2}S\text{sin}\theta (\text{cot}\theta -\text{sin}\phi )$

M ₂

$\frac{\sqrt{2}}{2}S\text{sin}\theta (\text{cot}\theta +\text{cos}\phi )$

C ₂

$\frac{\sqrt{2}}{2}S\text{sin}\theta (\text{cot}\theta -\text{cos}\phi )$

M ₃

$S\text{sin}\theta \text{sin}(\phi +\frac{\pi }{4})$

$S\text{sin}\theta \text{sin}(\phi -\frac{\pi }{4})$

C ₃

M ₄

$\frac{\sqrt{6}}{3}S\text{sin}\theta (\text{cot}\theta +\text{sin}(\phi +\frac{\pi }{4}\left)\right)$

$S\text{sin}\theta \text{sin}(\phi -\frac{\pi }{4})$

$\frac{\sqrt{6}}{3}S\text{sin}\theta \left(\frac{\sqrt{2}}{2}\text{sin}\right(\phi +\frac{\pi }{4})-\text{cot}\theta )$