Table 1 A lookup table for base-9 scheme.

From: Leveraging the orthogonality of Zernike modes for robust free-space optical communication

Digits

0

1

2

3

4

5

6

7

8

\({\phi }_{{\mathrm{RM{S}}}_{1}}\)

0

0

0

0.5

0.5

0.5

−0.5

−0.5

−0.5

\({\phi }_{{\mathrm{RM{S}}}_{2}}\)

0

0.5

−0.5

0

0.5

−0.5

0

0.5

−0.5

  1. An example of lookup table to map the digits of base-9 number system with the linear combinations \({\phi }_{{\mathrm{RM{S}}}_{1}}{Z}_{6}+{\phi }_{{\mathrm{RM{S}}}_{2}}{Z}_{11}\).
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