Skip to main content

Table 3 GLPSM coding coefficients for NT = 8

From: Multiple transmit antennas for low PAPR spatial modulation in SC-FDMA: single vs. multiple streams

 

t = 1

t = 2

t = 3

t = 4

t = 5

t = 6

t = 7

t = 8

p = 0

\( \sqrt{\frac{1}{8}} \)

\( \sqrt{\frac{1}{8}} \)

\( \sqrt{\frac{1}{8}} \)

\( \sqrt{\frac{1}{8}} \)

\( \sqrt{\frac{1}{8}} \)

\( \sqrt{\frac{1}{8}} \)

\( \sqrt{\frac{1}{8}} \)

\( \sqrt{\frac{1}{8}} \)

p = 1

\( \sqrt{\frac{1}{8}} \)

\( \sqrt{\frac{1}{8}}{e}^{j\frac{\uppi}{4}} \)

\( \sqrt{\frac{1}{8}}{e}^{j\frac{\uppi}{2}} \)

\( \sqrt{\frac{1}{8}}{e}^{j\frac{3\uppi}{4}} \)

\( -\sqrt{\frac{1}{8}} \)

\( \sqrt{\frac{1}{8}}{e}^{j\frac{5\uppi}{4}} \)

\( \sqrt{\frac{1}{8}}{e}^{j\frac{3\uppi}{2}} \)

\( \sqrt{\frac{1}{8}}{e}^{j\frac{7\uppi}{4}} \)

p = 2

\( \sqrt{\frac{1}{8}} \)

\( \sqrt{\frac{1}{8}}{e}^{j\frac{\uppi}{2}} \)

\( -\sqrt{\frac{1}{8}} \)

\( \sqrt{\frac{1}{8}}{e}^{j\frac{3\uppi}{2}} \)

\( \sqrt{\frac{1}{8}} \)

\( \sqrt{\frac{1}{8}}{e}^{j\frac{\uppi}{2}} \)

\( -\sqrt{\frac{1}{8}} \)

\( \sqrt{\frac{1}{8}}{e}^{j\frac{3\uppi}{2}} \)

p = 3

\( \sqrt{\frac{1}{8}} \)

\( \sqrt{\frac{1}{8}}{e}^{j\frac{3\uppi}{4}} \)

\( \sqrt{\frac{1}{8}}{e}^{j\frac{3\uppi}{2}} \)

\( \sqrt{\frac{1}{8}}{e}^{j\frac{\uppi}{4}} \)

\( -\sqrt{\frac{1}{8}} \)

\( \sqrt{\frac{1}{8}}{e}^{j\frac{7\uppi}{4}} \)

\( \sqrt{\frac{1}{8}}{e}^{j\frac{\uppi}{2}} \)

\( \sqrt{\frac{1}{8}}{e}^{j\frac{5\uppi}{4}} \)

p = 4

\( \sqrt{\frac{1}{8}} \)

\( -\sqrt{\frac{1}{8}} \)

\( \sqrt{\frac{1}{8}} \)

\( -\sqrt{\frac{1}{8}} \)

\( \sqrt{\frac{1}{8}} \)

\( -\sqrt{\frac{1}{8}} \)

\( \sqrt{\frac{1}{8}} \)

\( -\sqrt{\frac{1}{8}} \)

p = 5

\( \sqrt{\frac{1}{8}} \)

\( \sqrt{\frac{1}{8}}{e}^{j\frac{5\uppi}{4}} \)

\( \sqrt{\frac{1}{8}}{e}^{j\frac{\uppi}{2}} \)

\( \sqrt{\frac{1}{8}}{e}^{j\frac{7\uppi}{4}} \)

\( -\sqrt{\frac{1}{8}} \)

\( \sqrt{\frac{1}{8}}{e}^{j\frac{\uppi}{4}} \)

\( \sqrt{\frac{1}{8}}{e}^{j\frac{3\uppi}{2}} \)

\( \sqrt{\frac{1}{8}}{e}^{j\frac{3\uppi}{4}} \)

p = 6

\( \sqrt{\frac{1}{8}} \)

\( \sqrt{\frac{1}{8}}{e}^{j\frac{3\uppi}{2}} \)

\( -\sqrt{\frac{1}{8}} \)

\( \sqrt{\frac{1}{8}}{e}^{j\frac{\uppi}{2}} \)

\( \sqrt{\frac{1}{8}} \)

\( \sqrt{\frac{1}{8}}{e}^{j\frac{3\uppi}{2}} \)

\( -\sqrt{\frac{1}{8}} \)

\( \sqrt{\frac{1}{8}}{e}^{j\frac{\uppi}{2}} \)

p = 7

\( \sqrt{\frac{1}{8}} \)

\( \sqrt{\frac{1}{8}}{e}^{j\frac{7\uppi}{4}} \)

\( \sqrt{\frac{1}{8}}{e}^{j\frac{3\uppi}{2}} \)

\( \sqrt{\frac{1}{8}}{e}^{j\frac{5\uppi}{4}} \)

\( -\sqrt{\frac{1}{8}} \)

\( \sqrt{\frac{1}{8}}{e}^{j\frac{3\uppi}{4}} \)

\( \sqrt{\frac{1}{8}}{e}^{j\frac{\uppi}{2}} \)

\( \sqrt{\frac{1}{8}}{e}^{j\frac{\uppi}{4}} \)