413x0g2 - CCSDS

CCSDS REPORT CONCERNING BANDWIDTH-EFFICIENT MODULATIONS(iii) Equation for 2.5 bits/channel-symbol efficiency⎡Z⎢⎢Z⎢Z⎢⎢⎣Z(0)(1)(2)(3)⎤ ⎡⎥ ⎢⎥ ⎢⎥=⎢⎥ ⎢⎥⎦⎢⎣⎛1⎞⎜ ⎟(9)(5)(1)(10) (7) (3) ⎜1⎟⎜ x ⎟ ⎜ x ⎟ ⎜ x ⎟( 4x + 2x + x ) + 4+ 2+⎥mod 8⎜1⎟⎜ ⎟1⎝ ⎠⎛⎜⎜⎜⎝ x(9)x+ x0(8)(8)+ x(6)⎞⎟⎟⎟⎠⎛⎜⎜⎜⎝ x(5)x+ x0(4)(4)+ x(2)⎞⎟⎟⎟⎠⎛⎜⎜⎜⎝ x(1)x0(0)+ x(0)⎞⎤⎟⎥⎟⎥⎟⎥⎠⎥⎦x0x1x2x3x4x5x6x7x8x9x10Z (1) Z (1) Z (1)2 1 002 1 02 1 0+2 1 02 1 0 2 1 0 2 1 0 2 1 0 2 1 0 2 1 0++ +2 1 0 2 1 0 2 1 0Z (0) Z (0) Z (0)2 1 0 Z (1) Z (1) Z (1)Z (2) 2 1 0 Z (2) Z (2)2 1 0Z (3) Z (3) Z (3)2 1 0= line connected to differential coder= line connected to serial-to-parallel converter or convolutional coderFigure 3-36: Constellation Mapper for 2.5 Bits/Channel-SymbolCCSDS 413.0-G-2 Page 3-29 October 2009