Skip to main content

Table 4 State transitions for the two user case: coded transmission

From: Coded unicast downstream traffic in a wireless network: analysis and WiFi implementation

State transition matrix P π ̄

Reward vector R π ̄

1 2 [ ( 1 p a ) + ( 1 p b ) ] 1 2 p a ( 1 p b ) 1 2 ( 1 p a ) p b 0 + p a p b 1 2 ( 1 p a ) 1 2 p a + 1 2 [ ( 1 p b ) 0 1 2 ( 1 p a ) p b + p a p b ] 1 2 ( 1 p b ) 0 1 2 [ ( 1 p a ) + p a p b ] + 1 2 p b 1 2 p a ( 1 p b ) ( 1 p a ) ( 1 p b ) p a ( 1 p b ) ( 1 p a ) p b p a p b

1 2 ( 2 p a p b ) 1 2 ( 2 p a p b ) 1 2 ( 2 p a p b ) 2 p a p b