From: Alternative relaying for cooperative multiple-access channels in wireless vehicular networks
Situation
Transmission mode
Equivalent channel matrix
Situation A0
y 2 L + 1 = H A 0 x 2 L + n 2 L + 1 ⏟ Mode 1
H A 0 = h S 1 0 0 ⋯ 0 α 2 h S 2 α 1 h S 2 0 ⋯ 0 0 α 2 h S 1 α 1 h S 1 ⋯ 0 ⋮ ⋱ ⋱ ⋱ ⋮ 0 ⋯ 0 α 2 h S 2 α 1 h S 2 0 ⋯ 0 0 h S 1 ⏟ ( 2 L + 1 ) × 2 L Matrix
Situation A1
y 4 = H A 1 x 2 + n 4 ⏟ Mode 2
H A 1 = h S 1 0 α 2 h S 2 α 1 h S 2 g 1 , r 1 h S 1 0 g 1 , r 1
Situation A2 event E ¯
y 5 = H A 2 , E ¯ x 2 + n 5 ⏟ Mode 3
H A 2 , E ¯ = h S 1 0 α 2 h S 2 α 1 h S 2 g 1 , r 1 h S 1 g 2 , r 2 g 1 , r 1 0 g 2 , r 2
Situation A2 event E
y 2 L + 3 = H A 2 , E x 2 L + n 2 L + 3 ⏟ Mode 4
H A 2 , E =H, refer to Eqution (3).