International Scholarly Research Notices

Research Article

Detector Design and Complexity Analysis for Cooperative Communications in Intersymbol Interference Fading Channels

Table 2

State definition ( 𝑥 [ 0 ] under estimation).
Related time instant State definition
0 [ 𝑥 [ 0 ] ]
𝐾 [ 𝑥 [ 𝐾 ] , 𝑥 [ 0 ] ]
𝐿 − 1 [ 𝑥 [ 𝐿 − 1 ] , 𝑥 [ 𝐾 ] ]
2 𝐾 [ 𝑥 [ 2 𝐾 ] , 𝑥 [ 𝐿 − 1 ] , 𝑥 [ 𝐾 ] ]
𝐾 + 𝐿 − 1 [ 𝑥 [ 𝐾 + 𝐿 − 1 ] , 𝑥 [ 2 𝐾 ] , 𝑥 [ 𝐿 − 1 ] ]
2 𝐿 − 2 [ 𝑥 [ 2 𝐿 − 2 ] , 𝑥 [ 𝐿 − 1 + 𝐾 ] , 𝑥 [ 2 𝐾 ] ]
3 𝐾 [ 𝑥 [ 2 𝐿 − 2 ] , 𝑥 [ 𝐿 − 1 + 𝐾 ] , 𝑥 [ 2 𝐾 ] ]
2 𝐾 + 𝐿 − 1 [ 𝑥 [ 2 𝐿 − 2 ] , 𝑥 [ 𝐿 − 1 + 𝐾 ] , 𝑥 [ 2 𝐾 ] ]
𝐾 + 2 𝐿 − 2 [ 𝑥 [ 2 𝐿 − 2 ] , 𝑥 [ 𝐿 − 1 + 𝐾 ] , 𝑥 [ 2 𝐾 ] ]