In this thesis, study of combining methods for cooperative multi-hop systems. In the Log-normal fading channels, analysis Amplify and Forward (AF) methods for both Channel state Information (CSI) relays, and fixed-gain relays. Investigate Selection Combining (SC) and Maximum Ratio Combining (MRC) and Equal Gain Combining (EGC) use precise of Gauss Quadrature Rule (GQR) and Improved Schwartz-Yeh (I-SY) approximations of methods performance, precise framework can provide accurate values. On the other hand, approximation methods can reduce computation. Compare between GQR and I-SY trade-off.