This paper investigates the throughput performance of IEEE 802.11 Distributed Coordination Function (DCF) at the Medium Access Control (MAC) layer with Hoyt, Rice and Nakagami-m fading environments. The approach considered includes the signal capture model with incoherent addition of interfering signals and uniform attenuation for all terminals (or perfect power control). For the Hoyt and Rice fading channels, the results presented also cover the case of coherent addition of interfering signals. Furthermore, for the Nakagami-m fading channel, the case of unequal average power levels is also studied. For the sake of comparison, results for the carrier sense multiple access with collision avoidance (CSMA/CA) are also presented. The formulations derived here are exact and unprecedented in the literature. Some of these formulations are given in infinite series form whereas several of them are presented in closed-form expressions. For the series-based ones, only a few terms are required in order to achieve high accuracy results.12522612271