The demand for high rate transmission systems, for example in HDTV, third and fourth generation cellular telephony, DSL and so on, causes the rise of a problem: The multipath communications channel (specially in wireless communications), which leads to intersymbol interference phenomenon (ISI). The present work investigates the performance of single-carrier (SC) transmission systems with frequency-domain linear equalization. Different recursive algorithms are presented in order to implement these FIR filters. Besides the linear equalizers, a non- linear structure is introduced, where the past decisions made by the detectors are used to mitigate the effect of ISI on the detection of the forthcoming symbols. This set is known as Decision Feedback Equalizers (DFE). Finally, the results of the aforementioned systems are compared to the well-known OFDM. OFDM transmission relies on sub-carriers, frequency orthogonal to each other, in which the data is sent in a parallel basis. The results obtained show that SC- FDE systems outperform OFDM systems.