The main goal of the presented work is to study the possibilities of the GFDM system (Generalized Frequency Division Multiplexing). For achieving this purpose, a matrix model is presented which represents the signals generated in the GFDM system, similar to the signal model of the OFDM (Orthogonal Frequency Division Multiplexing) system. This model allows the obtainment analytical expressions for the Spectral Power Density (DEP) of the signals and their comparison with the DEP of the signals transmitted in OFDM systems. Furthermore, we study the performance of different types of classical linear equalizers/detectors that can be used in the digital communications systems, such as Zero Forcing, Minimum Mean Square Error and Matched Filter. In addition, we propose and analyze the performance resulting from the application of PIC (Parallel Interference Cancellation) interference suppression techniques together with the linear detectors mentioned and LAS (Likelihood Ascent Search) detectors preceded by Matched Filter (MF-LAS) equalizers. The number of PIC stages performed at each detection is controlled by a stop strategy based on the distance metric. Different MF-LAS detection schemes together with PIC are also proposed and examined. Finally, the channel estimation is performing based on the matrix model developed in this work and using orthogonal pilots symbols. The differents strategies of detection examined for GFDM systems are compared in terms of BER performance (Bit Error Rate) and the computational complexity associated with the respective detectors. Comparisons between GFDM and OFDM systems based on criterions as the complexity of the signal generation, spectral efficiency and performance are also included in this dissertation.