Low Complexity GFDM Receiver Based on Sparse Frequency Domain Processing

System level 5G evaluation of GFDM waveforms in an LTE-A platform

“…Possible filters include the Raised Cosine (RC) filter, the Root Raised Cosine Filter (RRC) and the Dirichlet filter. The flexibility of the GFDM system stems from the use of non-orthogonal filters, as well as orthogonal filters [8]. As discussed in [1], the OOB radiation in the case of GFDM is around 15dB lower than OFDM.…”

“…This length represents a problem due to its impact on the CP length, as shown mathematically in (1), where , , & denote the length of the CP, channel, transmit and receive filters respectively. This equation is necessary when effective FFT-based block equalisation is applied [8].…”

Frame design for 5G multicarrier modulations

“…As a result, in the 5G context new waveforms are foreseen in order to cope with these problems: in particular Generalized Frequency Division Multiplexing (GFDM) [6] [7] and Filter Bank Multicarrier (FBMC) modulations [8] [9] are two of the main candidates techniques for the upcoming 5G standard.…”

“…On the other hand, with respect to both the OFDM and the FBMC where only K symbols are processed, in GFDM technique the data source provides a binary data vector block of KM symbols that are processed simultaneously. Thus, in this case a k,m is the symbol associated to the k-th subcarrier at the m-th timeslot [6] [7]. Moreover, in the GFDM each a k,m is transmitted with the corresponding non-rectangular shaping filter as in the following [6] …”

“…is a time and frequency shifted version of a prototype filter g T , where the modulo operation makes g T k,m [n] a circularly shifted version of g T k,0 [n], and the complex exponential performs the shifting operation in frequency [6] [7]. In all of these multicarriers modulation techniques, as shown in [14] [19] [20], the relation between the tranmitted and the received signals can be expressed as…”