Fast DGT Based Receivers for GFDM in Broadband Channels

Generalized frequency division multiplexing (GFDM) is a recent multicarrier 5G waveform candidate with flexibility of pulse shaping filters. However, the flexibility of choosing a pulse shaping filter may result in inter carrier interference (ICI) and inter symbol interference (ISI), which becomes more severe in a broadband channel. In order to eliminate the ISI and ICI, based on discrete Gabor transform (DGT), in this paper, a transmit GFDM signal is first treated as an inverse DGT (IDGT), and then a frequency-domain DGT is formulated to recover (as a receiver) the GFDM signal. Furthermore, to reduce the complexity, a suboptimal frequency-domain DGT called local DGT (LDGT) is developed. Some analyses are also given for the proposed DGT based receivers.Comment: 28 pages, 8 figure

Reduced Complexity Calculation of LMMSE Filter Coefficients for GFDM

A low-complexity algorithm for calculation of the LMMSE filter coefficients for GFDM in a block-fading multipath environment is derived in this letter. The simplification is based on the block circularity of the involved matrices. The proposal reduces complexity from cubic to squared order. The proposed approach can be generalized to other waveforms with circular pulse shaping.Comment: Submitted to IEEE Electronics Letter

Iterative Demodulation and Decoding for LDPC Coded Generalized Frequency Division Multiplexing

Currently, there is a standardization process underway to design the fifth generation of wireless systems or 5G wireless systems. The ambitious targets set forth for 5G wireless systems call for novel approaches in all layers of the network. At the physical layer (PHY), Orthogonal Frequency Division Multiplexing (OFDM) has become a de facto standard for wireless systems such as 4G cellular and IEEE 802.11 (Wi-Fi) systems. However, the large peak to average power ratio of OFDM signals makes OFDM an unattractive candidate for some services envisioned in 5G systems, particularly in the uplink. Recently, Generalized Frequency Division Multiplexing (GFDM), which is a member of the non-orthogonal multiple access technologies has been proposed as the modulation scheme for 5G wireless systems. GFDM has some advantages over OFDM, such as looser requirements on synchronization, a lower PAPR requirement,as well as a lower out-of-band spectral leakage. However, in GFDM the sub-channels are not orthogonal which results in inter-carrier interference and, hence, an increased uncoded bit error rate. While iterative receivers have been proposed for improving the bit error rate performance of uncoded GFDM, there are very few works that have studied the performance of coded GFDM systems. In this thesis, we investigate the performance of coded systems with GFDM. Using earlier results on soft interference cancellation based turbo equalization and turbo multi-user detection, we design an iterative receiver for GFDM with low density parity check codes. We show that the receiver is able to successfully combat the non-orthogonality of sub-channels in GFDM and provide performance similar to that of coded OFDM systems at an increased receiver complexity