Filter Design for Generalized Frequency-Division Multiplexing

• Published in: IEEE transactions on signal processing Vol. 65; no. 7; pp. 1644 - 1659
• Main Authors: Seungyul Han, Youngchul Sung, Lee, Yong H.
• Format: Journal Article
• Language: English
• Published: IEEE 01.04.2017
• Subjects: 5G mobile communication; dirichlet filter; Discrete Fourier transforms; filter design; Frequency division multiplexing; Generalized frequency-division multiplexing; Information filtering; Interference; OFDM; Receivers; single-carrier frequency-division multiplexing; waveform design
• ISSN: 1053-587X; 1941-0476
• DOI: 10.1109/TSP.2016.2641382

In this paper, optimal filter design for generalized frequency-division multiplexing (GFDM) is considered under two design criteria: rate maximization and out-of-band (OOB) emission minimization. First, the problem of GFDM filter optimization for rate maximization is formulated by expressing the transmission rate of GFDM as a function of GFDM filter coefficients. It is shown that Dirichlet filters are rate-optimal in additive white Gaussian noise channels with no carrier frequency offset (CFO) under linear zero-forcing (ZF) or minimum mean-square error (MMSE) receivers, but in general channels perturbed by CFO a properly designed nontrivial GFDM filter can yield better performance than Dirichlet filters by adjusting the subcarrier waveform to cope with the channel-induced CFO. Next, the problem of GFDM filter design for OOB emission minimization is formulated by expressing the power spectral density of the GFDM transmit signal as a function of GFDM filter coefficients, and it is shown that the OOB emission can be reduced significantly by designing the GFDM filter properly and there is a tradeoff between the transmission rate and OOB radiation for GFDM with linear receivers. Finally, joint design of GFDM filter and window for the two design criteria is considered.