SIR Analysis of OFDM and GFDM Waveforms With Timing Offset, CFO, and Phase Noise

Byungju Lim, Young Chai Ko

Research output: Contribution to journalArticlepeer-review

59 Citations (Scopus)


In this paper, we analyze the impacts of timing offset (TO), carrier frequency offset (CFO), and phase noise in orthogonal frequency division multiplexing (OFDM) and generalized frequency division multiplexing (GFDM) waveforms. As TO can be classified into four cases depending on the direction of offset, we provide the analysis of signal-to-interference ratio (SIR) for each of the cases when phase noise and synchronization errors of the desired user occur in frequency selective channel. We also propose the receiver filter for GFDM systems that is optimized to maximize SIR with CFO in additive white Gaussian noise channel. Simulation results show that GFDM is more sensitive to CFO than OFDM. We also confirm that GFDM systems using proposed receiver filter are robust against CFO compared with conventional systems.

Original languageEnglish
Article number8014504
Pages (from-to)6979-6990
Number of pages12
JournalIEEE Transactions on Wireless Communications
Issue number10
Publication statusPublished - 2017 Oct

Bibliographical note

Funding Information:
Manuscript received December 1, 2016; revised April 3, 2017 and June 6, 2017; accepted August 1, 2017. Date of publication August 22, 2017; date of current version October 9, 2017. This work was supported by Institute for Information & communications Technology Promotion (IITP) grant funded by the Korean Government (MSIT) under Grant 2015-0-00300, Multiple Access Technique with Ultra-Low Latency and High Efficiency for Tactile Internet Services in IoT Environments. The associate editor coordinating the review of this paper and approving it for publication was D. Lopez-Perez. (Corresponding author: Young-Chai Ko.) The authors are with the School of Electrical Engineering, Korea University, Seoul 02841, South Korea (e-mail:;

Publisher Copyright:
© 2017 IEEE.


  • GFDM
  • OFDM
  • SIR
  • Synchronization
  • carrier frequency offset
  • filter design
  • phase noise
  • timing offset

ASJC Scopus subject areas

  • Computer Science Applications
  • Electrical and Electronic Engineering
  • Applied Mathematics


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