A time-frequency division multiplexing communications system with hexagonal lattice structure

Seda Senay*, Lutfiye Durak, Luis F. Chaparro

*Corresponding author for this work

Research output: Contribution to journalConference articlepeer-review

4 Citations (Scopus)


In this paper, we propose a time-frequency division multiplexing (TFDM) communications system for multiple users which uses prolate spheroidal wave functions (PSWFs) as the transmission basis. A hexagonal time-frequency lattice provides optimal packing of the data in a fixed time-bandwidth support. We show that when using chirp modulation created by fractional Fourier transform (FrFT) the resulting system is robust to noise. The chirps having an instantaneous frequency with the angle of π/3 with respect to the time sets a hexagonal lattice structure. The reconstruction of the data can be done efficiently by windowing and filtering. We illustrate the performance of the proposed TFDM system in the presence of additive white Gaussian noise by means of simulations.

Original languageEnglish
Pages (from-to)1186-1189
Number of pages4
JournalEuropean Signal Processing Conference
Publication statusPublished - 2009
Externally publishedYes
Event17th European Signal Processing Conference, EUSIPCO 2009 - Glasgow, United Kingdom
Duration: 24 Aug 200928 Aug 2009


  • Fractional Fourier transform
  • Nonuniform sampling
  • Prolate spheroidal wave functions
  • Pulse shaping
  • Time-frequency division multiplexing


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