Spectrum Efficient, Localized, Orthogonal Waveforms: Closing the Gap With the Balian-Low Theorem

@article{Korevaar2016SpectrumEL,
  title={Spectrum Efficient, Localized, Orthogonal Waveforms: Closing the Gap With the Balian-Low Theorem},
  author={C. Willem Korevaar and Andr{\'e} B. J. Kokkeler and Pieter-Tjerk de Boer and Gerard J. M. Smit},
  journal={IEEE Transactions on Communications},
  year={2016},
  volume={64},
  pages={2155-2165}
}
The Balian-Low theorem (BLT) states the fundamental impossibility to design waveforms for L2(ℝ), which 1) form an orthogonal set, 2) are time-frequency localized, and 3) attain a critical waveform density such that they form an orthogonal basis. This article closes the gap between existing waveform designs and the BLT. The main contribution is the design of… CONTINUE READING