Arbitrary tilings of the time-frequency plane using local bases

Riccardo Bernardini, Jelena Kovačević

Research output: Contribution to journalArticlepeer-review


We show how to design filters given a prescribed tiling of the time-frequency plane. Moreover, we impose on these filters the structure of local orthogonal bases. These bases were recently constructed as a generalization of the cosine-modulated filter banks in discrete time and local trigonometric bases in continuous time. They have been found to be of considerable practical importance due to their simplicity (all filters are obtained from a single prototype) and low computational complexity. We show examples of design, in particular, that of a critical-band system for use in audio coding.

Original languageEnglish (US)
Pages (from-to)2293-2304
Number of pages12
JournalIEEE Transactions on Signal Processing
Issue number8
StatePublished - Aug 1999

ASJC Scopus subject areas

  • Signal Processing
  • Electrical and Electronic Engineering


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