Arbitrary tilings of the time-frequency plane using local bases

Riccardo Bernardini, Jelena Kovacevic

Research output: Contribution to journalArticle

Abstract

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
Volume47
Issue number8
DOIs
StatePublished - Aug 1 1999

Fingerprint

Filter banks
Computational complexity

ASJC Scopus subject areas

  • Signal Processing
  • Electrical and Electronic Engineering

Cite this

Arbitrary tilings of the time-frequency plane using local bases. / Bernardini, Riccardo; Kovacevic, Jelena.

In: IEEE Transactions on Signal Processing, Vol. 47, No. 8, 01.08.1999, p. 2293-2304.

Research output: Contribution to journalArticle

@article{e8cc5c744aab46079db9f8c9a23ad9f8,
title = "Arbitrary tilings of the time-frequency plane using local bases",
abstract = "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.",
author = "Riccardo Bernardini and Jelena Kovacevic",
year = "1999",
month = "8",
day = "1",
doi = "10.1109/78.774773",
language = "English (US)",
volume = "47",
pages = "2293--2304",
journal = "IEEE Transactions on Signal Processing",
issn = "1053-587X",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
number = "8",

}

TY - JOUR

T1 - Arbitrary tilings of the time-frequency plane using local bases

AU - Bernardini, Riccardo

AU - Kovacevic, Jelena

PY - 1999/8/1

Y1 - 1999/8/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0033171325&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0033171325&partnerID=8YFLogxK

U2 - 10.1109/78.774773

DO - 10.1109/78.774773

M3 - Article

AN - SCOPUS:0033171325

VL - 47

SP - 2293

EP - 2304

JO - IEEE Transactions on Signal Processing

JF - IEEE Transactions on Signal Processing

SN - 1053-587X

IS - 8

ER -