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research article

Tight Weyl-Heisenberg frames in l2(Z)

Cvetkovic, Zoran
•
Vetterli, Martin  
1998
IEEE Transactions on Signal Processing

Tight Weyl–Heisenberg frames in l^2 (Z ) are the tool for short-time Fourier analysis in discrete time. They are closely related to paraunitary modulated filter banks and are studied here using techniques of the filter bank theory. Good resolution of short-time Fourier analysis in the joint time–frequency plane is not attainable unless some redundancy is introduced. That is the reason for considering overcomplete Weyl–Heisenberg expansions. The main result of this correspondence is a complete parameterization of finite length tight Weyl–Heisenberg frames in l^2(Z) with arbitrary rational oversampling ratios. This parame- terization follows from a factorization of polyphase matrices of paraunitary modulated filter banks, which is introduced first.

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Type
research article
DOI
10.1109/78.668789
Author(s)
Cvetkovic, Zoran
Vetterli, Martin  
Date Issued

1998

Published in
IEEE Transactions on Signal Processing
Volume

46

Issue

5

Start page

1256

End page

1259

Editorial or Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
LCAV  
Available on Infoscience
April 18, 2005
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/212805
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