Tight Weyl-Heisenberg frames in l2(Z)

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.


Published in:
IEEE Transactions on Signal Processing, 46, 5, 1256-1259
Year:
1998
Laboratories:




 Record created 2005-04-18, last modified 2018-03-17

n/a:
Download fulltext
PDF

Rate this document:

Rate this document:
1
2
3
 
(Not yet reviewed)