|Title||Nearly Symmetric Orthogonal Wavelets with Non-Integer DC Group Delay|
|Author(s)|| C. Sidney Burrus, Jan E. Odegard, Ivan W. Selesnick|
|Type||Article in Conference Proceedings|
|Abstract||This paper investigates the design of Coiflet-like nearly symmetric compactly supported orthogonal wavelets. The group delay is used as the main vehicle by which near symmetry is achieved. By requiring a specified degree of flatness of the group delay at ! = 0 (equivalent to appropriate moment conditions), near symmetry is achieved. Grobner bases are used to obtain the solutions to the defining nonlinear equations. It is found|
that the DC group delay that maximizes the group delay flatness at ! = 0 is irrational - and for a length 10 orthogonal wavelet with three vanishing moments, the solution is presented.