Nearly Symmetric Orthogonal Wavelets with Non-Integer
        DC Group Delay

        Ivan W. Selesnick, Jan E. Odegard and C. Sidney Burrus
        Department of Electrical and Computer Engineering - MS 366 
        Rice University, 6100 Main St., Houston, TX 77005-1892, USA 
        selesi@ece.rice.edu, odegard@ece.rice.edu, csb@ece.rice.edu 

        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 w=0 (equivalent to appropriate moment conditions), 
	near symmetry is achieved.  Groebner 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 w=0 is irrational -- and for a length 10 orthogonal wavelet 
	with three vanishing moments, the solution is presented.