G. Gripenberg, ON THE CONJUGATE QUADRATURE FILTERS THAT DO NOT GENERATE ORTHONORMAL WAVELETS, IEEE transactions on signal processing, 43(8), 1995, pp. 2005-2007
It is shown that the conjugate quadrature filters that fail to generat
e an orthonormal multiresolution are symmetrical if their length is at
most 6 and have at most N - 2 vanishing moments if their length is 2N
greater than or equal to 6.