S.-W. Park and G. Godinez (USA)
FIR filter design, subband coding,wavelet transform.
The differences between the orthogonal and
symmetric biorthogonal wavelet filters are described and
design of near-orthogonal symmetric wavelet filters using
windows is presented. Symmetric wavelet filters have
advantage over orthogonal wavelet filters: it does not
result in coefficient expansion when symmetric extension
is used. Symmetric extension is preferred to periodic
extension, as the former does not introduce discontinuity
that makes highpass filter output coefficients unduly
large. It is shown that the near-orthogonal filter performs
as good as the popular biorthogonal wavelet filter that
gives linear phase in the case of random signals. Because
the new filter is very close to orthogonal, it has advantage
over biorthogonal filters: energy preserving.