  A generalisation of the Shannon complex wavelet is introduced, which is
related to raised cosine filters. This approach is used to derive a new family
of orthogonal complex wavelets based on the Nyquist criterion for Intersymbolic
Interference (ISI) elimination. An orthogonal Multiresolution Analysis (MRA) is
presented, showing that the roll-off parameter should be kept below 1/3. The
pass-band behaviour of the Wavelet Fourier spectrum is examined. The left and
right roll-off regions are asymmetric; nevertheless the Q-constant analysis
philosophy is maintained. Finally, a generalisation of the (square root) raised
cosine wavelets is proposed.

Classical Analysis and ODEs