  In the present paper, details are given on the implementation of a
wavelet-based analysis tailored to the processing of acoustical signals. The
family of the suitable wavelets (`Reimann wavelets') are obtained in the time
domain from a Fourier transform, extracted in Ref.~\cite{r1} after invoking
theoretical principles and time-frequency localisation constraints. A scheme is
set forth to determine the optimal values of the parameters of this type of
wavelet on the basis of the goodness of the reproduction of a $30$-s audio file
containing harmonic signals corresponding to six successive $A$ notes of the
chromatic musical scale, from $A_2$ to $A_7$. The quality of the reproduction
over about six and a half octaves is investigated. Finally, details are given
on the incorporation of the re-assignment method in the analysis framework, as
the means a) to determine the important contributions of the wavelet transforms
and b) to suppress noise present in the signal.
