Accurate Computation of Forward/Inverse Continuous Wavelet Transform
新 増田, Arata MASUDA · Institutional Repositories DataBase (IRDB) · 2003
This brief note describes some problems we would face in calculating continuous wavelet transform （CWT）and its inverse （ICWT）, and how we can overcome those difficulties. Especially, the reconstruction error due to the parameter truncation is discussed, and a calculation method using two special functions named scaling function and residual wavelet is proposed. Also, other issues that may affect the accuracy of the calculation are briefly discussed with some tips, which might be able to help ones who try to implement the CWT/ICWT very accurately. The overall effect of those techniques results in sufficiently small reconstruction error less than one percent.