Inverse Real Wavelet Transform
sig = iRWT(rwt,scale);
matrix n by nscale, output from RWT.m
real signal, complementary part, output from RWTscale.m
1-d real signal.
Reconstruct original signal from Continuous Wavelet Transform
We did not really calculate the scaling function. In fact, scale is a record of residual in Frequency Domain. Why not use scaling function,
1. complicated to implement;
2. differ with various window, what's the difference in tracing a residual in Frequency domain than in space expanded by scaling function.
Algorithm
The result is PSEUDO Inverse Real Wavelet Transform.
Mallat, "A Wavelet Tour of Signal Processing"; 4.3.1 Real Wavelets.