t transform of a delta function and a sinusoid with your wavelet of choice for time series of the same length as your data.

This helps you to understand what structure is due to the signal and what is due to the wavelet.

To understand what the wavelet transform of noise looks like, take the wavelet transform of your data, but with the time order randomly reshuffled using <tt>randperm</tt>.  Any structure you see here is due entirely to the wavelet!  Compare this with the transform of the original data to 