Non-constant Q multi-resolution transforms: Properties, applications, and fast algorithm
The constant-Q based "ravelet transform is the most effective means of quantitatively characterizing high frequency transient signals. This study develops a no-vel non constant-Q based multi-resolution transform (NCQM) and provides a precision analysis descriptor for both low and high frequency transients. The properties of this novel NCQM kernel are thoroughly examined and then the striking conceptual resemblance, energy conservation characteristic, and power spectrum close forms are derived. The rapid algorithm of NCQM is also presented and its excellent performance in noisy environments is demonstrated.
non-constant q multi-resolution transformation time-frequency representation wavelet transform linear transformation