The Mellin transforms and constant‐Q spectral analysis

It has been shown recently that constant‐Q spectral analysis constitutes one means for implementing a Fourier‐Mellin transform which is relevant in acoustical signal processing. This letter points out a further connection between constant‐Q spectral analysis and the Mellin transform: The latter is shown to be the basis for inverting the integral transforms representing both the ’’short‐time’’ and the ’’average power spectrum’’ resulting from any constant‐Q spectral analysis.