Relations of FMmlet transform to some integral transforms

In this paper, we explore the relationships between FM-let transform and some of the existing integral transforms, namely, the chirplet transform, dispersion transform, wavelet transform, chirp-Fourier transform, Short-time fourier transform (STFT), Gabor transform, Fourier transform, cosine transform, sine transform, Hartley transform, Laplace transform, z-transform, Mellin transform, Hilbert transform, autocorrelation function, cross-correlation function, energy, and the mean value. It is shown that all of these transforms are subspaces of FMm let transform with specific parameters.