... In addition to time, frequency, and scale, there are two other coordinate axes within this transform space: shear-in-time (obtained through convolution with a q-chirp) and shear-in-frequency (obtained through multiplication by a q-chirp). Signals in this multidimensional space can be obtained by a new transform which we call the ``q-chirplet transform'', or simply the ``chirplet transform''. ... CHIRPLET TRANSFORM SUBSPACES . ... Relationship Between Auto Chirplet FF Plane and Radon Transform . ...