Editing Chirplet transform (section)

==Definitions==
The term ''chirplet transform'' was coined by [[Steve Mann (inventor)|Steve Mann]], as the title of the first published paper on chirplets. The term ''chirplet'' itself (apart from chirplet transform) was also used by Steve Mann, Domingo Mihovilovic, and Ronald Bracewell to describe a windowed portion of a [[chirp]] function. In Mann's words:

{{blockquote|A wavelet is a piece of a wave, and a chirplet, similarly, is a piece of a chirp. More precisely, a chirplet is a windowed portion of a chirp function, where the window provides some time localization property.  In terms of time–frequency space, chirplets exist as rotated, sheared, or other structures that move from the traditional parallelism with the time and frequency axes that are typical for waves (Fourier and [[short-time Fourier transform]]s) or [[wavelet]]s.}}

The chirplet transform thus represents a rotated, sheared, or otherwise transformed tiling of the time–frequency plane. Although chirp signals have been known for many years in [[radar]], pulse compression, and the like, the first published reference to the ''chirplet transform'' described specific signal representations based on families of functions related to one another by time–varying frequency modulation or frequency varying time modulation, in addition to time and frequency shifting, and scale changes.<ref name=mann/> In that paper,<ref name=mann/> the [[Gaussian]] chirplet transform was presented as one such example, together with a successful application to ice fragment detection in radar (improving target detection results over previous approaches). The term ''chirplet'' (but not the term ''chirplet transform'') was also proposed for a similar transform, apparently independently, by Mihovilovic and [[Ronald N. Bracewell|Bracewell]] later that same year.<ref name="miho"/>