The Chirplet Transform for interactive marine radar

The chirplet transform was invented in the 1980s as a form of interactive marine radar but the work was not reported in the literature until 1991:

First published reference to chirplets:

  author = "Mann, Steve and Haykin, Simon",
  title = "The Chirplet Transform: A Generalization of
            {G}abor's Logon Transform",
  journal = "Vision Interface '91",
  publisher = "",
  organization = "Canadian Image Processing and Patern Recognition Society",
  address = "Calgary, Alberta",
  month = "June 3-7",
  pages = "205--212",
  note = "ISSN 0843-803X",
  year = "1991"

Download a PDF version of this paper

(made using OCR (Optical Character Recognition) of a scan of the paper as it appeared in print).

A scan of the 8 page article is here and you can also download a gzipped tarfile in html with jpeg files.

Copies of the full conference proceedings are obtainable from:

Canadian Information Processing Society
430 King St. West, Suite 205
Toronto, Ont.
M5V 1L5
Tel: (416) 593-4040
The Gaussian chirplet transform in the above paper was inspired by Gabor's 1946 paper on communication.

Adaptive chirplet transform (1991):

  author = {Mann, Steve and Haykin, Simon},
  title = "{The Adaptive Chirplet: An Adaptive Wavelet Like Transform}",
  journal = "SPIE, 36th Annual International Symposium on Optical and
  Optoelectronic Applied Science and Engineering",
  organization = "The International Society for Optical Engineering",
  address = "San Diego, California",
  month = "21-26 July",
  year = "1991"
The above paper describes Logon Expectation Maximization (LEM) which is a form of EM in the Time Frequency plane to form an optimal set of chirplet functions for the analysis of particular classes of signals.

There was also a 1992 paper on LEM, and related matter.

A more recent article on chirplets and the chirplet transform

  author    = "Steve Mann and Simon Haykin",
  title     = "The Chirplet Transform: Physical Considerations",
  journal = "{IEEE} Trans. Signal Processing",
  year = "1995",
  volume = 43,
  number = 11,
  pages = 2745--2761",
  month = "November",
  organization = "The Institute for Electrical and Electronics Engineers"}
# publisher = "{IEEE}",
# in above line, IEEE doesn't get included so i put it as part of the journal
Also available in PDF (Proprietary Document Format) [link].

What is a chirplet?

You can take a look at an informal overview and introduction to chirplet theory

The Gaussian chirplet transform is based on a generalization of Gabor's concept of the logon.