@ARTICLE{mannVI91, 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" }
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. Canada M5V 1L5 Tel: (416) 593-4040The Gaussian chirplet transform in the above paper was inspired by Gabor's 1946 paper on communication.
Adaptive chirplet transform (1991):
@ARTICLE{mannspieconference,
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
@ARTICLE{mannsp,
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].
The Gaussian chirplet transform is based on a generalization of Gabor's concept of the logon.