EPFL | Biomedical Imaging Group | Recursive Fourier Transform

Comments, with Reply, on “A New Approach to Recursive Fourier Transform”

M. Unser, M.G. Amin

Proceedings of the IEEE, vol. 76, no. 10, pp. 1395–1396, October 1988.

The commenter points out that the recursive structure of the running Fourier transform has been investigated by a number of authors not quoted by Amin in his work (see ibid., vol. 75, no. 11, pp. 1537-1538, November 1987). He also holds that the main idea behind the generalization presented in the third section stems from the properties of a yet more general class of features that can be computed using the same recursive structure. Additionally, he discusses Amin's treatment of the general form of a weighted running Fourier coefficient and points out drawbacks of expressing the weighting function as a sum of 2 M + 1 geometric series and treating each term separately. The author replies to the various comments.

@ARTICLE(http://bigwww.epfl.ch/publications/unser8801.html,
AUTHOR="Unser, M. and Amin, M.G.",
TITLE="Comments, with Reply, on ``{A} New Approach to Recursive
	{F}ourier Transform''",
JOURNAL="Proceedings of the {IEEE}",
YEAR="1988",
volume="76",
number="10",
pages="1395--1396",
month="October",
note="")

© 1988 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from IEEE. This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder.