Optimal short-time Fourier transform for monocomponent signals
Author
Güven, Hüseyin Emre
Date
2004Source Title
Proceedings of the 12th Signal Processing and Communications Applications Conference, IEEE 2004
Publisher
IEEE
Pages
312 - 315
Language
Turkish
Type
Conference PaperItem Usage Stats
159
views
views
97
downloads
downloads
Abstract
New methods of improving the short-time Fourier transform representation of signals have recently emerged. These methods use linear canonical transforms to bring the signal into a minimal time-bandwidth product form. Here we show that linear canonical transforms are not sufficient to achieve the minimum time-bandwidth product for high-order modulated mono-component signals. Therefore we propose a novel short-time Fourier transform method which requires an adaptive window, making use of an initial instantaneous frequency estimator. The new approach is able to achieve the highest possible resolution for monocomponent signals. Finally, we discuss the benefits of the proposed method.
Keywords
BandwidthFourier transforms
Integration
Mathematical transformations
Set theory
Theorem proving
Frequency estimators
Linear canonical transforms
Monocomponent signals
Short-time Fourier transform
Signal processing
Permalink
http://hdl.handle.net/11693/27433Published Version (Please cite this version)
https://www.doi.org/10.1109/SIU.2004.1338322Collections
Related items
Showing items related by title, author, creator and subject.
-
Sparse representation of two-and three-dimensional images with fractional fourier, hartley, linear canonical, and haar wavelet transforms
Koç A.; Bartan, B.; Gundogdu, E.; Çukur, T.; Haldun M. Özaktaş (Elsevier Ltd, 2017)Sparse recovery aims to reconstruct signals that are sparse in a linear transform domain from a heavily underdetermined set of measurements. The success of sparse recovery relies critically on the knowledge of transform ... -
Fast and accurate linear canonical transform algorithms
Özaktaş, Haldun M.; Koç, A. (IEEE, 2015)Linear canonical transforms are encountered in many areas of science and engineering. Important transformations such as the fractional Fourier transform and the ordinary Fourier transform are special cases of this transform ... -
Linear canonical transforms, degrees of freedom, and sampling in optical signals and systems
Özaktaş, Haldun M.; Öktem, F. S. (IEEE, 2014)We study the degrees of freedom of optical systems and signals based on space-frequency (phase-space) analysis. At the heart of this study is the relationship of the linear canonical transform domains to the space-frequency ...