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Efficient Time-Frequency Localization of a Signal
Author
Source
International Journal of Digital Multimedia Broadcasting
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-08-25
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Telecommunications Engineering
Electronic engineering
Information Technology and Computer Science
Abstract EN
A new representation of the Fourier transform in terms of time and scale localization is discussed that uses a newly coined A-wavelet transform (Grigoryan 2005).
The A-wavelet transform uses cosine- and sine-wavelet type functions, which employ, respectively, cosine and sine signals of length 2 π .
For a given frequency ω , the cosine- and sine-wavelet type functions are evaluated at time points separated by 2 π / ω on the time-axis.
This is a two-parameter representation of a signal in terms of time and scale (frequency), and can find out frequency contents present in the signal at any time point using less computation.
In this paper, we extend this work to provide further signal information in a better way and name it as A * -wavelet transform.
In our proposed work, we use cosine and sine signals defined over the time intervals, each of length 2 π m / ( 2 n ω ) , m ≤ 2 n , m and n are nonnegative integers, to develop cosine- and sine-type wavelets.
Using smaller time intervals provides sharper frequency localization in the time-frequency plane as the frequency is inversely proportional to the time.
It further reduces the computation for evaluating the Fourier transform at a given frequency.
The A-wavelet transform can be derived as a special case of the A * -wavelet transform.
American Psychological Association (APA)
Chand, Satish. 2014. Efficient Time-Frequency Localization of a Signal. International Journal of Digital Multimedia Broadcasting،Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-1036395
Modern Language Association (MLA)
Chand, Satish. Efficient Time-Frequency Localization of a Signal. International Journal of Digital Multimedia Broadcasting No. 2014 (2014), pp.1-10.
https://search.emarefa.net/detail/BIM-1036395
American Medical Association (AMA)
Chand, Satish. Efficient Time-Frequency Localization of a Signal. International Journal of Digital Multimedia Broadcasting. 2014. Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-1036395
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1036395