A new approach to time-frequency localized signal design
Author
Özdemir, Ahmet Kemal
Aydın, Zafer
Arıkan, Orhan
Date
2002Source Title
Proceedings of the International Conference on Acoustics, Speech, and Signal Processing, IEEE 2002
Print ISSN
1520-6149
Publisher
IEEE
Pages
1229 - 1232
Language
English
Type
Conference PaperItem Usage Stats
164
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119
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Abstract
A novel approach is presented for the design of signals in Wigner Domain. In this method, the desired signal features in the time-frequency domain are specified in two stages. First the user specifies the spine curve around which the energy of the desired signal is distributed in the time-frequency plane. Then, the user specifies the spread of the desired signal energy around the spine. In addition to this fundamentally new way of defining the time-frequency features of the desired signal, the actual synthesis of the signal is performed in a warped fractional Fourier transform approach [1]. After obtaining the designed signal, it is transformed back to the original time domain providing the final result of the new signal synthesis technique. In contrast to the conventional algorithms, the proposed method provides very good results even if the inner cross-term structure of the desired signal is not specified.
Keywords
Fractional domain warpingFractional Fourier transforms
Signal synthesis technique
Time frequency localized signal design
Wigner domain
Algorithms
Eigenvalues and eigenfunctions
Fourier transforms
Frequency domain analysis
Probability distributions
Time domain analysis
Signal processing