Dergiler / Istanbul University Journal of Electrical and Electronics Engineering / 2002 / Cilt: 2 - Sayı: 2

A discrete fractional gabor expansion for time frequency signal analysis

Sayfa
483–487
Yayın Tarihi
2022-10-18
DOI
—
🏛️Bu makalenin bibliyografik verileri ve tam metin bağlantısı DergiPark üzerinden sağlanmıştır.
DergiPark Kaydı ↗
✨

Yapay Zeka Hızlı Bakış & Çıkarımlar

AI Insight
⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Simulation results are presented to illustrate the performance of our method.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this work, we present a discrete fractional Gabor representation on a general, non-rectangular time-frequency lattice.
📊
Temel Bulgular & Veri:The proposed fractional Gabor method uses a set of basis functions that are related to the fractional Fourier basis and generate a non-rectangular tiling.
💡
Sonuç & Katkı:Simulation results are presented to illustrate the performance of our method.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

In this work, we present a discrete fractional Gabor representation on a general, non-rectangular time-frequency lattice. The traditional Gabor expansion represents a signal in terms of time and frequency shifted basis functions, called Gabor logons. This constant-bandwidth analysis uses a fixed, and rectangular time-frequency plane tiling. Many of the practical signals require a more flexible, non-rectangular time-frequency lattice for a compact representation. The proposed fractional Gabor method uses a set of basis functions that are related to the fractional Fourier basis and generate a non-rectangular tiling. Simulation results are presented to illustrate the performance of our method.

🔖

Bu Makaleye Atıf Yap

AKAN, A., ÇEKİÇ, Y., CHAPARRO, L. F. (2022). A discrete fractional gabor expansion for time frequency signal analysis. Istanbul University Journal of Electrical and Electronics Engineering, Cilt: 2 - Sayı: 2, 483–487. https://ajindex.com/articles/543947

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (16)

  1. Cohen, L., Time-Frequency Analysis. Prentice Hall, Englewood Cliffs, NJ, 1995
  2. Gabor, D., Theory of Communication, J. IEE, Vol. 93, pp. 429-459, 1946
  3. Wexler, J., and Raz, S., Discrete Gabor Expansions, Signal Processing}, Vol. 21, No. 3, pp. 207-220, Nov. 1990
  4. Jones, D.L., and Parks, T.W., “A High Resolution Data--Adaptive Time--Frequency Representation”, IEEE Trans. on Signal Proc., Vol. 38, No. 12, pp. 2127-2135, Dec. 1990
  5. Jones, D.L., and Baraniuk, R.G., “A Simple Scheme For Adapting Time--Frequency Representations,” IEEE Trans. on Signal Proc., Vol. 42, No. 12, pp. 3530-3535, Dec. 1994
  6. Baraniuk, R.G., and Jones, D.L. “Shear Madness: New Orthonormal Bases and Frames Using Chirp Functions,” IEEE Trans. on Signal Proc., Vol. 41, No. 12, pp. 3543--3549, Dec. 1993
  7. Bultan A., A “Four--Parameter Atomic Decomposition of Chirplets,” IEEE Tans. on Signal Proc., Vol. 47 pp. 731--745, 1999
  8. Akan, A., and Chaparro, L.F., “Evolutionary Chirp Representation of Nonstationary Signals via Gabor Transform,” Signal Processing, Vol. 81, No. 11, pp. 2429-2436, Nov. 2001
  9. Akan, A., and Chaparro, L.F., “Multi--window Gabor Expansion for Evolutionary Spectral Analysis,” Signal Processing, Vol. 63, pp. 249--262, Dec. 1997
  10. Bastiaans, M.J., and van Leest, A.J., “From the Rectangular to the Quincunx Gabor Lattice via Fractional Fourier Trasformation,''IEEE Signal Proc. Letters, Vol. 5, No. 8, pp. 203-205,1998
  11. Pei, S.C., Yeh, M.H., and Luo, T.L., “Fractional Fourier Series Expansion for Finite Signals and Dual Extension to Discrete--Time Fractional Fourier Transform,” IEEE Trans. on Signal Proc., Vol. 47, No. 10, pp. 2883-2888, Oct. 1999
  12. Almeida, L.B., “The Fractional Fourier Transform and Time-Frequency Representations,'' IEEE Trans. on Signal Proc., Vol. 42, No. 11, pp. 3084-3091, Nov. 1994
  13. Ozaktas, H.M., Barshan, B., Mendlovic,D., and Onural, L., “Convolution, Filtering and Multiplexing in Fractional Fourier Domains and their Relation to Chirp and Wavelet Transforms,” J. Opt. Soc. Am. A, Vol. 11, no. 2, pp. 547-559, 1994
  14. Kutay, M.A., Ozaktas, H.M., Arikan, O., and Onural, L., “Optimal Filtering in Fractional Fourier Domains,” IEEE Trans. on Signal Proc., Vol. 45, no. 5, pp. 1129-1142, May 1997
  15. Ozaktas, H.M., Arikan, O., Kutay, M.A., and Bozdagi, G., “Digital Computation of the Fractional Fourier Transform,” IEEE Trans. on Signal Proc., Vol. 44, no. 9, pp. 2141-2150, Sep. 1996
  16. Candan C., Kutay, M.A