Dergiler / Istanbul University Journal of Electrical and Electronics Engineering / 2004 / Cilt: 4 - Sayı: 2

Instantaneous frequency estimation using a least squares time-frequency method

Sayfa
1131–1136
Yayın Tarihi
2022-10-18
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Examples are given to illustrate the performance of our method.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:We present a method for estimating the instantaneous frequency of a signal.
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Temel Bulgular & Veri:This method involves the calculation of a time-frequency energy density of the signal, then obtaining an instantaneous frequency estimation from this joint density.
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Sonuç & Katkı:Examples are given to illustrate the performance of our method.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

We present a method for estimating the instantaneous frequency of a signal. This method involves the calculation of a time-frequency energy density of the signal, then obtaining an instantaneous frequency estimation from this joint density. Time-frequency energy density is calculated as a least squares optimal combination of multi-window Gabor based evolutionary spectra. The optimal weights are obtained by minimizing an error criterion that is the difference between a reference time-frequency distribution and the combination of evolutionary spectra. Then instantaneous frequency of the signal is estimated from the final evolutionary spectrum as time conditional average frequency. Examples are given to illustrate the performance of our method.

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Bu Makaleye Atıf Yap

AKAN, A., ÖZTÜRK, M. (2022). Instantaneous frequency estimation using a least squares time-frequency method. Istanbul University Journal of Electrical and Electronics Engineering, Cilt: 4 - Sayı: 2, 1131–1136. https://ajindex.com/articles/543860

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Kaynakça (12)

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  9. Bayram, M., and Baraniuk, R.G., ``Multiple Window Time--Frequency Analysis,'' IEEE SP Intl. Symposium on Time-Frequency and Time-Scale Analysis, TFTS'96, Paris, France, pp. 173-176, Jun. 1996
  10. Cakrak, F., and Loughlin, P., ``Multiwindow Time-Varying Spectrum with Instantaneous Bandwidth and Frequency Constraints,'' IEEE Trans. on Signal Process., Vol. 49, pp. 1656-1666, Aug. 2001
  11. 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
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