A new zoom algorithm and its use in frequency estimation

Manuel D. Ortigueira; António S. Serralheiro; J. A. Tenreiro Machado

Waves, Wavelets and Fractals (2015)

  • Volume: 1, Issue: 1
  • ISSN: 2449-5557

Abstract

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This paper presents a novel zoom transform algorithm for a more reliable frequency estimation. In fact, in many signal processing problems exact determination of the frequency of a signal is of paramount importance. Some techniques derived from the Fast Fourier Transform (FFT), just pad the signal with enough zeros in order to better sample its Discrete-Time Fourier Transform. The proposed algorithm is based on the FFT and avoids the problems observed in the standard heuristic approaches. The analytic formulation of the novel approach is presented and illustrated by means of simulations over short-time based signals. The presented examples demonstrate that the method gives rise to precise and deterministic results.

How to cite

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Manuel D. Ortigueira, António S. Serralheiro, and J. A. Tenreiro Machado. "A new zoom algorithm and its use in frequency estimation." Waves, Wavelets and Fractals 1.1 (2015): null. <http://eudml.org/doc/276687>.

@article{ManuelD2015,
abstract = {This paper presents a novel zoom transform algorithm for a more reliable frequency estimation. In fact, in many signal processing problems exact determination of the frequency of a signal is of paramount importance. Some techniques derived from the Fast Fourier Transform (FFT), just pad the signal with enough zeros in order to better sample its Discrete-Time Fourier Transform. The proposed algorithm is based on the FFT and avoids the problems observed in the standard heuristic approaches. The analytic formulation of the novel approach is presented and illustrated by means of simulations over short-time based signals. The presented examples demonstrate that the method gives rise to precise and deterministic results.},
author = {Manuel D. Ortigueira, António S. Serralheiro, J. A. Tenreiro Machado},
journal = {Waves, Wavelets and Fractals},
keywords = {Zoom algorithm; frequency estimation; FFT},
language = {eng},
number = {1},
pages = {null},
title = {A new zoom algorithm and its use in frequency estimation},
url = {http://eudml.org/doc/276687},
volume = {1},
year = {2015},
}

TY - JOUR
AU - Manuel D. Ortigueira
AU - António S. Serralheiro
AU - J. A. Tenreiro Machado
TI - A new zoom algorithm and its use in frequency estimation
JO - Waves, Wavelets and Fractals
PY - 2015
VL - 1
IS - 1
SP - null
AB - This paper presents a novel zoom transform algorithm for a more reliable frequency estimation. In fact, in many signal processing problems exact determination of the frequency of a signal is of paramount importance. Some techniques derived from the Fast Fourier Transform (FFT), just pad the signal with enough zeros in order to better sample its Discrete-Time Fourier Transform. The proposed algorithm is based on the FFT and avoids the problems observed in the standard heuristic approaches. The analytic formulation of the novel approach is presented and illustrated by means of simulations over short-time based signals. The presented examples demonstrate that the method gives rise to precise and deterministic results.
LA - eng
KW - Zoom algorithm; frequency estimation; FFT
UR - http://eudml.org/doc/276687
ER -

References

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  2. [2] ChenW.J., Spectrummagnifier: Zooming into local details in the frequency domain. In: 2013 IEEE China Summit & International Conference on Signal and Information Processing, pp. 82–85, Beijing, China (2013)  
  3. [3] Franz S., Mitra S.K., Doblinger G., Frequency estimation using warped discrete Fourier transform, Signal Processing 83(8), 1661–1671 (2003) [Crossref] Zbl1144.94335
  4. [4] Hossen A., Heute U., A novel simple adaptive spectral analysis zoom for narrow-band signals. In: 11th European Signal Processing Conference, pp. 1–4, Toulouse, France (2002)  
  5. [5] Murugan K., Electrocardiogram signal analysis using zoom FFT. In: 2012 ISSNIP Biosignals and Biorobotics Conference, pp. 1–4. Manaus, Brazil (2012)  
  6. [6] Ortigueira M.D.,Matos C.J.C., Piedade M.S., Fractional discretetime signal processing: Scale conversion and linear prediction, Nonlinear Dynamics 29(1–4), 173–190 (2002) [Crossref] Zbl1009.93074
  7. [7] Randall R.B., Frequency Analysis, Brüell and Kjær, Denmark (1987)  
  8. [8] wei Wang L., liu Zhao J., ying Wang Z., na Pang L., Application of zoom FFT technique to detecting EM signal of SLF/ELF, Acta Seismologica Sinica 20(1), 63–70 (2007)  
  9. [9] Yanhua J., Gun L., Kaiyu Q., Study of a novel zoom spectrum analysis approach for wireless communication analyzer. In: International Conference on Communications and Mobile Computing, vol. 1, pp. 367–371. Yunnan, China (2009)  
  10. [10] Zolnai Z., Juranić N., Markley J.L., Macura S., Zooming, a practical strategy for improving the quality of multidimensional NMR spectra, Journal of Magnetic Resonance, Series A 119(1), 5364 (1996)  

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