A new zoom algorithm and its use in frequency estimation

• Authors: Manuel D. Ortigueira , António S. Serralheiro , J. A. Tenreiro Machado
• Languages of publication: EN

Abstracts

EN

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.

Keywords

EN

Zoom algorithm; frequency estimation; FFT

• Publisher: De Gruyter Open
• Journal: Waves, Wavelets and Fractals
• Year: 2015
• Volume: 1
• Issue: 1

Dates

accepted

16 - 9 - 2015

online

6 - 11 - 2015

received

6 - 8 - 2015

Contributors

author

Manuel D. Ortigueira

• CTS-UNINOVA, Department of Electrical
  Engineering, Faculty of Sciences and Technology, Universidade
  Nova de Lisboa, Portugal

author

António S. Serralheiro

• Academia Militar and INESC,
  R. Alves Redol, 9, 2º, 1000-029, Lisbon, Portugal

author

J. A. Tenreiro Machado

• Institute of Engineering, Polytechnic of
  Porto, Dept. Electrical Engineering, Rua Dr. António Bernardino
  de Almeida, 431, 4249-015 Porto, Portugal

References

• [1] Burrus C.S., McClellan J.H., Oppenheim A.V., Parks T.W., SchaferR., Schuessler H., Computer-Based Exercices for Signal Processingusing MatLab, Prentice-Hall, USA (1994)
• [2] ChenW.J., Spectrummagnifier: Zooming into local details in thefrequency domain. In: 2013 IEEE China Summit & InternationalConference on Signal and Information Processing, pp. 82–85,Beijing, China (2013)
• [3] Franz S., Mitra S.K., Doblinger G., Frequency estimation usingwarped discrete Fourier transform, Signal Processing 83(8),1661–1671 (2003)[Crossref]
• [4] Hossen A., Heute U., A novel simple adaptive spectral analysiszoom for narrow-band signals. In: 11th European Signal ProcessingConference, pp. 1–4, Toulouse, France (2002)
• [5] Murugan K., Electrocardiogram signal analysis using zoom FFT.In: 2012 ISSNIP Biosignals and Biorobotics Conference, pp. 1–4.Manaus, Brazil (2012)
• [6] Ortigueira M.D.,Matos C.J.C., Piedade M.S., Fractional discretetimesignal processing: Scale conversion and linear prediction,Nonlinear Dynamics 29(1–4), 173–190 (2002)[Crossref]
• [7] Randall R.B., Frequency Analysis, Brüell and Kjær, Denmark(1987)
• [8] wei Wang L., liu Zhao J., ying Wang Z., na Pang L., Applicationof zoom FFT technique to detecting EM signal of SLF/ELF, ActaSeismologica Sinica 20(1), 63–70 (2007)
• [9] Yanhua J., Gun L., Kaiyu Q., Study of a novel zoom spectrumanalysis approach for wireless communication analyzer. In: InternationalConference on Communications and Mobile Computing,vol. 1, pp. 367–371. Yunnan, China (2009)
• [10] Zolnai Z., Juranić N., Markley J.L., Macura S., Zooming, a practicalstrategy for improving the quality of multidimensional NMRspectra, Journal of Magnetic Resonance, Series A 119(1), 5364(1996)

Identifiers

DOI

10.1515/wwfaa-2015-0002