Enhanced Frequency Resolution in Data Analysis

We present a numerical study of the resolution power of Pade Approximations to the Z-transform, compared to the Fourier transform. As signals are represented as isolated poles of the Pade Approximant to the Z-transform, resolution depends on the relative position of signal poles in the complex plane...

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Bibliographic Details
Published in:American journal of computational mathematics 2013-08, Vol.3 (3), p.242-251
Main Authors: Perotti, Luca, Vrinceanu, Daniel, Bessis, Daniel
Format: Article
Language:English
Subjects:
Angular position
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Summary:We present a numerical study of the resolution power of Pade Approximations to the Z-transform, compared to the Fourier transform. As signals are represented as isolated poles of the Pade Approximant to the Z-transform, resolution depends on the relative position of signal poles in the complex plane i.e. not only the difference in frequency (separation in angular position) but also the difference in the decay constant (separation in radial position) contributes to the resolution. The frequency resolution increase reported by other authors is therefore an upper limit: in the case of signals with different decay rates frequency resolution can be further increased.
ISSN:2161-1203
2161-1211
DOI:10.4236/ajcm.2013.33034