%0 Journal Article
%T Enhanced Frequency Resolution in Data Analysis
%A Luca Perotti
%A Daniel Vrinceanu
%A Daniel Bessis
%J American Journal of Computational Mathematics
%P 242-251
%@ 2161-1211
%D 2013
%I Scientific Research Publishing
%R 10.4236/ajcm.2013.33034
%X <p class=\"MsoNormal\" style=\"text-align:justify;\">
	<span lang=\"EN-US\">We present a numerical study of the resolution power of Pad¨¦
Approximations to the <i>Z</i>-transform,
compared to the Fourier transform. As signals are represented as isolated poles
of the Pad¨¦ Approximant to the <i>Z</i>-transform,
resolution depends on the relative position of signal poles <i>in</i> <i>the</i> <i>complex</i> <i>plane</i> <i>i</i>.<i>e</i>.
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.</span><span lang=\"EN-US\"><o:p></o:p></span> 
</p>
%K Frequency Resolution
%K Z-Transform
%K Pad&#233
%K Approximations
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=36674