<?xml version="1.0" encoding="ISO-8859-1"?><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">
<front>
<journal-meta>
<journal-id>0035-001X</journal-id>
<journal-title><![CDATA[Revista mexicana de física]]></journal-title>
<abbrev-journal-title><![CDATA[Rev. mex. fis.]]></abbrev-journal-title>
<issn>0035-001X</issn>
<publisher>
<publisher-name><![CDATA[Sociedad Mexicana de Física]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S0035-001X2017000600505</article-id>
<title-group>
<article-title xml:lang="es"><![CDATA[Transformada discreta de ambigüedad]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Krötzsch]]></surname>
<given-names><![CDATA[G.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Gómez-Méndez]]></surname>
<given-names><![CDATA[M.A.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Universidad Nacional Autónoma de México Instituto de Ciencias Físicas ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Mexico</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>12</month>
<year>2017</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>12</month>
<year>2017</year>
</pub-date>
<volume>63</volume>
<numero>6</numero>
<fpage>505</fpage>
<lpage>515</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_arttext&amp;pid=S0035-001X2017000600505&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_abstract&amp;pid=S0035-001X2017000600505&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_pdf&amp;pid=S0035-001X2017000600505&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="es"><p><![CDATA[Resumen En este trabajo se presenta un algoritmo de cómputo para calcular la Transformada Discreta de Ambigüedad y mediante sus representaciones en el espacio tiempo-frecuencia caracterizar y analizar las señales temporales producidas por vibraciones mecánicas. Partiendo de la igualdad de Riemann entre la integral acotada de una función continua y el límite al infinito de la sumatoria de la misma función se obtiene una versión discreta de la transformada. El programa fue escrito para software de computo simbólico en MATHEMATICA 10 ©, que con su transformada de Fourier compilada permite reducir el tiempo de cómputo. Se caracterizan y analizan los registros de vibración del eje de las máquinas de rotación, se comparan con funciones diseñadas compuestas de sinusoides de frecuencias constantes y moduladas linealmente. La metodología seguida es útil y eficiente para conocer la composición estructural y el comportamiento de señales de vibración mecánica.]]></p></abstract>
<abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract In this work, a computer algorithm is presented to calculate the Discrete Ambiguity Transform and through its representations in the time-frequency space to characterize and analyze the temporal signals produced by mechanical vibrations. Starting from the equality of Riemann between the bounded integral of a continuous function and the limit to infinity of the sum of the same function, a discrete version of the transform is obtained. The program was written for symbolic computing software in Mathematica 10 ©, which with its compiled Fourier transform allows reducing computation time. The vibration registers of the axis of rotating machines are characterized and analyzed then compared with designed functions composed of sinusoids of constant and linearly modulated frequencies. The methodology followed is useful and efficient to know the structural composition and behavior of mechanical vibration signals.]]></p></abstract>
<kwd-group>
<kwd lng="es"><![CDATA[Función de ambigüedad]]></kwd>
<kwd lng="es"><![CDATA[señales FM lineales]]></kwd>
<kwd lng="es"><![CDATA[vibraciones de eje rotatorio]]></kwd>
<kwd lng="es"><![CDATA[doppler]]></kwd>
<kwd lng="es"><![CDATA[algoritmo de cómputo]]></kwd>
<kwd lng="es"><![CDATA[Estimador de máxima similitud]]></kwd>
<kwd lng="en"><![CDATA[Ambiguity Function]]></kwd>
<kwd lng="en"><![CDATA[lineal FM signals]]></kwd>
<kwd lng="en"><![CDATA[rotary shaft&#8217;s vibrations]]></kwd>
<kwd lng="en"><![CDATA[doppler]]></kwd>
<kwd lng="en"><![CDATA[computer algorithm]]></kwd>
<kwd lng="en"><![CDATA[maximum similarity estimator]]></kwd>
<kwd lng="es"><![CDATA[02.30.Uu]]></kwd>
<kwd lng="es"><![CDATA[02.30.Nw]]></kwd>
<kwd lng="es"><![CDATA[02.30.Fn]]></kwd>
<kwd lng="en"><![CDATA[02.30.Uu]]></kwd>
<kwd lng="en"><![CDATA[02.30.Nw]]></kwd>
<kwd lng="en"><![CDATA[02.30.Fn]]></kwd>
</kwd-group>
</article-meta>
</front><back>
<ref-list>
<ref id="B1">
<label>1</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Apostol]]></surname>
<given-names><![CDATA[T.M.]]></given-names>
</name>
</person-group>
<source><![CDATA[]]></source>
<year>1984</year>
<volume>Calculus</volume>
<edition>2nd</edition>
<page-range>79-153</page-range><publisher-loc><![CDATA[España ]]></publisher-loc>
<publisher-name><![CDATA[Editorial Reverté]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B2">
<label>2</label><nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Gabor]]></surname>
<given-names><![CDATA[D.]]></given-names>
</name>
</person-group>
<source><![CDATA[Electrical Engineers Part III: Radio and Communication Engineering, J. Institution of]]></source>
<year>1946</year>
<volume>93</volume>
<page-range>429</page-range></nlm-citation>
</ref>
<ref id="B3">
<label>3</label><nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Hlawatsch]]></surname>
<given-names><![CDATA[F.]]></given-names>
</name>
</person-group>
<source><![CDATA[IEEE Transactions on signal processing]]></source>
<year>1991</year>
<volume>39</volume>
<page-range>1564</page-range></nlm-citation>
</ref>
<ref id="B4">
<label>4</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Holbrook]]></surname>
<given-names><![CDATA[J.G.]]></given-names>
</name>
</person-group>
<source><![CDATA[Laplace Transforms for Electronic Engineers]]></source>
<year>1966</year>
<edition>2nd</edition>
<page-range>37-46</page-range><publisher-loc><![CDATA[New York ]]></publisher-loc>
<publisher-name><![CDATA[Pergamon pres]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B5">
<label>5</label><nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Lieb]]></surname>
<given-names><![CDATA[E.H.]]></given-names>
</name>
</person-group>
<source><![CDATA[J. Math. Phys.]]></source>
<year></year>
<volume>31</volume>
<numero>3</numero>
<issue>3</issue>
<page-range>1990</page-range></nlm-citation>
</ref>
<ref id="B6">
<label>6</label><nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Nyquist]]></surname>
<given-names><![CDATA[H.]]></given-names>
</name>
</person-group>
<source><![CDATA[Bell System technical journal]]></source>
<year>1924</year>
<volume>3</volume>
<page-range>324</page-range></nlm-citation>
</ref>
<ref id="B7">
<label>7</label><nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Papoulis]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
</person-group>
<source><![CDATA[J. Opt. Soc. Am.]]></source>
<year>1974</year>
<volume>64</volume>
<page-range>6</page-range></nlm-citation>
</ref>
<ref id="B8">
<label>8</label><nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Pei]]></surname>
<given-names><![CDATA[S.-C.]]></given-names>
</name>
<name>
<surname><![CDATA[Jaw]]></surname>
<given-names><![CDATA[S.-B.]]></given-names>
</name>
</person-group>
<source><![CDATA[IEEE Trans. Circuits and Systems]]></source>
<year>1989</year>
<volume>36</volume>
<page-range>1251</page-range></nlm-citation>
</ref>
<ref id="B9">
<label>9</label><nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Shannon]]></surname>
<given-names><![CDATA[C.E.]]></given-names>
</name>
</person-group>
<source><![CDATA[Proc. IEEE]]></source>
<year>1984</year>
<volume>72</volume>
<page-range>1192</page-range></nlm-citation>
</ref>
<ref id="B10">
<label>10</label><nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Shin]]></surname>
<given-names><![CDATA[Y.S.]]></given-names>
</name>
<name>
<surname><![CDATA[Jeon]]></surname>
<given-names><![CDATA[J.-J.]]></given-names>
</name>
</person-group>
<source><![CDATA[Shock and Vibration]]></source>
<year>1993</year>
<volume>1</volume>
<page-range>65</page-range></nlm-citation>
</ref>
<ref id="B11">
<label>11</label><nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Slamani]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
<name>
<surname><![CDATA[Weiner]]></surname>
<given-names><![CDATA[D.]]></given-names>
</name>
<name>
<surname><![CDATA[Tsao]]></surname>
<given-names><![CDATA[T.]]></given-names>
</name>
<name>
<surname><![CDATA[Varshney]]></surname>
<given-names><![CDATA[P.]]></given-names>
</name>
<name>
<surname><![CDATA[Schwarzlander]]></surname>
<given-names><![CDATA[H.]]></given-names>
</name>
<name>
<surname><![CDATA[Borek]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
</person-group>
<source><![CDATA[Proc. IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis]]></source>
<year>1992</year>
<page-range>501-4</page-range></nlm-citation>
</ref>
<ref id="B12">
<label>12</label><nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Vakman]]></surname>
<given-names><![CDATA[D.]]></given-names>
</name>
</person-group>
<source><![CDATA[IEEE Trans. Signal Process.]]></source>
<year>1996</year>
<volume>44</volume>
<page-range>791</page-range></nlm-citation>
</ref>
<ref id="B13">
<label>13</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Vera]]></surname>
<given-names><![CDATA[E.]]></given-names>
</name>
</person-group>
<source><![CDATA[Procesamiento de señales e imágenes: Teoría y Aplicaciones]]></source>
<year>2004</year>
<page-range>110-61</page-range><publisher-loc><![CDATA[Argentina ]]></publisher-loc>
<publisher-name><![CDATA[Universidad Tecnológica Nacional]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B14">
<label>14</label><nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Ville]]></surname>
<given-names><![CDATA[J.D.]]></given-names>
</name>
</person-group>
<source><![CDATA[Cables et transmision]]></source>
<year>1948</year>
<volume>2</volume>
<page-range>61</page-range></nlm-citation>
</ref>
</ref-list>
</back>
</article>
