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<front>
<journal-meta>
<journal-id journal-id-type="publisher">ACPD</journal-id>
<journal-title-group>
<journal-title>Atmospheric Chemistry and Physics Discussions</journal-title>
<abbrev-journal-title abbrev-type="publisher">ACPD</abbrev-journal-title>
</journal-title-group>
<issn pub-type="epub">1680-7375</issn>
<publisher><publisher-name>Copernicus GmbH</publisher-name>
<publisher-loc>Göttingen, Germany</publisher-loc>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.5194/acpd-9-7589-2009</article-id>
<title-group>
<article-title>Technical note: Functional sliced inverse regression to infer temperature,  water vapour and ozone from IASI data</article-title>
</title-group>
<contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Amato</surname>
<given-names>U.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Antoniadis</surname>
<given-names>A.</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>De Feis</surname>
<given-names>I.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Masiello</surname>
<given-names>G.</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Matricardi</surname>
<given-names>M.</given-names>
</name>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Serio</surname>
<given-names>C.</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
</contrib>
</contrib-group><aff id="aff1">
<label>1</label>
<addr-line>Istituto per le Applicazioni del Calcolo &apos;&apos;Mauro Picone&apos;&apos;  CNR, Napoli, Italy</addr-line>
</aff>
<aff id="aff2">
<label>2</label>
<addr-line>Laboratoire Jean Kuntzmann, Université Joseph Fourier,  Grenoble, France</addr-line>
</aff>
<aff id="aff3">
<label>3</label>
<addr-line>Dipartimento di Ingegneria e Fisica dell&apos;Ambiente,  Università della Basilicata, Potenza, Italy</addr-line>
</aff>
<aff id="aff4">
<label>4</label>
<addr-line>European Centre  for Medium-Range Weather Forecasts (ECMWF), Reading,  UK</addr-line>
</aff>
<pub-date pub-type="epub">
<day>23</day>
<month>03</month>
<year>2009</year>
</pub-date>
<volume>9</volume>
<issue>2</issue>
<fpage>7589</fpage>
<lpage>7613</lpage>
<permissions>
<license xlink:type="simple">
<license-p>This is an open-access article ditributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.</license-p>
</license>
</permissions>
<self-uri xlink:href="http://www.atmos-chem-phys-discuss.net/9/7589/2009/acpd-9-7589-2009.html">This article is available from http://www.atmos-chem-phys-discuss.net/9/7589/2009/acpd-9-7589-2009.html</self-uri>
<self-uri xlink:href="http://www.atmos-chem-phys-discuss.net/9/7589/2009/acpd-9-7589-2009.pdf">The full text article is available as a PDF file from http://www.atmos-chem-phys-discuss.net/9/7589/2009/acpd-9-7589-2009.pdf</self-uri>
<abstract>
<p>A retrieval algorithm that uses a statistical strategy based on
      dimension reduction is proposed. The methodology and details of the
      implementation of the new algorithm are presented and discussed. The
      algorithm has been applied to high resolution spectra measured by the
      Infrared Atmospheric Sounding Interferometer instrument to retrieve
      atmospheric profiles of temperature, water vapour and ozone. The
      performance of the inversion strategy has been assessed by comparing
      the retrieved profiles to the ones obtained by co-locating in space
      and time profiles from the European Centre for Medium-Range Weather
      Forecasts analysis.</p>
</abstract>
<counts><page-count count="25"/></counts>
</article-meta>
</front>
<body/>
<back>
<ref-list>
<title>References</title>
<ref id="ref1">
<label>1</label><mixed-citation publication-type="other" xlink:type="simple"> Amato,~U., Antoniadis,~A., and De Feis,~I.: Dimension reduction in functional regression with applications, Comput. Stat. Data An., 50, 2422–2446, 2006. </mixed-citation>
</ref>
<ref id="ref2">
<label>2</label><mixed-citation publication-type="other" xlink:type="simple"> Amato,~U., Masiello,~G., Serio,~C., and Viggiano,~M.: The σ-IASI code for the calculation of infrared atmospheric radiance and its derivatives, Environ. Modell. Softw., 17/7, 651–667, 2002. </mixed-citation>
</ref>
<ref id="ref3">
<label>3</label><mixed-citation publication-type="other" xlink:type="simple">Antoniadis,~A. and Pham,~D T.: Wavelet regression for random or irregular design, Computat. Stat. Data An., 28, 353–369, 1998. </mixed-citation>
</ref>
<ref id="ref4">
<label>4</label><mixed-citation publication-type="other" xlink:type="simple"> Aumann,~H H. and Pagano,~R J.: Atmospheric Infrared Sounder on the Earth Observing System, Opt. Eng., 33, 776–784, 1994. </mixed-citation>
</ref>
<ref id="ref5">
<label>5</label><mixed-citation publication-type="other" xlink:type="simple"> Beer,~R., Glavich,~T A., and Rider,~D M.: Tropospheric emission spectrometer for the earth observing system&apos;s aura satellite, Appl. Opt., 40, 2356–2367, 2001. </mixed-citation>
</ref>
<ref id="ref6">
<label>6</label><mixed-citation publication-type="other" xlink:type="simple">Carissimo,~A., De Feis,~I., and Serio,~C.: The physical retrieval methodology for IASI: the σ-IASI code, Environ. Modell. Softw., 20, 1111–1126, 2005. </mixed-citation>
</ref>
<ref id="ref7">
<label>7</label><mixed-citation publication-type="other" xlink:type="simple">Carissimo,~A., Grieco,~G., Serio,~C., Cuomo,~V., Masiello,~G., and Smith,~W L.: Application of sigma-IASI to NAST-I, IRS 2004: Current problems in atmospheric radiation. Proceedings of the International Radiation Symposium, Busan, Korea, 23–28 August 2004, A. Deepak Publishing, Hampton, VA, 247–250, 2006. </mixed-citation>
</ref>
<ref id="ref8">
<label>8</label><mixed-citation publication-type="other" xlink:type="simple"> Chevalier,~F.: Sampled database of 60 levels atmospheric profiles from the ECMWF analysis, Tech. Rep., ECMWF EUMETSAT SAF programme Research Report 4, 2001. </mixed-citation>
</ref>
<ref id="ref9">
<label>9</label><mixed-citation publication-type="other" xlink:type="simple"> Cousins,~D. and Gazarick,~M J.: NAST Interferometer Design and Characterization, Final Report, MIT Lincoln Laboratory Project Report NOAA-26, July 13, 1999. </mixed-citation>
</ref>
<ref id="ref10">
<label>10</label><mixed-citation publication-type="other" xlink:type="simple"> EUMETSAT: IASI science plan, EUMETSAT, Darmstadt, 1998. </mixed-citation>
</ref>
<ref id="ref11">
<label>11</label><mixed-citation publication-type="other" xlink:type="simple">Golub,~G H. and Van Loan,~C F.: Matrix Computations, Baltimore, The Johns Hopkins University Press, 1983. </mixed-citation>
</ref>
<ref id="ref12">
<label>12</label><mixed-citation publication-type="other" xlink:type="simple">Golub,~G H. and Reinsch,~C.: Singular value decomposition and least squares solutions, Numer. Mat., 14, 403–420, 1970. </mixed-citation>
</ref>
<ref id="ref13">
<label>13</label><mixed-citation publication-type="other" xlink:type="simple">Grieco,~G., Masiello,~G., Matricardi,~M., Serio,~C., Summa,~D., and Cuomo,~V.: Demonstration and validation of the φ-IASI inversion scheme with NAST-I data, Q J R. Meteorol. Soc., 133(S3), 217–232, 2007. </mixed-citation>
</ref>
<ref id="ref14">
<label>14</label><mixed-citation publication-type="other" xlink:type="simple">Groetsch,~C W.: Generalized Inverses of Linear Operators: Representation and Approximation, Dekker, New York, 1977. </mixed-citation>
</ref>
<ref id="ref15">
<label>15</label><mixed-citation publication-type="other" xlink:type="simple"> Kobayashi,~H., Shimota,~A., Yoshigahara,~C., Yoshida,~I., Uehara,~Y., and Kondo,~K.: Satellite-Borne High-Resolution FTIR for Lower Atmosphere Sounding and Its Evaluation, IEEE Trans. Geosci. Remote Sens., 37, 1496–1507, 1999. </mixed-citation>
</ref>
<ref id="ref16">
<label>16</label><mixed-citation publication-type="other" xlink:type="simple">Jolliffe,~I T.: Principal Component Analysis, New York, Springer-Verlag, 2002. </mixed-citation>
</ref>
<ref id="ref17">
<label>17</label><mixed-citation publication-type="other" xlink:type="simple"> Li,~K C.: Sliced inverse regression for dimension reduction, with discussions, J. Amer. Statist. Assoc., 86, 316–342, 1991. </mixed-citation>
</ref>
<ref id="ref18">
<label>18</label><mixed-citation publication-type="other" xlink:type="simple">Saunders,~R., Rayer,~P., Brunel,~P., von Engeln,~A., Bormann,~N., Strow,~L., Hannon,~S., Heilliette,~S., Liu,~X., Miskolczi,~F., Han,~Y., Masiello,~G., Moncet,~J L., Uymin,~G., Sherlock,~V., and Turner,~S D.: A~comparison of radiative transfer models for simulating Atmospheric Infrared Sounder (AIRS) radiances, J. Geophys. Res., 112, D01S90, doi:10.1029/2006JD007088, 2007. </mixed-citation>
</ref>
<ref id="ref19">
<label>19</label><mixed-citation publication-type="other" xlink:type="simple"> Serio,~C., Masiello,~G., and Grieco,~C.: EOF regression analytical model with applications to the retrieval of atmospheric temperature and gas constituents concentration from high spectral resolution infrared observations, in Environmental Modelling: New Research, edited by: Findley, P N., Nova Science Publishers, Inc., 51–88, 2008a. </mixed-citation>
</ref>
<ref id="ref20">
<label>20</label><mixed-citation publication-type="other" xlink:type="simple"> Serio,~C., Esposito,~F., Masiello,~G., Pavese,~G., Calvello,~M R., Grieco,~G., Cuomo,~V., Buijs,~H L., and Roy,~C B.: Interferometer for ground-based observations of emitted spectral radiance from the troposphere: evaluation and retrieval performance, Appl. Opt., 47(21), 3909–3919, 2008b. </mixed-citation>
</ref>
<ref id="ref21">
<label>21</label><mixed-citation publication-type="other" xlink:type="simple">Taylor,~J P., Smith,~W L., Cuomo,~V., Larar,~A M., Zhou,~D K., Serio,~C., Maestri,~T., Rizzi,~R., Newman,~S., Antonelli,~P., Mango,~S., Di Girolamo,~P., Esposito,~F., Grieco,~G., Summa,~D., Restieri,~R., Masiello,~G., Romano,~F., Pappalardo,~G., Pavese,~G., Mona,~L., Amodeo,~A., and Pisani,~G.: EAQUATE – An International Experiment For Hyper-spectral Atmospheric Sounding Validation, Bull. Am. Meteorol. Soc., February issue, 203–218, doi:10.1175/BAMS-89-2-203, 2008. </mixed-citation>
</ref>
</ref-list>
</back>
</article>