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  <controlfield tag="001">UP-99796217609625226</controlfield>
  <controlfield tag="003">Buklod</controlfield>
  <controlfield tag="005">20231007234507.0</controlfield>
  <controlfield tag="006">m    |o  d |      </controlfield>
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   <subfield code="a">DENGII</subfield>
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   <subfield code="a">eng</subfield>
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  <datafield tag="100" ind1="0" ind2=" ">
   <subfield code="a">Zakharov, Y.V.</subfield>
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   <subfield code="a">Frequency estimation in multipath Rayleigh-sparse-fading channels.</subfield>
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  <datafield tag="300" ind1=" " ind2=" ">
   <subfield code="a">pp. 1711-1720</subfield>
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  <datafield tag="520" ind1=" " ind2=" ">
   <subfield code="a">Maximum-likelihood (ML) data-aided frequency estimation in multipath Rayleigh-fading channels with sparse impulse responses is investigated. We solve this problem under the assumption that the autocorrelation matrix of the pilot signal can be approximated by a diagonal matrix, the fading of different path amplitudes are independent from each other, and the additive noise is white and Gaussian. The ML frequency estimator is shown to be based on combining nonlinearly transformed path periodograms. We have derived the nonlinear function for the two cases: known and unknown fading variances. The new frequency estimators lead, in particular cases, to known ML frequency estimators for nonsparse multipath fading channels. The use of a priori information about the mean number of paths in the channel allows a significant improvement of the accuracy performance. Exploiting the sparseness of the channel impulse response is shown to significantly reduce the threshold signal-to-noise ratio at which the frequency error departs from the Cramer-Rao lower bound. However, precise knowledge of the channel sparseness is not required in order to realize this improvement.</subfield>
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  <datafield tag="653" ind1=" " ind2=" ">
   <subfield code="a">Cramer-Rao lower bound.</subfield>
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  <datafield tag="653" ind1=" " ind2=" ">
   <subfield code="a">Additive white Gaussian noise.</subfield>
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   <subfield code="a">Autocorrelation matrix.</subfield>
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   <subfield code="a">Channel estimation.</subfield>
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   <subfield code="a">Diagonal matrix.</subfield>
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  <datafield tag="653" ind1=" " ind2=" ">
   <subfield code="a">Frequency-estimation.</subfield>
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   <subfield code="a">Maximum likelihood estimation.</subfield>
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   <subfield code="a">Mobile channel.</subfield>
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  <datafield tag="653" ind1=" " ind2=" ">
   <subfield code="a">Multipath Rayleigh-sparse-fading channel.</subfield>
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   <subfield code="a">Nonlinear function.</subfield>
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   <subfield code="a">Pilot signal.</subfield>
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   <subfield code="a">Signal-to-noise ratio.</subfield>
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   <subfield code="a">Sparse impulse response.</subfield>
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  <datafield tag="773" ind1="0" ind2=" ">
   <subfield code="t">IEEE Transactions on wireless communications</subfield>
   <subfield code="g">3, 5 (2004).</subfield>
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   <subfield code="a">FO</subfield>
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   <subfield code="a">UPD</subfield>
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  <datafield tag="942" ind1=" " ind2=" ">
   <subfield code="a">Article</subfield>
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