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        <identifier>oai:www.ideals.illinois.edu:2142/22238</identifier>
        <datestamp>2023-07-10</datestamp>
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          <dc:creator>Haken, Lippold</dc:creator>
          <dc:date>2011-05-07T13:33:29Z</dc:date>
          <dc:date>2011-05-07T13:33:29Z</dc:date>
          <dc:date>10000-01-01</dc:date>
          <dc:date>1990</dc:date>
          <dc:description>In Fourier synthesis, natural musical sounds are produced by summing time-varying sinusoids. Sounds are analyzed to find the amplitude and frequency characteristics for their sinusoids; interpolation between the characteristics of several sounds is used to produce intermediate timbres. An ensemble can be synthesized by summing all the sinusoids for several sounds, but in practice it is difficult to perform such computations in real time. To solve this problem on inexpensive hardware, it is useful to take advantage of the masking effects of the auditory system. By avoiding the computations for perceptually unimportant sinusoids, and by employing other computation reduction techniques, a large ensemble may be synthesized in real time on the Platypus signal processor. Unlike existing computation reduction techniques, the techniques described in this thesis do not sacrifice independent fine control over the amplitude and frequency characteristics of each sinusoid.</dc:description>
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  Previous issue date: 1990</dc:description>
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          <dc:identifier>AAI9109708</dc:identifier>
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          <dc:identifier>http://hdl.handle.net/2142/22238</dc:identifier>
          <dc:language>eng</dc:language>
          <dc:rights>Copyright 1990 Haken, Lippold</dc:rights>
          <dc:subject>Music</dc:subject>
          <dc:subject>Engineering, Electronics and Electrical</dc:subject>
          <dc:subject>Physics, Acoustics</dc:subject>
          <dc:title>Real-time Fourier synthesis of ensembles with timbral interpolation</dc:title>
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            <department>Electrical and Computer Engineering</department>
            <discipline>Electrical and Computer Engineering</discipline>
            <grantor>University of Illinois at Urbana-Champaign</grantor>
            <level>Dissertation</level>
            <name>Ph.D.</name>
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