ecen4763.notes.32

ecen4763.notes.32 - 11/5/2009 ECEN 4763: Introduction to...

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11/5/2009 1 ECEN 4763: Introduction to Digital Signal Processing Fall 2009 Lecture 32: Monday, November 2, 2009 1768 Auxerre, France Born March 21, 1768 Father was a tailor 9 th of 12 children École Royale Militaire of Auxerre
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11/5/2009 2 1787 Saint-Benoît-sur-Loire Abbey Fourier decides to train for the priesthood Enters the Saint- Benoît-sur-Loire Abbey “Yesterday was my 21 st birthday. At that age Newton and Pascal had already acquired many claims to immortality.”
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11/5/2009 3 1795 École Normale in Paris Fourier teaches College math at École Normale in Paris 1795 École Normale in Paris Fourier teaches College math at École Normale in Paris Trains under Laplace and Lagrange
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11/5/2009 4 1801-1810 Grenoble, France Fourier appointed the Prefect of Grenoble Writes seminal paper in 1807 Upset that Fourier didn’t credit Biot’s work Criticized Fourier’s derivation of heat equations French Academy of Sciences
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11/5/2009 5 Doubted that any function could be written as a combination of sines and cosines. French Academy of Sciences Lagrange, “The Nature and Propagation of Sounds,” 1759
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11/5/2009 6 “… the manner in which the author arrives at these equations is not exempt of difficulties and … his analysis to integrate them still leaves something to be desired [in] generality and even rigor…” Panel of Judges at the Paris Academy (1811) Early 1800’s
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ecen4763.notes.32 - 11/5/2009 ECEN 4763: Introduction to...

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