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Hadamard and Other Discrete Transforms in Spectroscopy

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Fourier, Hadamard, and Hilbert Transforms in Chemistry

Abstract

This paper is an introduction to the use of Hadamard and other matrices for increasing the accuracy to which the spectrum of a beam of light can be measured. In the most favorable case if the spectrum has n components the mean squared error in each component is reduced by a factor of n/4. These schemes have the additional merit that the instrumentation required is relatively simple.

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Author information

Authors and Affiliations

  1. Mathematics and Statistics Research Center, Bell Laboratories, Murray Hill, NJ, 07974, USA

    N. J. A. Sloane

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  1. N. J. A. Sloane
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Editors and Affiliations

  1. The Ohio State University, Columbus, Ohio, USA

    Alan G. Marshall

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© 1982 Springer Science+Business Media New York

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Sloane, N.J.A. (1982). Hadamard and Other Discrete Transforms in Spectroscopy. In: Marshall, A.G. (eds) Fourier, Hadamard, and Hilbert Transforms in Chemistry. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-0336-5_2

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  • DOI: https://doi.org/10.1007/978-1-4899-0336-5_2

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4899-0338-9

  • Online ISBN: 978-1-4899-0336-5

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