Abstract
THIS article suggests that Walsh functions1–3 might be used in transform Spectroscopy4–6 to replace the sinusoidal functions appearing in the Fourier transform. We think this might be the case because Walsh functions are a complete orthonormal set, and therefore give rise to an integral transform of Fourier type; and they take only the values + 1 and − 1 and are therefore likely to be well suited to the binary digital computer.
This is a preview of subscription content, access via your institution
Access options
Subscribe to this journal
Receive 51 print issues and online access
$199.00 per year
only $3.90 per issue
Buy this article
- Purchase on Springer Link
- Instant access to full article PDF
Prices may be subject to local taxes which are calculated during checkout
Similar content being viewed by others
References
Walsh, J. L., Amer. J. Math., 55, 8 (1923).
Fine, N. J., Walsh Functions, Encyclopaedic Dictionary of Physics (Pergamon Press, Oxford, to be published).
Harmuth, H. F., Transmission of Information by Orthogonal Functions (Springer, Berlin, 1969).
Connes, J., Rev. Opt., 40, 45, 116, 171, 231 (1961).
Gebbie, H. A., Advances in Quantum Electronics (edit. by Singer, J. R.), 155 (Columbia Univ. Press, 1961).
Gebbie, H. A., and Twiss, R. Q., Rep. Phys. Soc. Prog. Phys., 29, Pt. II, 729 (1966).
Gentleman, W. M., and Sande, G., Proc. Fall Joint Computer Conf., 563 (1966).
Cooley, J. W., and Tukey, J. W., Math. Comput., 19, 297 (1965).
Bogert, B. P., et al., IEEE Trans., AU-15, 43 (1967).
Polyak, B. T., and Schreider, Yu. A., Voprosy Teor. Matem. Mashin, 174 (1962).
Ito, T., Information and Control, 12, 206 (1968).
Meltzer, B., Searle, N. H., and Brown, R., Nature, 216, 32 (1967).
Pratt, W. K., Kane, J., and Andrews, H. C., Proc. IEEE, 57, 58 (1969).
Weiss, P., Arch. Elek. U., 21, 255 (1967).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
GIBBS, J., GEBBIE, H. Application of Walsh Functions to Transform Spectroscopy. Nature 224, 1012–1013 (1969). https://doi.org/10.1038/2241012a0
Received:
Issue Date:
DOI: https://doi.org/10.1038/2241012a0
This article is cited by
-
The fast Fourier transform in computational physics (review)
Radiophysics and Quantum Electronics (1976)
Comments
By submitting a comment you agree to abide by our Terms and Community Guidelines. If you find something abusive or that does not comply with our terms or guidelines please flag it as inappropriate.
