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Title: Walsh Summing and Differencing Transforms

Abstract

Analogous to Fourier frequency transforms of the integration and differentiation of a continuous-time function, Walsh sequency transforms of the summing and differencing of an arbitrary discrete-time function have been derived. These transforms can be represented numerically in the form of matrices of simple recursive structure. The matrices are not orthogonal, but they are the inverse of each other, and the value of their determinants is one.

Authors:
 [1]
  1. SLAC National Accelerator Lab., Menlo Park, CA (United States)
Publication Date:
Research Org.:
SLAC National Accelerator Lab., Menlo Park, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1442885
Report Number(s):
SLAC-PUB-1276
Journal ID: ISSN 0018-9375
Grant/Contract Number:  
AC02-76SF00515
Resource Type:
Accepted Manuscript
Journal Name:
IEEE Transactions on Electromagnetic Compatibility
Additional Journal Information:
Journal Volume: EMC-16; Journal Issue: 2; Journal ID: ISSN 0018-9375
Publisher:
IEEE
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS

Citation Formats

Henderson, Keith. Walsh Summing and Differencing Transforms. United States: N. p., 1974. Web. doi:10.1109/TEMC.1974.303343.
Henderson, Keith. Walsh Summing and Differencing Transforms. United States. doi:10.1109/TEMC.1974.303343.
Henderson, Keith. Wed . "Walsh Summing and Differencing Transforms". United States. doi:10.1109/TEMC.1974.303343. https://www.osti.gov/servlets/purl/1442885.
@article{osti_1442885,
title = {Walsh Summing and Differencing Transforms},
author = {Henderson, Keith},
abstractNote = {Analogous to Fourier frequency transforms of the integration and differentiation of a continuous-time function, Walsh sequency transforms of the summing and differencing of an arbitrary discrete-time function have been derived. These transforms can be represented numerically in the form of matrices of simple recursive structure. The matrices are not orthogonal, but they are the inverse of each other, and the value of their determinants is one.},
doi = {10.1109/TEMC.1974.303343},
journal = {IEEE Transactions on Electromagnetic Compatibility},
number = 2,
volume = EMC-16,
place = {United States},
year = {1974},
month = {5}
}

Journal Article:
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