Walsh Summing and Differencing Transforms

Journal Article · 01 May 1974 · IEEE Transactions on Electromagnetic Compatibility

DOI: https://doi.org/10.1109/TEMC.1974.303343 · OSTI ID:1442885

Henderson, Keith ^[1]

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1. SLAC National Accelerator Lab., Menlo Park, CA (United States)

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.

• Research Organization: SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)
• Sponsoring Organization: USDOE Office of Science (SC)
• Grant/Contract Number: AC02-76SF00515
• OSTI ID: 1442885
• Report Number(s): SLAC-PUB--1276
• Journal Information: IEEE Transactions on Electromagnetic Compatibility, Journal Name: IEEE Transactions on Electromagnetic Compatibility Journal Issue: 2 Vol. EMC-16; ISSN 0018-9375
• Publisher: IEEECopyright Statement
• Country of Publication: United States
• Language: English