Title :
Walsh Summing and Differencing Transforms
Author :
Henderson, Keith W.
Author_Institution :
Stanford Linear Accelerator Center, Stanford University, Stanford, Calif.
fDate :
5/1/1974 12:00:00 AM
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.
Keywords :
Discrete Fourier transforms; Discrete transforms; Fourier transforms; Frequency; Linear accelerators; Matrices;
Journal_Title :
Electromagnetic Compatibility, IEEE Transactions on
DOI :
10.1109/TEMC.1974.303343
