## 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:

- 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}

}

Free Publicly Available Full Text

Publisher's Version of Record

Other availability

Save to My Library

You must Sign In or Create an Account in order to save documents to your library.