Pseudo-Hadamard Transform

Makoto SATO

Pseudo-Hadamard Transform

Makoto SATO

Full Text Views

0

Cite this

Summary :

A new transform of trinary vectors, called pseudo-Hadamard transform, is introduced. This transform is a one-to-one mapping in a trinary vector space and very similar to the Hadamard transform. To define the pseudo-Hadamard transform, the Good's formula for the fast Hadamard transform H_N of N(=2ⁿ) dimension H_N=T_nT_n1T₁ is used, where the transform T_i(i=1,2,,n) consists of N additions and subtractions. The pseudo-Hadamard transform is defined by replacing the additions and the subtractions with kinds of trinary operations. This transform preserves some properties of the Hadamard transform and is also very easy to perform. As applications of the pseudo-Hadamard transform, examples of binary image processing are presented.

Publication: IEICE TRANSACTIONS on transactions Vol.E69-E No.4 pp.544-548

Publication Date: 1986/04/25

Publicized

Online ISSN

DOI

Type of Manuscript: PAPER

Category: Algorithm, Computational Complexity

Authors

Makoto SATO

Keyword

Cite this

Copy

Makoto SATO, "Pseudo-Hadamard Transform" in IEICE TRANSACTIONS on transactions, vol. E69-E, no. 4, pp. 544-548, April 1986, doi: .
Abstract: A new transform of trinary vectors, called pseudo-Hadamard transform, is introduced. This transform is a one-to-one mapping in a trinary vector space and very similar to the Hadamard transform. To define the pseudo-Hadamard transform, the Good's formula for the fast Hadamard transform H_N of N(=2ⁿ) dimension H_N=T_nT_n1T₁ is used, where the transform T_i(i=1,2,,n) consists of N additions and subtractions. The pseudo-Hadamard transform is defined by replacing the additions and the subtractions with kinds of trinary operations. This transform preserves some properties of the Hadamard transform and is also very easy to perform. As applications of the pseudo-Hadamard transform, examples of binary image processing are presented.
URL: https://global.ieice.org/en_transactions/transactions/10.1587/e69-e_4_544/_p

Copy

@ARTICLE{e69-e_4_544,
author={Makoto SATO, },
journal={IEICE TRANSACTIONS on transactions},
title={Pseudo-Hadamard Transform},
year={1986},
volume={E69-E},
number={4},
pages={544-548},
abstract={A new transform of trinary vectors, called pseudo-Hadamard transform, is introduced. This transform is a one-to-one mapping in a trinary vector space and very similar to the Hadamard transform. To define the pseudo-Hadamard transform, the Good's formula for the fast Hadamard transform H_N of N(=2ⁿ) dimension H_N=T_nT_n1T₁ is used, where the transform T_i(i=1,2,,n) consists of N additions and subtractions. The pseudo-Hadamard transform is defined by replacing the additions and the subtractions with kinds of trinary operations. This transform preserves some properties of the Hadamard transform and is also very easy to perform. As applications of the pseudo-Hadamard transform, examples of binary image processing are presented.},
keywords={},
doi={},
ISSN={},
month={April},}

Copy

TY - JOUR
TI - Pseudo-Hadamard Transform
T2 - IEICE TRANSACTIONS on transactions
SP - 544
EP - 548
AU - Makoto SATO
PY - 1986
DO -
JO - IEICE TRANSACTIONS on transactions
SN -
VL - E69-E
IS - 4
JA - IEICE TRANSACTIONS on transactions
Y1 - April 1986
AB - A new transform of trinary vectors, called pseudo-Hadamard transform, is introduced. This transform is a one-to-one mapping in a trinary vector space and very similar to the Hadamard transform. To define the pseudo-Hadamard transform, the Good's formula for the fast Hadamard transform H_N of N(=2ⁿ) dimension H_N=T_nT_n1T₁ is used, where the transform T_i(i=1,2,,n) consists of N additions and subtractions. The pseudo-Hadamard transform is defined by replacing the additions and the subtractions with kinds of trinary operations. This transform preserves some properties of the Hadamard transform and is also very easy to perform. As applications of the pseudo-Hadamard transform, examples of binary image processing are presented.
ER -