The Number Theoretic Hilbert Transform
Cryptography and Security
2014-08-18 v1 Information Theory
math.IT
Number Theory
Abstract
This paper presents a general expression for a number-theoretic Hilbert transform (NHT). The transformations preserve the circulant nature of the discrete Hilbert transform (DHT) matrix together with alternating values in each row being zero and non-zero. Specific examples for 4-point, 6-point, and 8-point NHT are provided. The NHT transformation can be used as a primitive to create cryptographically useful scrambling transformations.
Keywords
Cite
@article{arxiv.1308.1688,
title = {The Number Theoretic Hilbert Transform},
author = {Subhash Kak},
journal= {arXiv preprint arXiv:1308.1688},
year = {2014}
}
Comments
11 pages