The Number Theoretic Hilbert Transform

Subhash Kak

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arXiv · 1308.1688

The Number Theoretic Hilbert Transform

Subhash Kak

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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.

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Subhash Kak. 2013-08-05. The Number Theoretic Hilbert Transform. https://arxiv.org/abs/1308.1688

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