1 Excerpt

- Published 2009 in ArXiv

This paper presents an approach for the development of a number theoretic discrete Hilbert transform. The forward transformation has been applied by taking the odd reciprocals that occur in the DHT matrix with respect to a power of 2. Specifically, the expression for a 16-point transform is provided and results of a few representative signals are provided. The inverse transform is the inverse of the forward 16-point matrix. But at this time the inverse transform is not identical to the forward transform and, therefore, our proposed number theoretic transform must be taken as a provisional result.

@article{Kandregula2009TowardsAN,
title={Towards a Number Theoretic Discrete Hilbert Transform},
author={Renuka Kandregula},
journal={CoRR},
year={2009},
volume={abs/0911.2466}
}