%0 Journal Article
%T Towards a Number Theoretic Discrete Hilbert Transform
%A Renuka Kandregula
%J Computer Science
%D 2009
%I arXiv
%X 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.
%U http://arxiv.org/abs/0911.2466v1