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.
This paper presents a new discrete Hilbert transform (DHT) based measure of
randomness for discrete sequences. The measure has been used to test three
different classes of sequences with satisfactory results.