抄録
The use of Hilbert transform is essential when we are dealing with bandwidth limited signals and causal functions. However, the Hilbert transform is originally defined for functions of continuous arguments and is not of immediate use for discrete (sampled) functions which are the common form of data today. In this paper we propose two kinds of 'discrete Hilbert transforms'; one is defined on the discrete time domain and the other on the frequency domain of sampled functions. It will be shown that the essential properties of the conventional Hilbert transform are conserved in the new definitions.
