Hilbert transformation for discrete data
Subhash C. Kak · International Journal of Electronics · 1973
Hilbert transforms are useful in a variety of applications. In order to use digital techniques in these applications, when the input is a digital sequence, a procedure directly yielding a digital sequence for the Hilbert transform would be necessary. Such a procedure is presented in this paper. The transformed sequence is, however, infinitely long and so the computation required for the inverse operation can be very tedious. To overcome this the input sequence is assumed to be periodic, which yields a finite transformed sequence. Also presented are much simplified, though approximate, versions of this last transformation.