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A new table of Hilbert transforms was prepared and published by Alavi-Sereshki and Prabhakar (see ibid., vol.COM-20, no.6, p.1194, 1972). During preparation, it was found that some formulas in the above paper were in error. Therefore, the tables in that should be used with great care. Correct Hilbert transform pairs are presented by Hahn (1996). The Hilbert transform of an amplitude-modulated signal, given in the above paper, as the infinite sum of quotients of integrals, is derived in compact form.
Date of Publication: July 1996