Signal Extrapolation from Hartley Transform Magnitudes

A novel approach to the problem of signal extrapolation
from its Hartley transform magnitudes is presented. Using a
newly defined function, it is proved that using only one
known sample and the associated Hartley transform magnitudes
a finite extended signal can be completely reconstructed.
An algorithm for signal reconstruction from
short-time Hartley transform (STHT) magnitudes with
minimal window overlap can consequently be derived.