FUNCTIONS WITH SPLINE SPECTRA AND THEIR APPLICATIONS
In this paper, we introduce a family of real-valued functions which have spline spectra. They extend the well-known Sinc function and generally are the restrictions to the real line of analytic functions in a strip containing the real axis. We investigate various properties of these functions including those related to interpolation, orthogonality, and stability. Moreover, a sampling formula is provided for their construction and some applications for signal analysis are given.
analytic signal blaschke product nonlinear phase hilbert transform instantaneous frequency sampling theorem non-bandlimited signals multi-scale spectrum