Time-frequency analysis: theory and applications
Time-frequency analysis: theory and applications
Characterization of analytic phase signals
Computers & Mathematics with Applications
On instantaneous amplitude and phase of signals
IEEE Transactions on Signal Processing
Efficient time and frequency methods for sampling filter functions
ICISP'10 Proceedings of the 4th international conference on Image and signal processing
B-splines of Blaschke product type
Computers & Mathematics with Applications
Journal of Approximation Theory
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A ladder shaped filter of two real parameters a"1,a"2@?(-1,1) is introduced in this note. The impulse response of the corresponding Linear Time Invariant (LTI) system is a generalized Sinc function of two parameters. Consequently a generalized Shannon-type sampling theorem is established for a class of non-bandlimited signals with special spectrum properties associated with a ladder shaped filter of two parameters. Finally, a mathematical characterization for the class of non-bandlimited signals satisfying the generalized sampling theorem is offered. These signals are restrictions to the real line of certain analytic functions in stripped domains symmetric about the real axis in the complex plane. For these signals, their spectra in higher frequency bands are measured by the spectrum of their base bands.