Title :
Extension of the sampling theorem to exponentially decaying causal functions
Author :
Benvenuto, N. ; Pierobon, G.L.
Author_Institution :
Dipartimento di Elettronica e Autom., Ancona Univ., Italy
fDate :
1/1/1991 12:00:00 AM
Abstract :
A simple extension of the sampling theorem to nonbandlimited exponentially decaying functions is reported. After an immediate transformation, logarithmically spaced samples are used to reconstruct the original function. One of the most interesting properties of this method is that it enables measuring the time delay introduced by narrowband systems very accurately
Keywords :
information theory; Shannon theory; exponentially decaying causal functions; information theory; logarithmically spaced samples; narrowband systems; nonbandlimited functions; sampling theorem; time delay; Convolution; Delay effects; Equations; Fourier series; Frequency; Narrowband; Sampling methods; Signal sampling; Time measurement; Writing;
Journal_Title :
Signal Processing, IEEE Transactions on
