A Converse to the Sampling Theorem

• Various forms of the sampling theorem assure that any signal x(t) which satisfies a certain bandwidth limitation can be uniquely reconstructed from its values at equally spaced sample points. Inherent in all these results is that the reconstruction is invariant under timeshifts. Our present result is that if such a time shift invariance is required, a certain bandwidth limitation is not only a sufficient but also a necessary condition for reconstruction of a signal from its sample values.

Subject headings

TEKNIK OCH TEKNOLOGIER  -- Elektroteknik och elektronik -- Signalbehandling (hsv//swe)

ENGINEERING AND TECHNOLOGY  -- Electrical Engineering, Electronic Engineering, Information Engineering -- Signal Processing (hsv//eng)

Publication and Content Type

vet (subject category)

rap (subject category)