K S Krishnan discovered in 1948 that the sum over samples of a band-limited function gives the value of the integral of the function exactly, provided the sampling interval does not exceed a threshold value. This result of Krishnan is shown to be equivalent to the Shannon sampling theorem
Graduation date: 1967The relation of the sampling theorem, developed by Shannon\ud for Information T...
Vladimir Aleksandrovich Kotelnikov published a version of the sampling theorem in 1933, in the proce...
The Shannon Sampling Theorem states that if a signal f(t) contains no frequencies greater than W2 cy...
K S Krishnan discovered in 1948 that the sum over samples of a band-limited function gives the value...
Krishnan loved mathematics and those who knew him had great respect and even awe for his skill as a...
73 pages, 4 figures.Sampling Theory deals with the reconstruction of functions (signals) through the...
Sampling and reconstruction of functions is a central tool in science. A key result is given by the ...
In contrast to the classical Shannon sampling theorem, signal functions are considered which are not...
The classical Shannon sampling theorem is concerned with the representation of bandlimited signal fu...
The sampling theorem is a notion linking continuous and discrete signals. Due to that, it is a very ...
The definition of band-limited functions (and random processes) is extended to include functions and...
Sampling Theory is the branch of mathematics that seeks to reconstruct functions from knowledge of t...
Sampling and reconstruction of functions is a fundamental tool in science. We develop an analogous s...
AbstractApplying the theory of generalized functions we obtain the Shannon sampling theorem for enti...
The Shannon sampling theory of signal analysis, which can be established by methods of Fourier analy...
Graduation date: 1967The relation of the sampling theorem, developed by Shannon\ud for Information T...
Vladimir Aleksandrovich Kotelnikov published a version of the sampling theorem in 1933, in the proce...
The Shannon Sampling Theorem states that if a signal f(t) contains no frequencies greater than W2 cy...
K S Krishnan discovered in 1948 that the sum over samples of a band-limited function gives the value...
Krishnan loved mathematics and those who knew him had great respect and even awe for his skill as a...
73 pages, 4 figures.Sampling Theory deals with the reconstruction of functions (signals) through the...
Sampling and reconstruction of functions is a central tool in science. A key result is given by the ...
In contrast to the classical Shannon sampling theorem, signal functions are considered which are not...
The classical Shannon sampling theorem is concerned with the representation of bandlimited signal fu...
The sampling theorem is a notion linking continuous and discrete signals. Due to that, it is a very ...
The definition of band-limited functions (and random processes) is extended to include functions and...
Sampling Theory is the branch of mathematics that seeks to reconstruct functions from knowledge of t...
Sampling and reconstruction of functions is a fundamental tool in science. We develop an analogous s...
AbstractApplying the theory of generalized functions we obtain the Shannon sampling theorem for enti...
The Shannon sampling theory of signal analysis, which can be established by methods of Fourier analy...
Graduation date: 1967The relation of the sampling theorem, developed by Shannon\ud for Information T...
Vladimir Aleksandrovich Kotelnikov published a version of the sampling theorem in 1933, in the proce...
The Shannon Sampling Theorem states that if a signal f(t) contains no frequencies greater than W2 cy...
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