Shannon gave the sampling theorem about the band limited functions in 1948, but the Shannon's theorem cannot adapt to the need of modern high technology. This paper gives a new high speed sampling theorem which ...Shannon gave the sampling theorem about the band limited functions in 1948, but the Shannon's theorem cannot adapt to the need of modern high technology. This paper gives a new high speed sampling theorem which has a fast convergence rate, a high precision, and a simple algorithm. A practical example has been used to verify its efficiency.展开更多
The truncation error associated with a given sampling representation is defined as the difference between the signal and on approximating sumutilizing a finite number of terms. In this paper we give uniform bound for ...The truncation error associated with a given sampling representation is defined as the difference between the signal and on approximating sumutilizing a finite number of terms. In this paper we give uniform bound for truncation error of bandlimited functions in the n dimensional Lebesgue space Lp(Rn) associated with multidimensional Shannon sampling representation.展开更多
文摘Shannon gave the sampling theorem about the band limited functions in 1948, but the Shannon's theorem cannot adapt to the need of modern high technology. This paper gives a new high speed sampling theorem which has a fast convergence rate, a high precision, and a simple algorithm. A practical example has been used to verify its efficiency.
基金Projcct supported by the Natural Science Foundation of China (Grant No. 10371009 ) of Beijing Educational Committee (No. 2002KJ112).
文摘The truncation error associated with a given sampling representation is defined as the difference between the signal and on approximating sumutilizing a finite number of terms. In this paper we give uniform bound for truncation error of bandlimited functions in the n dimensional Lebesgue space Lp(Rn) associated with multidimensional Shannon sampling representation.
