A. I. Zayed, 1994, A Sampling Theorem for Signals Bandlimited to a General Domain in Several Dimensions, J. Math. Anal. App. 187, 196-211.Zayed A.A sampling theorem for signals band-limited to general domain in
An extension of Kramerʼs sampling theorem for not necessarily band-limited signals-the aliasing error Acta Sci. Math. (Szeged), 60 (1995), pp. 59-69 Google Scholar [4] P.L. Butzer, G. Schöttler Sampling theorems associated with fourth- and higher-order self-adjoint eigenvalue problem...
This paper proposes an interpolation method called the window function method in which the sampling theorem and the window functions are combined. The cause of the generation of the interpolation error is the folding distortion due to the multiplication of the time-limited window to the input ...
Sampling Theorem 主講者:虞台文 Content Periodic Sampling Sampling of Band-Limited Signals Aliasing --- Nyquist rate CFT vs. DTFT Reconstruction of Band-limited Signals Discrete-Time Processing of Continuous-Time Signals Continuous-Time Processing of Discrete-Time Signals Changing Sampling Rate Realistic ...
In this paper we consider the Associated Legendre Polynomials and generalized Prolate Spheroidal wave functions which are band-limited in L 2(–1, 1). In each case, the set of time functions obtained as inverse Fourier-Transform have series form and form an orthogonal set for both the cases....
Sampling Theorem 原始字幕仅供学习 [图片] To simplify our understanding of the conversion from analog to digital signals, we’ll start from the simplest periodic analog signal, the humble sine wave. We had previously derived the sine wave function, and it
For any Gaussian signal and every given sampling frequency we prove an asymptotic property of type Shannon’s sampling theorem, based on normalized cardinal sines, which keeps constant the sampling frequency. We generalize the Shannon’s sampling theorem for a class of non band–limited signals whic...
Sampling Theorem in Signals and Systems - Explore the Sampling Theorem in Signals and Systems. Understand its significance, applications, and mathematical foundations for effective signal processing.
For signals that are not band limited, or signals that aren’t sampled at a sufficiently high sampling rate for their frequency content, the process described earlier will reconstruct a function that is different from the original signal. Recall that the Fourier transform of a shah function Ⅲ_...
A tempered distribution f ∈S′ (R n ) is said to be band-limited to G if the support of the Fourier transform of f is contained in G. In several aspects of the harmonic approximation for functions defined on R n , functions which are band-limited to G play a basic role as ...