Sampling theoremBand-limited signalThe linear canonical transform(LCT) has become a very active area in signal processing community in recent years, with many applications in optics, radar system analysis, filter design, phase retrieval, pattern recognition, etc. Many well-...
The sampling theorem for bandlimited signals of finite energy can be interpreted in two ways, associated with the names of Nyquist and Shannon. 1) Every signal of finite energy and bandwidth W Hz may be completely recovered, in a simple way, from a knowledge of its samples taken at the rat...
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
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 ...
The Shannon sampling theorem—its various extensions and applications: a tutorial review Proc. IEEE, 65 (11) (1977), pp. 1565-1596 View in ScopusGoogle Scholar [2] M. Unser Sampling—50 years after Shannon Proc. IEEE, 88 (4) (2000), pp. 569-587 View in ScopusGoogle Scholar [3] C...
The sampling theorem for functions with limited multi-band spectrum. I Zeitschr. für Anal. und ihre Anwendungen (1993) BrownJ.L. Sampling expansions form ulti-band signals,Ieee Trans. Acoustics Speech and Signal Processing (1985) ButzerP.L. et al. The sampling theorem and linear prediction...
Shannon's Sampling Theorem for Bandlimited Signals and Their Hilbert Transform, Boas-Type Formulae for Higher Order Derivatives—The Aliasing Error Involve... The paper is concerned with Shannon sampling reconstruction formulae of derivatives of bandlimited signals as well as of derivatives of their Hi...
Magnitude of the truncation error in sampling expansions of band-limited signals Bounds are established for the truncation error in the sampling theorem for signals with radian bandwidth 蟺W, W > 0. The assumptions are either differenfi... ...
While the Shannon sampling theorem is based on band-limited signals, it is natural to investigate other signal classes for which a sampling theorem holds. In the classical Shannon sampling theorem, the interpolant is the modulated sinc function. the sinc function also plays a role of a special ...