Topic
Bessel filter
About: Bessel filter is a research topic. Over the lifetime, 656 publications have been published within this topic receiving 16808 citations.
Papers published on a yearly basis
Papers
More filters
TL;DR: In this paper, the stability and approximation properties of transfer functions of generalized Bessel polynomials (GBP) are investigated and sufficient conditions are established for the GBP to be Hurwitz.
Abstract: The stability and approximation properties of transfer functions of generalized Bessel polynomials (GBP) are investigated. Sufficient conditions are established for the GBP to be Hurwitz. It is shown that the Pade approximants of e^{-s} are related to the GBP. An infinite subset of stable Pade functions useful for approximating a constant time delay is defined and its approximation properties examined. The low-pass Pade functions are compared with an approximating function suggested by Budak. Basic limitations of Budak's approximation are derived.
27 citations
TL;DR: By designing and optimizing complex phase pattern combining with axicon phase distribution, data multicasting from a single Gaussian mode to multiple Bessel modes using a single phase-only spatial light modulator is reported.
Abstract: By designing and optimizing complex phase pattern combining with axicon phase distribution, we report data multicasting from a single Gaussian mode to multiple Bessel modes using a single phase-only spatial light modulator. Under the obstructed path conditions, obstruction-free data-carrying N-fold Bessel modes multicasting is demonstrated in the experiment. We also experimentally study N-fold multicasting of a 20 Gbit/s quadrature phase-shift keying signal from a single Gaussian mode to multiple Bessel modes and measure the link performance. All the multicasted Bessel modes show relatively low crosstalk from their neighboring modes and achieve a bit-error rate of less than 1e-3.
26 citations
TL;DR: In this paper, the authors derived new approximate solutions to the 0th-and 1st-order Bessel functions of the first kind based on using a new integral with no previously known solution.
Abstract: New approximate solutions to the 0th- and 1st order Bessel functions of the first kind are derived. The formulations are based upon using a new integral with no previously known solution. The new integral in the limiting case is identical to the 0th-order Bessel function integral. It is solved in closed form, and the solution is expressed as a simple even order polynomial with integer coefficients. The polynomial coefficients are all of integer value. The 1st-order Bessel function approximation can then be found through a simple derivative. Comparisons are made between the exact solution, classic solutions, and the new approximation. The new approximation proves to be much more accurate than the classic small argument approximation. It is also sufficiently accurate to bridge the gap between the classic large and small argument approximations and has potential applications in allowing one to analytically evaluate integrals containing Bessel functions. >
26 citations
TL;DR: In this paper, higher order numerical quadratures for the integration of systems containing Bessel functions are presented. But they are based on a truncation of the asymptotic series and extend an approach in the work of Levin.
26 citations
TL;DR: This paper introduces a basis for the algebra of functions on the fuzzy disc in terms of the eigenfunctions of a properly defined fuzzy laplacian, thus deserving the name of fuzzy Bessel functions.
Abstract: The fuzzy disc is a matrix approximation of the functions on a disc which preserves rotational symmetry. In this paper we introduce a basis for the algebra of functions on the fuzzy disc in terms of the eigenfunctions of a properly defined fuzzy laplacian. In the commutative limit they tend to the eigenfunctions of the ordinary laplacian on the disc, i.e. Bessel functions of the first kind, thus deserving the name of fuzzy Bessel functions.
26 citations