Topic
Bessel filter
About: Bessel filter is a research topic. Over the lifetime, 656 publications have been published within this topic receiving 16808 citations.
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TL;DR: In this article, a new mathematical identity is proposed to describe narrow band phase modulation and other similar physical problems instead of using the Bessel function, leading to simpler analysis of such physical behavior.
Abstract: A new mathematical identity is suggested to describe narrow band phase modulation and other similar physical problems instead of using the Bessel function. Bessel functions are extensively used in mathematical physics [1,2], electromagnetic wave propagation and scattering [3,4], and communication system theory [3,5,6]. Such phenomena must often be approximated by appropriate formulas since there is no closed form solution or expression, which usually leads to complex mathematical solutions [5,7]. Comparisons are made between the exact solution numerically calculated and graphed with the new mathematical identities’ prediction of phase modulation behavior. The proposed mathematical identity matches the results very well, leading to simpler analysis of such physical behavior.
1 citations
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12 Mar 2013TL;DR: In this article, the effect of pulse shaping QPSK on bandwidth efficiency over a non-linear channel was investigated using software simulations and the hardware implementation, and a significant improvement in the bandwidth utilization for the filtered data compared to unfiltered data through the nonlinear channel is shown in the results.
Abstract: This research investigates the effect of pulse shaping QPSK on bandwidth efficiency over a non-linear channel. This investigation will include software simulations and the hardware implementation. Three kinds of filters: the 5th order Butterworth filter, the 3rd order Bessel filter and the Square Root Raised Cosine filter with a roll off factor (alpha) of 0.25,0.5 and 1, have been investigated as pulse shaping filters. Two different high power amplifiers, one a Traveling Wave Tube Amplifier (TWTA) and the other a Solid State Power Amplifier (SSPA) have been investigated in the hardware implementation. A significant improvement in the bandwidth utilization (rho) for the filtered data compared to unfiltered data through the non-linear channel is shown in the results. This method promises strong performance gains in a bandlimited channel when compared to unfiltered systems. This work was conducted at NMSU in the Center for Space Telemetering, and Telecommunications Systems in the Klipsch School of Electrical and Computer Engineering Department and is supported by a grant from the National Aeronautics and Space Administration (NASA) NAG5-1491.
1 citations
1 citations
01 Jan 2013
TL;DR: In this paper, a generalization of Theorem 2.2 in (3) for the Bessel transform for functions satisfying the ( ;; )-Bessel Lipschitz condition in the space L 2; (R + ).
Abstract: Using a Bessel translation operator, we obtain a generalization of Theorem 2.2 in (3) for the Bessel transform for functions satisfying the ( ;; )- Bessel Lipschitz condition in the space L2; (R + ).
1 citations
09 Dec 2010
TL;DR: In this article, the authors prove two fundamental theorems for an edge detection algorithm based on a Bessel filter, which are the bases of a scale invariant feature extraction method in which extracted features are indepedent of scale.
Abstract: In this technical report, we prove two fundamental theorems for an edge detection algorithm based on a Bessel filter. These theorems are bases of a scale invariant feature extraction method in which extracted features are indepedent of scale.
1 citations