Sampling bessel functions and bessel sampling

Maširević, Dragana Jankov; Pogány, Tibor K.; Bariez, Arpad; Galántai, Aurél

doi:10.1109/saci.2013.6608942

Cited by 6 publications

(5 citation statements)

References 29 publications

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“…where m h � (πV h /V π ), and V h and V π are the RF drive signal voltage and DML half-wave voltage, respectively. J is the first kind Bessel function [36]. e function image is shown in Figure 6.…”

Section: Ssb and Dsb Vector Signals Generation Based On Dmlmentioning

confidence: 99%

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Review on the Millimeter-Wave Generation Techniques Based on Photon Assisted for the RoF Network System

Xiao

Zhao

Feng

et al. 2020

Advances in Condensed Matter Physics

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With the development trend of wireless and broadband in the communication link and even the whole information industry, the demand of high-frequency microwave bandwidth has been increasing. The RoF network system solves the problem of spectrum congestion in low-frequency band by providing an effective technology for the distribution of high-frequency microwave signals over optical fiber links. However, the traditional mm-wave generation technique is limited by the bandwidth of electronic devices. It is difficult to generate high-frequency and low-phase noise mm-wave signals with pure electrical components. The mm-wave communication technology based on photon assisted can overcome the bandwidth bottleneck of electronic devices and provide the potential for developing the low-cost infrastructure demand of broadband mobile services. This paper will briefly explain the characteristics of the RoF network system and the advantages of high-frequency mm-wave. Then we, respectively, introduce the modulation schemes of RoF mm-wave generation based on photon assisted including directly modulated laser (DML), external modulation, and optical heterodyne. The review mainly focuses on a variety of different mm-wave generation technologies including multifrequency vector mm-wave. Furthermore, we list several approaches to realize the large capacity data transmission techniques and describe the digital signal processing (DSP) algorithm flow in the receiver. In the end, we summarize the RoF network system and look forward to the future.

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Section: Ssb and Dsb Vector Signals Generation Based On Dmlmentioning

confidence: 99%

“…Vector millimeter-wave signals with carrier suppression can be generated by a dual-arm Mach-Zehnder modulator [30][31][32][33][34][35][36][37], and the schematic diagram is shown in Figure 7.…”

Section: Vector Signals Generation Based On External Modulationmentioning

confidence: 99%

Review on the Millimeter-Wave Generation Techniques Based on Photon Assisted for the RoF Network System

Xiao

Zhao

Feng

et al. 2020

Advances in Condensed Matter Physics

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“…, which immediately gives the desired summation formula (12). Here, we also assumed that ν = 0, because Γ(0) = (−1)!…”

Section: I-bessel Sampling Expansions and Sturm-liouville Differentiamentioning

confidence: 99%

“…The results about truncation error upper bounds for J-Bessel sampling for the bandlimited Hankel transform can be found in [8,31]. Recent progress was also made by Knockaert [16] with respect to the J-Bessel truncation procedure and Jankov Maširević et al [12] in the case of Y -Bessel sampling. Thus, the last section is devoted to establishing sharp truncation error upper bounds for a newly derived truncated sampling series of modified Bessel functions I ν .…”

Section: Introductionmentioning

confidence: 97%

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Sturm–Liouville Problem and I–Bessel Sampling

Maširević¹

2015

APH

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Abstract:The main aim of this article is to establish summation formulae in form of the sampling expansion series building the kernel function by the samples of the modified Bessel function of the first kind I ν , and to obtain a sharp truncation error upper bound occurring in the derived sampling series approximation. Summation formulae for functions I ν+1 /I ν , 1/I ν , I 2 ν and the generalized hypergeometric function 2 F 3 are derived as a by-product of these results. The main derivation tools are the Sturm-Liouville boundary value problem and various properties of Bessel and modified Bessel functions.Keywords: Bessel function of the first kind J ν , modified Bessel function of the first kind I ν , sampling series expansions, Sturm-Liouville boundary value problems, generalized hypergeometric function 2 F 3 , Fox-Wright generalized hypergeometric function p Ψ * q , sampling series truncation error upper bound.

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