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Journal articles on the topic 'Timing jitter'

Author: Grafiati

Published: 4 June 2021

Last updated: 25 May 2024

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1

Chin, J., and A. Cantoni. "Phase jitter/spl equiv/timing jitter?" IEEE Communications Letters 2, no. 2 (February 1998): 54–56. http://dx.doi.org/10.1109/4234.660802.

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2

Horiuchi, Noriaki. "Ultralow timing jitter." Nature Photonics 6, no. 2 (February 2012): 71. http://dx.doi.org/10.1038/nphoton.2012.17.

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3

Wang, Jiaqi, and Ping Qiu. "Photodetection-induced relative timing jitter in synchronized time-lens source for coherent Raman scattering microscopy." Journal of Innovative Optical Health Sciences 10, no. 05 (September 2017): 1743003. http://dx.doi.org/10.1142/s1793545817430039.

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Synchronized time-lens source is a novel method to generate synchronized optical pulses to mode-locked lasers, and has found widespread applications in coherent Raman scattering microscopy. Relative timing jitter between the mode-locked laser and the synchronized time-lens source is a key parameter for evaluating the synchronization performance of such synchronized laser systems. However, the origins of the relative timing jitter in such systems are not fully determined, which in turn prevents the experimental efforts to optimize the synchronization performance. Here, we demonstrate, through t

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4

Feng, Jia Mei, Yuan Cheng Yao, and Ming Wei Qin. "An Improved Timing Recovery Algorithm Design." Applied Mechanics and Materials 130-134 (October 2011): 2997–3000. http://dx.doi.org/10.4028/www.scientific.net/amm.130-134.2997.

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Timing-jitter is an important index of timing recovery algorithm. This paper describes impact-factors of timing-jitter in an AWGN channel and discovers that input noise have great influence on it, proposed an improved timing recovery method for adding a loop gain to reduce it. Simulations demonstrate that a timing recovery with loop gain can have performance superior to that of without it, and got the conclusion that add loop gain at the range of 0.1 to 0.3 both timing jitter and timing recovery points can reach minimum values. Better yet, when choose a loop gain at 0.1, timing jitter decrease

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5

Miyauchi, Kazuhiro, Isamu Wakabayashi, and Hiroki Shibayama. "Analysis of timing jitter in digital transmission systems." Electronics and Communications in Japan (Part I: Communications) 84, no. 8 (April 10, 2001): 1–13. http://dx.doi.org/10.1002/ecja.1027.

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AbstractAn analysis of timing jitter generation in band‐limited digital systems is presented. An integral representation of jitter spectral density in frequency domain is derived for typical transmission systems: baseband polar system, BPSK and QPSK with AWGN. Using the representation, one can calculate the jitter spectral density and jitter variance for any frequency characteristics of the channel by performing integration over a finite frequency domain. The jitter spectral density consists of three terms with different noise dependency, each of which is represented by a combination of three

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6

Shi, Cheng, Zhi-Kang Ni, Jun Pan, Zhijie Zheng, Shengbo Ye, and Guangyou Fang. "A Method for Reducing Timing Jitter’s Impact in Through-Wall Human Detection by Ultra-Wideband Impulse Radar." Remote Sensing 13, no. 18 (September 8, 2021): 3577. http://dx.doi.org/10.3390/rs13183577.

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Ultra-wideband (UWB) impulse radar is widely used for through-wall human respiration detection due to its high range resolution and high penetration capability. UWB impulse radar emits very narrow time pulses, which can directly obtain the impulse response of the target. However, the time interval between successive pulses emitted is not ideally fixed because of timing jitter. This results in the impulse response position of the same target not being fixed, but it is related to slow-time. The clutter scattered by the stationary target becomes non-stationary clutter, which affects the accurate

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7

Taylor, Gregor G., Ewan N. MacKenzie, Boris Korzh, Dmitry V. Morozov, Bruce Bumble, Andrew D. Beyer, Jason P. Allmaras, Matthew D. Shaw, and Robert H. Hadfield. "Mid-infrared timing jitter of superconducting nanowire single-photon detectors." Applied Physics Letters 121, no. 21 (November 21, 2022): 214001. http://dx.doi.org/10.1063/5.0128129.

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Detector timing jitter is a key parameter in advanced photon counting applications. Superconducting nanowire single-photon detectors offer the fastest timing jitter in the visible to telecom wavelength range and have demonstrated single-photon sensitivity in the mid-infrared spectral region. Here, we report on timing jitter in a NbTiN nanowire device from 1.56 to 3.5 μm wavelength, achieving a FWHM jitter from 13.2 to 30.3 ps. This study has implications for emerging time-correlated single-photon counting applications in the mid-infrared spectral region.

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8

Xu, Hao, Haitao Wu, Dong Hou, Haoyuan Lu, Zhaolong Li, and Jianye Zhao. "Yoctosecond Timing Jitter Sensitivity in Tightly Synchronized Mode-Locked Ti:Sapphire Lasers." Photonics 9, no. 8 (August 12, 2022): 569. http://dx.doi.org/10.3390/photonics9080569.

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Higher sensitivity in timing jitter measurement has great importance in studies related to precise measurements. Timing jitter noise floors contribute one of the main parts in existing measurements. In this article, a phase error signal is obtained by superposition of outputs of two optical heterodyne discrimination apparatus to suppress the noise floor. Excess phase noise of the electrical amplifier is avoided. We demonstrate 2.6 × 10−14 fs2/Hz (~160 ys/√Hz) timing jitter noise floor between two identical 99 MHz repetition-rate mode-locked Ti:sapphire lasers after their repetition rates are t

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9

Zhou, Gengji, Ming Xin, Franz X. Kaertner, and Guoqing Chang. "Timing jitter of Raman solitons." Optics Letters 40, no. 21 (October 30, 2015): 5105. http://dx.doi.org/10.1364/ol.40.005105.

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10

Citrin, D. S. "Fibonacci signals with timing jitter." Mathematics in Engineering 5, no. 4 (2023): 1–13. http://dx.doi.org/10.3934/mine.2023076.

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<abstract><p>The power spectral density of a signal comprised of a sequence of Dirac $ \delta $-functions at successive times determined by a Fibonacci sequence is the temporal analog of the well known structure factor for a Fibonacci chain. Such a signal is quasi-periodic and, under suitable choice of parameters, is the temporal analog of a one-dimensional quasicrystal. While the effects of disorder in the spatial case of Fibonacci chains has been studied numerically, having an analytically tractable stochastic model is needed both for the spatial and temporal cases to be able to

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11

Xu-Friedman, Matthew A., and Wade G. Regehr. "Dynamic-Clamp Analysis of the Effects of Convergence on Spike Timing. I. Many Synaptic Inputs." Journal of Neurophysiology 94, no. 4 (October 2005): 2512–25. http://dx.doi.org/10.1152/jn.01307.2004.

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Precise action potential timing is crucial in sensory acuity and motor control. Convergence of many synaptic inputs is thought to provide a means of decreasing spike-timing variability (“jitter”), but its effectiveness has never been tested in real neurons. We used the dynamic-clamp technique in mouse auditory brain stem slices to examine how convergence controls spike timing. We tested the roles of several synaptic properties that are influenced by ongoing activity in vivo: the number of active inputs ( N), their total synaptic conductance ( Gtot), and their timing, which can resemble an alph

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12

Sun, Hua Fang, Xin Ning Liu, and Xin Chen. "Optimum Digital Filter for High-Performance All-Digital Phase-Locked Loop." Applied Mechanics and Materials 182-183 (June 2012): 587–92. http://dx.doi.org/10.4028/www.scientific.net/amm.182-183.587.

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The effect of all-digital phase-locked loop (ADPLL) digital filter parameters on the jitter is investigated in time domain, and a systematic design procedure for ADPLL is presented. The pro-posed method not only estimates the output jitter of an ADPLL, but also finds the optimal filter pa-rameter minimizing the overall ADPLL timing jitter. To verify the theoretic analysis, an ADPLL behavior model in matlab is designed. The simulation shows significant performance improvement on the timing jitter.

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13

Wang, S. Q., N. Wang, J. B. Wang, G. Hobbs, H. Xu, B. J. Wang, S. Dai, et al. "Pulse Jitter and Single-pulse Variability in Millisecond Pulsars." Astrophysical Journal 964, no. 1 (March 1, 2024): 6. http://dx.doi.org/10.3847/1538-4357/ad217b.

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Abstract Understanding the jitter noise resulting from single-pulse phase and shape variations is important for the detection of gravitational waves using pulsar timing arrays. We present measurements of the jitter noise and single-pulse variability of 12 millisecond pulsars that are part of the International Pulsar Timing Array sample using the Five-hundred-meter Aperture Spherical radio Telescope. We find that the levels of jitter noise can vary dramatically among pulsars. A moderate correlation with a correlation coefficient of 0.57 between jitter noise and pulse width is detected. To mitig

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14

Sugahara, Hiroto, Yasumichi Nonaka, Akihiro Maruta, and Yuji Kodama. "Analysis of timing jitter for a wavelength‐division‐multiplexed dispersion‐managed optical soliton transmission system." Electronics and Communications in Japan (Part I: Communications) 84, no. 10 (April 18, 2001): 10–15. http://dx.doi.org/10.1002/ecja.1043.

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AbstractIn a wavelength‐division‐multiplexed optical soliton transmission system, collisions of solitons between different channels induce frequency shifts and time shifts of the signal which result in undesirable timing jitter. The residual frequency shift after collision can be reduced by managing the dispersion value periodically along the line. In this paper, we theoretically show a mechanism of the collision‐induced frequency shift and time shift for a dispersion‐managed line. We also analyze the collision‐induced timing jitter and Gordon–Haus jitter simultaneously and propose an optimal

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15

WANG, WENQIN. "CLOCK TIMING JITTER ANALYSIS AND COMPENSATION FOR BISTATIC SYNTHETIC APERTURE RADAR SYSTEMS." Fluctuation and Noise Letters 07, no. 03 (September 2007): L341—L350. http://dx.doi.org/10.1142/s0219477507003982.

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Bistatic synthetic aperture radar (SAR) operates with distinct transmit and receive antennas that are mounted on separate platforms. Such a spatial separation has several operational advantages, which will increase the capability, reliability and flexibility of future SAR missions. However, this configuration results that there is no cancelation of low frequency oscillator noise as in the monostatic cases. As a consequence, high accurate time synchronization or clock timing jitter compensation must be provided. Literature search reveals little time synchronization work for bistatic SAR has bee

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16

She, Lei, Yanshen Fang, Liang Hu, Rui Su, and Xin Fu. "Timing jitter of monodisperse droplets generated by capillary jet breakup." Physics of Fluids 34, no. 4 (April 2022): 042107. http://dx.doi.org/10.1063/5.0084151.

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Uniform droplets generated by Rayleigh breakup of liquid jet are widely applied in science and engineering. The droplets are produced by imposing a periodic velocity perturbation on a micro-sized liquid jet. In practical situations, the frequency of droplet generation is not perfectly steady like the preset perturbation frequency. This unwanted timing jitter poses kinds of problems. We studied the fluid mechanism of the jitter at short working distance and its dependence on various parameters. We found that at short distance, the jitter is mainly affected by the reduction rather than the dispe

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17

Xu-Friedman, Matthew A., and Wade G. Regehr. "Dynamic-Clamp Analysis of the Effects of Convergence on Spike Timing. II. Few Synaptic Inputs." Journal of Neurophysiology 94, no. 4 (October 2005): 2526–34. http://dx.doi.org/10.1152/jn.01308.2004.

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Sensory pathways in the nervous system possess mechanisms for decreasing spike-timing variability (“jitter”), probably to increase acuity. Most studies of jitter reduction have focused on convergence of many subthreshold inputs. However, many neurons receive only a few active inputs at any given time, and jitter reduction under these conditions is not well understood. We examined this issue using dynamic-clamp recordings in slices from mouse auditory brain stem. Significant jitter reduction was possible with as few as two inputs, provided the inputs had several features. First, jitter reductio

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18

DiCaprio, Ralph A., Cyrus P. Billimoria, and Björn Ch Ludwar. "Information Rate and Spike-Timing Precision of Proprioceptive Afferents." Journal of Neurophysiology 98, no. 3 (September 2007): 1706–17. http://dx.doi.org/10.1152/jn.00176.2007.

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Proprioception in the first two joints of crustacean limbs is mediated by chordotonal organs that utilize spike-mediated information coding and transmission and by nonspiking proprioceptive afferents that use graded transmission at information rates in excess of 2,500 bits/s. Chordotonal organs operate in parallel with the graded receptors, but the information rates of the spiking chordotonal afferents have not been previously determined. Lower-bound estimates of chordotonal afferent information rates were calculated using stimulus reconstruction, which assumes linear encoding of the stimulus.

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19

Mollenauer, L. F., and J. P. Gordon. "Birefringence-mediated timing jitter in soliton transmission." Optics Letters 19, no. 6 (March 15, 1994): 375. http://dx.doi.org/10.1364/ol.19.000375.

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20

Jiang, Leaf A., Matthew E. Grein, Hermann A. Haus, Erich P. Ippen, and Hiroyuki Yokoyama. "Timing jitter eater for optical pulse trains." Optics Letters 28, no. 2 (January 15, 2003): 78. http://dx.doi.org/10.1364/ol.28.000078.

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21

Tsuchida, Hidemi. "Pulse timing-jitter reduction by incoherent addition." Optics Letters 28, no. 6 (March 15, 2003): 474. http://dx.doi.org/10.1364/ol.28.000474.

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22

Zhen, Huang, Yang Pan, and Zhang Wei Han. "Improved Gardner Suppression Timing Jitter Synchronization Algorithm." Journal of Electrical and Electronic Engineering 8, no. 1 (2020): 21. http://dx.doi.org/10.11648/j.jeee.20200801.14.

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23

Ho, Keang-Po, Alan Pak Tao Lau, and William Shieh. "Equalization-enhanced phase noise induced timing jitter." Optics Letters 36, no. 4 (February 15, 2011): 585. http://dx.doi.org/10.1364/ol.36.000585.

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24

Jiang, L. A., S. T. Wong, M. E. Grein, E. P. Ippen, and H. A. Haus. "Measuring timing jitter with optical cross correlations." IEEE Journal of Quantum Electronics 38, no. 8 (August 2002): 1047–52. http://dx.doi.org/10.1109/jqe.2002.800993.

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25

Ortlepp, T., and F. H. Uhlmann. "Technology Related Timing Jitter in Superconducting Electronics." IEEE Transactions on Applied Superconductivity 17, no. 2 (June 2007): 534–37. http://dx.doi.org/10.1109/tasc.2007.901334.

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26

Ho, Keang-Po. "Optimal detection of solitons with timing jitter." Journal of the Optical Society of America B 22, no. 10 (October 1, 2005): 2164. http://dx.doi.org/10.1364/josab.22.002164.

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27

Chen, J., T. Lv, Y. Chen, and J. Lv. "A Timing-Jitter Robust UWB Modulation Scheme." IEEE Signal Processing Letters 13, no. 10 (October 2006): 593–96. http://dx.doi.org/10.1109/lsp.2006.876322.

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28

Wu, Wen, Xiao Shan, Yaoqiang Long, Jing Ma, Kun Huang, Ming Yan, Yan Liang, and Heping Zeng. "Free-Running Single-Photon Detection via GHz Gated InGaAs/InP APD for High Time Resolution and Count Rate up to 500 Mcount/s." Micromachines 14, no. 2 (February 12, 2023): 437. http://dx.doi.org/10.3390/mi14020437.

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Free-running InGaAs/InP single-photon avalanche photodiodes (SPADs) typically operate in the active-quenching mode, facing the problems of long dead time and large timing jitter. In this paper, we demonstrate a 1-GHz gated InGaAs/InP SPAD with the sinusoidal gating signals asynchronous to the incident pulsed laser, enabling free-running single-photon detection. The photon-induced avalanche signals are quenched within 1 ns, efficiently reducing the SPAD’s dead time and achieving a count rate of up to 500 Mcount/s. However, the timing jitter is measured to be ~168 ps, much larger than that of th

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29

Kang, Heung-Sik, Haeryong Yang, Gyujin Kim, Hoon Heo, Inhyuk Nam, Chang-Ki Min, Changbum Kim, et al. "FEL performance achieved at PAL-XFEL using a three-chicane bunch compression scheme." Journal of Synchrotron Radiation 26, no. 4 (June 19, 2019): 1127–38. http://dx.doi.org/10.1107/s1600577519005861.

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PAL-XFEL utilizes a three-chicane bunch compression (3-BC) scheme (the very first of its kind in operation) for free-electron laser (FEL) operation. The addition of a third bunch compressor allows for more effective mitigation of coherent synchrotron radiation during bunch compression and an increased flexibility of system configuration. Start-to-end simulations of the effects of radiofrequency jitter on the electron beam performance show that using the 3-BC scheme leads to better performance compared with the two-chicane bunch compression scheme. Together with the high performance of the lina

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30

Liu, Keyang, Hongyang Li, Xinliang Wang, Yanqi Liu, Liwei Song, and Yuxin Leng. "Timing Fluctuation Correction of A Femtosecond Regenerative Amplifier." Crystals 11, no. 10 (October 14, 2021): 1242. http://dx.doi.org/10.3390/cryst11101242.

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We report on the long-term correction of a timing fluctuation between the femtosecond regenerative amplifier and the reference oscillator for the seed 100 PW laser system in the Station of Extreme Light (SEL). The timing fluctuation was characterized by a noncollinear balanced optical cross-correlator that maps the time difference to the sum frequency intensity of the amplifier and oscillator laser pulses. A feedback loop was employed to correct the timing jitter by adjusting the time delay line in the amplifier beam path. The timing fluctuation was reduced to 1.26 fs root-mean-square from hun

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31

Zweck, John, and Curtis R. Menyuk. "Computation of the timing jitter, phase jitter, and linewidth of a similariton laser." Journal of the Optical Society of America B 35, no. 5 (April 27, 2018): 1200. http://dx.doi.org/10.1364/josab.35.001200.

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32

Muñoz, Christian Daniel, Juan Coronel, Margarita Varon, Fabien Destic, and Angelique Rissons. "Low-Timing-Jitter and Low-Phase-Noise Microwave Signal Generation Using a VCSEL-Based Optoelectronic Oscillator." Ingeniería e Investigación 42, no. 2 (October 29, 2021): e87189. http://dx.doi.org/10.15446/ing.investig.v42n2.87189.

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This article presents the first results of the timing-jitter characterization of a VCSEL-based optoelectronic oscillator (VBO) at 2,5GHz. For all implementations, vertical-cavity surface-emitting lasers (VCSEL) emitting in the O and C-bands were characterized. The resonant cavity was modified through the optical delay line length to verify its impact on timing-jitter and phase noise of the VBO. The lowest peak-to-peak jitter value obtained experimentally was 71 mUI when the optical fiber length was 1 km, whereas the lowest phase noise was -124 dBc/Hz with 5 km. This phase noise value, measured

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33

Bergamin, Gianmario, and Alexandre Pierre Soulier. "A simulation methodology for establishing IR-drop-induced clock jitter for high precision timing ASICs." Journal of Instrumentation 19, no. 02 (February 1, 2024): C02023. http://dx.doi.org/10.1088/1748-0221/19/02/c02023.

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Abstract The combination of 3D tracking and high-precision timing measurements has been identified by the European Committee for Future Accelerators as a fundamental requirement to increase detection capabilities for future applications. Among others, on-chip high-quality clock is a key factor determining the overall resolution of timing ASICs. However, in large and dense chips, power-grid drops can severely affect the non-deterministic jitter of the clock, representing a limit to the performances. This contribution presents a simulation framework based on commercial tools to derive power supp

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34

Park, Kwang, Jeungmin Joo, Sungsoo Choi, and Kiseon Kim. "EFFECTS OF TIMING JITTER IN TH-BPSK UWB SYSTEMS APPLYING THE FCC-CONSTRAINT PULSES UNDER NAKAGAMI-M FADING CHANNEL." SYNCHROINFO JOURNAL 7, no. 6 (2021): 21–25. http://dx.doi.org/10.36724/2664-066x-2021-7-6-21-25.

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Ultra wideband (UWB) technology has obtained lots of attention as a strong candidate for short range indoor wireless communication because of low power consumption, low cost implementation and the robustness against multipath fading. It uses trains of short pulses which widely spread the signal energy in frequency domain. Since such large bandwidth can cause interference with other narrow band communication systems, the federal communications commission (FCC) has restricted not only the frequency region from 3.1GHz to 10.6GHz but also the transmission power level for commercial use of UWB syst

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35

Yihan Pi, 皮一涵, 王春泽 Chunze Wang, 宋有建 Youjian Song, and 胡明列 Minglie Hu. "Ultra-low timing jitter femtosecond laser technology (Invited)." Infrared and Laser Engineering 49, no. 12 (2020): 20201058. http://dx.doi.org/10.3788/irla20201058.

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36

Shehata, Mohamed, Ke Wang, Julian Webber, Masayuki Fujita, Tadao Nagatsuma, and Withawat Withayachumnankul. "Timing-Jitter Tolerant Nyquist Pulse for Terahertz Communications." Journal of Lightwave Technology 40, no. 2 (January 15, 2022): 557–64. http://dx.doi.org/10.1109/jlt.2021.3121814.

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37

Yihan Pi, 皮一涵, 王春泽 Chunze Wang, 宋有建 Youjian Song, and 胡明列 Minglie Hu. "Ultra-low timing jitter femtosecond laser technology (Invited)." Infrared and Laser Engineering 49, no. 12 (2020): 20201058. http://dx.doi.org/10.3788/irla.7_invited-1058.

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38

Lacaze, Bernard, and Corinne Mailhes. "Reconstruction of sampled complex processes with timing jitter." Sampling Theory in Signal and Image Processing 3, no. 2 (May 2004): 133–56. http://dx.doi.org/10.1007/bf03549410.

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39

Kusama, H., and T. Yagi. "Laser-triggered low timing jitter coaxial Marx generator." IEEE Transactions on Plasma Science 25, no. 6 (1997): 1431–34. http://dx.doi.org/10.1109/27.650914.

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40

Casanova, Alexis, Quentin D’Acremont, Giorgio Santarelli, Stefan Dilhaire, and Antoine Courjaud. "Ultrafast amplifier additive timing jitter characterization and control." Optics Letters 41, no. 5 (February 18, 2016): 898. http://dx.doi.org/10.1364/ol.41.000898.

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41

WADA, Kenji, Yuki YAMAGAMI, Tetsuya MATSUYAMA, and Hiromichi HORINAKA. "Timing Jitter Measurement of Gain-Switched Semiconductor Lasers." Review of Laser Engineering 43, no. 6 (2015): 371. http://dx.doi.org/10.2184/lsj.43.6_371.

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42

Farhang-Boroujeny, B., and G. Mathew. "Nyquist filters with robust performance against timing jitter." IEEE Transactions on Signal Processing 46, no. 12 (1998): 3427–31. http://dx.doi.org/10.1109/78.735318.

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43

Souders, T. M., D. R. Flach, C. Hagwood, and G. L. Yang. "The effects of timing jitter in sampling systems." IEEE Transactions on Instrumentation and Measurement 39, no. 1 (1990): 80–85. http://dx.doi.org/10.1109/19.50421.

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44

Miki, S., S. Miyajima, M. Yabuno, T. Yamashita, T. Yamamoto, N. Imoto, R. Ikuta, R. A. Kirkwood, R. H. Hadfield, and H. Terai. "Superconducting coincidence photon detector with short timing jitter." Applied Physics Letters 112, no. 26 (June 25, 2018): 262601. http://dx.doi.org/10.1063/1.5037254.

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45

Messerschmitt, D. "Asynchronous and Timing Jitter Insensitive Data Echo Cancellation." IEEE Transactions on Communications 34, no. 12 (December 1986): 1209–17. http://dx.doi.org/10.1109/tcom.1986.1096487.

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46

Rylyakov, A. V., and K. K. Likharev. "Pulse jitter and timing errors in RSFQ circuits." IEEE Transactions on Appiled Superconductivity 9, no. 2 (June 1999): 3539–44. http://dx.doi.org/10.1109/77.783794.

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47

Jones, E. V., and S. Zhu. "Data sequence coding for low jitter timing recovery." Electronics Letters 23, no. 7 (1987): 337. http://dx.doi.org/10.1049/el:19870249.

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48

Landolsi, M. A. "Minimisation of timing jitter in CDMA code tracking." Electronics Letters 40, no. 21 (2004): 1352. http://dx.doi.org/10.1049/el:20045944.

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49

Mecozzi, Antonio, Michele Midrio, and Marco Romagnoli. "Timing jitter in soliton transmission with sliding filters." Optics Letters 21, no. 6 (March 15, 1996): 402. http://dx.doi.org/10.1364/ol.21.000402.

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50

Grein, M. E., H. A. Haus, Y. Chen, and E. P. Ippen. "Quantum-limited timing jitter in actively modelocked lasers." IEEE Journal of Quantum Electronics 40, no. 10 (October 2004): 1458–70. http://dx.doi.org/10.1109/jqe.2004.834784.

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