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Journal articles on the topic 'GAUSSIAN GAIN'

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Author: Grafiati

Published: 11 September 2023

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1

Iparraguirre, I., and T. del Río Gaztelurrutia. "Analytic solutions for Gaussian gain profile resonators." Optics Communications 255, no. 4-6 (November 2005): 241–47. http://dx.doi.org/10.1016/j.optcom.2005.06.020.

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2

Hartman, Eric, and James D. Keeler. "Predicting the Future: Advantages of Semilocal Units." Neural Computation 3, no. 4 (December 1991): 566–78. http://dx.doi.org/10.1162/neco.1991.3.4.566.

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In investigating gaussian radial basis function (RBF) networks for their ability to model nonlinear time series, we have found that while RBF networks are much faster than standard sigmoid unit backpropagation for low-dimensional problems, their advantages diminish in high-dimensional input spaces. This is particularly troublesome if the input space contains irrelevant variables. We suggest that this limitation is due to the localized nature of RBFs. To gain the advantages of the highly nonlocal sigmoids and the speed advantages of RBFs, we propose a particular class of semilocal activation functions that is a natural interpolation between these two families. We present evidence that networks using these gaussian bar units avoid the slow learning problem of sigmoid unit networks, and, very importantly, are more accurate than RBF networks in the presence of irrelevant inputs. On the Mackey-Glass and Coupled Lattice Map problems, the speedup over sigmoid networks is so dramatic that the difference in training time between RBF and gaussian bar networks is minor. Gaussian bar architectures that superpose composed gaussians (gaussians-of-gaussians) to approximate the unknown function have the best performance. We postulate that an interesing behavior displayed by gaussian bar functions under gradient descent dynamics, which we call automatic connection pruning, is an important factor in the success of this representation.

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3

Holevo, A. S. "Gaussian classical-quantum channels: Gain from entanglement-assistance." Problems of Information Transmission 50, no. 1 (January 2014): 1–14. http://dx.doi.org/10.1134/s0032946014010013.

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4

Pyatakhin, M. V. "Gaussian beams in media with transverse gain inhomogeneity." Journal of Russian Laser Research 18, no. 5 (September 1997): 445–63. http://dx.doi.org/10.1007/bf02559669.

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5

Jirauschek, Christian, and Franz X. Kärtner. "Gaussian pulse dynamics in gain media with Kerr nonlinearity." Journal of the Optical Society of America B 23, no. 9 (September 1, 2006): 1776. http://dx.doi.org/10.1364/josab.23.001776.

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6

Ibison, M. C., and D. C. Hanna. "Analysis of Raman gain for focussed Gaussian pump beams." Applied Physics B Photophysics and Laser Chemistry 45, no. 1 (January 1988): 37–44. http://dx.doi.org/10.1007/bf00692339.

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7

Chang, R. J. "Optimal Linear Feedback Control for a Class of Nonlinear Nonquadratic Non-Gaussian Problems." Journal of Dynamic Systems, Measurement, and Control 113, no. 4 (December 1, 1991): 568–74. http://dx.doi.org/10.1115/1.2896459.

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An optimal linear feedback controller designed for a class of nonlinear stochastic systems with nonquadratic performance criteria by a non-Gaussian approach is presented. The non-Gaussian method is developed through expressing the unknown stationary output density function as a weighted sum of the Gaussian densities with undetermined parameters. With the aid of a Gaussian-sum density, the optimal feedback gain for a control system with complete state information is derived. By assuming that the separation principle is valid for the class of stochastic systems, a nonlinear precomputed-gain filter is then implemented. The method is illustrated by a Duffing-type control system and the performance of a linear feedback controller designed through both quadratic and nonquadratic performance indices is compared.

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8

Molnár, Etele, and Dan Stutman. "Direct Laser-Driven Electron Acceleration and Energy Gain in Helical Beams." Laser and Particle Beams 2021 (May 31, 2021): 1–13. http://dx.doi.org/10.1155/2021/6645668.

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A detailed study of direct laser-driven electron acceleration in paraxial Laguerre–Gaussian modes corresponding to helical beams LG 0 m with azimuthal modes m = 1,2,3,4,5 is presented. Due to the difference between the ponderomotive force of the fundamental Gaussian beam LG 00 and helical beams LG 0 m , we found that the optimal beam waist leading to the most energetic electrons at full width at half maximum is more than twice smaller for the latter and corresponds to a few wavelengths Δ w 0 = 6,11,19 λ 0 for laser powers of P 0 = 0.1 , 1,10 PW. We also found that, for azimuthal modes m ≥ 3 , the optimal waist should be smaller than Δ w 0 < 19 λ 0 . Using these optimal values, we have observed that the average kinetic energy gain of electrons is about an order of magnitude larger in helical beams compared to the fundamental Gaussian beam. This average energy gain increases with the azimuthal index m leading to collimated electrons of a few 100 MeV energy in the direction of the laser propagation.

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9

Maes, Carl F., and Ewan M. Wright. "Mode properties of an external-cavity laser with Gaussian gain." Optics Letters 29, no. 3 (February 1, 2004): 229. http://dx.doi.org/10.1364/ol.29.000229.

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10

Filippov, Sergey, and Alena Termanova. "Superior Resilience of Non-Gaussian Entanglement against Local Gaussian Noises." Entropy 25, no. 1 (December 30, 2022): 75. http://dx.doi.org/10.3390/e25010075.

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Entanglement distribution task encounters a problem of how the initial entangled state should be prepared in order to remain entangled the longest possible time when subjected to local noises. In the realm of continuous-variable states and local Gaussian channels it is tempting to assume that the optimal initial state with the most robust entanglement is Gaussian too; however, this is not the case. Here we prove that specific non-Gaussian two-mode states remain entangled under the effect of deterministic local attenuation or amplification (Gaussian channels with the attenuation factor/power gain κi and the noise parameter μi for modes i=1,2) whenever κ1μ22+κ2μ12<14(κ1+κ2)(1+κ1κ2), which is a strictly larger area of parameters as compared to where Gaussian entanglement is able to tolerate noise. These results shift the “Gaussian world” paradigm in quantum information science (within which solutions to optimization problems involving Gaussian channels are supposed to be attained at Gaussian states).

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11

Basener, Bill, and Abigail Basener. "Gaussian Process and Deep Learning Atmospheric Correction." Remote Sensing 15, no. 3 (January 21, 2023): 649. http://dx.doi.org/10.3390/rs15030649.

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Atmospheric correction is the processes of converting radiance values measured at a spectral sensor to the reflectance values of the materials in a multispectral or hyperspectral image. This is an important step for detecting or identifying the materials present in the pixel spectra. We present two machine learning models for atmospheric correction trained and tested on 100,000 batches of 40 reflectance spectra converted to radiance using MODTRAN, so the machine learning model learns the radiative transfer physics from MODTRAN. We created a theoretically interpretable Bayesian Gaussian process model and a deep learning autoencoder treating the atmosphere as noise. We compare both methods for estimating gain in the correction model to process for estimating gain within the well-know QUAC method which assumes a constant mean endmember reflectance. Prediction of reflectance using the Gaussian process model outperforms the other methods in terms of both accuracy and reliability.

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12

Nakprasit, Krittaya, Arnon Sakonkanapong, and Chuwong Phongcharoenpanich. "Elliptical Ring Antenna Excited by Circular Disc Monopole for UWB Communications." International Journal of Antennas and Propagation 2020 (February 17, 2020): 1–11. http://dx.doi.org/10.1155/2020/8707182.

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This research proposes a compact elliptical ring antenna excited by a circular disc monopole (CDM) for ultra-wideband (UWB) communications. In the study, time- and frequency-domain pulse distortions of the antenna in the transmission mode were characterized by magnitude and phase of the antenna transfer function (Hrad). The results showed that the gain and magnitude of Hrad in the boresight direction are sufficiently flat with linear phase response. The average antenna gain is 3.9 dBi over the UWB spectrum. The antenna also exhibits low pulse distortion with the correlation factors (ρ) of 0.98 and 0.93 for the fifth-order derivative Gaussian pulse and modulated Gaussian pulse with 6 GHz band rejection. The CDM-excited elliptical ring antenna possesses several attractive features, including wide bandwidth, flat gain, compactness, low cost, and low distortion.

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13

Bazzi, O., A. Alaeddine, Y. Mohanna, and A. Hafiz. "Effects of Gaussian Filtering on Processing Gain in Acousto-Optic Correlators." Journal of Applied Sciences 10, no. 4 (February 1, 2010): 354–58. http://dx.doi.org/10.3923/jas.2010.354.358.

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14

Xu, Zhihang, and Qifeng Liao. "Gaussian Process Based Expected Information Gain Computation for Bayesian Optimal Design." Entropy 22, no. 2 (February 24, 2020): 258. http://dx.doi.org/10.3390/e22020258.

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Optimal experimental design (OED) is of great significance in efficient Bayesian inversion. A popular choice of OED methods is based on maximizing the expected information gain (EIG), where expensive likelihood functions are typically involved. To reduce the computational cost, in this work, a novel double-loop Bayesian Monte Carlo (DLBMC) method is developed to efficiently compute the EIG, and a Bayesian optimization (BO) strategy is proposed to obtain its maximizer only using a small number of samples. For Bayesian Monte Carlo posed on uniform and normal distributions, our analysis provides explicit expressions for the mean estimates and the bounds of their variances. The accuracy and the efficiency of our DLBMC and BO based optimal design are validated and demonstrated with numerical experiments.

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15

Ping Hou, B. J. Belzer, and T. R. Fischer. "Shaping gain of the partially coherent additive white Gaussian noise channel." IEEE Communications Letters 6, no. 5 (May 2002): 175–77. http://dx.doi.org/10.1109/4234.1001655.

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16

Tovar, A. A., and L. W. Casperson. "Gaussian beam optical systems with high gain or high loss media." IEEE Transactions on Microwave Theory and Techniques 43, no. 8 (1995): 1857–62. http://dx.doi.org/10.1109/22.402271.

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17

Graefe, Eva-Maria, Alexander Rush, and Roman Schubert. "Propagation of Gaussian Beams in the Presence of Gain and Loss." IEEE Journal of Selected Topics in Quantum Electronics 22, no. 5 (September 2016): 130–35. http://dx.doi.org/10.1109/jstqe.2016.2555800.

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18

Li, G., Fiddy M.A., and Y. Y. Teng. "High gain of a free electron laser with a Gaussian profile." Optics & Laser Technology 26, no. 1 (January 1994): 21–24. http://dx.doi.org/10.1016/0030-3992(94)90006-x.

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19

Kennedy, Ann W., John B. Gruber, Paul R. Bolton, and Mark S. Bowers. "Modeling gain-medium diffraction in super-Gaussian coupled unstable laser cavities." Applied Optics 44, no. 7 (March 1, 2005): 1283. http://dx.doi.org/10.1364/ao.44.001283.

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20

Buchner, Johannes. "An Intuition for Physicists: Information Gain From Experiments." Research Notes of the AAS 6, no. 5 (May 2, 2022): 89. http://dx.doi.org/10.3847/2515-5172/ac6b40.

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Abstract How much one has learned from an experiment is quantifiable by the information gain, also known as the Kullback–Leibler divergence. The narrowing of the posterior parameter distribution P(θ∣D) compared with the prior parameter distribution π(θ), is quantified in units of bits, as: D KL ( P ∣ π ) = ∫ log 2 P ( θ ∣ D ) π ( θ ) P ( θ ∣ D ) d θ bits This research note gives an intuition what one bit of information gain means. It corresponds to a Gaussian shrinking its standard deviation by a factor of three.

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21

Chen, Xiaoming, and Jian Yang. "Investigation of the Effect of Noise Correlations on Diversity Gains and Capacities of Multiport Antennas Using Reverberation Chamber." International Journal of Antennas and Propagation 2012 (2012): 1–9. http://dx.doi.org/10.1155/2012/486730.

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Most of previous studies on diversity gains and capacities of multiantenna systems assumed independent and identically distributed (i.i.d.) Gaussian noises. There are a few studies about the noise correlation effects on diversity gains or MIMO capacities, however, by simulations only. In this paper, the maximum ratio combining (MRC) diversity gain and multiple-input multiple-output (MIMO) capacity including correlated noises are presented. Based on the derived formulas, measurements in a reverberation chamber are performed for the first time to observe the effect of noise correlations on diversity gains and MIMO capacities.

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22

Tunc, Hilal S. Duranoglu, Nuran Dogru, and Erkan Cengiz. "Gain-Switched Short Pulse Generation from 1.55 µm InAs/InP/(113)B Quantum Dot Laser Modeled Using Multi-Population Rate Equations." Mathematics 10, no. 22 (November 17, 2022): 4316. http://dx.doi.org/10.3390/math10224316.

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The gain-switching properties of an InAs-InP (113)B quantum dot laser based on multi-population rate equations are examined theoretically in detail to generate shorter pulses with the application of a Gaussian pulse beam to the laser excited state. The numerical results demonstrated that as the homogeneous and the inhomogeneous broadening increase, the differential gain, the gain compression factor, and the threshold current of the excited state decrease while the threshold current of the ground state increases. It was also observed that the contribution of the excited state to gain-switched output pulses depend on not only the value of the inhomogeneous broadening but also the magnitude of the applied current. Additionally, it was found that without an optical beam, the output pulse has a long pulse width due to ground state emissions and the change in the parameters strongly affecting the output. However, under the optical beam, narrow pulses around 26 ps have high peak power owing to the excited state emission generated even at low currents and also the change in the laser parameters having a negligible effect. Finally, the gain-switching characteristics with and without a Gaussian pulse beam are shown to be similar for liner-gain and nonlinear-gain cases except that higher peak power and narrower output pulses are obtained for the linear-gain case.

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23

Jha, Pallavi, Akanksha Saroch, and Rohit Kumar Mishra. "Wakefield generation and electron acceleration by intense super-Gaussian laser pulses propagating in plasma." Laser and Particle Beams 31, no. 4 (August 21, 2013): 583–88. http://dx.doi.org/10.1017/s0263034613000682.

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AbstractEvolution of longitudinal electrostatic wakefields, due to the propagation of a linearly polarized super-Gaussian laser pulse through homogeneous plasma has been presented via two-dimensional particle-in-cell simulations. The wakes generated are compared with those generated by a Gaussian laser pulse in the relativistic regime. Further, one-dimensional numerical model has been used to validate the generated wakefields via simulation studies. Separatrix curves are plotted to study the trapping and energy gain of an externally injected test electron, due to the generated electrostatic wakefields. An enhancement in the peak energy of an externally injected electron accelerated by wakes generated by super-Gaussian pulse as compared to Gaussian pulse case has been observed.

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24

Khan, Asif Mehmood, Muhammad Mansoor Ahmed, Umair Rafique, Arslan Kiyani, and Syed Muzahir Abbas. "An Efficient Slotted Waveguide Antenna System Integrated with Inside-Grooves and Modified Gaussian Slot Distribution." Electronics 11, no. 18 (September 17, 2022): 2948. http://dx.doi.org/10.3390/electronics11182948.

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In this work, an efficient slotted waveguide antenna (SWA) system is designed for S-band high power microwave (HPM) applications. The designed SWA comprises of 10-slot elements placed on the broad wall of SWA with a modified Gaussian distribution (MGD), integrated with two inside-grooves and a Gaussian dielectric radome of high-density polyethylene (HDPE) material. The inside-grooves are introduced to suppress the surface current on the waveguide, which results in high gain as well as sidelobe level (SLL) reduction in the E-plane. The MGD controls the SLLs, and the unique Gaussian profile shape radome offers constant radiation characteristics. The proposed antenna system, within existing size constraints, offers a high gain of 20.1 dBi in conjunction with a high-power handling capability of greater than 100 MW. The designed SWA system has compact dimensions of 8.46λ0 × 1.38λ0 × 1.50λ0, with SLLs of −20 dB and −22 dB in the H- and E-plane, respectively. The HPM antenna system, radiating at 3 GHz, is fabricated on aluminium material using the milling process. The simulated SWA system has good agreement with measured results. Moreover, the proposed SWA system offers clear advantages in terms of its robustness, design simplicity, high power handling capability, and high gain.

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25

Fu, Yu, and Hongwen Yang. "Improving Log-Likelihood Ratio Estimation with Bi-Gaussian Approximation under Multiuser Interference Scenarios." Entropy 23, no. 6 (June 20, 2021): 784. http://dx.doi.org/10.3390/e23060784.

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Accurate estimation of channel log-likelihood ratio (LLR) is crucial to the decoding of modern channel codes like turbo, low-density parity-check (LDPC), and polar codes. Under an additive white Gaussian noise (AWGN) channel, the calculation of LLR is relatively straightforward since the closed-form expression for the channel likelihood function can be perfectly known to the receiver. However, it would be much more complicated for heterogeneous networks where the global noise (i.e., noise plus interference) may be dominated by non-Gaussian interference with an unknown distribution. Although the LLR can still be calculated by approximating the distribution of global noise as Gaussian, it will cause performance loss due to the non-Gaussian nature of global noise. To address this problem, we propose to use bi-Gaussian (BG) distribution to approximate the unknown distribution of global noise, for which the two parameters of BG distribution can easily be estimated from the second and fourth moments of the overall received signals without any knowledge of interfering channel state information (CSI) or signaling format information. Simulation results indicate that the proposed BG approximation can effectively improve the word error rate (WER) performance. The gain of BG approximation over Gaussian approximation depends heavily on the interference structure. For the scenario of a single BSPK interferer with a 5 dB interference-to-noise ratio (INR), we observed a gain of about 0.6 dB. The improved LLR estimation can also accelerate the convergence of iterative decoding, thus involving a lower overall decoding complexity. In general, the overall decoding complexity can be reduced by 25 to 50%.

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26

Bochove, E. J., G. T. Moore, and M. O. Scully. "Energy Gain, Stability, and Bunching in Gas-Loaded Hermite-Gaussian Laser Linac." Zeitschrift für Naturforschung A 52, no. 1-2 (February 1, 1997): 111–13. http://dx.doi.org/10.1515/zna-1997-1-226.

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Abstract Gas-loaded Hermite-Gaussian laser linacs yield greater gain and interaction lengths then vacuum linacs, however, optical beam and drift tube damage are not adequately alleviated in uniformly loaded devices. These problems can be resolved if the loading is graded so as to accommodate the phase velocity variation of the laser beam.

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27

Chan, Hiu, and Kwok Chow. "Numerical Investigation of the Dynamics of ‘Hot Spots’ as Models of Dissipative Rogue Waves." Applied Sciences 8, no. 8 (July 25, 2018): 1223. http://dx.doi.org/10.3390/app8081223.

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In this paper, the effect of gain or loss on the dynamics of rogue waves is investigated by using the complex Ginzburg-Landau equation as a framework. Several external energy input mechanisms are studied, namely, constant background or compact Gaussian gains and a ‘rogue gain’ localized in space and time. For linear background gain, the rogue wave does not decay back to the mean level but evolves into peaks with growing amplitude. However, if such gain is concentrated locally, a pinned mode with constant amplitude could replace the time transient rogue wave and become a sustained feature. By restricting such spatially localized gain to be effective only for a finite time interval, a ‘rogue-wave-like’ mode can be recovered. On the other hand, if the dissipation is enhanced in the localized region, the formation of rogue wave can be suppressed. Finally, the effects of linear and cubic gain are compared. If the strength of the cubic gain is large enough, the rogue wave may grow indefinitely (‘blow up’), whereas the solution under a linear gain is always finite. In conclusion, the generation and dynamics of rogue waves critically depend on the precise forms of the external gain or loss.

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28

Shi, Lan-Ting, Feng Jin, Mei-Ling Zheng, Xian-Zi Dong, Wei-Qiang Chen, Zhen-Sheng Zhao, and Xuan-Ming Duan. "Low threshold photonic crystal laser based on a Rhodamine dye doped high gain polymer." Physical Chemistry Chemical Physics 18, no. 7 (2016): 5306–15. http://dx.doi.org/10.1039/c5cp06990d.

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We demonstrate low threshold lasing emission in a photonic crystal laserviaisomerization oftert-butyl Rhodamine B. A single-mode lasing beam with a Gaussian intensity profile verifies its prospect in photonic devices.

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29

Wu, Tao, Jixiang Wu, Hui Wang, Ligang Cui, and Yinsong Yang. "A time domain random flicker band-limited Gaussian noise jamming algorithm for LMS-based GPS." MATEC Web of Conferences 336 (2021): 07010. http://dx.doi.org/10.1051/matecconf/202133607010.

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Global position systems (GPS) receiver based on least mean square (LMS) could resist the interference by null jamming direction. Considering that the existing band-limited Gaussian noise jamming signals were easily suppressed by LMS-based GPS receivers, a time domain random flicker band-limited Gaussian noise jamming algorithm was proposed to improve its performance. By disturbing the convergence of LMS, it could achieve the purpose of suppressing the LMS-based GPS. Simulation result shows that the proposed algorithm has an average performance gain of 2.7dB~4.6dB under different number of interferences compared with band-limited Gaussian noise.

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30

Zhu, Shijun, and Yangjian Cai. "DEGREE OF POLARIZATION OF A TWISTED ELECTROMAGNETIC GAUSSIAN SCHELL-MODEL BEAM IN A GAUSSIAN CAVITY FILLED WITH GAIN MEDIA." Progress In Electromagnetics Research B 21 (2010): 171–87. http://dx.doi.org/10.2528/pierb10041105.

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31

Valle, Angel. "Statistics of the Optical Phase of a Gain-Switched Semiconductor Laser for Fast Quantum Randomness Generation." Photonics 8, no. 9 (September 13, 2021): 388. http://dx.doi.org/10.3390/photonics8090388.

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The statistics of the optical phase of the light emitted by a semiconductor laser diode when subject to periodic modulation of the applied bias current are theoretically analyzed. Numerical simulations of the stochastic rate equations describing the previous system are performed to describe the temporal dependence of the phase statistics. These simulations are performed by considering two cases corresponding to random and deterministic initial conditions. In contrast to the Gaussian character of the phase that has been assumed in previous works, we show that the phase is not distributed as a Gaussian during the initial stages of evolution. We characterize the time it takes the phase to become Gaussian by calculating the dynamical evolution of the kurtosis coefficient of the phase. We show that, under the typical gain-switching with square-wave modulation used for quantum random number generation, quantity is in the ns time scale; that corresponds to the time it takes the system to lose the memory of the distribution of the initial conditions. We compare the standard deviation of the phase obtained with random and deterministic initial conditions to show that their differences become more important as the modulation speed is increased.

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32

SUN JUN-QIANG, HUANG DE-XIU, and LI ZAI-GUANG. "SOLITON CHARACTERISTICS OF GAUSSIAN OPTICAL PULSES PROPAGATION IN THE NONLINEAR GAIN MEDIUM." Acta Physica Sinica 42, no. 4 (1993): 575. http://dx.doi.org/10.7498/aps.42.575.

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33

Zhang, Zhilun, Xianfeng Lin, Gui Chen, Lei Liao, Yingbin Xing, Haiqing Li, Jinggang Peng, Nengli Dai, and Jinyan Li. "Gaussian-Shaped Gain-Dopant Distributed Fiber for High Output Power Fiber Amplifier." IEEE Photonics Journal 13, no. 4 (August 2021): 1–6. http://dx.doi.org/10.1109/jphot.2021.3096716.

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34

Gatz, S., and J. Hermann. "Geometrical threshold zones and Gaussian modes in lasers with radially varying gain." Optics Letters 19, no. 21 (November 1, 1994): 1696. http://dx.doi.org/10.1364/ol.19.001696.

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35

Perrone, M. R. "Super-Gaussian unstable resonator characterization for high-gain short-pulse excimer lasers." Pure and Applied Optics: Journal of the European Optical Society Part A 3, no. 4 (July 1994): 523–31. http://dx.doi.org/10.1088/0963-9659/3/4/014.

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36

Weber, Jos H., and Kees A. Schouhamer Immink. "Maximum Likelihood Decoding for Gaussian Noise Channels With Gain or Offset Mismatch." IEEE Communications Letters 22, no. 6 (June 2018): 1128–31. http://dx.doi.org/10.1109/lcomm.2018.2809749.

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37

Watson, J. P., E. M. Wright, and N. Peyghambarian. "Numerical investigations of cavity mode instabilities induced by a Gaussian gain medium." Optics Communications 172, no. 1-6 (December 1999): 103–12. http://dx.doi.org/10.1016/s0030-4018(99)00583-0.

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38

Jian-feng Weng and Shu-hung Leung. "Equal-gain performance of MDPSK in Nakagami fading and correlated Gaussian noise." IEEE Transactions on Communications 47, no. 11 (1999): 1619–22. http://dx.doi.org/10.1109/26.803494.

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39

Dmitriev, Alexander, Anton Ryzhov, and Christian Sierra-Teran. "Statistical Characteristics of Differential Communication Scheme Based on Chaotic Radio Pulses." Electronics 12, no. 6 (March 22, 2023): 1495. http://dx.doi.org/10.3390/electronics12061495.

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The aim of this paper is to analyze statistical characteristics of the new differential communication scheme based on chaotic radio pulses in the presence of additive white noise (Gaussian) and using various distributions of instantaneous values of the chaotic signal. The characteristic feature of the presented scheme is the usage of significantly shorter time delays compared to the classical differential chaotic shift keying (DCSK) scheme. In order to investigate noise immunity of the direct chaotic differential communication (DC2) scheme, numerical statistical simulation is performed in terms of the bit error probability (BER) of the transmitted information. Then, the results of this simulation are compared to the results of analytical research. It is shown that due to the inherent internal noises of the scheme, the bit error probability (BER) for arbitrarily large values of the ratio of the signal energy to the Gaussian noise spectral density (Eb/N0) is higher than 10−3 for the values of processing gain K < 30 for any distribution of instantaneous values of the chaotic signal. With the increase of the K values, there is a rapid decrease in BER in a system with a channel without white noise. Numeric simulation is performed, which verifies and clarifies the analytical estimates obtained earlier regarding the bit error probabilities as functions of processing gain and ratio of the signal energy to the Gaussian noise spectral density. The minimum values of Eb/N0 are obtained, which provide necessary error probabilities with the processing gain set. It is shown that with a high processing gain (K > 30), the communication scheme considered here operates effectively both in a channel without fluctuation noises and in a channel with additive white Gaussian noise. The statistical characteristics of the proposed scheme do not depend on the choice of a particular distribution of instantaneous values of the chaotic signal. Taking into account that the scheme uses short delays, which do not depend on the processing gain of the used signal and are easily implemented, for example, on fragments of a high-frequency cable, the results obtained show good prospects for its implementation in a physical experiment.

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40

Hu, Yong. "Automatic White Balance Based on Gaussian Decomposition." Applied Mechanics and Materials 263-266 (December 2012): 2542–46. http://dx.doi.org/10.4028/www.scientific.net/amm.263-266.2542.

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In this literature, an automatic white balance adjustment algorithm based on Gaussian decomposition is proposed. The improved algorithm is aiming at handling the problem occurred in automatic white balance algorithm, such as lack of correction or high complexity. First, Gaussian distribution of gray level is obtained by using Gaussian decomposition. And then, gain curve of each component in RGB color image are calculated by the parameters. After the coefficient is used for white balance adjustment, a corrected image is finally obtained. Experimental results show that the algorithm can effectively correct the image color cast problems, and are suitable for a variety of different scenarios.

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Cambanis, Stamatis. "Random filters which preserve the stability of random inputs." Advances in Applied Probability 20, no. 2 (June 1988): 275–94. http://dx.doi.org/10.2307/1427390.

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A stationary stable random processes goes through an independently distributed random linear filter. It is shown that when the input is Gaussian or harmonizable stable, then the output is also stable provided the filter&s transfer function has non-random gain. In contrast, when the input is a non-Gaussian stable moving average, then the output is stable provided the filter&s randomness is due only to a random global sign and time shift.

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42

Cambanis, Stamatis. "Random filters which preserve the stability of random inputs." Advances in Applied Probability 20, no. 02 (June 1988): 275–94. http://dx.doi.org/10.1017/s0001867800016979.

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Abstract:

A stationary stable random processes goes through an independently distributed random linear filter. It is shown that when the input is Gaussian or harmonizable stable, then the output is also stable provided the filter&s transfer function has non-random gain. In contrast, when the input is a non-Gaussian stable moving average, then the output is stable provided the filter&s randomness is due only to a random global sign and time shift.

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43

Derpich, Milan S., Matias Müller, and Jan Østergaard. "The Entropy Gain of Linear Systems and Some of Its Implications." Entropy 23, no. 8 (July 24, 2021): 947. http://dx.doi.org/10.3390/e23080947.

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We study the increase in per-sample differential entropy rate of random sequences and processes after being passed through a non minimum-phase (NMP) discrete-time, linear time-invariant (LTI) filter G. For LTI discrete-time filters and random processes, it has long been established by Theorem 14 in Shannon’s seminal paper that this entropy gain, (G), equals the integral of log|G|. In this note, we first show that Shannon’s Theorem 14 does not hold in general. Then, we prove that, when comparing the input differential entropy to that of the entire (longer) output of G, the entropy gain equals (G). We show that the entropy gain between equal-length input and output sequences is upper bounded by (G) and arises if and only if there exists an output additive disturbance with finite differential entropy (no matter how small) or a random initial state. Unlike what happens with linear maps, the entropy gain in this case depends on the distribution of all the signals involved. We illustrate some of the consequences of these results by presenting their implications in three different problems. Specifically: conditions for equality in an information inequality of importance in networked control problems; extending to a much broader class of sources the existing results on the rate-distortion function for non-stationary Gaussian sources, and an observation on the capacity of auto-regressive Gaussian channels with feedback.

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WANG, LI, ZHI WANG, and WEI-PING HUANG. "COMPARISON BETWEEN ULTRAFAST GAIN AND PHASE DYNAMICS IN SEMICONDUCTOR OPTICAL AMPLIFIERS." Journal of Nonlinear Optical Physics & Materials 19, no. 02 (June 2010): 319–25. http://dx.doi.org/10.1142/s0218863510005157.

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The ultrafast dynamics of gain and phase in bulk semiconductor optical amplifiers are numerically investigated over a broad band of about 200 nm based on the semiclassical method of density matrix equations. The gain dynamics and phase dynamics are compared in four different bands for 200 fs Gaussian pump pulse. It is predicted that the recovery time of phase may be longer or shorter than that of gain depending on probe wavelengths. Furthermore, phase recovery overshoot may appear at wavelengths shorter than the pump wavelength. These interesting features result from the competition between spectral-hole burning and carrier heating over the whole band.

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Liao, Zhiqiang, Kaijie Ma, Md Shamim Sarker, Siyi Tang, Hiroyasu Yamahara, Munetoshi Seki, and Hitoshi Tabata. "Quantum Analog Annealing of Gain‐Dissipative Ising Machine Driven by Colored Gaussian Noise." Advanced Theory and Simulations 5, no. 3 (January 11, 2022): 2100497. http://dx.doi.org/10.1002/adts.202100497.

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Buisson-Fenet, Mona, Valery Morgenthaler, Sebastian Trimpe, and Florent Di Meglio. "Joint State and Dynamics Estimation With High-Gain Observers and Gaussian Process Models." IEEE Control Systems Letters 5, no. 5 (November 2021): 1627–32. http://dx.doi.org/10.1109/lcsys.2020.3042412.

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Kruglov, Vladimir I., Claude Aguergaray, and John D. Harvey. "Parabolic and hyper-Gaussian similaritons in fiber amplifiers and lasers with gain saturation." Optics Express 20, no. 8 (March 30, 2012): 8741. http://dx.doi.org/10.1364/oe.20.008741.

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Hagler, Marion O., and Steven V. Bell. "Nyquist stability conditions for laser feedback amplifiers with Gaussian or Lorentzian gain profiles." Journal of the Optical Society of America A 3, no. 3 (March 1, 1986): 308. http://dx.doi.org/10.1364/josaa.3.000308.

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Perrone, M. R., A. Piegari, and S. Scaglione. "On the super-Gaussian unstable resonators for high-gain short-pulse laser media." IEEE Journal of Quantum Electronics 29, no. 5 (May 1993): 1423–87. http://dx.doi.org/10.1109/3.236157.

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Smith, C. P., and R. Dykstra. "Lorenz like chaos in a Gaussian mode laser with a radially dependent gain." Optics Communications 117, no. 1-2 (May 1995): 107–10. http://dx.doi.org/10.1016/0030-4018(95)00150-7.

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