Jitter Components Research Articles

Robust Video Stabilization based on Motion Decomposition

Video stabilization aims to eliminate camera jitter and improve the visual experience of shaky videos. Video stabilization methods often ignore the active movement of the foreground objects and the camera, and may result in distortion and over-smoothing problems. To resolve these issues, this paper proposes a novel video stabilization method based on motion decomposition. Since the inter-frame movement of foreground objects is different from that of the background, we separate foreground feature points from background feature points by modifying the classic density based spatial clustering method of applications with noise (DBSCAN). The movement of background feature points is consistent with the movement of the camera, which can be decomposed into the camera jitter and the active movement of the camera. And the movement of foreground feature points can be decomposed into the movement of the camera and the active movement of foreground objects. Based on motion decomposition, we design first-order and second-order trajectory smoothing constraints to eliminate the high-frequency and low-frequency components of the camera jitter. To reduce content distortion, shape-preserving constraints, and regularization constraints are taken to generate stabilized views of all feature points. Experimental results demonstrate the effectiveness and robustness of the proposed video stabilization method on a variety of challenging videos.

CEE inner TOF prototype design and preliminary test results

The Cooling Storage Ring (CSR) External-target Experiment (CEE) is the first multi-purpose nuclear physics experimental device to operate in the GeV energy range at the Heavy-Ion Research Facility (HIRFL-CSR) in Lanzhou, China.The primary goals of the CEE are to study the bulk properties of dense matter and to understand the quantum chromo-dynamic (QCD) phase diagram by measuring the charged particles produced in heavy-ion collisions at the target region with large acceptance. An inner time of flight (iTOF) system has been proposed to measure the multiplicity, angular distribution, and time information of the charged particles. Herein, we introduce the performance requirements of iTOF according to calculations and GEANT4 simulations. The proposed system is characterized by high granularity and time performance, hence, the conceptual design of the iTOF wall adopts high granularity Multi-gap Resistive Plate Chambers (MRPC) with a time resolution around 30 ps. To evaluate the MRPC design, the cosmic ray test was performed. A timing resolution better than 28 ps and an efficiency better than 98% have been achieved for MIPs, as interpreted by the cosmic ray GEANT4 simulation of time jitter components.

Investigation of noise amplification questions in satellite jitter detected from CCDs’ parallax observation imagery: A case for 3 CCDs

Parallax observations from adjacent CCDs have been applied to detect satellite jitter, and the highest detectable jitter frequency reaches up to half CCDs image line frequency, among which, however, not all frequencies’ jitter could be detected accurately. Jitter error mainly comes from the noise in offset data. In this research, it is found that at some frequencies the noise is amplified significantly, leading to seriously deviated jitter components and even unreliable jitter results. This research focuses on the noise-amplifying questions in jitter detection and explores what CCD parameters determine them. Firstly, the error transfer coefficients (ETC) between jitter and offset is derived, and the frequencies are divided into three categories: blind frequencies, noise-amplifying frequencies and noise-suppressing frequencies. Secondly, for two adjacent CCDs, formulas are established to determine their blind frequencies and noise-amplifying bands, which indicate that it is the two CCDs’ image line time tr and the distance l between the two CCDs’ first lines that determine their blind frequencies and noise-amplifying bands. The reciprocal of the product of tr and l is defined as the fundamental frequency F of the CCD pair. As a result, the blind frequencies and noise-amplifying bands both reoccur with a period of fundamental frequency F, but unlike those isolated bind frequencies, the noise-amplifying bands span much wider, up to nearly 1/3 jitter bandwidth. Thirdly, for three adjacent CCDs forming two CCD pairs, aliasing between the two pairs’ noise-amplifying bands is first proven to be inevitable and reoccurs in cycles. Formulas are then established to extract the aliasing components and compute the aliasing period length. Experiments and simulations are conducted to test the constructed theories. Results show that the RMSE is 7.127 ×10−5Hz for blind frequencies formulas, and the RRMSEs are 0.0051% for noise-amplifying bands’ period formulas, 0.0033% for aliasing period, and 1.2610% for noise-amplifying bandwidth, proving that the established formulas could generate reliable results for the blind frequencies, noise-amplifying bands and their aliasing components of three adjacent CCDs. Our studies are expected to help analyze more CCDs’ noise-amplifying problems and provide a prospect to reduce their impact on jitter detection by optimizing CCD parameter values.

Self-Calibration Spherical Video Stabilization Based on Gyroscope

With the development of handheld video capturing devices, video stabilization becomes increasingly important. The gyroscope-based video stabilization methods perform promising ability, since they can return more reliable three-dimensional (3D) camera rotation estimation, especially when there are many moving objects in scenes or there are serious motion blur or illumination changes. However, the gyroscope-based methods depend on the camera intrinsic parameters to execute video stabilization. Therefore, a self-calibrated spherical video stabilization method was proposed. It builds a virtual sphere, of which the spherical radius is calibrated automatically, and then projects each frame of the video to the sphere. Through the inverse rotation of the spherical image according to the rotation jitter component, the dependence on the camera intrinsic parameters is relaxed. The experimental results showed that the proposed method does not need to calibrate the camera and it can suppress the camera jitter by binding the gyroscope on the camera. Moreover, compared with other state-of-the-art methods, the proposed method can improve the peak signal-to-noise ratio, the structural similarity metric, the cropping ratio, the distortion score, and the stability score.

음성신호의 Jitter 성분의 장시간 변화에 관한 통계적 분석*

In this study, a method for measuring the jitter component in continuous speech is presented. In the conventional jitter measurement method, pitch variabilities are commonly measured from the sustained vowels. In the case of continuous speech, such as a spoken sentence, distortion occurs with the existing measurement method owing to the influence of prosody information according to the sentence. Therefore, we propose a method to reduce the pitch fluctuations of prosody information in continuous speech. To remove this pitch fluctuation component, a curve representing the fluctuation is obtained via polynomial interpolation for the pitch track in the analysis interval, and the shift is removed according to the curve. Subsequently, the variability of the pitch frequency is obtained by a method of measuring jitter from the trajectory of the pitch from which the shift is removed. To measure the effects of the proposed method, parameter values before and after the operations are compared using samples from the Kay Pentax MEEI database. The statistical analysis of the experimental results showed that jitter components from the continuous speech can be measured effectively by proposed method and the values are comparable to the parameters of sustained vowel from the same speaker.

Statistical structure of the trial-to-trial timing variability in synfire chains.

Timing and its variability are crucial for behavior. Consequently, neural circuits that take part in the control of timing and in the measurement of temporal intervals have been the subject of much research. Here we provide an analytical and computational account of the temporal variability in what is perhaps the most basic model of a timing circuit-the synfire chain. First we study the statistical structure of trial-to-trial timing variability in a reduced but analytically tractable model: a chain of single integrate-and-fire neurons. We show that this circuit's variability is well described by a generative model consisting of local, global, and jitter components. We relate each of these components to distinct neural mechanisms in the model. Next we establish in simulations that these results carry over to a noisy homogeneous synfire chain. Finally, motivated by the fact that a synfire chain is thought to underlie the circuit that takes part in the control and timing of the zebra finch song, we present simulations of a biologically realistic synfire chain model of the zebra finch timekeeping circuit. We find the structure of trial-to-trial timing variability to be consistent with our previous findings and to agree with experimental observations of the song's temporal variability. Our study therefore provides a possible neuronal account of behavioral variability in zebra finches.

A Multiswitch Open-Circuit Fault Diagnosis of Microgrid Inverter Based on Slidable Triangularization Processing

In this article, a robust inverter fault diagnosis algorithm is proposed under microgrid environment considering unbalanced state and overcurrent component interference. First, the detected signals are transformed into different data triangles by the proposed slidable triangularization processing which can conveniently and effectively extract the multiscale trend features and data jitter components. Further, the signed features are obtained by the proposed jitter signing processing method, which can reduce the influence of amplitude, and facilitate the logical operation and mixed operation. Then, a quantitative trend fault degree is calculated by the signed information to reflect the fault degree and location information, which has the characteristics of quantitative change. It can reduce the fluctuation and quantity of fault data features. Finally, echo state network is used to implement the intelligent classification. Because the design of hidden layer and the network training speed is simple and fast, which makes the design, implementation, and debugging of fault diagnosis more convenient. Compared with the existing fault diagnosis algorithms, it is robust to unbalanced state and overcurrent component interference of microgrid. These features make it more suitable for inverter fault diagnosis of microgrid environment. The effectiveness of fault diagnosis algorithm is verified by the experiments and comparisons.

A High-Speed Serial Digital Interface Video Signal Jitter Measurement Method

This paper designs a measurement method for high-speed serial digital interface video signal jitter. Firstly, we introduce the features of SDI signal and the jitter measurement methods of traditional high-speed serial signals. A jitter model is built for the SDI signal while the properties of the components are analysed. An adjusted dual-Dirac model is adopted to measure the jitter in the signal. This method can accurately analyse different jitter components in SDI signals. It is directly performed on oscilloscope, which is beneficial to the traceability of the jitter. The feasibility of the method is verified by experiments. The measurement results show that the method has better measurement accuracy than the direct spectrum method.

Jitter Decomposition of High-Speed Data Signals From Jitter Histograms With a Pole–Residue Representation Using Multilayer Perceptron Neural Networks

In the stringent timing requirements of high-speed systems, the effect of jitter on the bit-error rate and overall timing error can no longer be overlooked. As jitter timing budgets are normally specified in the form of individual jitter components, a fast and reliable jitter decomposition technique plays an integral part in the design and verification of high-speed data links. This article presents a machine learning approach to extract the random and deterministic jitter components from the timing histograms of the eye diagram. Training data are generated using the dual-Dirac model, and a preprocessing technique is proposed using vector fitting to create a rational function representation of the jitter probability distribution function. Numerical results indicate that the proposed method is able to perform jitter decomposition accurately and generalize well under different circumstances. In addition, results show that the preprocessing step is able to accelerate the training process and improve the overall performance of the neural networks significantly.

Fast and Accurate Decomposition of Deterministic Jitter Components in High-Speed Links

In a high-speed digital communication system, jitter performance plays a crucial role in bit-error rate. It is important to accurately derive each type of jitter as well as total jitter and to identify root causes of jitter by jitter decomposition as a key tool. In this paper, we extend our previously reported algorithm to decompose duty cycle distortion as well as other deterministic jitter components including periodic jitter (PJ), intersymbol interference (ISI), and random jitter (RJ), and describe more detail of this algorithm with extensively simulation and measurements to verify the algorithm. The proposed ISI model only requires the time invariant condition, which is true for almost all systems, while the traditional ISI model is valid only with linear time invariant assumption. Compared to the conventional methods, the proposed jitter decomposition method is able to obtain estimated individual jitter component values with good accuracy by using fewer samples of total jitter data. The efficiency and accuracy of the proposed method were demonstrated by simulation and hardware experiments.

A Cyclostationarity-Based Method for Jitter Measurement in Waveform Recorders

This paper proposes a novel method to characterize the jitter of waveform recorders by measuring the power spectral density (PSD) of the jitter components due to the phase noise of the sampling clock and the aperture delay in the sampling circuit. The method relies on a simple sinewave test, where the phase information is extracted from the acquired signal; however, the effects of the quantization and additive noise are minimized by exploiting the cyclostationary properties of the acquired sequence. The results in simulations and on digital storage oscilloscopes show the capability of the method of accurately measuring the PSDs of the considered components.

Compensation of orbit distortion due to quadrupole motion using feed-forward control at KEK ATF

The high luminosity requirement for a future linear collider sets a demanding limit on the beam quality at the Interaction Point (IP). One potential source of luminosity loss is the motion of the ground itself. The resulting misalignments of the quadrupole magnets cause distortions to the beam orbit and hence an increase in the beam emittance. This paper describes a technique for compensating this orbit distortion by using seismometers to monitor the misalignment of the quadrupole magnets in real-time.The first demonstration of the technique was achieved at the Accelerator Test Facility (ATF) at KEK in Japan. The feed-forward system consisted of a seismometer-based quadrupole motion monitoring system, an FPGA-based feed-forward processor and a stripline kicker plus associated electronics. Through the application of a kick calculated from the position of a single quadruple, the system was able to remove about 80% of the component of the beam jitter that was correlated to the motion of the quadrupole. As a significant fraction of the orbit jitter in the ATF final focus is due to sources other than quadrupole misalignment, this amounted to an approximately 15% reduction in the absolute beam jitter.

GLACIER VOLUME CHANGE ESTIMATION USING TIME SERIES OF IMPROVED ASTER DEMS

Abstract. Volume change data is critical to the understanding of glacier response to climate change. The Advanced Spaceborne Thermal Emission and Reflection Radiometer (ASTER) system embarked on the Terra (EOS AM-1) satellite has been a unique source of systematic stereoscopic images covering the whole globe at 15m resolution and at a consistent quality for over 15 years. While satellite stereo sensors with significantly improved radiometric and spatial resolution are available to date, the potential of ASTER data lies in its long consistent time series that is unrivaled, though not fully exploited for change analysis due to lack of data accuracy and precision. Here, we developed an improved method for ASTER DEM generation and implemented it in the open source photogrammetric library and software suite MicMac. The method relies on the computation of a rational polynomial coefficients (RPC) model and the detection and correction of cross-track sensor jitter in order to compute DEMs. ASTER data are strongly affected by attitude jitter, mainly of approximately 4 km and 30 km wavelength, and improving the generation of ASTER DEMs requires removal of this effect. Our sensor modeling does not require ground control points and allows thus potentially for the automatic processing of large data volumes. As a proof of concept, we chose a set of glaciers with reference DEMs available to assess the quality of our measurements. We use time series of ASTER scenes from which we extracted DEMs with a ground sampling distance of 15m. Our method directly measures and accounts for the cross-track component of jitter so that the resulting DEMs are not contaminated by this process. Since the along-track component of jitter has the same direction as the stereo parallaxes, the two cannot be separated and the elevations extracted are thus contaminated by along-track jitter. Initial tests reveal no clear relation between the cross-track and along-track components so that the latter seems not to be easily modeled analytically from the first one. We thus remove the remaining along-track jitter effects in the DEMs statistically through temporal DEM stacks to finally compute the glacier volume changes over time. Our method yields cleaner and spatially more complete elevation data, which also proved to be more in accordance to reference DEMs, compared to NASA’s AST14DMO DEM standard products. The quality of the demonstrated measurements promises to further unlock the underused potential of ASTER DEMs for glacier volume change time series on a global scale. The data produced by our method will help to better understand the response of glaciers to climate change and their influence on runoff and sea level.

GLACIER VOLUME CHANGE ESTIMATION USING TIME SERIES OF IMPROVED ASTER DEMS

Volume change data is critical to the understanding of glacier response to climate change. The Advanced Spaceborne Thermal Emission and Reflection Radiometer (ASTER) system embarked on the Terra (EOS AM-1) satellite has been a unique source of systematic stereoscopic images covering the whole globe at 15m resolution and at a consistent quality for over 15 years. While satellite stereo sensors with significantly improved radiometric and spatial resolution are available to date, the potential of ASTER data lies in its long consistent time series that is unrivaled, though not fully exploited for change analysis due to lack of data accuracy and precision. Here, we developed an improved method for ASTER DEM generation and implemented it in the open source photogrammetric library and software suite MicMac. The method relies on the computation of a rational polynomial coefficients (RPC) model and the detection and correction of cross-track sensor jitter in order to compute DEMs. ASTER data are strongly affected by attitude jitter, mainly of approximately 4 km and 30 km wavelength, and improving the generation of ASTER DEMs requires removal of this effect. Our sensor modeling does not require ground control points and allows thus potentially for the automatic processing of large data volumes. <br><br> As a proof of concept, we chose a set of glaciers with reference DEMs available to assess the quality of our measurements. We use time series of ASTER scenes from which we extracted DEMs with a ground sampling distance of 15m. Our method directly measures and accounts for the cross-track component of jitter so that the resulting DEMs are not contaminated by this process. Since the along-track component of jitter has the same direction as the stereo parallaxes, the two cannot be separated and the elevations extracted are thus contaminated by along-track jitter. Initial tests reveal no clear relation between the cross-track and along-track components so that the latter seems not to be easily modeled analytically from the first one. We thus remove the remaining along-track jitter effects in the DEMs statistically through temporal DEM stacks to finally compute the glacier volume changes over time. Our method yields cleaner and spatially more complete elevation data, which also proved to be more in accordance to reference DEMs, compared to NASA’s AST14DMO DEM standard products. <br><br> The quality of the demonstrated measurements promises to further unlock the underused potential of ASTER DEMs for glacier volume change time series on a global scale. The data produced by our method will help to better understand the response of glaciers to climate change and their influence on runoff and sea level.

Optical transfer functions, weighting functions, and metrics for images with two-dimensional line-of-sight motion

We define the displacement, smear, and jitter components of image motion and derive the two-dimensional statistical image motion optical transfer function (OTF) corresponding to each component. These statistical OTFs are parameterized by means and covariances, which are computed most conveniently from a weighted power spectrum of the line-of-sight motion. Another feature of these results is the realization that all temporal and spatial frequencies contribute to each statistical OTF and that one can determine the frequencies that contribute most significantly to each OTF. Additionally, optical system design is typically based upon the properties of an individual image. In a comprehensive optical system design, the statistical properties of an ensemble of images should also be considered. For individual images subject to a constant but possibly unknown smear length, the OTF is a sinc function. This is called a deterministic smear OTF because it does not describe the smear statistically. The statistical smear OTF describes the average smear OTF for an ensemble of images.

Modelling the RV jitter of early-M dwarfs using tomographic imaging

In this paper we show how tomographic imaging (Zeeman Doppler Imaging, ZDI) can be used to characterize stellar activity and magnetic field topologies, ultimately allowing to filter out the radial velocity (RV) activity jitter of M-dwarf moderate rotators. This work is based on spectropolarimetric observations of a sample of five weakly-active early M-dwarfs (GJ 205, GJ 358, GJ 410, GJ479, GJ 846) with HARPS-Pol and NARVAL. These stars have v sin i and RV jitters in the range 1-2 km/s and 2.7-10.0 m/s rms respectively. Using a modified version of ZDI applied to sets of phase-resolved Least-Squares- Decon- volved (LSD) profiles of unpolarized spectral lines, we are able to characterize the distribution of active regions at the stellar surfaces. We find that darks spots cover less than 2% of the total surface of the stars of our sample. Our technique is e cient at modeling the rotationally mod- ulated component of the activity jitter, and succeeds at decreasing the amplitude of this com- ponent by typical factors of 2-3 and up to 6 in optimal cases. From the rotationally modulated time-series of circularly polarized spectra and with ZDI, we also reconstruct the large-scale magnetic field topology. These fields suggest that bi-stability of dynamo processes observed in active M dwarfs may also be at work for moderately active M dwarfs. Comparing spot distributions with field topologies suggest that dark spots causing activity jitter concentrate at the magnetic pole and/or equator, to be confirmed with future data on a larger sample.

A 1.7 GHz Fractional-N Frequency Synthesizer Based on a Multiplying Delay-Locked Loop

Although multiplying delay-locked loops allow clock frequency multiplication with very low phase noise and jitter, their application has been so far limited to integer-N multiplication, and the achieved reference-spur performance has been typically limited by time offsets. This paper presents the first published multiplying delay-locked loop achieving fine fractional-N frequency resolution, and introduces an automatic cancellation of the phase detector offset. Both capabilities are enabled by insertion of a digital-to-time converter in the reference path. The proposed synthesizer, implemented in a standard 65 nm CMOS process, occupies a core area of 0.09 mm $^{2}$ , and generates a frequency ranging between 1.6 and 1.9 GHz with a 190 Hz resolution from a 50 MHz quartz-based reference oscillator. In fractional-N mode, the integrated RMS jitter, including random and deterministic components, is below 1.4 ps at 3 mW power consumption, leading to a jitter-power figure of merit of $-$ 232 dB. In integer-N mode, the circuit achieves RMS jitter of 0.47 ps at 2.4 mW power and figure of merit of $-$ 243 dB. Thanks to the adoption of the automatic offset cancellation, the reference-spur level is reduced from $-$ 32 to $-$ 55 dBc.

Generalized Partial Response Equalization and Data-Dependent Noise Predictive Signal Detection Over Media Models for TDMR

Two-dimensional magnetic recording (2-D TDMR) is an emerging technology that aims to achieve areal densities as high as 10 Tb/in2 using sophisticated 2-D signal-processing algorithms. High areal densities are achieved by reducing the size of a bit to the order of the size of magnetic grains, resulting in severe 2-D intersymbol interference (ISI). Jitter noise due to irregular grain positions on the magnetic medium is more pronounced at these areal densities. Therefore, a viable read-channel architecture for TDMR requires 2-D signal-detection algorithms that can mitigate 2-D ISI and combat noise comprising jitter and electronic components. Partial response maximum likelihood (PRML) detection scheme allows controlled ISI as seen by the detector. With the controlled and reduced span of 2-D ISI, the PRML scheme overcomes practical difficulties such as Nyquist rate signaling required for full response 2-D equalization. As in the case of 1-D magnetic recording, jitter noise can be handled using a data-dependent noise-prediction (DDNP) filter bank within a 2-D signal-detection engine. The contributions of this paper are threefold: 1) we empirically study the jitter noise characteristics in TDMR as a function of grain density using a Voronoi-based granular media model; 2) we develop a 2-D DDNP algorithm to handle the media noise seen in TDMR; and 3) we also develop techniques to design 2-D separable and nonseparable targets for generalized partial response equalization for TDMR. This can be used along with a 2-D signal-detection algorithm. The DDNP algorithm is observed to give a 2.5 dB gain in SNR over uncoded data compared with the noise predictive maximum likelihood detection for the same choice of channel model parameters to achieve a channel bit density of 1.3 Tb/in2 with media grain center-to-center distance of 10 nm. The DDNP algorithm is observed to give $\sim$ 10% gain in areal density near 5 grains/bit. The proposed signal-processing framework can broadly scale to various TDMR realizations and areal density points.

An 8 GHz First-Order Frequency Synthesizer for Low-Power On-Chip Clock Generation

This paper presents a low-power first-order frequency synthesizer architecture suitable for high-speed on-chip clock generation. The proposed design features an architecture combining an LC quadrature voltage-controlled oscillator (VCO), two sample-and-holds, a phase interpolator, digital coarse-tuning and rotational frequency detection for fine-tuning. Similar to multiplying delay-locked loops (MDLLs), this architecture limits jitter accumulation to one reference cycle, as jitter during one reference cycle does not contribute to the next reference cycles. Also, instead of using multiplexer switches commonly employed in MDLLs, the reference clock edge is injected by phase interpolation to support higher frequencies and lower jitter. Functionality of the frequency synthesizer is validated between 8-9.5 GHz, LC VCO's range of operation. First-order dynamic of the acquisition has been analyzed and demonstrated through measurement. The output clock at 8 GHz has an integrated rms jitter of 490 fs, peak-to-peak periodic jitter of 2.06 ps and total rms jitter of 680 fs. Different components of jitter have been analyzed and separate measurements have been done to support the analysis. The reference spurs are measured to be -64.3 dB below the carrier frequency. At 8 GHz the system consumes 2.49 mW from a 1 V supply.

Analysis of combined radial velocities and activity of BD+20 1790: evidence supporting the existence of a planetary companion

This paper presents the simultaneous Bayesian analysis of the radial velocity and activity indices for the K5Ve active star BD+20 1790, that was proposed to host a close-in massive planet by Hern\'an-Obispo et al. (2010). The Bayesian analysis supports the hypothesis of a planetary companion. We present a new orbital solution after removing the two main contributions to the stellar jitter, one that varies with the photometric period and another that varies with the synodic period of the star+planet system. We use a new method to determine these jitter components, considering them as a second and third signals in the system. A discussion on possible magnetic star-planet-interaction is included, based on the Bayesian analysis of the activity indices. We propose two possible sources for flare events of this star: one related to the geometry of the system and the relative movement of the star+planet, and a second one purely stochastic source that is related to the evolution of stellar active regions. Also, we observe for the first time the magnetic field of the star, from spectropolarimetric data.