Jitter

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In

communications links
.

Jitter can be quantified in the same terms as all time-varying signals, e.g.,

peak-to-peak displacement. Also, like other time-varying signals, jitter can be expressed in terms of spectral density
.

Jitter period is the interval between two times of maximum effect (or minimum effect) of a signal characteristic that varies regularly with time. Jitter frequency, the more commonly quoted figure, is its inverse. ITU-T G.810 classifies deviation lower frequencies below 10 Hz as wander and higher frequencies at or above 10 Hz as jitter.[2]

Jitter may be caused by electromagnetic interference and crosstalk with carriers of other signals. Jitter can cause a display monitor to flicker, affect the performance of processors in personal computers, introduce clicks or other undesired effects in audio signals, and cause loss of transmitted data between network devices. The amount of tolerable jitter depends on the affected application.

Metrics

For clock jitter, there are three commonly used metrics:

Absolute jitter
The absolute difference in the position of a clock's edge from where it would ideally be.
Maximum time interval error (MTIE)
Maximum error committed by a clock under test in measuring a time interval for a given period of time.
Period jitter (a.k.a. cycle jitter)
The difference between any one clock period and the ideal or average clock period. Period jitter tends to be important in synchronous circuitry such as digital state machines where the error-free operation of the circuitry is limited by the shortest possible clock period (average period less maximum cycle jitter), and the performance of the circuitry is set by the average clock period. Hence, synchronous circuitry benefits from minimizing period jitter, so that the shortest clock period approaches the average clock period.
Cycle-to-cycle jitter
The difference in duration of any two adjacent clock periods. It can be important for some types of clock generation circuitry used in
RAM
interfaces.

In

OC-192
. Absolute units such as picoseconds are more common in microprocessor applications. Units of degrees and radians are also used.

In the normal distribution one standard deviation from the mean (dark blue) accounts for about 68% of the set, while two standard deviations from the mean (medium and dark blue) account for about 95% and three standard deviations (light, medium, and dark blue) account for about 99.7%.

If jitter has a

Gaussian distribution, it is usually quantified using the standard deviation
of this distribution. This translates to an RMS measurement for a zero-mean distribution. Often, jitter distribution is significantly non-Gaussian. This can occur if the jitter is caused by external sources such as power supply noise. In these cases, peak-to-peak measurements may be more useful. Many efforts have been made to meaningfully quantify distributions that are neither Gaussian nor have a meaningful peak level. All have shortcomings but most tend to be good enough for the purposes of engineering work.

In

packets
.

Types

One of the main differences between random and deterministic jitter is that deterministic jitter is bounded and random jitter is unbounded.[3][4]

Random jitter

Random jitter, also called Gaussian jitter, is unpredictable electronic timing noise. Random jitter typically follows a

electrical circuit
.

Deterministic jitter

Deterministic jitter is a type of clock or data signal jitter that is predictable and reproducible. The peak-to-peak value of this jitter is bounded, and the bounds can easily be observed and predicted. Deterministic jitter has a known non-normal distribution. Deterministic jitter can either be correlated to the data stream (data-dependent jitter) or uncorrelated to the data stream (bounded uncorrelated jitter). Examples of data-dependent jitter are duty-cycle dependent jitter (also known as duty-cycle distortion) and intersymbol interference.

Total jitter

n BER
6.4 10−10
6.7 10−11
7 10−12
7.3 10−13
7.6 10−14

Total jitter (T) is the combination of random jitter (R) and deterministic jitter (D) and is computed in the context to a required bit error rate (BER) for the system:[7]

T = Dpeak-to-peak + 2nRrms,

in which the value of n is based on the BER required of the link.

A common BER used in communication standards such as Ethernet is 10−12.

Examples

Sampling jitter

In analog-to-digital and digital-to-analog conversion of signals, the sampling is normally assumed to be periodic with a fixed period—the time between every two samples is the same. If there is jitter present on the clock signal to the analog-to-digital converter or a digital-to-analog converter, the time between samples varies and instantaneous signal error arises. The error is proportional to the slew rate of the desired signal and the absolute value of the clock error. The effect of jitter on the signal depends on the nature of the jitter. Random jitter tends to add broadband noise while periodic jitter tends to add errant spectral components, "birdys". In some conditions, less than a nanosecond of jitter can reduce the effective bit resolution of a converter with a Nyquist frequency of 22 kHz to 14 bits.[8]

Sampling jitter is an important consideration in high-frequency signal conversion, or where the clock signal is especially prone to interference.

In digital antenna arrays ADC and DAC jitters are the important factors determining the direction of arrival estimation accuracy[9] and the depth of jammers suppression.[10]

Packet jitter in computer networks

In the context of computer networks, packet jitter or packet delay variation (PDV) is the variation in latency as measured in the variability over time of the end-to-end delay across a network. A network with constant delay has no packet jitter.[11] Packet jitter is expressed as an average of the deviation from the network mean delay.[12] PDV is an important quality of service factor in assessment of network performance.

Transmitting a burst of traffic at a high rate followed by an interval or period of lower or zero rate transmission may also be seen as a form of jitter, as it represents a deviation from the average transmission rate. However, unlike the jitter caused by variation in latency, transmitting in bursts may be seen as a desirable feature,[citation needed] e.g. in variable bitrate transmissions.

Video and image jitter

Video or image jitter occurs when the horizontal lines of video image frames are randomly displaced due to the corruption of synchronization signals or electromagnetic interference during video transmission. Model-based dejittering study has been carried out under the framework of digital image and video restoration.[13]

Testing

Jitter in serial bus architectures is measured by means of eye patterns. There are standards for jitter measurement in serial bus architectures. The standards cover jitter tolerance, jitter transfer function and jitter generation, with the required values for these attributes varying among different applications. Where applicable, compliant systems are required to conform to these standards.

Testing for jitter and its measurement is of growing importance to electronics engineers because of increased clock frequencies in digital electronic circuitry to achieve higher device performance. Higher clock frequencies have commensurately smaller eye openings, and thus impose tighter tolerances on jitter. For example, modern computer motherboards have serial bus architectures with eye openings of 160 picoseconds or less. This is extremely small compared to parallel bus architectures with equivalent performance, which may have eye openings on the order of 1000 picoseconds.

Jitter is measured and evaluated in various ways depending on the type of circuit under test.[14] In all cases, the goal of jitter measurement is to verify that the jitter will not disrupt normal operation of the circuit.

Testing of device performance for jitter tolerance may involve injection of jitter into electronic components with specialized test equipment.

A less direct approach—in which analog waveforms are digitized and the resulting data stream analyzed—is employed when measuring pixel jitter in frame grabbers.[15]

Mitigation

Anti-jitter circuits

Anti-jitter circuits (AJCs) are a class of

digital communications, as well as for data sampling systems such as the analog-to-digital converter and digital-to-analog converter. Examples of anti-jitter circuits include phase-locked loop and delay-locked loop
.

Jitter buffers

Jitter buffers or de-jitter buffers are

media stream transmitted over the network.[16] The maximum jitter that can be countered by a de-jitter buffer is equal to the buffering delay introduced before starting the play-out of the media stream. In the context of packet-switched networks, the term packet delay variation
is often preferred over jitter.

Some systems use sophisticated delay-optimal de-jitter buffers that are capable of adapting the buffering delay to changing network characteristics. The adaptation logic is based on the jitter estimates computed from the arrival characteristics of the media packets. Adjustments associated with adaptive de-jittering involves introducing discontinuities in the media play-out which may be noticeable to the listener or viewer. Adaptive de-jittering is usually carried out for audio play-outs that include voice activity detection that allows the lengths of the silence periods to be adjusted, thus minimizing the perceptual impact of the adaptation.

Dejitterizer

A dejitterizer is a device that reduces jitter in a

elastic buffer
in which the signal is temporarily stored and then retransmitted at a rate based on the average rate of the incoming signal. A dejitterizer may not be effective in removing low-frequency jitter (wander).

Filtering and decomposition

A filter can be designed to minimize the effect of sampling jitter.[18]

A jitter signal can be decomposed into

intrinsic mode functions (IMFs), which can be further applied for filtering or dejittering.[citation needed
]

See also

References

  1. .
  2. ^ "FTB-8080 Sync Analyzer: Resolving Synchronization Problems in Telecom Networks" (PDF). EXFO. Application note 119. Archived from the original (PDF) on 2012-02-07. Retrieved 2012-08-05.
  3. ^ Hagedorn, Julian; Alicke, Falk; Verma, Ankur (August 2017). "How to Measure Total Jitter" (PDF). Texas Instruments. SCAA120B. Retrieved 2018-07-17.
  4. ^ "Understanding Jitter Calculations". Teledyne Technologies. July 9, 2014. Retrieved 2018-07-17.
  5. ^ Hagedorn, Julian; Alicke, Falk; Verma, Ankur (August 2017). "How to Measure Total Jitter" (PDF). Texas Instruments. SCAA120B. Retrieved 2018-07-17.
  6. ^ "Understanding Jitter Calculations". Teledyne Technologies. July 9, 2014. Retrieved 2018-07-17.
  7. ^ Stephens, Ransom. "The Meaning of Total Jitter" (PDF). Tektronix. Archived (PDF) from the original on 2022-10-09. Retrieved 2018-07-17.
  8. .
  9. (PDF) from the original on 2022-10-09.
  10. ^ Bondarenko M.V., Slyusar V.I. "Limiting depth of jammer's suppression in a digital antenna array in conditions of ADC jitter.// 5th International Scientific Conference on Defensive Technologies, OTEH 2012. - 18 - 19 September, 2012. - Belgrade, Serbia. - Pp. 495 - 497" (PDF). Archived (PDF) from the original on 2022-10-09.
  11. .
  12. .
  13. .
  14. ^ M. Bondarenko and V.I. Slyusar. "Methods for estimating the ADC jitter in noncoherent systems. // Radioelectronics and Communications Systems. - Volume 54, Number 10, 2011. – Pp. 536 - 545. - DOI: 10.3103/S0735272711100037" (PDF). Archived (PDF) from the original on 2022-10-09.
  15. ^ Khvilivitzky, Alexander (2008). "Pixel Jitter in Frame Grabbers". Retrieved 2015-03-09.
  16. ^ Jitter Buffer
  17. ^ Public Domain This article incorporates public domain material from "dejitterizer". Federal Standard 1037C. General Services Administration. Archived from the original on 2022-01-22.
  18. .

Further reading

External links

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