高速串行信号中的时钟恢复重要性_Clock Recovery Primer Part 1
高速串行信号中的时钟恢复重要性_Clock Recovery Primer Part 1

Clock Recovery Primer, Part 1 PrimerPrimer/bertscope2Table of Contentsed?........................................3How.Does.Clock.Recovery.Work?. (3)PLL-Based Clock Recovery ..............................................4Generic Phased Lock Loop Block Diagram .......................4What it Does .....................................................................4How it Works ....................................................................4What Does a Measured Loop ResponseLook Like? (5)Examples (6)Example 1: Testing a 10 Gb/s Clock Recovery Circuit (6)Example 2: Behavior of a Clock Data Recovery (CDR)Circuit (8)Where.Does.Clock.Recovery.Appear.in..Measurements? (12)Loop Bandwidth Setting in Measurements (14)The.Effect.of.Peaking....................................................15The.Effect.of.Transition.Density.and.Anomalous.Clock.Recovery.Behavior.. (16)Pattern Effects ................................................................16Anomalous Locking .. (16)Where.to.Go.Next..........................................................17Acknowledgements.......................................................17References.. (18)/bertscope 3Clock Recovery Primer, Part 1AbstractClock recovery is a common part of many measure-ments, whether as part of the test setup or part of the device under test. We’re going to look at clock recovery from a practical point of view, with emphasis on how it affects measurements. This document closely mirrors the poster “The Anatomy of Clock Recovery, Part 1.”Why is Clock Recovery Used?Most gigabit communication systems are synchronous; that is, the data within them is timed against a common clock. High speed systems (such as serial buses and optical) usually send NRZ (Non-Return to Zero) data, coded to have the clock it is timed against embedded within it. Whether traveling across inches of circuit board, or across continents on optical fiber, the relationship between data and the clock it is timed against can become disturbed. Extracting clock directly from the data ensures that data regeneration at the receiver can be achieved correctly.Receivers typically improve the incoming data before passing it on. They do this by passing it through a decision circuit that retimes the data and squares up the pulses. This process isdependent upon a clock signal synchronous with the incoming data, hence the use of clock recovery inside the receiver. Timing variations such as jitter on the incoming data can be reduced or removed if the clock used for retiming moves in the same way at the same time.As we will see, in practice the operation is more complex than this, and the frequency of the incoming jitter is important.How Does Clock Recovery Work?There are many different architectures for clock recovery, and a large amount of literature describing the advantages and disadvantages of each. In measurement equipment, the most common type is based on a phase locked loop (PLL). We will look at this in more detail in a moment. Before we do, it is worth noting that other architectures have been used in measurement equipment in the past.Older sampling scope clock recovery modules were often feed-forward designs with fixed frequency filters switched in for each rate. Suitable band pass filters are difficult to make with narrow bands. They have also not been frequency agile, and will not track data with moving center frequencies, such as is found in spread spectrum clocking (SSC; see poster “Anatomy of Clock Recovery, Part 2”).Figure.1..If clock and data were to move in time by the same amount at the same time, a decision circuit could remove the effect of jitter.Primer/bertscope4PLL-Based Clock RecoveryClock recovery is usually applied to NRZ data. Unlike PLLs used in RF applications, data signals require modification to the PLL design. One challenge is the property of NRZ (Non-Return to Zero) data that there is no discrete spectral line at the data rate. This restricts the types of phase detector that can be employed in the PLL. Examples include Bang-Bang and Hogge designs.Generic Phased Lock Loop Block Diagram What it DoesA Voltage Controlled Oscillator (VCO) free-runs initially, near the data rate of interest.A portion of the VCO signal forms one input to a phase detector.The other input to the phase detector is the incoming data. The phase detector compares the phases of the two inputs and produces an output voltage related to the phase difference (the ‘Error Signal’ above).Usually this signal is filtered in some way before it becomes the frequency control voltage of the VCO.The error signal is a demodulated, high pass filtered equivalent of the jitter present on the input data.Many different circuits can be used for the Loop Filter for different applications.How it WorksThe aim of the recovery circuit is to derive a clock that is synchronous with the incoming data.Its ability to do this is dependent upon seeing transitions in the data.For data segments with runs of identical bits, the PLL must still stay locked.The loop gain, K, has the most significant effect on the loop bandwidth and speed. Any filtering within the loop filter typically has a secondary effect [1], p.21.The system transfer function (the normal loop response seen in literature, referred to as ‘H(s)’), performs a low pass filtering operation on the phase modulation of the input signal.The error response transfer function (referred to as ‘E(s)’) performs a high pass filtering function.The loop tracks input phase modulation within the loop bandwidth, and fails to track phase modulation outside the bandwidth.This gives the loop the ability to track low frequency jitter, but to ignore high frequency jitter outside the loop bandwidth of the PLL.Figure.2..NRZ spectrum showing one challenge for clock recovery – the lack of adiscrete spectral line at the bit rate.Figure.3..PLL Block Diagram./bertscope 5Clock Recovery Primer, Part 1What Does a Measured Loop Response Look Like?A measured loop response is shown in Figure 4.One measure of the jitter tracking characteristic of a PLL is the loop bandwidth (LBW). This is often measured as the point where the transfer function of (jitter out/jitter in) is –3 dB. This is not the only way that loops can be defined [1], pp. 17–18.A wide loop bandwidth sounds ideal. However, it is usually cost and technology dependent. Wide loop bandwidths contribute more noise/random jitter. A wide loop bandwidth improves jitter tolerance; a narrow loop bandwidthremoves more jitter from the recovered clock (beneficial to downstream synchronizers) but impairs jitter tolerance. Current loop bandwidths used in measurements are typically in the range from 1 to 10 MHz.Figure.4..A measured loop response showing a PLL tracking the input jitter (left side) and then failing to track the jitter (right side).Primer/bertscope6ExamplesWe are going to look at two examples of clock recovery measurements, one with a commercial clock recovery component (Section 4), the other with a commercial clock/data recovery chip (Section 5). In each case, the classical method of test is to use sinusoidal jitter (SJ) and to change modulation frequency. Here we will keep the jitter amplitude constant throughout.Example 1: Testing a 10 Gb/s Clock Recovery CircuitRecovered clock is derived from jittered dataRecovered clock tracks less and less jitter as the frequency of jitter on the data is increasedRecovered clock is compared against jittered data in the analyzerThe analyzer measures jitter relative to the clock trigger signalIn this way, we can measure the clock recovery error transfer functionWideband equipment, such as BERTs and oscilloscopes, has intrinsic jitter that masks the loop responses at low levels in measurements such as this. As we will see later, the portions of loop responses not visible here can still have significant effects, manifesting themselves as eye closure and bit errors in some situations.Figure.5..The effect of the intrinsic jitter of a wideband measuring instrument on loopmeasurements./bertscope 7Clock Recovery Primer, Part 1Figure.6..Deriving a clock trigger from data and using it to trigger a measurement. The response is sometimes called the ‘Observed Jitter Transfer Function.’Primer/bertscope8Example 2: Behavior of a Clock Data Recovery (CDR) CircuitA CDR recovers clock from incoming data, then uses the recovered clock as the reference to trigger a retiming flip-flop to clean up the incoming data. This measurement setup used a commercially available clock data recovery chip testedat 2.488 Gb/s, with a PRBS-7 pattern and 40% (0.4 UI) Sinusoidal Jitter signal of varying modulation frequency. The amplitude is constant; only the modulation frequency is varied, in the same way receiver clock recovery is traditionally tested. All analyzer measurements show data signal relative to the trigger.Figure.7..The chip being measured.Figure.8..The chip used for these measurements./bertscope 9Clock Recovery Primer, Part 1Figure.9.1.and.9.2..Two measurement configurations of the CDR chip. The measured responses are also shown in the graph of Figure 10.Primer/bertscope10Figure.9.3.and.9.4..Two further measurement configurations of the CDR chip. The measured responses are also shown in the graph of Figure 10./bertscope 11Clock Recovery Primer, Part 1Conclusions.for.Example.2Recovered clock jitter below the loop bandwidth tracks the input jitterRecovered clock jitter above the loop bandwidth is attenuated, so the recovered clock does not track high frequency jitterJitter of retimed data is dominated by the jitter of the retiming clockHigh frequency jitter on incoming data can be of sufficiently high amplitude to cause bit-detection errors, even though the retimed, regenerated data stream appears clean on an analyzer screenTriggering of test equipment plays a crucial role in the results obtainedFigure.10..Overlaid responses of the CDR chip measured as detailed in Figure 9.Primer/bertscope12Where Does Clock Recovery Appear in Measurements?Clock recovery can be part of the device under test, and also of the test setup. Typically, when it is part of the test setup, it is intended to emulate the behavior of a receiver, particularly in tracking low frequency jitter. Ideally, this means that only jitter beyond the clock recovery tracking range of a typical receiver is seen on the test equipment eye diagram.Figure.11..The figure shows where clock recovery can appear in a device under test, and test equipment used to characterize it./bertscope 13Clock Recovery Primer, Part 1Figure.12..Building on Figure 11, the table gives details of how clock recovery is used, and what can go wrong.Primer/bertscope14Loop Bandwidth Setting in MeasurementsLoop bandwidth can have a significant effect on the observed jitter in a measurement. Varying the loop bandwidth can give an indication of the jitter spectrum. The loop bandwidthschosen for testing could be very narrow (for example, to show all the jitter a transmitter under test is creating) or wide (for example, to show only the jitter that a transmitter produces that its intended system receiver is not able to filter out with its own PLL). Typically, it is the latter, and such a clock recovery is referred to as a “Golden PLL.” A system designer is mainly interested in jitter that is beyond the capabilities of the receiver to track.Some standards (like FB-DIMM) have a range of loopbandwidths specified. While test instruments should emulate the characteristics of the test device, a range in parameters could lead to unintended results.For transmitter testing, it might be desirable to have a high loop bandwidth to make the tested transmitter look as good as possible (the transmitter intrinsic jitter is largely tracked out, so it doesn’t appear in the measurement, making the transmitter look good).For receiver jitter tolerance, the stressed eye is often set up using jitter measured on an eye diagram. The aim might be to stress the eye with jitter beyond the effect of the receiver clock recovery’s ability to track it out. If the clock recovery used for stress calibration has a lower loop bandwidth than the receiver under test will, some jitter will be included in the eye measurement that will be tracked out by the receiver. This could make the composition of the finished stressed eye less demanding than it should be.ing the same jittered signal, eye diagrams measured against a recoveredclock with narrow and wide loop bandwidth settings.Figure.14..Transmitter testing and the effect of changing loop bandwidth.Figure.15..Receiver testing and the effect of changing loop bandwidth./bertscope 15Clock Recovery Primer, Part 1The Effect of PeakingPeaking is a region near the loop bandwidth where the jitter out of a clock recovery device can be greater than the jitter input. Standards often restrict the amount of allowed peaking. The reasons why this is done are evident from the following measurements.An instrument-grade clock recovery with configurable slope and peaking was used for this measurement Loop bandwidth was set to 1 MHzThe stimulus was a fixed 400 kHz sinusoidal jitter input signal to the clock recoveryThe loop was set to 0 dB peaking (red measured response) and +3 dB peaking (green measured response).The eye diagram from the green response shows jitter gain — more jitter out of the device than was present on the input.3 dB equates to a factor of 1.41.Confirms that jitter gain is indeed +3 dB: 35 ps input x 1.41 = 49 ps jitter output.Many standards restrict the amount of peaking allowed (see table on “Anatomy of Clock Recovery, Part 2” poster). Jitter gain, particularly in a repeatered system, is highly undesirable.Peaking increases the noise/random jitter.Figure.16..Measurement of a clock recovery instrument using the same input signal containing jitter. Varying the peaking can increase the jitter beyond the amount presenton the input.Primer/bertscope16The Effect of Transition Density and Anomalous Clock Recovery BehaviorWe will look at two loop effects; the first relating the transition density of different patterns and how this affects clock recovery; the second, how locking can go wrong.Pattern EffectsThe pattern “101010…” has a transition density of 100% (every bit has a transition). PRBS patterns have an average transition density identical to a "1100" pattern — i.e., 50%. Other patterns may have a lower transition density, or one that changes in certain sections of the same pattern (such as some sections of long PRBS patterns).The number of transitions controls the amount of energy going into the clock recovery loop. The energy in the loop affects the loop parameters, including loop gain and loop bandwidth. Therefore changing patterns can alter the loop behavior.Halving the transition density can have the effect ofapproximately halving the loop bandwidth for most loop designs. Some instrument grade clock recovery solutions calibrate loop bandwidth based on the measured transition density of the incoming data. Care must be taken — some standards specify loop bandwidth at a particular transition density, and assume that the loop bandwidth will be different for measurements using the required test patterns.Anomalous LockingSidelocking- Signals with periodic modulation produce discrete spectral lines - Narrow band PLL can lock on to any sufficiently high amplitude discrete spectral line, whether the carrier or not - Called ‘sidelocking’- Short PRBS patterns have fewer, higher energy spectral lines that are widely spaced, so can be more problematic than long PRBS patterns Harmonic Locking- Data, like square wave modulation, has harmonics that can provide opportunities to lock at multiples of the desired frequency - This can also happen with some designs ofphase detectors for subharmonics, and fractional subharmonics, particularly for long runs of ones or zeros [1], p. 341These are some reasons why instrument clock recovery solutions usually require an initial frequency to be accurately established prior to acquisition.Figure.17..Conceptual view of sidelocking.Figure.18..Conceptual view of harmonic locking./bertscope 17Clock Recovery Primer, Part 1Where to Go NextIn the same way that the second “Anatomy of Clock Recovery” poster tackles more complex topics, there is a companion second primer [16], “Anatomy of Clock Recovery, Part 2,” which can be downloaded from the website.In this companion paper, the following topics are discussed: Survey of clock recovery used in various standards Types and orders Spread spectrum clocking Clock recovery and stress testingThe effect of trigger delay in measurements Distributed clock schemes Clock domainsAcknowledgementsConsiderable help has been generously given by the following people:Floyd M. GardnerEric Kvamme, Hollis Poche, Maxtor Corporation Harvey Newman, Infineon Technologies Stretch Camnitz, Avago Technologies Mark Marlett, LSI LogicRansom Stephens, Teraspeed Consulting John Calvin, TektronixGerry Talbot, Advanced Micro DevicesPrimer/bertscope18References[1] Gardner, Floyd M. 2005, 3rd Ed. Phaselock Techniques.New Jersey, John Wiley & Sons Inc. The original and definitive textbook on PLLs. Revised edition has much improved introductory chapters.[2] Best, Roland E. 2003, 5th Ed. Phase-Locked Loops,Design, Simulation and Applications. New York,McGraw-Hill. Includes instructive PLL simulation software on CD-ROM.[3] Kroupa, Venceslav F . 2003. Phase Lock Loops andFrequency Synthesis. John Wiley & Sons, Ltd., United Kingdom.[4] 10 Gigabit Ethernet and XAUI: search on “802.3aeTM”Governing body (and owner of trademark) [5] Fibre Channel information: Fibre Channel IndustryAssociation, /[6] OIF CEI standard: /public/impagreements.html [7] Serial ATA standard: [8] SONET information: GR-253-CORE, SynchronousOptical Network (SONET) Transport Systems: Common Generic Criteria, /[9] SDH information: http://www.itu.int/ITU-T/, G.xxxseries of documents, for example G.957 was anoriginal defining document for optical interfaces, G.958 described jitter.[10] XFP and XFI information: [11] Fully Buffered DIMM standard, JEDEC Study Group 45: [12] PCI Express ™ standard: /specifications/pciexpress/[13] Serial Attached SCSI information: SCSI TradeAssociation, [14] PCI Express ™ Jitter Modeling Whitepaper, Revision1.0RD, July 14, 2004, sections 3 & 4: /specifications/pciexpress/technical_library/[15] MJSQ – “Methodologies for Jitter and Signal QualitySpecification” is a document written as part of the INCITS project T11.2. /index.htm [16] ‘The Anatomy of Clock Recovery, Part 2’,Clock Recovery Primer, Part 1/bertscope19Contact.Tektronix:ASEAN./.Australasia..(65) 6356 3900Austria*..00800 2255 4835 Balkans,.Israel,.South.Africa.and.other.ISE.Countries.+41 52 675 3777Belgium*..00800 2255 4835Brazil..+55 (11) 3759 7600Canada..1 (800) 833-9200 Central.East.Europe,.Ukraine.and.the.Baltics..+41 52 675 3777Central.Europe.&.Greece..+41 52 675 3777Denmark..+45 80 88 1401Finland..+41 52 675 3777France*..00800 2255 4835Germany*..00800 2255 4835Hong.Kong..400-820-5835India..000-800-650-1835Italy*..00800 2255 4835Japan..81 (3) 6714-3010Luxembourg..+41 52 675 3777 Mexico,.Central/South.America.&.Caribbean..52 (55) 56 04 50 90Middle.East,.Asia.and.North.Africa..+41 52 675 3777herlands*..00800 2255 4835Norway..800 16098People’s.Republic.of.China..400-820-5835Poland..+41 52 675 3777Portugal..80 08 12370Republic.of.Korea..001-800-8255-2835Russia.&.CIS..+7 (495) 7484900South.Africa. +27 11 206 8360Spain*..00800 2255 4835Sweden*..00800 2255 4835Switzerland*..00800 2255 4835Taiwan..886 (2) 2722-9622.United.Kingdom.&.Ireland*..00800 2255 4835USA..1 (800) 833-9200 *.If.the.European.phone.number.above.is.not.accessible,.please.call.+41.52.675.3777Contact List Updated 25 May 2010. rmationTektronix maintains a comprehensive, constantly expanding collection of application notes, technical briefs and other resources to help engineers working on the cutting edge of technology. 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cdr时钟恢复原理

cdr时钟恢复原理CDR时钟恢复原理CDR(Clock and Data Recovery)时钟恢复电路是高速通信系统中一个重要的模块,它是将来自外部世界的串行数据流和时钟信号恢复出来的模块,以保证高速通信系统的可靠性和稳定性。
CDR时钟恢复原理主要有以下几点:1. 时钟信号恢复CDR时钟恢复电路的核心是时钟信号恢复电路,其中包括相锁环(PLL)电路、延迟锁定环(DLL)电路等。
时钟信号恢复电路的作用是通过对输入数据的采样和调整来恢复数据中的时钟信号。
PLL电路是最常用的时钟恢复电路,它通过对输入数据的采样,检测数据中的时钟信号,通过反馈控制电路调节本地时钟的频率和相位,实现时钟恢复的目的。
2. 数据恢复CDR时钟恢复电路中的数据恢复模块主要是通过对采样到的数据进行判决,恢复出原始的数字信号。
数据恢复模块的设计决定了整个CDR 时钟恢复电路的性能和稳定性。
3. 自适应算法当外界环境发生变化时,CDR时钟恢复电路需要具备自适应能力,使其能够及时调整自己的参数,以保持良好的性能。
常用的自适应算法包括自适应等化算法、自适应滤波算法、自适应决策反馈等。
4. 抗噪性能CDR时钟恢复电路中的抗噪性能直接影响到它在高速通信系统中的可靠性和稳定性。
在设计CDR时钟恢复电路时,需要考虑到外界噪声对系统性能的影响,并采用一些措施来提高系统抗噪性能,例如滤波器、前置放大器等。
5. 稳定性和可靠性CDR时钟恢复电路在高速通信系统中是一个核心模块,它需要具备高度的稳定性和可靠性。
稳定性和可靠性取决于电路中各个模块的设计和参数选择,需要在实际应用中进行充分调试和测试,以确保系统的稳定性和可靠性。
综上所述,CDR时钟恢复原理涉及到多个方面,包括时钟信号恢复、数据恢复、自适应算法、抗噪性能、稳定性和可靠性等,需要在设计和应用中综合考虑,以保证高速通信系统的正常运行和性能指标的达标。
高速数据传输系统中的时钟恢复与时序校准

高速数据传输系统中的时钟恢复与时序校准随着科技的不断进步,高速数据传输系统在现代通信中扮演着至关重要的角色。
然而,由于信号传输的复杂性和高速性,时钟恢复和时序校准成为了这些系统中的重要问题。
本文将介绍高速数据传输系统中的时钟恢复和时序校准的原理和方法。
时钟恢复是指在接收端恢复出与发送端相同的时钟信号。
在高速数据传输系统中,由于传输链路的噪声和失真,时钟信号可能会发生偏移和抖动,导致接收端无法准确地解读数据。
为了解决这个问题,可以使用时钟恢复电路。
时钟恢复电路通过对接收到的信号进行采样和重构,以恢复出准确的时钟信号。
常用的时钟恢复方法有边沿对齐和时钟数据恢复。
边沿对齐是一种常用的时钟恢复方法。
它基于传输信号的边沿来恢复时钟信号。
在接收端,时钟恢复电路会对传输信号进行采样,并根据采样到的边沿来生成时钟信号。
这种方法的优点是实现简单,但对传输信号的边沿要求较高。
时钟数据恢复是一种更为复杂的时钟恢复方法。
它通过对传输信号进行采样并解调,以恢复出准确的时钟信号和数据。
在接收端,时钟数据恢复电路会对传输信号进行采样,并解调出时钟信号和数据。
这种方法的优点是对传输信号的边沿要求较低,但实现难度较大。
时序校准是指在高速数据传输系统中对时钟和数据进行校准,以保证数据的准确传输。
在高速数据传输系统中,时钟和数据的传输速率往往不完全一致,容易导致时钟和数据之间的偏移。
为了解决这个问题,可以使用时序校准电路。
时序校准电路通过对时钟和数据进行延迟和对齐,以保证数据的准确传输。
常用的时序校准方法有延迟锁定环和自适应等化器。
延迟锁定环是一种常用的时序校准方法。
它通过对时钟和数据进行延迟和对齐,以保证数据的准确传输。
在接收端,延迟锁定环会对时钟和数据进行延迟,并通过反馈机制来调整延迟值,使得时钟和数据能够保持同步。
这种方法的优点是实现简单,但对传输信号的时钟和数据要求较高。
自适应等化器是一种更为复杂的时序校准方法。
它通过对传输信号进行采样和反馈,以自动调整等化器的参数,以保证数据的准确传输。
高速数字信号传输设计中的时钟数据恢复技术

高速数字信号传输设计中的时钟数据恢复技术在高速数字信号传输设计中,时钟数据恢复技术起着至关重要的作用。
当信号传输速度达到一定水平时,准确、稳定的时钟信号是保证数据传输质量的关键。
在本文中,我们将深入探讨高速数字信号传输设计中的时钟数据恢复技术。
首先,让我们了解时钟数据恢复技术的基本原理。
在数字通信中,发送端和接收端的时钟频率可能会产生偏差,导致数据传输时钟信号不同步,从而影响到数据的准确性和稳定性。
时钟数据恢复技术的主要目的就是通过在接收端重新生成一个稳定的时钟信号,以确保正确采样数据。
这种技术在高速传输中尤为重要,因为在高速传输中时钟偏差会更加明显。
时钟数据恢复技术主要有两种方法:一种是基于信号的恢复,另一种是基于时钟的恢复。
基于信号的恢复方法通过分析接收到的数据信号来提取时钟信息,然后根据这些信息生成本地时钟信号。
这种方法适用于信号质量较好的情况下,但在高噪声环境下可能会受到影响。
而基于时钟的恢复方法则是通过在数据中嵌入时钟信息,然后在接收端利用这些信息来恢复时钟信号。
这种方法对信号质量要求不高,但可能会增加数据传输的复杂性。
在实际应用中,常用的时钟数据恢复技术包括Costas环、PLL(锁相环)和CDR(时钟数据恢复器)。
Costas环是一种经典的时钟数据恢复技术,通过对接收信号的相位进行解调,提取出时钟信息并进行时钟恢复。
PLL则是一种常用的时钟同步技术,通过对输入信号进行频率和相位的比较,使得输出时钟信号与输入信号同步。
而CDR则是一种更加先进的技术,通过对接收到的数据进行采样和比较,自动调整时钟频率和相位来实现时钟数据恢复。
在设计高速数字信号传输系统时,选择合适的时钟数据恢复技术至关重要。
不同的应用场景可能需要不同的技术方案,例如对于长距离传输和高噪声环境下,CDR技术可能更适合;而对于简单的短距禁止传输,PLL可能就足够了。
在选择时钟数据恢复技术时,还需要考虑到系统的复杂度、成本和功耗等因素,以寻求最佳的平衡点。
SERDES关键技术总结

SERDES关键技术总结SERDES(Serializer/Deserializer)是一种用于高速串行通信的关键技术,通过将并行数据转换为串行数据进行传输,可以提供更高的数据传输速度,并帮助减少电缆数量和布线复杂性。
下面是对SERDES关键技术的总结:1. 前向纠错编码(Forward Error Correction,FEC):FEC是一种通过在发送端增加冗余数据来纠正传输中的错误的技术。
FEC可以提高传输信号的可靠性,减少误码率,以适应高速串行通信的需求。
2. 消除时钟抖动(Clock Jitter Elimination):时钟抖动是指时钟信号的相位和频率变化,由于时钟抖动会导致数据在传输过程中出错,因此消除时钟抖动是实现高速串行通信的关键。
SERDES通过使用特殊的时钟恢复技术,可以有效地抵消时钟抖动,保证数据传输的正确性。
3. 自适应等化器(Adaptive Equalizer):等化器是一种用于补偿信号受损影响的技术,通过对信号进行预处理和滤波,可以减少传输中的失真。
自适应等化器可以根据接收到的反馈信息实时调整等化器参数,以适应不同信道条件和传输距离,提高信号的传输质量。
4. 动态电源管理(Dynamic Power Management):SERDES在高速数据传输时需要消耗大量的功率,因此动态电源管理是必不可少的技术。
动态电源管理技术可以根据传输的需求,动态地调整电源供应方式和功耗,以实现更低的功耗和更好的能效。
5. 串并转换器(Serial-to-Parallel Converter)和并串转换器(Parallel-to-Serial Converter):SERDES的核心是串并转换器和并串转换器,它们是将并行数据转换为串行数据或将串行数据转换为并行数据的关键部件。
串并转换器将多个并行数据源组合成一个高速串行数据流,用于发送端;并串转换器将高速串行数据流拆分为多个并行数据流,用于接收端。
高速串行通信系统设计中的时钟恢复技术

高速串行通信系统设计中的时钟恢复技术在高速串行通信系统设计中,时钟恢复技术起着至关重要的作用。
时钟恢复技术是指在通信过程中确保接收端能够正确恢复发送端的时钟信号,从而保证数据的准确传输。
下面将介绍高速串行通信系统设计中的时钟恢复技术的原理和方法。
首先,要了解为什么需要时钟恢复技术。
在高速串行通信系统中,由于信号传输距离远、传输速率高,信号在传输过程中受到多种因素的影响,例如传输介质的损耗、延迟等,导致接收端无法准确识别发送端的时钟信号。
如果接收端无法正确恢复时钟信号,就会导致数据传输错误,严重影响通信质量。
为了解决时钟信号恢复问题,一种常用的方法是采用时钟数据恢复电路。
时钟数据恢复电路通过对接收到的数据进行采样、比较和调整,从而恢复出正确的时钟信号。
常见的时钟数据恢复电路包括延时锁相环(DLL)和相位锁定环(PLL)。
延时锁相环是一种常用的时钟恢复技术,它通过调整延时单元的延时时间,使接收端的时钟信号与发送端的时钟信号同步。
延时锁相环通常包括相位检测器、环路滤波器和延时单元。
相位检测器用于检测两个时钟信号之间的相位误差,环路滤波器用于对误差进行滤波和放大,延时单元用于根据误差信号调整延时时间。
相位锁定环是另一种常用的时钟恢复技术,它通过比较接收端数据的相位和发送端的时钟信号相位,从而调整本地时钟信号的频率和相位,使两者同步。
相位锁定环通常包括相位频率检测器、环路滤波器和调节单元。
相位频率检测器用于检测相位和频率误差,环路滤波器用于对误差进行滤波和放大,调节单元用于根据误差信号调整本地时钟信号。
除了延时锁相环和相位锁定环,还有其他一些时钟恢复技术,如周期估计法、数据边界对齐法等。
这些技术在不同的通信系统中有着不同的应用,选择合适的时钟恢复技术对于提高通信系统的性能至关重要。
总的来说,时钟恢复技术在高速串行通信系统设计中扮演着关键的角色。
通过合理选择和设计时钟恢复电路,可以保证通信系统在高速传输时能够准确恢复时钟信号,确保数据的准确传输。
超高速数码信号传输中的时钟恢复技术研究

高速数字信号传输设计中的时钟数据恢复算法在高速数字信号传输设计中,时钟数据恢复算法扮演着至关重要的角色。
时钟数据恢复算法是指用于从接收到的高速数字信号中恢复出正确的时钟信号和数据的算法。
在数字通信系统中,由于传输介质和其他因素的影响,接收到的信号可能会受到时钟抖动、噪声干扰等问题,导致时钟信号和数据产生偏移或失真。
时钟数据恢复算法的作用就是通过对接收信号进行采样、时钟提取、相位调整等操作,来有效地恢复出正确的时钟和数据。
在高速数字信号传输中,时钟数据恢复算法通常应用在串行通信接口中,用于将串行数据信号还原为并行数据信号。
其中一个常见的时钟数据恢复算法是基于边沿速率的时钟恢复算法。
该算法通过检测接收到的信号中的边沿来生成时钟信号,然后利用这个时钟信号对数据信号进行采样和恢复。
另一个常见的算法是相关性检测算法,它通过对接收信号进行相关性分析,来估计时钟信号和数据信号之间的关系,进而进行时钟数据恢复。
时钟数据恢复算法的设计需要考虑到多个方面的因素,包括传输介质特性、信号特点、抖动噪声情况等。
首先,需要对接收信号的波形进行分析,了解信号中的时钟信息和数据信息的特点,进而选择合适的恢复算法。
其次,针对不同的传输介质和抖动噪声情况,需要进行合适的滤波和增益调整,以提高时钟数据恢复的准确性和稳定性。
此外,还需要考虑到时钟频率的漂移和偏移等问题,设计相应的自适应算法来进行校准和调整。
在实际应用中,时钟数据恢复算法的性能直接影响到数字通信系统的稳定性和可靠性。
一个高效的时钟数据恢复算法可以有效地降低误码率,提高通信质量。
因此,工程师们在设计数字通信系统时需要认真考虑时钟数据恢复算法的选择和优化,以确保系统能够在高速数字信号传输中保持高性能和稳定性。
总的来说,高速数字信号传输设计中的时钟数据恢复算法是一个复杂而关键的技。
高速数字信号传输设计中的时钟数据恢复算法

高速数字信号传输设计中的时钟数据恢复算法在高速数字信号传输设计中,时钟数据恢复算法扮演着至关重要的角色。
时钟数据恢复算法是指用于从接收到的高速数字信号中恢复出正确的时钟信号和数据的算法。
在数字通信系统中,由于传输介质和其他因素的影响,接收到的信号可能会受到时钟抖动、噪声干扰等问题,导致时钟信号和数据产生偏移或失真。
时钟数据恢复算法的作用就是通过对接收信号进行采样、时钟提取、相位调整等操作,来有效地恢复出正确的时钟和数据。
在高速数字信号传输中,时钟数据恢复算法通常应用在串行通信接口中,用于将串行数据信号还原为并行数据信号。
其中一个常见的时钟数据恢复算法是基于边沿速率的时钟恢复算法。
该算法通过检测接收到的信号中的边沿来生成时钟信号,然后利用这个时钟信号对数据信号进行采样和恢复。
另一个常见的算法是相关性检测算法,它通过对接收信号进行相关性分析,来估计时钟信号和数据信号之间的关系,进而进行时钟数据恢复。
时钟数据恢复算法的设计需要考虑到多个方面的因素,包括传输介质特性、信号特点、抖动噪声情况等。
首先,需要对接收信号的波形进行分析,了解信号中的时钟信息和数据信息的特点,进而选择合适的恢复算法。
其次,针对不同的传输介质和抖动噪声情况,需要进行合适的滤波和增益调整,以提高时钟数据恢复的准确性和稳定性。
此外,还需要考虑到时钟频率的漂移和偏移等问题,设计相应的自适应算法来进行校准和调整。
在实际应用中,时钟数据恢复算法的性能直接影响到数字通信系统的稳定性和可靠性。
一个高效的时钟数据恢复算法可以有效地降低误码率,提高通信质量。
因此,工程师们在设计数字通信系统时需要认真考虑时钟数据恢复算法的选择和优化,以确保系统能够在高速数字信号传输中保持高性能和稳定性。
总的来说,高速数字信号传输设计中的时钟数据恢复算法是一个复杂而关键的技。
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Clock Recovery Primer, Part 1 PrimerPrimer/bertscope2Table of Contentsed?........................................3How.Does.Clock.Recovery.Work?. (3)PLL-Based Clock Recovery ..............................................4Generic Phased Lock Loop Block Diagram .......................4What it Does .....................................................................4How it Works ....................................................................4What Does a Measured Loop ResponseLook Like? (5)Examples (6)Example 1: Testing a 10 Gb/s Clock Recovery Circuit (6)Example 2: Behavior of a Clock Data Recovery (CDR)Circuit (8)Where.Does.Clock.Recovery.Appear.in..Measurements? (12)Loop Bandwidth Setting in Measurements (14)The.Effect.of.Peaking....................................................15The.Effect.of.Transition.Density.and.Anomalous.Clock.Recovery.Behavior.. (16)Pattern Effects ................................................................16Anomalous Locking .. (16)Where.to.Go.Next..........................................................17Acknowledgements.......................................................17References.. (18)/bertscope 3Clock Recovery Primer, Part 1AbstractClock recovery is a common part of many measure-ments, whether as part of the test setup or part of the device under test. We’re going to look at clock recovery from a practical point of view, with emphasis on how it affects measurements. This document closely mirrors the poster “The Anatomy of Clock Recovery, Part 1.”Why is Clock Recovery Used?Most gigabit communication systems are synchronous; that is, the data within them is timed against a common clock. High speed systems (such as serial buses and optical) usually send NRZ (Non-Return to Zero) data, coded to have the clock it is timed against embedded within it. Whether traveling across inches of circuit board, or across continents on optical fiber, the relationship between data and the clock it is timed against can become disturbed. Extracting clock directly from the data ensures that data regeneration at the receiver can be achieved correctly.Receivers typically improve the incoming data before passing it on. They do this by passing it through a decision circuit that retimes the data and squares up the pulses. This process isdependent upon a clock signal synchronous with the incoming data, hence the use of clock recovery inside the receiver. Timing variations such as jitter on the incoming data can be reduced or removed if the clock used for retiming moves in the same way at the same time.As we will see, in practice the operation is more complex than this, and the frequency of the incoming jitter is important.How Does Clock Recovery Work?There are many different architectures for clock recovery, and a large amount of literature describing the advantages and disadvantages of each. In measurement equipment, the most common type is based on a phase locked loop (PLL). We will look at this in more detail in a moment. Before we do, it is worth noting that other architectures have been used in measurement equipment in the past.Older sampling scope clock recovery modules were often feed-forward designs with fixed frequency filters switched in for each rate. Suitable band pass filters are difficult to make with narrow bands. They have also not been frequency agile, and will not track data with moving center frequencies, such as is found in spread spectrum clocking (SSC; see poster “Anatomy of Clock Recovery, Part 2”).Figure.1..If clock and data were to move in time by the same amount at the same time, a decision circuit could remove the effect of jitter.Primer/bertscope4PLL-Based Clock RecoveryClock recovery is usually applied to NRZ data. Unlike PLLs used in RF applications, data signals require modification to the PLL design. One challenge is the property of NRZ (Non-Return to Zero) data that there is no discrete spectral line at the data rate. This restricts the types of phase detector that can be employed in the PLL. Examples include Bang-Bang and Hogge designs.Generic Phased Lock Loop Block Diagram What it DoesA Voltage Controlled Oscillator (VCO) free-runs initially, near the data rate of interest.A portion of the VCO signal forms one input to a phase detector.The other input to the phase detector is the incoming data. The phase detector compares the phases of the two inputs and produces an output voltage related to the phase difference (the ‘Error Signal’ above).Usually this signal is filtered in some way before it becomes the frequency control voltage of the VCO.The error signal is a demodulated, high pass filtered equivalent of the jitter present on the input data.Many different circuits can be used for the Loop Filter for different applications.How it WorksThe aim of the recovery circuit is to derive a clock that is synchronous with the incoming data.Its ability to do this is dependent upon seeing transitions in the data.For data segments with runs of identical bits, the PLL must still stay locked.The loop gain, K, has the most significant effect on the loop bandwidth and speed. Any filtering within the loop filter typically has a secondary effect [1], p.21.The system transfer function (the normal loop response seen in literature, referred to as ‘H(s)’), performs a low pass filtering operation on the phase modulation of the input signal.The error response transfer function (referred to as ‘E(s)’) performs a high pass filtering function.The loop tracks input phase modulation within the loop bandwidth, and fails to track phase modulation outside the bandwidth.This gives the loop the ability to track low frequency jitter, but to ignore high frequency jitter outside the loop bandwidth of the PLL.Figure.2..NRZ spectrum showing one challenge for clock recovery – the lack of adiscrete spectral line at the bit rate.Figure.3..PLL Block Diagram./bertscope 5Clock Recovery Primer, Part 1What Does a Measured Loop Response Look Like?A measured loop response is shown in Figure 4.One measure of the jitter tracking characteristic of a PLL is the loop bandwidth (LBW). This is often measured as the point where the transfer function of (jitter out/jitter in) is –3 dB. This is not the only way that loops can be defined [1], pp. 17–18.A wide loop bandwidth sounds ideal. However, it is usually cost and technology dependent. Wide loop bandwidths contribute more noise/random jitter. A wide loop bandwidth improves jitter tolerance; a narrow loop bandwidthremoves more jitter from the recovered clock (beneficial to downstream synchronizers) but impairs jitter tolerance. Current loop bandwidths used in measurements are typically in the range from 1 to 10 MHz.Figure.4..A measured loop response showing a PLL tracking the input jitter (left side) and then failing to track the jitter (right side).Primer/bertscope6ExamplesWe are going to look at two examples of clock recovery measurements, one with a commercial clock recovery component (Section 4), the other with a commercial clock/data recovery chip (Section 5). In each case, the classical method of test is to use sinusoidal jitter (SJ) and to change modulation frequency. Here we will keep the jitter amplitude constant throughout.Example 1: Testing a 10 Gb/s Clock Recovery CircuitRecovered clock is derived from jittered dataRecovered clock tracks less and less jitter as the frequency of jitter on the data is increasedRecovered clock is compared against jittered data in the analyzerThe analyzer measures jitter relative to the clock trigger signalIn this way, we can measure the clock recovery error transfer functionWideband equipment, such as BERTs and oscilloscopes, has intrinsic jitter that masks the loop responses at low levels in measurements such as this. As we will see later, the portions of loop responses not visible here can still have significant effects, manifesting themselves as eye closure and bit errors in some situations.Figure.5..The effect of the intrinsic jitter of a wideband measuring instrument on loopmeasurements./bertscope 7Clock Recovery Primer, Part 1Figure.6..Deriving a clock trigger from data and using it to trigger a measurement. The response is sometimes called the ‘Observed Jitter Transfer Function.’Primer/bertscope8Example 2: Behavior of a Clock Data Recovery (CDR) CircuitA CDR recovers clock from incoming data, then uses the recovered clock as the reference to trigger a retiming flip-flop to clean up the incoming data. This measurement setup used a commercially available clock data recovery chip testedat 2.488 Gb/s, with a PRBS-7 pattern and 40% (0.4 UI) Sinusoidal Jitter signal of varying modulation frequency. The amplitude is constant; only the modulation frequency is varied, in the same way receiver clock recovery is traditionally tested. All analyzer measurements show data signal relative to the trigger.Figure.7..The chip being measured.Figure.8..The chip used for these measurements./bertscope 9Clock Recovery Primer, Part 1Figure.9.1.and.9.2..Two measurement configurations of the CDR chip. The measured responses are also shown in the graph of Figure 10.Primer/bertscope10Figure.9.3.and.9.4..Two further measurement configurations of the CDR chip. The measured responses are also shown in the graph of Figure 10./bertscope 11Clock Recovery Primer, Part 1Conclusions.for.Example.2Recovered clock jitter below the loop bandwidth tracks the input jitterRecovered clock jitter above the loop bandwidth is attenuated, so the recovered clock does not track high frequency jitterJitter of retimed data is dominated by the jitter of the retiming clockHigh frequency jitter on incoming data can be of sufficiently high amplitude to cause bit-detection errors, even though the retimed, regenerated data stream appears clean on an analyzer screenTriggering of test equipment plays a crucial role in the results obtainedFigure.10..Overlaid responses of the CDR chip measured as detailed in Figure 9.Primer/bertscope12Where Does Clock Recovery Appear in Measurements?Clock recovery can be part of the device under test, and also of the test setup. Typically, when it is part of the test setup, it is intended to emulate the behavior of a receiver, particularly in tracking low frequency jitter. Ideally, this means that only jitter beyond the clock recovery tracking range of a typical receiver is seen on the test equipment eye diagram.Figure.11..The figure shows where clock recovery can appear in a device under test, and test equipment used to characterize it./bertscope 13Clock Recovery Primer, Part 1Figure.12..Building on Figure 11, the table gives details of how clock recovery is used, and what can go wrong.Primer/bertscope14Loop Bandwidth Setting in MeasurementsLoop bandwidth can have a significant effect on the observed jitter in a measurement. Varying the loop bandwidth can give an indication of the jitter spectrum. The loop bandwidthschosen for testing could be very narrow (for example, to show all the jitter a transmitter under test is creating) or wide (for example, to show only the jitter that a transmitter produces that its intended system receiver is not able to filter out with its own PLL). Typically, it is the latter, and such a clock recovery is referred to as a “Golden PLL.” A system designer is mainly interested in jitter that is beyond the capabilities of the receiver to track.Some standards (like FB-DIMM) have a range of loopbandwidths specified. While test instruments should emulate the characteristics of the test device, a range in parameters could lead to unintended results.For transmitter testing, it might be desirable to have a high loop bandwidth to make the tested transmitter look as good as possible (the transmitter intrinsic jitter is largely tracked out, so it doesn’t appear in the measurement, making the transmitter look good).For receiver jitter tolerance, the stressed eye is often set up using jitter measured on an eye diagram. The aim might be to stress the eye with jitter beyond the effect of the receiver clock recovery’s ability to track it out. If the clock recovery used for stress calibration has a lower loop bandwidth than the receiver under test will, some jitter will be included in the eye measurement that will be tracked out by the receiver. This could make the composition of the finished stressed eye less demanding than it should be.ing the same jittered signal, eye diagrams measured against a recoveredclock with narrow and wide loop bandwidth settings.Figure.14..Transmitter testing and the effect of changing loop bandwidth.Figure.15..Receiver testing and the effect of changing loop bandwidth./bertscope 15Clock Recovery Primer, Part 1The Effect of PeakingPeaking is a region near the loop bandwidth where the jitter out of a clock recovery device can be greater than the jitter input. Standards often restrict the amount of allowed peaking. The reasons why this is done are evident from the following measurements.An instrument-grade clock recovery with configurable slope and peaking was used for this measurement Loop bandwidth was set to 1 MHzThe stimulus was a fixed 400 kHz sinusoidal jitter input signal to the clock recoveryThe loop was set to 0 dB peaking (red measured response) and +3 dB peaking (green measured response).The eye diagram from the green response shows jitter gain — more jitter out of the device than was present on the input.3 dB equates to a factor of 1.41.Confirms that jitter gain is indeed +3 dB: 35 ps input x 1.41 = 49 ps jitter output.Many standards restrict the amount of peaking allowed (see table on “Anatomy of Clock Recovery, Part 2” poster). Jitter gain, particularly in a repeatered system, is highly undesirable.Peaking increases the noise/random jitter.Figure.16..Measurement of a clock recovery instrument using the same input signal containing jitter. Varying the peaking can increase the jitter beyond the amount presenton the input.Primer/bertscope16The Effect of Transition Density and Anomalous Clock Recovery BehaviorWe will look at two loop effects; the first relating the transition density of different patterns and how this affects clock recovery; the second, how locking can go wrong.Pattern EffectsThe pattern “101010…” has a transition density of 100% (every bit has a transition). PRBS patterns have an average transition density identical to a "1100" pattern — i.e., 50%. Other patterns may have a lower transition density, or one that changes in certain sections of the same pattern (such as some sections of long PRBS patterns).The number of transitions controls the amount of energy going into the clock recovery loop. The energy in the loop affects the loop parameters, including loop gain and loop bandwidth. Therefore changing patterns can alter the loop behavior.Halving the transition density can have the effect ofapproximately halving the loop bandwidth for most loop designs. Some instrument grade clock recovery solutions calibrate loop bandwidth based on the measured transition density of the incoming data. Care must be taken — some standards specify loop bandwidth at a particular transition density, and assume that the loop bandwidth will be different for measurements using the required test patterns.Anomalous LockingSidelocking- Signals with periodic modulation produce discrete spectral lines - Narrow band PLL can lock on to any sufficiently high amplitude discrete spectral line, whether the carrier or not - Called ‘sidelocking’- Short PRBS patterns have fewer, higher energy spectral lines that are widely spaced, so can be more problematic than long PRBS patterns Harmonic Locking- Data, like square wave modulation, has harmonics that can provide opportunities to lock at multiples of the desired frequency - This can also happen with some designs ofphase detectors for subharmonics, and fractional subharmonics, particularly for long runs of ones or zeros [1], p. 341These are some reasons why instrument clock recovery solutions usually require an initial frequency to be accurately established prior to acquisition.Figure.17..Conceptual view of sidelocking.Figure.18..Conceptual view of harmonic locking./bertscope 17Clock Recovery Primer, Part 1Where to Go NextIn the same way that the second “Anatomy of Clock Recovery” poster tackles more complex topics, there is a companion second primer [16], “Anatomy of Clock Recovery, Part 2,” which can be downloaded from the website.In this companion paper, the following topics are discussed: Survey of clock recovery used in various standards Types and orders Spread spectrum clocking Clock recovery and stress testingThe effect of trigger delay in measurements Distributed clock schemes Clock domainsAcknowledgementsConsiderable help has been generously given by the following people:Floyd M. GardnerEric Kvamme, Hollis Poche, Maxtor Corporation Harvey Newman, Infineon Technologies Stretch Camnitz, Avago Technologies Mark Marlett, LSI LogicRansom Stephens, Teraspeed Consulting John Calvin, TektronixGerry Talbot, Advanced Micro DevicesPrimer/bertscope18References[1] Gardner, Floyd M. 2005, 3rd Ed. Phaselock Techniques.New Jersey, John Wiley & Sons Inc. The original and definitive textbook on PLLs. Revised edition has much improved introductory chapters.[2] Best, Roland E. 2003, 5th Ed. Phase-Locked Loops,Design, Simulation and Applications. New York,McGraw-Hill. Includes instructive PLL simulation software on CD-ROM.[3] Kroupa, Venceslav F . 2003. Phase Lock Loops andFrequency Synthesis. John Wiley & Sons, Ltd., United Kingdom.[4] 10 Gigabit Ethernet and XAUI: search on “802.3aeTM”Governing body (and owner of trademark) [5] Fibre Channel information: Fibre Channel IndustryAssociation, /[6] OIF CEI standard: /public/impagreements.html [7] Serial ATA standard: [8] SONET information: GR-253-CORE, SynchronousOptical Network (SONET) Transport Systems: Common Generic Criteria, /[9] SDH information: http://www.itu.int/ITU-T/, G.xxxseries of documents, for example G.957 was anoriginal defining document for optical interfaces, G.958 described jitter.[10] XFP and XFI information: [11] Fully Buffered DIMM standard, JEDEC Study Group 45: [12] PCI Express ™ standard: /specifications/pciexpress/[13] Serial Attached SCSI information: SCSI TradeAssociation, [14] PCI Express ™ Jitter Modeling Whitepaper, Revision1.0RD, July 14, 2004, sections 3 & 4: /specifications/pciexpress/technical_library/[15] MJSQ – “Methodologies for Jitter and Signal QualitySpecification” is a document written as part of the INCITS project T11.2. /index.htm [16] ‘The Anatomy of Clock Recovery, Part 2’,Clock Recovery Primer, Part 1/bertscope19Contact.Tektronix:ASEAN./.Australasia..(65) 6356 3900Austria*..00800 2255 4835 Balkans,.Israel,.South.Africa.and.other.ISE.Countries.+41 52 675 3777Belgium*..00800 2255 4835Brazil..+55 (11) 3759 7600Canada..1 (800) 833-9200 Central.East.Europe,.Ukraine.and.the.Baltics..+41 52 675 3777Central.Europe.&.Greece..+41 52 675 3777Denmark..+45 80 88 1401Finland..+41 52 675 3777France*..00800 2255 4835Germany*..00800 2255 4835Hong.Kong..400-820-5835India..000-800-650-1835Italy*..00800 2255 4835Japan..81 (3) 6714-3010Luxembourg..+41 52 675 3777 Mexico,.Central/South.America.&.Caribbean..52 (55) 56 04 50 90Middle.East,.Asia.and.North.Africa..+41 52 675 3777herlands*..00800 2255 4835Norway..800 16098People’s.Republic.of.China..400-820-5835Poland..+41 52 675 3777Portugal..80 08 12370Republic.of.Korea..001-800-8255-2835Russia.&.CIS..+7 (495) 7484900South.Africa. +27 11 206 8360Spain*..00800 2255 4835Sweden*..00800 2255 4835Switzerland*..00800 2255 4835Taiwan..886 (2) 2722-9622.United.Kingdom.&.Ireland*..00800 2255 4835USA..1 (800) 833-9200 *.If.the.European.phone.number.above.is.not.accessible,.please.call.+41.52.675.3777Contact List Updated 25 May 2010. rmationTektronix maintains a comprehensive, constantly expanding collection of application notes, technical briefs and other resources to help engineers working on the cutting edge of technology. 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