WO2017152540A1 - Procédé et dispositif de sélection d'horloge - Google Patents

Procédé et dispositif de sélection d'horloge Download PDF

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Publication number
WO2017152540A1
WO2017152540A1 PCT/CN2016/086911 CN2016086911W WO2017152540A1 WO 2017152540 A1 WO2017152540 A1 WO 2017152540A1 CN 2016086911 W CN2016086911 W CN 2016086911W WO 2017152540 A1 WO2017152540 A1 WO 2017152540A1
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Prior art keywords
time source
time
source signal
protocol
pulse
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PCT/CN2016/086911
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English (en)
Chinese (zh)
Inventor
李振杰
谢铁民
简化
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中兴通讯股份有限公司
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    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04JMULTIPLEX COMMUNICATION
    • H04J3/00Time-division multiplex systems
    • H04J3/02Details
    • H04J3/06Synchronising arrangements
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04JMULTIPLEX COMMUNICATION
    • H04J3/00Time-division multiplex systems
    • H04J3/02Details
    • H04J3/06Synchronising arrangements
    • H04J3/0635Clock or time synchronisation in a network
    • H04J3/0638Clock or time synchronisation among nodes; Internode synchronisation
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04WWIRELESS COMMUNICATION NETWORKS
    • H04W56/00Synchronisation arrangements
    • H04W56/001Synchronization between nodes
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04WWIRELESS COMMUNICATION NETWORKS
    • H04W56/00Synchronisation arrangements

Definitions

  • the present application relates to, but is not limited to, the field of communications, and in particular, to a time source selection method and apparatus.
  • 3G (TD-SCDMA and CDMA2000) base stations and 4G base stations require time synchronization.
  • the base station should give priority to selecting the satellite receiver for air calibration.
  • the ground time can be used.
  • the ground time can also be used as the redundant backup of the air time.
  • the base station immediately Switch to ground timing.
  • the ground timing requires the establishment of a time synchronization network, and all nodes from the time source to the base station require time synchronization.
  • the standards for domestic and international time synchronization have gradually improved, and operators have gradually required networked devices to have high-precision time synchronization.
  • the time synchronization interface includes at least two types of time protocol interfaces.
  • the time synchronization device usually supports at least two interfaces.
  • the related method is to select an optimal time source from each time protocol interface separately, and determine a time source from the selected optimal time source through configuration, so that the device cannot automatically select.
  • An optimal time source is generated, which affects the accuracy and reliability of time synchronization.
  • a multi-protocol interface scenario shows that device D has three time sources.
  • A provides time synchronization through the PTP (Precision Time Protocol) interface.
  • B and C pass 1PPS+TOD (l pulse per The second&Time of Day interface provides time synchronization.
  • the PTP interface utilizes the transmission time of the Ethernet packet, which is suitable for long-distance transmission and can be used for inter-office and intra-office time allocation.
  • the 1PPS+TOD interface is suitable for short-distance transmission and can only be used for intra-office time allocation.
  • the 1PPS second pulse is The 1HZ clock signal uses the rising edge as the on-time edge, the TOD message indicates the current 1PPS rising edge time, and the ToD protocol message transmission frequency is once per second.
  • Multiple time sources of the PTP interface can select the optimal time source through the BMC algorithm (Best Master Clock Algorithm). Multiple time sources of the 1PPS+TOD interface can pass the information of the second pulse state and default priority. The optimal time source is selected. However, for the optimal time source of the 1PPS+TOD interface and the PTP interface, the optimal time source of one system cannot be automatically selected because of different parameters in the information, and thus cannot be transmitted to other time synchronization devices. Optimal time source.
  • the main technical problem to be solved by the embodiments of the present invention is to provide a time source selection method and device, so as to solve the problem that multiple types of interfaces in the related art can work simultaneously, and an optimal time source signal cannot be automatically selected for time transmission, thereby Technical issues that affect the efficiency and accuracy of time synchronization.
  • a time source selection method including:
  • the time source signal including a time source signal of a precise time protocol, or a time source signal including a precise time protocol and a time source signal of a second pulse + day time protocol.
  • the time source signal of the precise time protocol is converted to a time source signal of a second pulse + day time protocol.
  • a path is selected from the obtained time source signals of one or more seconds pulse + day time protocol as the system optimal time source signal.
  • the system optimal time source signal is output as a synchronous time source signal.
  • converting the time source signal of the precise time protocol into a time source signal of the second pulse + day time protocol comprises:
  • the optimal time source signal is selected from the received time source signals of at least two precise time protocols.
  • the optimal time source signal is converted to a time source signal of the second pulse + day time protocol.
  • the target time protocol is one of the multiple time protocols, or one of the multiple time protocols.
  • converting the time source signal of the precise time protocol into the time source signal of the second pulse + day time protocol further includes:
  • the time source signal of the received one or more precise time protocol is directly converted into a time source signal of the second pulse + day time protocol.
  • selecting one of the obtained time source signals of one or more seconds pulse + day time protocol as the system optimal time source signal includes:
  • One of the time source signals of the effective one-way or multi-channel second pulse + day time protocol is selected as the optimal time source signal of the system.
  • the method further includes: after selecting one of the time source signals obtained from the one or more seconds pulse + day time protocol as the system optimal time source signal, and selecting the optimal time source of the system Before the signal is output as the synchronous time source signal, delay compensation processing is performed on the optimal time source signal of the system.
  • a time source selection device includes: a receiving module, a conversion module, a selection module, and an output module.
  • the receiving module is configured to receive at least two time source signals, wherein the time source signal includes a time source signal of a precise time protocol, or a time source signal including a precise time protocol and a time source signal of a second pulse + day time protocol.
  • a conversion module configured to convert the time source signal of the precise time protocol into a time source signal of a second pulse + day time protocol.
  • the selection module is configured to select one of the time source signals of the obtained one or more seconds pulse + day time protocol as the system optimal time source signal.
  • the output module is configured to output the optimal time source signal of the system as a synchronous time source signal.
  • the conversion module includes: a first selection submodule and a first conversion submodule.
  • the conversion module converts the time source signal of the precise time protocol into a time source signal of the second pulse + day time protocol, including:
  • the first selection sub-module is configured to select an optimal time source signal from the received time source signals of at least two precise time protocols.
  • the first conversion sub-module is configured to convert the optimal time source signal into a time source signal of the second pulse + day time protocol.
  • the conversion module further includes: a second conversion submodule.
  • Converting, by the conversion module, the time source signal of the precise time protocol into a time source signal of the second pulse + day time protocol further includes:
  • the second conversion submodule is configured to directly convert the received time source signal of one or more precise time protocols into a time source signal of the second pulse + day time protocol.
  • the selection module includes: a detection submodule and a second selection submodule.
  • the detection sub-module is configured to detect the validity of the obtained time source signal of one or more seconds pulse + day time protocol.
  • the second selection submodule is configured to select one of the time source signals of the effective one or more second pulse + day time protocol as the optimal time source signal of the system.
  • the device further includes a delay compensation module; the delay compensation module is disposed between the selection module and the output module.
  • a delay compensation module configured to select, after the selection module selects one of the obtained one or more second pulse + day time protocol time source signals as the system optimal time source signal, and the output module Before the system optimal time source signal is output as the synchronous time source signal, delay compensation processing is performed on the optimal time source signal of the system.
  • a computer readable storage medium storing computer executable instructions for implementing the time source selection method when executed by a processor.
  • An embodiment of the present invention provides a time source selection method, including: receiving at least two time source signals, where the time source signal includes a time source signal of a PTP protocol, or a time source signal including a PTP protocol and a 1PPS+TOD protocol.
  • Time source signal ; converting the time source signal of the received PTP protocol into a time source signal of the 1PPS+TOD protocol, and selecting one of the time source signals of the obtained one or more 1PPS+TOD protocols as the system optimal time source signal.
  • the optimal time source signal of the system is output, so that the device can automatically select an optimal time source signal for time transmission when multiple types of interfaces work simultaneously.
  • the optimal time source can only be selected from the time source signals of each time protocol, and the automatic selection cannot be performed for different types of time sources, thereby reducing the efficiency and reliability of time synchronization.
  • the time source selection method provided by the embodiment of the present invention can select an optimal time source signal for the time source signal with different time protocols, and automatically select one when the selected optimal time source signal quality is reduced. Time source with better signal quality and switching, optionally improving the accuracy of time synchronization.
  • FIG. 1 is a schematic diagram of a multi-protocol interface scenario according to an embodiment of the present invention
  • FIG. 2 is a flowchart of a time source selection method according to Embodiment 1 of the present invention.
  • FIG. 3 is a flowchart of a time source selection method based on a 1PPS+TOD interface according to Embodiment 1 of the present invention
  • FIG. 4 is a schematic diagram of a time source selection apparatus according to Embodiment 2 of the present invention.
  • FIG. 5 is a schematic diagram of a time source selection device based on a 1PPS+TOD interface according to Embodiment 2 of the present invention.
  • Embodiment 1 is a diagrammatic representation of Embodiment 1:
  • the embodiment of the present invention provides a time source selection method. Please refer to the flowchart of the time source selection method shown in FIG. 2 .
  • the flow of the time source selection method includes steps S201-S204:
  • time source signal includes a time source signal of a PTP protocol, or a time source signal including a PTP protocol and a time source signal of a 1PPS+TOD protocol.
  • the time source signals include but are not limited to the time source signal of the PTP protocol and the time source signal of the 1PPS+TOD protocol.
  • the above process can also be used to unify each type of time source signal into one type. And then select the optimal time source signal to complete the time synchronization.
  • the time source signals of various time protocol types are unified in type, and the most accurate time source signal is automatically selected to complete time synchronization, thereby preventing the device from being configured for different interfaces.
  • a signal is automatically reselected. The better quality time source is synchronized to deliver the optimal time source for other time synchronization devices.
  • the interface supporting the different time protocols has two processing modes: one is to select an optimal time source signal from the time source signals of the PTP protocol, and then The optimal time source signal is converted into a time source signal of the second pulse + day time protocol, thereby reducing the signal conversion process; the other is directly converting the received time source signal of at least one precise time protocol into a second pulse + day time.
  • the time source signal of the protocol does not need to select the optimal time source signal, thereby ensuring more accurate selection of the optimal time source signal of the system. For the above two treatment methods, reasonable selection can be made according to actual needs.
  • step S203 before selecting one of the time source signals of the obtained one or more channels of the 1PPS+TOD protocol as the optimal time source signal of the system, it is necessary to detect the validity of each time source signal.
  • the time source signal When a time source signal is detected to be absent or abnormal, the time source signal will not be used as a candidate time source for the optimal system time source signal.
  • the time source signal When the detected time source signal is valid, the time source signal may be As the optimal system time source signal.
  • an optimal system time source signal is periodically selected from the plurality of valid time source signals according to the parameter information carried by the 1PPS+TOD protocol.
  • the selection criteria specified by the 1PPS+TOD protocol include, but are not limited to, the second pulse state, the default priority, etc., and comprehensively consider the optimal one-way time source signal.
  • the optimal source is arbitrated according to the default priority. For example, when the optimal 1PPS+TOD time source signal selection is performed, the second pulse state is arranged in descending order of 0x00>0x01>0x05>0x03>0x04>0x02, and the highest is the optimal candidate source. If there are equal seconds pulse states The candidate source arbitrates the optimal 1PPS+TOD time source signal according to the default priority. Therefore, the system optimal time source signal selection process is:
  • the time source signal with the highest default priority is selected from the multiple valid time source signals. If the default priorities of the at least two time source signals are the same and the highest, the time source with the same default priority is the highest. The time source signal with the best second pulse state is selected as the optimal time source signal of the system.
  • the above selection process is not unique, and the second pulse state can be judged first, and then the default priority can be judged, and the judgment can be made at the same time. For other parameters, the above selection process can also be used.
  • the system optimal time source signal is reselected and automatically switched to the newly selected system optimal time source signal; similarly, if the selected system is the most If the quality of the excellent time source signal is improved, then the system optimal time source is reselected. Number and automatically switch. In addition, if all of the time source signals entered are invalid, then no output time is selected or the output time is not available.
  • the method further includes: delaying compensation of the selected optimal time source signal after selecting the optimal system time source signal and outputting the optimal system time source signal as the synchronous time source signal deal with. Because of the fixed error introduced inside the processing device (which is usually caused by the chip or the trace), it is necessary to perform delay compensation processing on the system time source signal to reduce the fixed error.
  • step S204 when the system optimal time source signal after the delay compensation processing is output, firstly, it is determined by which time protocol type interface output of the optimal time source signal of the system, if the optimal time source signal of the system is If the time protocol type does not match the time protocol type of the output interface, the system optimal time source signal of the target time protocol is converted into a time protocol supported by the output interface, and is output as a synchronous time source signal.
  • This embodiment describes a time source selection method based on the 1PPS+TOD protocol in detail with reference to FIG. 3.
  • the PTP input interface and the PTP output interface are software interfaces, and both have the following features:
  • PTP input interface 1) Implement the PTP slave status function, and periodically exchange PTP protocol packets with the upper-level time synchronization device to calculate path delay and synchronization time. If there are multiple master states, select the optimal master state according to the BMC algorithm.
  • the PTP protocol packet carries the information such as the optimal time source priority, time class, and time precision, and selects an optimal time source signal from the multiple time source signals through the information carried in the packet; 2)
  • the time source signal of the 1PPS+TOD protocol is output; 3) the Slave is mapped to the second pulse state in the time information message in the TOD message according to the clock level in the Announce message received in the optimal main state in the case of time lock;
  • the clock level and clock status according to the current maintenance time are mapped to the second pulse status in the time information message in the TOD message.
  • PTP output interface Receive the optimal 1PPS+TOD of the input, update the output time counter, and do not introduce the selection of the counter clock source in this embodiment; implement the PTP main state function, and periodically perform PTP protocol report with the next-level time synchronization device. Text interaction, time synchronization.
  • the time source selection method step based on 1PPS+TOD includes S301-S304:
  • the plurality of PTP input interfaces and the plurality of 1PPS+TOD input interfaces are synchronized with the previous time, and respectively receive a corresponding number of time source signals of the PTP protocol and a corresponding number of time source signals of the 1PPS+TOD protocol.
  • S304 Perform validity determination on the 1PPS signal and the TOD signal in the time source signals of all 1PPS+TOD protocols respectively, and when the 1PPS signal and the TOD signal in the time source signal of the 1PPS+TOD protocol are both valid, A candidate time source for the time source signal of the 1PPS+TOD protocol.
  • S306 Perform time delay compensation processing on the selected time source signal of the optimal 1PPS+TOD protocol.
  • Performing state mapping in S303 is performed in a time-locked state.
  • the clock level and clock state are operated according to the current maintenance time (ie, the time when the local device is running). Maps to the second pulse state in the time information message in the TOD message.
  • the lock refers to that the PTP interacts with the PTP message of the upper-level main state, and has calculated the path delay and other parameters to complete the time synchronization process, and the time jitter error can be within the received range; the hold refers to the PTP.
  • the clock punctuality adopted by the local device After the slave state loses communication with the peer master state after the lock state, or the peer master state is no longer granted, the clock punctuality adopted by the local device, the external time source is re-acquired in the hold state, and the time source is locked.
  • free running refers to the running time maintained by the clock after the chip is powered on.
  • the clock source can be selected according to the designer's choice.
  • the local crystal oscillator or external clock source is connected; the time starting point is generally UTC (Coordinated Universal Time) time stamp starting point or user defined.
  • the medium-moving TOD outputs the GPS week number and the week second, so the free running time is later than the GPS time-scale starting point. You can choose not to output the 1PPS+TOD time source signal, or one of them. During the source selection process, the time source is invalid. In addition, the TOD second pulse status output in the free running state is 0x02 (ie unavailable).
  • the clock level in the time source signal of the optimal PTP protocol is mapped to the second pulse state.
  • mapping relationship refer to Table 1:
  • the output second pulse state is mapped according to the punctual clock level.
  • the clock level defined by G.781 Option I is taken as an example.
  • the clock levels are QL-PRC and QL-SSU respectively. -A, QL-SSU-B, QL-SEC, QL-DNU. Therefore, the clock level in the time source signal of the optimal PTP protocol is mapped to the second pulse state.
  • Table 2 For the mapping relationship, refer to Table 2:
  • the default priority is 1, 2, ... N digits, and the higher the digital value, the lower the level, the default priority of each path is different, and the purpose is that the second pulse state is equal, according to The default priority dictates the optimal 1PPS+TOD time source signal.
  • Embodiment 2 is a diagrammatic representation of Embodiment 1:
  • FIG. 4 is a schematic diagram of a time source selection device according to the embodiment.
  • the time source selection device includes: a receiving module 401, a conversion module 402, and a selection module. 403 and output module 404.
  • the receiving module 401 is configured to receive at least two time source signals, where the time source signal includes a time source signal of the PTP protocol, or a time source signal including a PTP protocol and a time source signal of the 1PPS+TOD protocol.
  • the conversion module 402 is configured to convert the time source signal of the PTP protocol into a time source signal of the 1PPS+TOD protocol.
  • the selecting module 403 is configured to select one of the time source signals of the obtained one or more 1PPS+TOD protocols as the system optimal time source signal.
  • the output module 404 is configured to output the system optimal time source signal as a synchronous time source signal.
  • the conversion module 402 includes: a first selection submodule 4021 and a first conversion submodule 4022.
  • the conversion module 402 converts the time source signal of the precise time protocol into a time source signal of the second pulse + day time protocol, including:
  • the first selection sub-module 4021 is configured to select an optimal time source signal from the received time source signals of at least two PTP protocols.
  • the first conversion sub-module 4022 is configured to convert the optimal time source signal into a time source signal of the 1PPS+TOD protocol.
  • the conversion module 402 has another structure, which includes a second conversion submodule, which directly converts the received time source signal of at least one PTP protocol into a time source signal of the 1PPS+TOD protocol. There is no need to select the optimal time source signal, and thus to ensure a more accurate selection of the system optimal time source signal. For the above two conversion modules, reasonable selection can be made according to actual needs.
  • the selection module 403 includes: a detection submodule 4031 and a second selection submodule 4032.
  • the selection module selects one of the time source signals of the obtained one or more second pulse + day time protocol as the optimal time source signal of the system, including:
  • the detection sub-module 4031 is configured to detect the validity of the obtained time source signal of one or more 1PPS+TOD protocols.
  • the selection sub-module 4032 is configured to select one of the time source signals of the active one-way or multiple-channel 1PPS+TOD protocol as the optimal time source signal of the system.
  • Efficient time source signals are filtered out from the unified one or more optimal time source signals to eliminate the absence or abnormality of the signals, and then carry the parameter information and other periodic ones from the effective one or more according to the target time protocol.
  • the optimal time source signal of the system is selected in the optimal time source signal of the road.
  • a delay compensation module 405 is further provided, and the delay compensation module 405 is configured to perform delay compensation processing on the optimal time source signal of the system.
  • the reason for delay compensation processing on the received optimal time source signal of the system is that because of the fixed error introduced inside the processing device (the error is generally caused by the chip or the trace), the time source signal of the system needs to be extended. Time compensation processing to reduce fixed errors.
  • FIG. 5 is another time source selection device according to the embodiment.
  • the selection device includes a receiving module 501, a conversion module 502, a selection module 503, and an output module.
  • the receiving module 501 includes a PTP input interface 5011 and a 1PPS+TOD input interface 5012.
  • the PTP input interface 5011 is configured to receive a time source signal of the PTP protocol
  • the 1PPS+TOD input interface 5012 is configured to receive a time source signal of the 1PPS+TOD protocol.
  • the output module 504 includes a PTP output interface 5041 and a 1PPS+TOD output interface 5042.
  • the PTP output interface 5041 is configured to output a time source signal of the PTP protocol
  • the 1PPS+TOD output interface 5042 is configured to output a time source signal of the 1PPS+TOD protocol.
  • the structure and function of the conversion module 502, the selection module 503, and the delay compensation module 505 are similar to those of the conversion module 402, the selection module 403, and the delay compensation module 405 in FIG. 4, and are not described herein again.
  • the PTP input interface 5011 and the 1PPS+TOD input interface 5012 respectively receive the time source signal of the corresponding PTP protocol and the time source signal of the 1PPS+TOD protocol, and convert the time source signal of the PTP protocol into the 1PPS+TOD protocol through the conversion module 502.
  • the time source signal is then selected by the selection module 503 to select the time source signal of the optimal 1PPS+TOD protocol. If the output is output through the 1PPS+TOD output interface, the output is directly performed without protocol conversion; if output through the PTP output interface, The time source signal of the 1PPS+TOD protocol needs to be converted into a time source signal of the PTP protocol, and then output.
  • some modules in the time source selection device protected by the embodiment can be implemented not only in the form of software, but also in the form of hardware, even in a combination of software and hardware, such as the selection module 403 in FIG. And delay compensation module 405 (or selection module 503 and delay compensation module 505 in FIG. 5).
  • the selection module 403 includes a signal detector and an input determiner, wherein the signal detector is configured to detect the validity of the time source signal, and may be a CPLD (Complex Programmable Logic Device) or a digital phase locked loop.
  • the input determiner is configured to select an optimal one-time source signal for time synchronization from an effective multi-path source signal, which can be completed by a CPU (Central Processing Unit) and software, and the CPU usually needs to support A variety of serial ports;
  • the delay compensation module 405 can be implemented by supporting a 1588 PHY (Physical Layer) chip or a professional chip.
  • a computer readable storage medium storing computer executable instructions for implementing the time source selection method when executed by a processor.
  • each module or each step of the above embodiments of the present invention can be implemented by a general computing device, which can be concentrated on a single computing device, or Distributed on a network of computing devices, optionally, they can be implemented by program code executable by the computing device, so that they can be stored in a storage medium (ROM/RAM, disk, optical disk)
  • the computing device is executed, and in some cases, the steps shown or described may be performed in an order different than that herein, or they may be fabricated separately for each integrated circuit module, or a plurality of modules thereof or The steps are made into a single integrated circuit module. Therefore, embodiments of the invention are not limited to any particular combination of hardware and software.
  • all or part of the steps of the above embodiments may also be implemented by using an integrated circuit. These steps may be separately fabricated into individual integrated circuit modules, or multiple modules or steps may be fabricated into a single integrated circuit module. achieve.
  • the devices/function modules/functional units in the above embodiments may be implemented by a general-purpose computing device, which may be centralized on a single computing device or distributed over a network of multiple computing devices.
  • the device/function module/functional unit in the above embodiment When the device/function module/functional unit in the above embodiment is implemented in the form of a software function module and sold or used as a stand-alone product, it can be stored in a computer readable storage medium.
  • the above mentioned computer readable storage medium may be a read only memory, a magnetic disk or an optical disk or the like.
  • the solution of the embodiment of the present invention receives at least two time source signals, where the time source signal includes a time source signal of a PTP protocol, or a time source signal including a PTP protocol and a time source signal of a 1PPS+TOD protocol; and the received PTP protocol
  • the time source signal is converted into a time source signal of the 1PPS+TOD protocol, and one of the time source signals of the obtained one or more 1PPS+TOD protocols is selected as the optimal time source signal of the system, and then the optimal time source signal of the system is selected.
  • the output enables the device to automatically select an optimal time source signal for time transfer when multiple types of interfaces work simultaneously.
  • the optimal time source can only be selected from the time source signals of each time protocol, and the automatic selection cannot be performed for different types of time sources, thereby reducing the efficiency and reliability of time synchronization.
  • the time source selection method provided by the embodiment of the present invention can select an optimal time source signal for the time source signal with different time protocols, and automatically select one when the selected optimal time source signal quality is reduced. Time source with better signal quality and switching, optionally improving the accuracy of time synchronization.

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Abstract

La présente invention concerne un procédé et un dispositif de sélection d'horloge. Le procédé comprend les étapes consistant à : recevoir au moins deux trajets de signaux d'horloge, les signaux d'horloge contenant un signal d'horloge d'un protocole de synchronisation de précision, ou un signal d'horloge d'un protocole de synchronisation de précision et un signal d'horloge d'un protocole 1 PPS et heure du jour ; convertir le signal d'horloge reçu du protocole de synchronisation de précision en le signal d'horloge du protocole 1 PPS et heure du jour ; sélectionner un trajet parmi le ou les trajets obtenus du protocole 1 PPS et heure du jour en tant qu'un signal d'horloge optimal d'un système ; et émettre le signal d'horloge optimal du système.
PCT/CN2016/086911 2016-03-10 2016-06-23 Procédé et dispositif de sélection d'horloge WO2017152540A1 (fr)

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