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CN115242312A - Photon compression sensing system and method for generating frequency multiplication bipolar code based on time delay - Google Patents

Photon compression sensing system and method for generating frequency multiplication bipolar code based on time delay Download PDF

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CN115242312A
CN115242312A CN202210880919.9A CN202210880919A CN115242312A CN 115242312 A CN115242312 A CN 115242312A CN 202210880919 A CN202210880919 A CN 202210880919A CN 115242312 A CN115242312 A CN 115242312A
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李润成
池灏
杨淑娜
杨波
翟彦蓉
欧军
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Shenzhen Huatengtong Technology Co ltd
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Abstract

本发明属于光通信技术领域,具体涉及基于时间延迟产生倍频双极性码的光子压缩感知系统及方法。系统包括连续波光源、可编程脉冲发生器、第一电光调制器、第二电光调制器、光延迟线、光耦合器、稀疏信号发生器、第三电光调制器、波分解复用器、平衡光电探测器、采样器和数字信号处理模块;连续波光源的两个输出端口分别与第一电光调制器和第二电光调制器相连;第二电光调制器经过光延迟线后与光耦合器相连;光耦合器与第三电光调制器、波分解复用器、平衡光电探测器、采样器、数字信号处理模块依次相连。本发明具有能有效地降低系统所需PRBS的速率,突破PRBS速率对系统带宽的限制,同时提高信号的重建性能的特点。

Figure 202210880919

The invention belongs to the technical field of optical communication, and in particular relates to a photonic compressed sensing system and method for generating frequency-doubling bipolar codes based on time delay. The system includes a continuous wave light source, a programmable pulse generator, a first electro-optical modulator, a second electro-optical modulator, an optical delay line, an optocoupler, a sparse signal generator, a third electro-optical modulator, a WDM, a balanced a photodetector, a sampler and a digital signal processing module; the two output ports of the continuous wave light source are respectively connected with the first electro-optical modulator and the second electro-optical modulator; the second electro-optical modulator is connected with the optical coupler after passing through the optical delay line ; The optical coupler is connected with the third electro-optical modulator, the wave decomposition multiplexer, the balanced photodetector, the sampler and the digital signal processing module in turn. The invention has the characteristics of effectively reducing the rate of the PRBS required by the system, breaking through the limitation of the system bandwidth by the rate of the PRBS, and improving the reconstruction performance of the signal at the same time.

Figure 202210880919

Description

基于时间延迟产生倍频双极性码的光子压缩感知系统及方法Photon Compressive Sensing System and Method Based on Time Delay to Generate Frequency Doubled Bipolar Codes

技术领域technical field

本发明属于光通信技术领域,具体涉及基于时间延迟产生倍频双极性码的光子压缩感知系统及方法。The invention belongs to the technical field of optical communication, and in particular relates to a photonic compressed sensing system and method for generating frequency-doubling bipolar codes based on time delay.

背景技术Background technique

目前,压缩感知,因其在宽带信号采集中的应用前景而引起了广泛的研究兴趣。压缩感知提供了一种有效降低采样率的方法来捕获稀疏信号,其实现过程通常包括测量过程和重构过程。在测量过程中,将感兴趣的稀疏信号线性映射成几个数据点。利用这些测得的数据点,在重构过程中可以采用优化方法对稀疏信号进行重构。这些过程具体涉及稀疏信号与PRBS(伪随机二进制序列信号)的混频、低通滤波和降采样。由于光子技术和器件具有大带宽的优势,光子压缩感知被认为是超宽带稀疏信号数字化接收的一个有潜力的解决方案。到目前为止,已经有许多光子压缩感知方案被报道。At present, compressed sensing has attracted extensive research interest due to its application prospects in broadband signal acquisition. Compressed sensing provides an effective way to reduce the sampling rate to capture sparse signals, and its implementation process usually includes a measurement process and a reconstruction process. During the measurement, the sparse signal of interest is linearly mapped into several data points. Using these measured data points, optimization methods can be used to reconstruct the sparse signal during the reconstruction process. These processes specifically involve mixing, low-pass filtering and downsampling of sparse signals with PRBS (pseudo-random binary sequence signals). Due to the large bandwidth advantages of photonic technologies and devices, photonic compressive sensing is considered as a potential solution for the digital reception of ultra-wideband sparse signals. So far, many photonic compressed sensing schemes have been reported.

在国外现有的文献资料中,Valley等人最先提出了光子压缩感知的方案,他们利用脉冲激光源和空间光调制器实现了稀疏射频信号和伪随机序列在光域的混频。同时,还有人提出了光混频是使用连续波光源和电光调制器实现的。另外,还有人提出将光子压缩感知与光子时间拉伸技术结合,以进一步降低捕获超宽带信号的采样率。此后,还有光域实现低通滤波的压缩感知方案,基于调制宽带转换器的光子多通道方案等。In the existing literature abroad, Valley et al. first proposed a photonic compressed sensing scheme. They used a pulsed laser source and a spatial light modulator to realize the mixing of sparse RF signals and pseudo-random sequences in the optical domain. At the same time, it has been proposed that optical mixing is achieved using a continuous wave light source and an electro-optic modulator. In addition, it has been proposed to combine photonic compressed sensing with photonic time-stretching techniques to further reduce the sampling rate for capturing UWB signals. Since then, there are compressed sensing schemes for realizing low-pass filtering in the optical domain, and photonic multi-channel schemes based on modulated broadband converters.

但是由于随机混频所需的PRBS速率要大于等于稀疏射频信号的奈奎斯特率,在频率较高的应用场景中,对于产生PRBS的电子器件是一个极大的挑战。除此之外,光链路具有强度调制-直接检测的特性,所以与稀疏信号混频的PRBS通常是单极性的,这影响了压缩感知系统中信号的恢复性能。However, since the PRBS rate required for random mixing is greater than or equal to the Nyquist rate of the sparse RF signal, it is a great challenge for the electronic devices that generate PRBS in high-frequency application scenarios. Besides, the optical link has the characteristics of intensity modulation-direct detection, so the PRBS mixed with sparse signal is usually unipolar, which affects the signal recovery performance in the compressed sensing system.

因此,设计一种能有效地降低系统所需PRBS的速率,突破PRBS速率对系统带宽的限制,同时提高信号的重建性能的基于时间延迟产生倍频双极性码的光子压缩感知系统及方法,就显得十分重要。Therefore, a photonic compressed sensing system and method based on time delay to generate frequency-doubling bipolar codes, which can effectively reduce the rate of PRBS required by the system, break through the limitation of the PRBS rate on the system bandwidth, and improve the reconstruction performance of the signal, are designed. becomes very important.

例如,申请号为CN202111332890.2的中国专利文献描述的基于微波光子滤波和压缩感知技术的宽带测频系统及方法,利用多波长光源提供光载波,通过第一马赫曾德尔调制器将待测宽带信号调制在光载波上,再进入第二马赫曾德尔调制器,将随机序列调制在光信号上,通过色散光纤引入群速度色散后,光信号经过第一光耦合器分为两路,一路通向第一光衰减器和第一光电探测器,另一路通向第一可调谐光延迟线后再次由第二光耦合器分为两路,其中一路通向第二光衰减器和第二光电探测器,另一路通向第二可调谐光延迟线、第三光衰减器和第三光电探测器,在第一光电探测器、第二光电探测器和第三光电探测器光电转换之后多个通道中不同延迟的信号累加,最后进入电子模数转换器和数字信号处理模块。虽然可减少所需要的可调谐激光源数量,降低了系统成本,并且对激光源的波长调谐范围、可调谐光延迟线调谐范围的要求也大大降低,低通滤波的性能得到了提升,延迟线通道的数量也可以根据压缩率进行调整,进而增强了系统的可重构性,但是其缺点在于,仍然会影响压缩感知系统中信号的恢复性能。For example, the broadband frequency measurement system and method based on microwave photon filtering and compressed sensing technology described in the Chinese patent document with application number CN202111332890.2 utilizes a multi-wavelength light source to provide an optical carrier, and the first Mach-Zehnder modulator converts the broadband frequency to be measured. The signal is modulated on the optical carrier, and then enters the second Mach-Zehnder modulator to modulate the random sequence on the optical signal. After the group velocity dispersion is introduced through the dispersive fiber, the optical signal is divided into two paths through the first optical coupler. To the first optical attenuator and the first photodetector, the other channel leads to the first tunable optical delay line, and then is divided into two channels by the second optical coupler, one of which leads to the second optical attenuator and the second photoelectric the detector, the other path leads to the second tunable optical delay line, the third optical attenuator and the third photodetector, after the photoelectric conversion of the first photodetector, the second photodetector and the third photodetector Signals with different delays in the channel are accumulated, and finally enter the electronic analog-to-digital converter and digital signal processing module. Although the number of tunable laser sources required can be reduced, the system cost can be reduced, and the requirements for the wavelength tuning range of the laser source and the tuning range of the tunable optical delay line are also greatly reduced, and the performance of low-pass filtering has been improved. The number of channels can also be adjusted according to the compression ratio, thereby enhancing the reconfigurability of the system, but its disadvantage is that it still affects the signal recovery performance in the compressed sensing system.

发明内容SUMMARY OF THE INVENTION

本发明是为了克服现有技术中,由于随机混频所需的PRBS速率要大于等于稀疏射频信号的奈奎斯特率,且光链路具有强度调制-直接检测的特性,加上与稀疏信号混频的PRBS通常是单极性的,导致影响了压缩感知系统中信号的恢复性能的问题,提供了一种能有效地降低系统所需PRBS的速率,突破PRBS速率对系统带宽的限制,同时提高信号的重建性能的基于时间延迟产生倍频双极性码的光子压缩感知系统及方法。The present invention is to overcome in the prior art, since the PRBS rate required for random mixing is greater than or equal to the Nyquist rate of the sparse radio frequency signal, and the optical link has the characteristics of intensity modulation and direct detection, plus the sparse signal The mixed PRBS is usually unipolar, which leads to the problem of affecting the signal recovery performance in the compressed sensing system. It provides a rate that can effectively reduce the PRBS required by the system, breaks through the limitation of the PRBS rate on the system bandwidth, and at the same time A photonic compressed sensing system and method for generating frequency-doubling bipolar codes based on time delay to improve signal reconstruction performance.

为了达到上述发明目的,本发明采用以下技术方案:In order to achieve the above-mentioned purpose of the invention, the present invention adopts the following technical solutions:

基于时间延迟产生倍频双极性码的光子压缩感知系统,包括连续波光源、可编程脉冲发生器、第一电光调制器、第二电光调制器、光延迟线、光耦合器、稀疏信号发生器、第三电光调制器、波分解复用器、平衡光电探测器、采样器和数字信号处理模块;所述连续波光源的两个输出端口分别与第一电光调制器和第二电光调制器相连;所述第一电光调制器与耦合器相连;所述第二电光调制器经过光延迟线后与光耦合器相连;所述可编程脉冲发生器接入第一电光调制器和第二电光调制器;所述光耦合器与第三电光调制器、波分解复用器、平衡光电探测器、采样器、数字信号处理模块依次相连;所述稀疏信号发生器接入第三电光调制器。Photonic compressive sensing system based on time delay to generate frequency doubled bipolar codes, including continuous wave light source, programmable pulse generator, first electro-optical modulator, second electro-optical modulator, optical delay line, optical coupler, sparse signal generation device, a third electro-optical modulator, a wavelength decomposition multiplexer, a balanced photodetector, a sampler and a digital signal processing module; the two output ports of the continuous wave light source are respectively connected with the first electro-optical modulator and the second electro-optical modulator The first electro-optical modulator is connected to the coupler; the second electro-optical modulator is connected to the optical coupler after passing through the optical delay line; the programmable pulse generator is connected to the first electro-optical modulator and the second electro-optical modulator a modulator; the optical coupler is connected with the third electro-optic modulator, the WDM, the balanced photodetector, the sampler and the digital signal processing module in sequence; the sparse signal generator is connected to the third electro-optic modulator.

作为优选,所述可编程脉冲发生器产生的伪随机信号分别通过第一电光调制器和第二电光调制器,调制在由连续波光源产生的两路不同波长的光信号上,其中一路光信号经过光延迟线产生时间延迟;两路调制后的光信号经过光耦合器合成一路。Preferably, the pseudo-random signal generated by the programmable pulse generator is modulated on two optical signals of different wavelengths generated by the continuous wave light source through the first electro-optical modulator and the second electro-optical modulator, wherein one optical signal is The time delay is generated by the optical delay line; the two modulated optical signals are synthesized by an optical coupler.

作为优选,稀疏信号发生器产生的稀疏信号通过第三电光调制器,同时完成与两路伪随机信号的混频,再经过波分解复用器将两路光信号分开,并送入平衡光电探测器完成光电转换,同时得到两路光信号的差,产生新的倍频双极性伪随机码。Preferably, the sparse signal generated by the sparse signal generator passes through the third electro-optical modulator, and at the same time completes the frequency mixing with the two channels of pseudo-random signals, and then separates the two channels of optical signals through the WDM, and sends them to the balanced photodetector The device completes the photoelectric conversion, and obtains the difference of the two optical signals at the same time, and generates a new frequency-doubling bipolar pseudo-random code.

作为优选,所述采样器和数字信号处理模块用于完成低通滤波、降采样和信号恢复过程。Preferably, the sampler and the digital signal processing module are used to complete the process of low-pass filtering, down-sampling and signal recovery.

作为优选,所述连续波光源为具有两个输出端的光源或为两个单输出端的连续波光源。Preferably, the continuous wave light source is a light source with two output ends or a continuous wave light source with two single output ends.

作为优选,所述光延迟线产生的时间延迟为(2N+1)/2个伪随机信号的比特时间,N可为任意正整数。Preferably, the time delay generated by the optical delay line is (2N+1)/2 bit time of the pseudo-random signal, and N can be any positive integer.

作为优选,所述光耦合器采用波分复用器替换。Preferably, the optical coupler is replaced by a wavelength division multiplexer.

本发明还提供了基于时间延迟产生倍频双极性码的光子压缩感知方法,包括如下步骤;The present invention also provides a photon compressed sensing method for generating frequency-doubling bipolar codes based on time delay, comprising the following steps;

S1,将连续波光源发出的两路光载波信号的波长设置为与波分解复用器的中心波长一致;S1, setting the wavelengths of the two paths of optical carrier signals emitted by the continuous wave light source to be consistent with the center wavelength of the WDM;

S2,由可编程脉冲发生器产生的伪随机信号分别通过第一电光调制器、第二电光调制器,调制在两路光信号上,其中一路的调制光信号经过光延迟线产生延迟,通过调节光延迟线,让延迟时间设定为(2N+1)/2个伪随机信号的比特周期,其中N为任意正整数;S2, the pseudo-random signal generated by the programmable pulse generator is modulated on the two optical signals through the first electro-optical modulator and the second electro-optical modulator respectively, and one of the modulated optical signals is delayed by the optical delay line, and by adjusting Optical delay line, let the delay time be set to (2N+1)/2 bit periods of pseudo-random signals, where N is any positive integer;

S3,步骤S2中两路调制后的光信号经过光耦合器合成一路光信号,第三电光调制器调制输入的稀疏信号,使伪随机信号与稀疏信号混频;S3, the two modulated optical signals in step S2 are synthesized by an optical coupler to synthesize one optical signal, and the third electro-optic modulator modulates the input sparse signal to mix the pseudo-random signal and the sparse signal;

S4,混频后的信号经过波分解复用器,将两个不同波长的混频光信号分离,再通过平衡光电探测器将光信号转换为电信号,同时使两路混频光信号相减,获得新的倍频双极性PRBS;S4, the mixed signal passes through the wavelength decomposition multiplexer to separate the two mixed optical signals of different wavelengths, and then converts the optical signal into an electrical signal through a balanced photodetector, and simultaneously subtracts the two mixed optical signals , to obtain a new frequency-doubling bipolar PRBS;

S5,利用采样器和数字信号处理模块完成低通滤波、降采样和信号恢复过程。S5, using a sampler and a digital signal processing module to complete the process of low-pass filtering, down-sampling and signal recovery.

本发明与现有技术相比,有益效果是:本发明利用光延迟线、平衡光电探测器产生倍频且具有零均值特性的PRBS,有效地降低了系统所需PRBS的速率,突破了PRBS速率对系统带宽的限制,同时提高了信号的重建性能。Compared with the prior art, the present invention has the beneficial effects that the present invention utilizes an optical delay line and a balanced photodetector to generate a PRBS with frequency doubling and zero-average characteristics, which effectively reduces the rate of the PRBS required by the system and breaks through the PRBS rate Limiting system bandwidth while improving signal reconstruction performance.

附图说明Description of drawings

图1为本发明中基于时间延迟产生倍频双极性码的光子压缩感知系统的一种原理框图;Fig. 1 is a kind of principle block diagram of the photonic compressed sensing system of frequency-doubling bipolar code generation based on time delay in the present invention;

图2为本发明中基于时间延迟产生倍频双极性码的光子压缩感知系统产生的新的倍频双极性PRBS与原PRBS的一种对比示意图;Fig. 2 is a kind of contrasting schematic diagram of the new frequency-doubling bipolar PRBS and the original PRBS that the photonic compressed sensing system that generates frequency-doubling bipolar codes based on time delay in the present invention produces;

图3为本发明中基于时间延迟产生倍频双极性码的光子压缩感知系统的一种仿真结果图;Fig. 3 is a kind of simulation result diagram of the photonic compressed sensing system of frequency-doubling bipolar code generation based on time delay in the present invention;

图4为本发明中基于时间延迟产生倍频双极性码的光子压缩感知系统的另一种仿真结果图。FIG. 4 is another simulation result diagram of the photonic compressed sensing system for generating frequency-doubling bipolar codes based on time delay in the present invention.

图中:连续波光源1、可编程脉冲发生器2、第一电光调制器3、第二电光调制器4、光延迟线5、光耦合器6、稀疏信号发生器7、第三电光调制器8、波分解复用器9、平衡光电探测器10、采样器11、数字信号处理模块12。In the figure: continuous wave light source 1, programmable pulse generator 2, first electro-optical modulator 3, second electro-optical modulator 4, optical delay line 5, optical coupler 6, sparse signal generator 7, third electro-optical modulator 8. Wave decomposition multiplexer 9 , balanced photodetector 10 , sampler 11 , digital signal processing module 12 .

具体实施方式Detailed ways

为了更清楚地说明本发明实施例,下面将对照附图说明本发明的具体实施方式。显而易见地,下面描述中的附图仅仅是本发明的一些实施例,对于本领域普通技术人员来讲,在不付出创造性劳动的前提下,还可以根据这些附图获得其他的附图,并获得其他的实施方式。In order to describe the embodiments of the present invention more clearly, the following will describe specific embodiments of the present invention with reference to the accompanying drawings. Obviously, the accompanying drawings in the following description are only some embodiments of the present invention. For those of ordinary skill in the art, other drawings can also be obtained from these drawings without creative efforts, and obtain other implementations.

实施例:Example:

如图1所示的基于时间延迟产生倍频双极性码的光子压缩感知系统,包括连续波光源1、可编程脉冲发生器2、第一电光调制器3、第二电光调制器4、光延迟线5、光耦合器6、稀疏信号发生器7、第三电光调制器8、波分解复用器9、平衡光电探测器10、采样器11和数字信号处理模块12;所述连续波光源的两个输出端口分别与第一电光调制器和第二电光调制器相连;所述第一电光调制器与耦合器相连;所述第二电光调制器经过光延迟线后与光耦合器相连;所述可编程脉冲发生器接入第一电光调制器和第二电光调制器;所述光耦合器与第三电光调制器、波分解复用器、平衡光电探测器、采样器、数字信号处理模块依次相连;所述稀疏信号发生器接入第三电光调制器。As shown in Fig. 1, a photonic compressed sensing system based on time delay to generate frequency-doubling bipolar codes, includes a continuous wave light source 1, a programmable pulse generator 2, a first electro-optical modulator 3, a second electro-optical modulator 4, a light source delay line 5, optical coupler 6, sparse signal generator 7, third electro-optical modulator 8, wave decomposition multiplexer 9, balanced photodetector 10, sampler 11 and digital signal processing module 12; the continuous wave light source The two output ports are respectively connected with the first electro-optical modulator and the second electro-optical modulator; the first electro-optical modulator is connected with the coupler; the second electro-optical modulator is connected with the optical coupler after passing through the optical delay line; The programmable pulse generator is connected to the first electro-optical modulator and the second electro-optical modulator; the optical coupler and the third electro-optical modulator, wave decomposition multiplexer, balanced photodetector, sampler, digital signal processing The modules are connected in sequence; the sparse signal generator is connected to the third electro-optic modulator.

其中,所述连续波光源为具有两个输出端的光源或为两个单输出端的连续波光源。所述光延迟线产生的时间延迟为(2N+1)/2个伪随机信号的比特时间,N可为任意正整数。光耦合器可采用波分复用器替换。数字信号处理模块具体为一台电脑,将采到的数据在matlab程序中进行处理,完成压缩感知中的低通滤波(积分累加)、降采样和信号恢复过程。Wherein, the continuous wave light source is a light source with two output ends or a continuous wave light source with two single output ends. The time delay generated by the optical delay line is (2N+1)/2 bit time of the pseudo-random signal, and N can be any positive integer. Optical couplers can be replaced with wavelength division multiplexers. The digital signal processing module is specifically a computer, which processes the collected data in the matlab program to complete the process of low-pass filtering (integration and accumulation), downsampling and signal recovery in compressed sensing.

可编程脉冲发生器产生的伪随机信号分别通过第一电光调制器和第二电光调制器,调制在由连续波光源产生的两路不同波长的光信号上,其中一路光信号经过光延迟线产生时间延迟;两路调制后的光信号经过光耦合器合成一路。稀疏信号发生器产生的稀疏信号通过第三电光调制器,同时完成与两路伪随机信号的混频,再经过波分解复用器将两路光信号分开,并送入平衡光电探测器完成光电转换,同时得到两路光信号的差,产生新的倍频双极性伪随机码。所述采样器和数字信号处理模块用于完成低通滤波、降采样和信号恢复过程。The pseudo-random signal generated by the programmable pulse generator is modulated on two optical signals of different wavelengths generated by the continuous wave light source through the first electro-optical modulator and the second electro-optical modulator, and one of the optical signals is generated by an optical delay line. Time delay; two modulated optical signals are combined into one through an optocoupler. The sparse signal generated by the sparse signal generator passes through the third electro-optical modulator, and at the same time completes the frequency mixing with the two channels of pseudo-random signals, and then separates the two channels of optical signals through the wave decomposition multiplexer, and sends it to the balanced photodetector to complete the photoelectric Conversion, at the same time, the difference between the two optical signals is obtained, and a new frequency-doubling bipolar pseudo-random code is generated. The sampler and digital signal processing module are used to complete low-pass filtering, down-sampling and signal recovery processes.

本发明还提供了基于时间延迟产生倍频双极性码的光子压缩感知方法,包括如下步骤;The present invention also provides a photon compressed sensing method for generating frequency-doubling bipolar codes based on time delay, comprising the following steps;

S1,将连续波光源发出的两路光载波信号的波长设置为与波分解复用器的中心波长一致;S1, setting the wavelengths of the two paths of optical carrier signals emitted by the continuous wave light source to be consistent with the center wavelength of the WDM;

S2,由可编程脉冲发生器产生的伪随机信号分别通过第一电光调制器、第二电光调制器,调制在两路光信号上,其中一路的调制光信号经过光延迟线产生延迟,通过调节光延迟线,让延迟时间设定为(2N+1)/2个伪随机信号的比特周期,其中N为任意正整数;S2, the pseudo-random signal generated by the programmable pulse generator is modulated on the two optical signals through the first electro-optical modulator and the second electro-optical modulator respectively, and one of the modulated optical signals is delayed by the optical delay line, and by adjusting Optical delay line, let the delay time be set to (2N+1)/2 bit periods of pseudo-random signals, where N is any positive integer;

S3,步骤S2中两路调制后的光信号经过光耦合器合成一路光信号,第三电光调制器调制输入的稀疏信号,使伪随机信号与稀疏信号混频;S3, the two modulated optical signals in step S2 are synthesized by an optical coupler to synthesize one optical signal, and the third electro-optic modulator modulates the input sparse signal to mix the pseudo-random signal and the sparse signal;

S4,混频后的信号经过波分解复用器,将两个不同波长的混频光信号分离,再通过平衡光电探测器将光信号转换为电信号,同时使两路混频光信号相减,获得新的倍频双极性PRBS;S4, the mixed signal passes through the wavelength decomposition multiplexer to separate the two mixed optical signals of different wavelengths, and then converts the optical signal into an electrical signal through a balanced photodetector, and simultaneously subtracts the two mixed optical signals , to obtain a new frequency-doubling bipolar PRBS;

S5,利用采样器和数字信号处理模块完成低通滤波、降采样和信号恢复过程。S5, using a sampler and a digital signal processing module to complete the process of low-pass filtering, down-sampling and signal recovery.

本发明涉及的基于时间延迟产生倍频双极性码的光子压缩感知系统的具体工作原理如下:The specific working principle of the photon compressed sensing system based on the time delay to generate the frequency-doubling bipolar code involved in the present invention is as follows:

该系统使用随机解调器模型进行压缩感知的测量,其测量过程可以表示为y=Φx=DHRx=DHRWθ,其中x表示稀疏信号,Φ表示M×N的测量矩阵,y表示M×1的测量结果,R表示伪随机二进制序列,H表示低通滤波矩阵,D表示降采样矩阵,W是N×N的傅里叶正交基,θ是一个N×1的向量,表示x在频域的稀疏系数,压缩感知的压缩率可以用RCS=N/M表示,从y到x的恢复过程是一个求解凸优化的问题。当矩阵乘积ΦW满足约束等距性条件,就可以利用某种恢复算法,通过求解一个最小l1范数重构问题得到一个唯一且正确的解:The system uses a random demodulator model to measure compressed sensing, and its measurement process can be expressed as y=Φx=DHRx=DHRWθ, where x represents the sparse signal, Φ represents the M×N measurement matrix, and y represents the M×1 measurement As a result, R is a pseudo-random binary sequence, H is a low-pass filter matrix, D is a downsampling matrix, W is an N×N Fourier orthonormal basis, and θ is an N×1 vector representing x in the frequency domain. Sparse coefficient, the compression ratio of compressed sensing can be expressed by R CS =N/M, and the recovery process from y to x is a problem of solving convex optimization. When the matrix product ΦW satisfies the constrained isometric condition, a recovery algorithm can be used to obtain a unique and correct solution by solving a minimum l 1 norm reconstruction problem:

Figure BDA0003764136930000071
Figure BDA0003764136930000071

假设连续波光源的光谱较为平坦,且用来调制PRBS的两路电光调制器的调制深度均较大,调制稀疏信号的电光调制器的调制系数为α,所以上路得到的混频信号可以表示为r(t)·[1+αx(t)],下路的混频信号可以表示为r(t-τ)·[1+αx(t)],其中x(t)表示稀疏信号,r(t)表示可编程脉冲发生器产生的PRBS,τ表示通过光延迟线产生的时间延迟。通过平衡光电探测器后,两路光电流分别为

Figure BDA0003764136930000072
其中P表示光功率,
Figure BDA0003764136930000073
表示平衡光电探测器的响应度,平衡光电探测器的输出为Assuming that the spectrum of the continuous wave light source is relatively flat, and the modulation depth of the two electro-optical modulators used to modulate the PRBS is large, the modulation coefficient of the electro-optical modulator for modulating the sparse signal is α, so the mixed signal obtained by adding the channel can be expressed as r(t)·[1+αx(t)], the mixed signal of the drop channel can be expressed as r(t-τ)·[1+αx(t)], where x(t) represents the sparse signal, r( t) represents the PRBS produced by the programmable pulse generator, and τ represents the time delay produced by the optical delay line. After passing through the balanced photodetector, the two photocurrents are
Figure BDA0003764136930000072
where P is the optical power,
Figure BDA0003764136930000073
represents the responsivity of the balanced photodetector, and the output of the balanced photodetector is

Figure BDA0003764136930000074
Figure BDA0003764136930000074

其中r'(t)=r(t)-r(t-τ)表示两路PRBS相减后得到的新的倍频PRBS,由于产生的r(t)是一个0和1交替的序列,r'(t)则是一个0、±1之间交替的序列,具有零均值特性。为了去除信号中的直流分量,可以在测量前的校准过程中记录序列

Figure BDA0003764136930000075
在之后的压缩感知测量过程中减掉它,可以得到混频信号Among them, r'(t)=r(t)-r(t-τ) represents the new multiplied PRBS obtained by subtracting the two PRBSs. Since the generated r(t) is an alternating sequence of 0 and 1, r '(t) is a sequence alternating between 0 and ±1, with a zero mean characteristic. In order to remove the DC component in the signal, the sequence can be recorded during the calibration process before the measurement
Figure BDA0003764136930000075
Subtracting it during subsequent compressive sensing measurements yields the mixed signal

Figure BDA0003764136930000076
Figure BDA0003764136930000076

由此,得到了稀疏信号x(t)和一个新的倍频双极性码r'(t)的混合乘积,在所需系统带宽确定的条件下,降低了所需PRBS的速率,且由于新的PRBS还具有零均值特性,提高了压缩感知系统的恢复性能。Thus, the mixed product of the sparse signal x(t) and a new frequency-doubling bipolar code r'(t) is obtained, which reduces the rate of the required PRBS under the condition that the required system bandwidth is determined. The new PRBS also has a zero mean property, which improves the recovery performance of compressed sensing systems.

在图1所示系统的仿真验证中,将该系统与基于随机解调器模型的基本压缩感知系统作出对比。仿真的参数设置如下:PRBS的频率为4.8GHz,长度为500bits,光延迟线的延迟时间为12.5个比特周期,稀疏信号的频率为1.2GHz、1.7GHz,压缩比为20。由Koh和Kim开发的压缩感知重构算法l1-ls用于恢复输入的稀疏信号。图2中的(a)图为原始的PRBS,图2中的(b)图为经过该系统后产生的新的PRBS,可以看到其频率为原来的两倍,且具有零均值特性。恢复的频谱如图3中的(a)图所示,稀疏信号得到了较好的恢复,且不存在直流分量,而图3中的(b)图为基于随机解调器模型的基本压缩感知系统的恢复结果,很明显信号没有恢复出来。In the simulation verification of the system shown in Figure 1, the system is compared with the basic compressed sensing system based on the random demodulator model. The parameters of the simulation are set as follows: the frequency of the PRBS is 4.8GHz, the length is 500bits, the delay time of the optical delay line is 12.5 bit periods, the frequency of the sparse signal is 1.2GHz, 1.7GHz, and the compression ratio is 20. The compressive sensing reconstruction algorithm l1-ls developed by Koh and Kim is used to recover the input sparse signal. Figure 2 (a) is the original PRBS, and Figure 2 (b) is the new PRBS generated after passing through the system. It can be seen that its frequency is twice the original and has zero mean characteristics. The recovered spectrum is shown in (a) in Figure 3, the sparse signal is well recovered and there is no DC component, while (b) in Figure 3 shows the basic compressed sensing based on the random demodulator model The recovery result of the system, it is obvious that the signal has not been recovered.

上述过程验证了本发明系统有效地提高了信号的恢复性能,提高了系统的压缩比。The above process verifies that the system of the present invention effectively improves the signal recovery performance and improves the compression ratio of the system.

为了进一步验证本发明系统对系统带宽的提高,重新设置仿真参数如下:PRBS的频率为4.8GHz,长度为1000bits,光延迟线的延迟时间为12.5个比特周期,稀疏信号的频率为2.7GHz、3.4GHz,压缩比为10。恢复的频谱如图4所示,可以看到频率大于fPRBS/2的信号依然得到了较好的恢复结果,这验证了本发明系统有效地提高了系统带宽。In order to further verify the improvement of the system bandwidth of the system of the present invention, the simulation parameters are reset as follows: the frequency of the PRBS is 4.8GHz, the length is 1000bits, the delay time of the optical delay line is 12.5 bit periods, and the frequency of the sparse signal is 2.7GHz, 3.4 GHz with a compression ratio of 10. The recovered spectrum is shown in Figure 4, and it can be seen that the signal with a frequency greater than f PRBS /2 still obtains a better recovery result, which verifies that the system of the present invention effectively improves the system bandwidth.

以上所述仅是对本发明的优选实施例及原理进行了详细说明,对本领域的普通技术人员而言,依据本发明提供的思想,在具体实施方式上会有改变之处,而这些改变也应视为本发明的保护范围。The above is only a detailed description of the preferred embodiments and principles of the present invention. For those of ordinary skill in the art, according to the ideas provided by the present invention, there will be changes in the specific implementation, and these changes should also be It is regarded as the protection scope of the present invention.

Claims (8)

1.基于时间延迟产生倍频双极性码的光子压缩感知系统,其特征在于,包括连续波光源、可编程脉冲发生器、第一电光调制器、第二电光调制器、光延迟线、光耦合器、稀疏信号发生器、第三电光调制器、波分解复用器、平衡光电探测器、采样器和数字信号处理模块;所述连续波光源的两个输出端口分别与第一电光调制器和第二电光调制器相连;所述第一电光调制器与耦合器相连;所述第二电光调制器经过光延迟线后与光耦合器相连;所述可编程脉冲发生器接入第一电光调制器和第二电光调制器;所述光耦合器与第三电光调制器、波分解复用器、平衡光电探测器、采样器、数字信号处理模块依次相连;所述稀疏信号发生器接入第三电光调制器。1. the photon compressed sensing system of frequency-doubling bipolar code is produced based on time delay, it is characterized in that, comprise continuous wave light source, programmable pulse generator, the first electro-optical modulator, the second electro-optical modulator, optical delay line, optical a coupler, a sparse signal generator, a third electro-optical modulator, a wave decomposition multiplexer, a balanced photodetector, a sampler and a digital signal processing module; the two output ports of the continuous wave light source are respectively connected to the first electro-optical modulator connected with the second electro-optical modulator; the first electro-optical modulator is connected with the coupler; the second electro-optical modulator is connected with the optical coupler after passing through the optical delay line; the programmable pulse generator is connected to the first electro-optical a modulator and a second electro-optical modulator; the optical coupler is connected to the third electro-optical modulator, a wavelength division multiplexer, a balanced photodetector, a sampler, and a digital signal processing module in sequence; the sparse signal generator is connected to The third electro-optic modulator. 2.根据权利要求1所述的基于时间延迟产生倍频双极性码的光子压缩感知系统,其特征在于,所述可编程脉冲发生器产生的伪随机信号分别通过第一电光调制器和第二电光调制器,调制在由连续波光源产生的两路不同波长的光信号上,其中一路光信号经过光延迟线产生时间延迟;两路调制后的光信号经过光耦合器合成一路。2. the photon compressive sensing system of generating frequency-doubling bipolar codes based on time delay according to claim 1, is characterized in that, the pseudorandom signal that described programmable pulse generator produces passes through the first electro-optical modulator and the first electro-optical modulator respectively. Two electro-optic modulators are modulated on two optical signals of different wavelengths generated by a continuous wave light source, one of which is delayed by an optical delay line; the two modulated optical signals are combined by an optical coupler. 3.根据权利要求2所述的基于时间延迟产生倍频双极性码的光子压缩感知系统,其特征在于,稀疏信号发生器产生的稀疏信号通过第三电光调制器,同时完成与两路伪随机信号的混频,再经过波分解复用器将两路光信号分开,并送入平衡光电探测器完成光电转换,同时得到两路光信号的差,产生新的倍频双极性伪随机码。3. the photon compressive sensing system based on time delay generation frequency doubled bipolar code according to claim 2, is characterized in that, the sparse signal that sparse signal generator produces passes through the 3rd electro-optical modulator, completes with two-way pseudo simultaneously. The random signal is mixed, and then the two optical signals are separated by the wave decomposition multiplexer, and sent to the balanced photodetector to complete the photoelectric conversion. At the same time, the difference between the two optical signals is obtained, and a new frequency doubled bipolar pseudo random code. 4.根据权利要求3所述的基于时间延迟产生倍频双极性码的光子压缩感知系统,其特征在于,所述采样器和数字信号处理模块用于完成低通滤波、降采样和信号恢复过程。4. the photon compressive sensing system of generating frequency-doubling bipolar code based on time delay according to claim 3, is characterized in that, described sampler and digital signal processing module are used to complete low-pass filtering, down-sampling and signal recovery process. 5.根据权利要求1所述的基于时间延迟产生倍频双极性码的光子压缩感知系统,其特征在于,所述连续波光源为具有两个输出端的光源或为两个单输出端的连续波光源。5. The photon compressed sensing system for generating frequency-doubling bipolar codes based on time delay according to claim 1, wherein the continuous wave light source is a light source with two output ends or a continuous wave with two single output ends light source. 6.根据权利要求1所述的基于时间延迟产生倍频双极性码的光子压缩感知系统,其特征在于,所述光延迟线产生的时间延迟为(2N+1)/2个伪随机信号的比特时间,N可为任意正整数。6. The photonic compressed sensing system for generating frequency-doubling bipolar codes based on time delay according to claim 1, wherein the time delay generated by the optical delay line is (2N+1)/2 pseudo-random signals The bit time of , N can be any positive integer. 7.根据权利要求1所述的基于时间延迟产生倍频双极性码的光子压缩感知系统,其特征在于,所述光耦合器采用波分复用器替换。7 . The photonic compressed sensing system for generating frequency-doubling bipolar codes based on time delay according to claim 1 , wherein the optical coupler is replaced by a wavelength division multiplexer. 8 . 8.基于时间延迟产生倍频双极性码的光子压缩感知方法,基于权利要求1所述的基于时间延迟产生倍频双极性码的光子压缩感知系统,其特征在于,包括如下步骤;8. produce the photon compressive sensing method of frequency doubled bipolar code based on time delay, produce the photon compressed sensing system of frequency doubled bipolar code based on time delay according to claim 1, it is characterized in that, comprise the steps; S1,将连续波光源发出的两路光载波信号的波长设置为与波分解复用器的中心波长一致;S1, setting the wavelengths of the two paths of optical carrier signals emitted by the continuous wave light source to be consistent with the center wavelength of the WDM; S2,由可编程脉冲发生器产生的伪随机信号分别通过第一电光调制器、第二电光调制器,调制在两路光信号上,其中一路的调制光信号经过光延迟线产生延迟,通过调节光延迟线,让延迟时间设定为(2N+1)/2个伪随机信号的比特周期,其中N为任意正整数;S2, the pseudo-random signal generated by the programmable pulse generator is modulated on the two optical signals through the first electro-optical modulator and the second electro-optical modulator respectively, and one of the modulated optical signals is delayed by the optical delay line, and by adjusting Optical delay line, let the delay time be set to (2N+1)/2 bit periods of pseudo-random signals, where N is any positive integer; S3,步骤S2中两路调制后的光信号经过光耦合器合成一路信号,第三电光调制器调制输入的稀疏信号,使伪随机信号与稀疏信号混频;S3, the two modulated optical signals in step S2 are combined with one signal through an optical coupler, and the third electro-optic modulator modulates the input sparse signal to mix the pseudo-random signal and the sparse signal; S4,混频后的信号经过波分解复用器,将两个不同波长的混频光信号分离,再通过平衡光电探测器将光信号转换为电信号,同时使两路混频光信号相减,获得新的倍频双极性PRBS;S4, the mixed signal passes through the wavelength decomposition multiplexer to separate the two mixed optical signals of different wavelengths, and then converts the optical signal into an electrical signal through a balanced photodetector, and simultaneously subtracts the two mixed optical signals , to obtain a new frequency-doubling bipolar PRBS; S5,利用采样器和数字信号处理模块完成低通滤波、降采样和信号恢复过程。S5, using a sampler and a digital signal processing module to complete the process of low-pass filtering, down-sampling and signal recovery.
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