CN116147754A - A Method for Extracting Vibration Feature of UHF Target - Google Patents

A Method for Extracting Vibration Feature of UHF Target Download PDF

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CN116147754A
CN116147754A CN202310296072.4A CN202310296072A CN116147754A CN 116147754 A CN116147754 A CN 116147754A CN 202310296072 A CN202310296072 A CN 202310296072A CN 116147754 A CN116147754 A CN 116147754A
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phase
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晏春回
姚东
孟令通
王含宇
蒋春明
梁瀚钢
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Changchun Institute of Optics Fine Mechanics and Physics of CAS
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Abstract

一种超高频目标振动特征提取方法涉及激光相干测振技术领域,解决了对激光超高频测振系统目标振动信息的提取的准确度仍需提高的问题,该方法为:根据基带信号的同相载波信号I和基带信号的正交载波信号Q之间的幅值偏差、I与理想载波信号频率之间的偏差、以及Q与理想载波信号频率之间的偏差,计算得到相位误差增益因子;利用包含相位误差增益因子的目标振动信息补偿算法模型得到目标振动信息。本发明对幅值和频率偏差引起的相位误差进行量化补偿,减小两路载波调制不均对解调精度的影响,实现超高频微振动信号的高精度解调。

Figure 202310296072

A method for extracting vibration characteristics of ultra-high frequency targets relates to the field of laser coherent vibrometer technology, which solves the problem that the accuracy of target vibration information extraction for laser ultra-high frequency vibrometer systems still needs to be improved. The method is as follows: according to the baseband signal The amplitude deviation between the quadrature carrier signal Q of the in-phase carrier signal I and the baseband signal, the deviation between I and the ideal carrier signal frequency, and the deviation between Q and the ideal carrier signal frequency are calculated to obtain the phase error gain factor; The target vibration information is obtained by using the target vibration information compensation algorithm model including the phase error gain factor. The invention quantifies and compensates the phase error caused by the amplitude and frequency deviation, reduces the influence of the uneven modulation of the two carriers on the demodulation accuracy, and realizes the high-precision demodulation of the ultra-high frequency micro-vibration signal.

Figure 202310296072

Description

一种超高频目标振动特征提取方法A method for extracting ultra-high frequency target vibration features

技术领域Technical Field

本发明涉及激光相干测振技术领域,具体涉及一种超高频目标振动特征提取方法。The invention relates to the technical field of laser coherent vibration measurement, and in particular to a method for extracting ultra-high frequency target vibration characteristics.

背景技术Background Art

在激光多普勒超高频微振动测量领域,目标振动解调算法主要包括微分交叉相乘算法和反正切鉴相算法,其中反正切因实现方式简单且能抑制幅值噪声而成为解调的主流方式。传统的反正切解调方式只需要根据简单的三角函数关系即可恢复目标调制产生的相位,进而提取目标振动信息。In the field of laser Doppler ultra-high frequency micro-vibration measurement, the target vibration demodulation algorithm mainly includes the differential cross-multiplication algorithm and the inverse tangent phase detection algorithm. Among them, the inverse tangent has become the mainstream demodulation method because of its simple implementation and ability to suppress amplitude noise. The traditional inverse tangent demodulation method only needs to recover the phase generated by the target modulation based on a simple trigonometric function relationship, and then extract the target vibration information.

传统的反正切微振动信号解调算法依赖探测器输出光电流信号的正交性,利用正交基带信号对微振动信号进行高精度解调。由于基带信号的幅值和相位实际测量值与理论值存在偏差,传统反正切算法若按理想正交方式对微振动信号进行解调会导致解调精度下降,不能准确提取微振动信号特征。The traditional inverse tangent micro-vibration signal demodulation algorithm relies on the orthogonality of the detector output photocurrent signal and uses the orthogonal baseband signal to demodulate the micro-vibration signal with high precision. Since there is a deviation between the actual measured value and the theoretical value of the amplitude and phase of the baseband signal, if the traditional inverse tangent algorithm demodulates the micro-vibration signal in an ideal orthogonal manner, the demodulation accuracy will decrease and the micro-vibration signal characteristics cannot be accurately extracted.

因此,需要设计一种新的解调算法研究以实现超高频微振动信号的高精度解调。Therefore, it is necessary to design a new demodulation algorithm to achieve high-precision demodulation of ultra-high frequency micro-vibration signals.

发明内容Summary of the invention

为了解决对激光超高频测振系统目标振动信息的提取的准确度仍需提高的问题,本发明提供一种超高频目标振动特征提取方法。In order to solve the problem that the accuracy of extracting target vibration information of a laser ultra-high frequency vibrometer system still needs to be improved, the present invention provides an ultra-high frequency target vibration feature extraction method.

本发明为解决技术问题所采用的技术方案如下:The technical solution adopted by the present invention to solve the technical problem is as follows:

一种超高频目标振动特征提取方法,包括:A method for extracting ultra-high frequency target vibration features, comprising:

步骤一、根据基带信号的同相载波信号I和基带信号的正交载波信号Q之间的幅值偏差ΔU、I与理想载波信号频率之间的偏差fei、以及Q与理想载波信号频率之间的偏差feq,计算得到相位误差增益因子δ;Step 1: Calculate the phase error gain factor δ according to the amplitude deviation ΔU between the in-phase carrier signal I of the baseband signal and the orthogonal carrier signal Q of the baseband signal, the deviation fei between I and the ideal carrier signal frequency, and the deviation feq between Q and the ideal carrier signal frequency;

步骤二、利用包含δ的目标振动信息补偿算法模型得到目标振动信息。Step 2: Utilize the target vibration information compensation algorithm model including δ to obtain the target vibration information.

本发明的有益效果是:The beneficial effects of the present invention are:

本发明的一种超高频目标振动特征提取方法对幅值和频率偏差引起的相位误差进行量化补偿,减小两路载波调制不均对解调精度的影响。利用目标振动信息补偿算法模型对目标振动引起的相位进行精确补偿,因此可对目标振动信息进行精确提取,实现超高频微振动信号的高精度解调。The ultra-high frequency target vibration feature extraction method of the present invention quantizes and compensates for the phase error caused by the amplitude and frequency deviation, and reduces the influence of the uneven modulation of the two carriers on the demodulation accuracy. The target vibration information compensation algorithm model is used to accurately compensate for the phase caused by the target vibration, so that the target vibration information can be accurately extracted to achieve high-precision demodulation of the ultra-high frequency micro-vibration signal.

附图说明BRIEF DESCRIPTION OF THE DRAWINGS

图1为本发明的一种超高频目标振动特征提取方法的流程图。FIG1 is a flow chart of an ultra-high frequency target vibration feature extraction method of the present invention.

图2为本发明的一种超高频目标振动特征提取方法的正交解调过程图。FIG. 2 is a diagram of an orthogonal demodulation process of an ultra-high frequency target vibration feature extraction method of the present invention.

图3为本发明的一种超高频目标振动特征提取方法的反正切解调过程图。FIG. 3 is a diagram of an inverse tangent demodulation process of an ultra-high frequency target vibration feature extraction method of the present invention.

具体实施方式DETAILED DESCRIPTION

下面结合附图和实施例对本发明做进一步详细说明。The present invention is further described in detail below with reference to the accompanying drawings and embodiments.

一种超高频目标振动特征提取方法,如图1,方法具体为:A method for extracting ultra-high frequency target vibration features is shown in Figure 1. The specific method is as follows:

让光电流信号分别与两路载波信号做混频并通过低通滤波器,保留包含目标振动信息的差频分量,去除包含高频噪声的和频分量,得到两路正交I&Q基带信号。The photocurrent signal is mixed with two carrier signals respectively and passed through a low-pass filter to retain the difference frequency component containing the target vibration information and remove the sum frequency component containing high-frequency noise to obtain two orthogonal I&Q baseband signals.

两路I&Q基带信号(I是指基带信号的同相载波信号和Q是指基带信号的正交载波信号)的幅值和频率由于噪声的影响总会存在一定的偏差,导致反正切解调出的目标振动信息也存在偏差,因此需要采用相位补偿对目标振动信息进行精确解调。假设两路载波信号的幅值偏差为ΔU,两路载波信号与理想载波信号频率之间的偏差分别为fei和feq。因此,两路基带信号可以表示为The amplitude and frequency of the two I&Q baseband signals (I refers to the in-phase carrier signal of the baseband signal and Q refers to the orthogonal carrier signal of the baseband signal) will always have a certain deviation due to the influence of noise, resulting in deviation of the target vibration information demodulated by the inverse tangent. Therefore, phase compensation is required to accurately demodulate the target vibration information. Assume that the amplitude deviation of the two carrier signals is ΔU, and the deviations between the two carrier signals and the ideal carrier signal frequency are fei and feq respectively. Therefore, the two baseband signals can be expressed as

Figure BDA0004143161830000021
Figure BDA0004143161830000021

其中,ui(t)表示基带信号的同相载波信号的幅值,uq(t)表示基带信号的正交载波信号的幅值,U表示理想载波信号的幅值,ΔU表示同相载波信号和正交载波信号的幅值偏差,fei表示同相载波信号与理想载波信号频率之间的偏差,feq表示正交载波信号与理想载波信号频率之间的偏差,t表示时间,fc表示理想载波信号频率。Among them, ui (t) represents the amplitude of the in-phase carrier signal of the baseband signal, uq (t) represents the amplitude of the orthogonal carrier signal of the baseband signal, U represents the amplitude of the ideal carrier signal, ΔU represents the amplitude deviation between the in-phase carrier signal and the orthogonal carrier signal, fei represents the deviation between the in-phase carrier signal and the ideal carrier signal frequency, feq represents the deviation between the orthogonal carrier signal and the ideal carrier signal frequency, t represents time, and fc represents the ideal carrier signal frequency.

为了得到目标振动信息,本发明让光电流信号分别与两路载波信号做混频并混频后通过低通滤波器,保留包含目标振动信息的差频分量,去除包含高频噪声的和频分量,得到两路正交I&Q基带信号。如图2示出了正交解调过程:光电流信号与正弦载波信号sin(2πfAOMt)在第一混频器1中做相干混频,再通过第一低通滤波器2滤除混频后产生的差频分量,光电流信号与余弦载波信号cos(2πfAOMt)分别在第二混频器3中做相干混频,再通过第二低通滤波器4滤除混频后产生的差频分量,保留包含目标振动信息的差频分量,得到相互正交的基带信号,正交基带信号是后续信号处理的重要前提。图2中的sin(2πfAOMt)表示同相载波信号,cos(2πfAOMt)表示正交载波信号,fAOM表示声光调制器的载波频率。In order to obtain the target vibration information, the present invention allows the photocurrent signal to be mixed with two carrier signals respectively and then pass through a low-pass filter after mixing, retaining the difference frequency component containing the target vibration information, removing the sum frequency component containing high-frequency noise, and obtaining two orthogonal I&Q baseband signals. As shown in Figure 2, the orthogonal demodulation process: the photocurrent signal and the sine carrier signal sin (2πf AOM t) are coherently mixed in the first mixer 1, and then the difference frequency component generated after mixing is filtered out by the first low-pass filter 2, the photocurrent signal and the cosine carrier signal cos (2πf AOM t) are coherently mixed in the second mixer 3, and then the difference frequency component generated after mixing is filtered out by the second low-pass filter 4, retaining the difference frequency component containing the target vibration information, and obtaining mutually orthogonal baseband signals. The orthogonal baseband signal is an important prerequisite for subsequent signal processing. In Figure 2, sin (2πf AOM t) represents the in-phase carrier signal, cos (2πf AOM t) represents the orthogonal carrier signal, and f AOM represents the carrier frequency of the acousto-optic modulator.

Figure BDA0004143161830000031
Figure BDA0004143161830000031

其中,I(t)表示基带信号的同相载波信号,Q(t)表示基带信号的正交载波信号,Δi(t)表示光电流信号,hLPF表示低通滤波器的传递函数,K表示光电转换参数,Pm和Pr分别表示测量光和本振光的功率,

Figure BDA0004143161830000032
表示包含目标位移信息s(t)的相位信息,
Figure BDA0004143161830000033
为延迟相位,λ表示测量光的波长。Where, I(t) represents the in-phase carrier signal of the baseband signal, Q(t) represents the orthogonal carrier signal of the baseband signal, Δi(t) represents the photocurrent signal, h LPF represents the transfer function of the low-pass filter, K represents the photoelectric conversion parameter, P m and P r represent the power of the measurement light and the local oscillator light, respectively.
Figure BDA0004143161830000032
represents the phase information containing the target displacement information s(t),
Figure BDA0004143161830000033
is the delayed phase, and λ is the wavelength of the measured light.

从两路基带信号的表达式公式(2)中,可以推导出包含目标位移信息s(t)、幅值偏差ΔU以及频率偏差fei和feq的计算相位值

Figure BDA0004143161830000034
From the expression formula (2) of the two baseband signals, the calculated phase values including the target displacement information s(t), the amplitude deviation ΔU, and the frequency deviations fei and feq can be derived:
Figure BDA0004143161830000034

Figure BDA0004143161830000035
Figure BDA0004143161830000035

在此基础上,我们定义包含相位信息和偏差信息的相位误差增益因子,On this basis, we define the phase error gain factor that contains phase information and deviation information,

Figure BDA0004143161830000036
Figure BDA0004143161830000036

载波信号的不稳定引起的相位偏差可以表示为相位误差增益因子的表达式,The phase deviation caused by the instability of the carrier signal can be expressed as the expression of the phase error gain factor,

Figure BDA0004143161830000037
Figure BDA0004143161830000037

其中,

Figure BDA0004143161830000038
表示同相载波信号和正交载波信号的不稳定引起的相位偏差,
Figure BDA0004143161830000039
即上述
Figure BDA00041431618300000310
in,
Figure BDA0004143161830000038
Indicates the phase deviation caused by the instability of the in-phase carrier signal and the orthogonal carrier signal.
Figure BDA0004143161830000039
That is,
Figure BDA00041431618300000310

幅值偏差ΔU是一个极小量,频率偏差fei和feq两者近似相等,因此相位误差增益因子δ是一个极小量,本发明可以利用泰勒级数展开式对f(δ)进行泰勒展开,进而得到The amplitude deviation ΔU is a very small quantity, and the frequency deviations fei and feq are approximately equal, so the phase error gain factor δ is a very small quantity. The present invention can use the Taylor series expansion to perform Taylor expansion on f(δ), and then obtain

Figure BDA0004143161830000041
Figure BDA0004143161830000041

其中,o(·)表示高阶无穷小。Here, o(·) represents a higher-order infinitesimal.

至此,得到了包含相位误差增益因子δ的目标振动信息补偿算法模型。首先根据两路载波信号的幅值偏差ΔU和频率偏差得到相位误差增益因子,再利用目标振动信息补偿算法模型得到目标振动信息的真实值。So far, the target vibration information compensation algorithm model including the phase error gain factor δ is obtained. First, the phase error gain factor is obtained according to the amplitude deviation ΔU and frequency deviation of the two carrier signals, and then the target vibration information compensation algorithm model is used to obtain the true value of the target vibration information.

所述目标振动信息包括目标位移信息、目标速度信息和目标加速度信息。如图3,示出了反正切解调过程:I&Q两路基带信号经过对应的低通滤波器后得到公式(2)的I(t)和Q(t),I(t)和Q(t)均在除法器5中做除法运算(公式(3)),然后在反正切运算器6中对包含目标振动信息的正切函数做解调(对应f(δ)),得到包含目标振动特性的相位信息,该相位信息再利用相位解缠模块7(即利用相位解缠算法)使得相位信息连续,连续相位信息进入带通滤波器8后即可得到目标位移信息,目标位移信息在微分器9中经过一次微分运算即可得到目标速度信息,经过二次微分运算即可得到目标加速度信息。The target vibration information includes target displacement information, target velocity information and target acceleration information. As shown in FIG3 , the inverse tangent demodulation process is shown: the I&Q two-way baseband signal is passed through the corresponding low-pass filter to obtain I(t) and Q(t) of formula (2), I(t) and Q(t) are divided in the divider 5 (formula (3)), and then the tangent function containing the target vibration information is demodulated in the inverse tangent operator 6 (corresponding to f(δ)) to obtain the phase information containing the target vibration characteristics, and the phase information is then made continuous by the phase unwrapping module 7 (i.e., by the phase unwrapping algorithm), and the continuous phase information enters the bandpass filter 8 to obtain the target displacement information, and the target displacement information is subjected to a first differential operation in the differentiator 9 to obtain the target velocity information, and the target acceleration information is obtained after a second differential operation.

激光多普勒超高频微振动测量技术利用本振光和信号光的相干叠加使得高频光波信号转换为中频信号,再通过载波信号的调制解调技术将中频信号转换为基带信号,从而实现微振动目标引起的多普勒频移的测量,并恢复探测目标的振动特性。其中载波信号的稳定性是决定微振动目标特性的重要因素,载波信号的稳定性包括幅值稳定性和频率稳定性。本发明中的技术方案将载波不稳定性引起的幅值和频率偏差进行量化,对幅值和频率偏差引起的相位误差进行量化补偿,减小两路载波调制不均对解调精度的影响。Laser Doppler ultra-high frequency micro-vibration measurement technology utilizes the coherent superposition of local oscillator light and signal light to convert high-frequency light wave signals into intermediate frequency signals, and then converts the intermediate frequency signals into baseband signals through the modulation and demodulation technology of the carrier signal, thereby realizing the measurement of the Doppler frequency shift caused by the micro-vibration target and restoring the vibration characteristics of the detection target. Among them, the stability of the carrier signal is an important factor in determining the characteristics of the micro-vibration target, and the stability of the carrier signal includes amplitude stability and frequency stability. The technical solution in the present invention quantifies the amplitude and frequency deviations caused by carrier instability, and quantizes and compensates for the phase errors caused by amplitude and frequency deviations, thereby reducing the influence of uneven modulation of the two carriers on the demodulation accuracy.

由于激光超高频测振系统中载波频率的不稳定性,往往需要通过相位补偿来提高振动信息的解调精度。本发明通过建立反正切相位补偿算法,引入相位误差补偿因子,在包含目标振动信息的解调输出相位进行定量补偿,对基带信号幅值和相位偏差造成的解调精度下降进行精确补偿,该补偿算法可以提高目标振动信息的解调精度。本发明直接通过载波信号的幅值和频率偏差,计算出相位误差补偿因子的数值,并对目标振动引起的相位进行精确补偿,该相位是通过目标振动引起的多普勒移频解调获得,因此可对目标振动信息进行精确提取。Due to the instability of the carrier frequency in the laser ultra-high frequency vibrometer system, phase compensation is often required to improve the demodulation accuracy of the vibration information. The present invention establishes an inverse tangent phase compensation algorithm, introduces a phase error compensation factor, and quantitatively compensates for the demodulation output phase containing the target vibration information, and accurately compensates for the decrease in demodulation accuracy caused by the baseband signal amplitude and phase deviation. The compensation algorithm can improve the demodulation accuracy of the target vibration information. The present invention directly calculates the value of the phase error compensation factor through the amplitude and frequency deviation of the carrier signal, and accurately compensates for the phase caused by the target vibration. The phase is obtained by demodulating the Doppler shift frequency caused by the target vibration, so the target vibration information can be accurately extracted.

另外,在本发明中如涉及“第一”、“第二”等的描述仅用于描述目的,而不能理解为指示或暗示其相对重要性或者隐含指明所指示的技术特征的数量。由此,限定有“第一”、“第二”的特征可以明示或者隐含地包括至少一个该特征。另外,各个实施例之间的技术方案可以相互结合,但是必须是以本领域普通技术人员能够实现为基础,当技术方案的结合出现相互矛盾或无法实现时应当认为这种技术方案的结合不存在,也不在本发明要求的保护范围之内。In addition, in the present invention, descriptions such as "first", "second", etc. are only used for descriptive purposes and cannot be understood as indicating or implying their relative importance or implicitly indicating the number of the indicated technical features. Therefore, the features defined as "first" and "second" may explicitly or implicitly include at least one of the features. In addition, the technical solutions between the various embodiments can be combined with each other, but they must be based on the ability of ordinary technicians in the field to implement them. When the combination of technical solutions is contradictory or cannot be implemented, it should be deemed that such a combination of technical solutions does not exist and is not within the scope of protection required by the present invention.

以上所述仅是本发明的优选实施方式,应当指出,对于本技术领域的普通技术人员来说,在不脱离本发明原理的前提下,还可以做出若干改进和润饰,这些改进和润饰也应视为本发明的保护范围。The above is only a preferred embodiment of the present invention. It should be pointed out that for ordinary technicians in this technical field, several improvements and modifications can be made without departing from the principle of the present invention. These improvements and modifications should also be regarded as the scope of protection of the present invention.

Claims (6)

1.一种超高频目标振动特征提取方法,其特征在于,包括:1. A method for extracting ultra-high frequency target vibration features, comprising: 步骤一、根据基带信号的同相载波信号I和基带信号的正交载波信号Q之间的幅值偏差ΔU、I与理想载波信号频率之间的偏差fei、以及Q与理想载波信号频率之间的偏差feq,计算得到相位误差增益因子δ;Step 1: Calculate the phase error gain factor δ according to the amplitude deviation ΔU between the in-phase carrier signal I of the baseband signal and the orthogonal carrier signal Q of the baseband signal, the deviation fei between I and the ideal carrier signal frequency, and the deviation feq between Q and the ideal carrier signal frequency; 步骤二、利用包含δ的目标振动信息补偿算法模型得到目标振动信息。Step 2: Utilize the target vibration information compensation algorithm model including δ to obtain the target vibration information. 2.如权利要求1所述的一种超高频目标振动特征提取方法,其特征在于,所述目标振动信息补偿算法模型为:2. A method for extracting ultra-high frequency target vibration features according to claim 1, characterized in that the target vibration information compensation algorithm model is:
Figure FDA0004143161820000011
Figure FDA0004143161820000011
其中,
Figure FDA0004143161820000012
表示相位值,
Figure FDA0004143161820000013
表示包含目标位移信息s(t)的相位信息,
Figure FDA0004143161820000014
为延迟相位,λ表示测量光的波长,o(·)表示高阶无穷小。
in,
Figure FDA0004143161820000012
represents the phase value,
Figure FDA0004143161820000013
represents the phase information containing the target displacement information s(t),
Figure FDA0004143161820000014
is the delayed phase, λ is the wavelength of the measured light, and o(·) represents a high-order infinitesimal.
3.如权利要求2所述的一种超高频目标振动特征提取方法,其特征在于,所述I和Q表示为:3. A method for extracting ultra-high frequency target vibration characteristics as claimed in claim 2, characterized in that the I and Q are expressed as:
Figure FDA0004143161820000015
Figure FDA0004143161820000015
其中,ui(t)表示基带信号的同相载波信号的幅值,uq(t)表示基带信号的正交载波信号的幅值,U表示理想载波信号的幅值,ΔU表示同相载波信号和正交载波信号的幅值偏差,fei表示同相载波信号与理想载波信号频率之间的偏差,feq表示正交载波信号与理想载波信号频率之间的偏差,t表示时间,fc表示理想载波信号频率。Among them, ui (t) represents the amplitude of the in-phase carrier signal of the baseband signal, uq (t) represents the amplitude of the orthogonal carrier signal of the baseband signal, U represents the amplitude of the ideal carrier signal, ΔU represents the amplitude deviation between the in-phase carrier signal and the orthogonal carrier signal, fei represents the deviation between the in-phase carrier signal and the ideal carrier signal frequency, feq represents the deviation between the orthogonal carrier signal and the ideal carrier signal frequency, t represents time, and fc represents the ideal carrier signal frequency.
4.如权利要求3所述的一种超高频目标振动特征提取方法,其特征在于,所述目标振动信息补偿算法模型的获得方法为:4. The method for extracting ultra-high frequency target vibration features according to claim 3, wherein the target vibration information compensation algorithm model is obtained by: 让光电流信号分别与I和Q做混频,并混频后通过低通滤波器,保留包含目标振动信息的差频分量,去除包含高频噪声的和频分量,得到The photocurrent signal is mixed with I and Q respectively, and after mixing, it passes through a low-pass filter to retain the difference frequency component containing the target vibration information and remove the sum frequency component containing high-frequency noise to obtain
Figure FDA0004143161820000021
Figure FDA0004143161820000021
其中,I(t)表示基带信号的同相载波信号,Q(t)表示基带信号的正交载波信号,Δi(t)表示光电流信号,hLPF表示低通滤波器的低通滤波器的传递函数,K表示光电转换参数,Pm和Pr分别表示测量光和本振光的功率;Wherein, I(t) represents the in-phase carrier signal of the baseband signal, Q(t) represents the orthogonal carrier signal of the baseband signal, Δi(t) represents the photocurrent signal, h LPF represents the transfer function of the low-pass filter, K represents the photoelectric conversion parameter, P m and P r represent the power of the measurement light and the local oscillator light respectively; 根据公式(2)推导
Figure FDA0004143161820000022
According to formula (2),
Figure FDA0004143161820000022
Figure FDA0004143161820000023
Figure FDA0004143161820000023
定义包含相位信息和偏差信息的相位误差增益因子δ为The phase error gain factor δ, which includes phase information and deviation information, is defined as
Figure FDA0004143161820000024
Figure FDA0004143161820000024
将同相载波信号和正交载波信号的不稳定引起的相位偏差
Figure FDA0004143161820000026
表示为δ的表达式,
The phase deviation caused by the instability of the in-phase carrier signal and the orthogonal carrier signal
Figure FDA0004143161820000026
Expressed as an expression for δ,
Figure FDA0004143161820000025
Figure FDA0004143161820000025
利用泰勒级数展开式对f(δ)进行泰勒展开,进而得到所述目标振动信息补偿算法模型。The Taylor series expansion is used to perform Taylor expansion on f(δ), thereby obtaining the target vibration information compensation algorithm model.
5.如权利要求1所述的一种超高频目标振动特征提取方法,其特征在于,所述目标振动信息包括目标位移信息、目标速度信息和目标加速度信息。5. A method for extracting ultra-high frequency target vibration features as described in claim 1, characterized in that the target vibration information includes target displacement information, target velocity information and target acceleration information. 6.如权利要求1所述的一种超高频目标振动特征提取方法,其特征在于,所述目标位移信息为连续相位信息经过带通滤波器滤波得到,所述目标速度信息为目标位移信息在微分器中经过一次微分运算得到,所述目标加速度信息为目标位移信息在微分器中经过二次微分运算得到。6. A method for extracting ultra-high frequency target vibration features as described in claim 1, characterized in that the target displacement information is continuous phase information obtained by filtering with a bandpass filter, the target velocity information is target displacement information obtained by a first differential operation in a differentiator, and the target acceleration information is target displacement information obtained by a second differential operation in a differentiator.
CN202310296072.4A 2023-03-24 2023-03-24 A Method for Extracting Vibration Feature of UHF Target Pending CN116147754A (en)

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