CN109633759B - Ground magnetic resonance signal rapid extraction device and method based on phase-locked amplification technology - Google Patents
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Abstract
本发明涉及核磁共振地下水探测技术领域,具体地来讲为一种基于锁相放大技术的地面磁共振信号快速提取装置及方法,包括:接收线圈,感应地下水产生的磁共振信号;带宽200Hz中心频率可调带通滤波器,通过主控模块调节中心频率为拉莫尔频率,并接收磁共振信号;主控模块控制信号发生器产生一个具有拉莫尔频率的余弦信号,该信号作为参考信号与带宽200Hz中心频率可调带通滤波器的输出信号通过同相通道实现频率搬迁;主控模块控制信号发生器产生一个具有拉莫尔频率的余弦信号,再经过90°移相器转换为正弦信号,该信号作为参考信号与带宽200Hz中心频率可调带通滤波器的输出信号通过正交通道实现频率搬迁;可实现快速提取。
The invention relates to the technical field of nuclear magnetic resonance groundwater detection, in particular to a device and method for rapidly extracting ground magnetic resonance signals based on phase-lock amplification technology, comprising: a receiving coil for inducing magnetic resonance signals generated by groundwater; a bandwidth of 200 Hz center frequency Adjustable band-pass filter, the center frequency is adjusted to the Larmor frequency through the main control module, and the magnetic resonance signal is received; the main control module controls the signal generator to generate a cosine signal with the Larmor frequency, which is used as a reference signal and The output signal of the bandwidth 200Hz center frequency adjustable band-pass filter realizes frequency relocation through the in-phase channel; the main control module controls the signal generator to generate a cosine signal with Larmor frequency, and then converts it into a sine signal through a 90° phase shifter. The signal is used as the reference signal and the output signal of the bandwidth 200Hz center frequency adjustable band-pass filter realizes frequency relocation through the quadrature channel, which can realize fast extraction.
Description
技术领域technical field
本发明涉及核磁共振地下水探测技术领域,具体地来讲为一种基于锁相放大技术的地面磁共振信号快速提取装置及方法。The invention relates to the technical field of nuclear magnetic resonance groundwater detection, in particular to a device and method for rapidly extracting ground magnetic resonance signals based on phase-lock amplification technology.
背景技术Background technique
地面磁共振技术能够直接探测地下水,且具有定性定量探测的优点。然而地面磁共振信号极其微弱,只有纳伏级,易受噪声干扰,信噪比较低。尤其是在人为噪声干扰严重的区域,会出现放大器饱和、无法提取出有效信号的问题。Ground magnetic resonance technology can directly detect groundwater, and has the advantages of qualitative and quantitative detection. However, the ground magnetic resonance signal is extremely weak, only at the nanovolt level, which is susceptible to noise interference and has a low signal-to-noise ratio. Especially in areas with severe human noise interference, the problem of amplifier saturation and inability to extract valid signals occurs.
CN102053280A公开的“带有参考线圈的核磁共振地下水探测系统及探测方法”,但该方法只能消除具有相关性的工频谐波噪声,而且消噪效果受两个线圈的结构、铺设位置和噪声突变性影响很大。CN102053280A discloses the "nuclear magnetic resonance groundwater detection system and detection method with reference coil", but this method can only eliminate the relevant power frequency harmonic noise, and the noise cancellation effect is affected by the structure, laying position and noise of the two coils. Mutagenicity has a big impact.
CN104614778A公开的“一种基于ICA的核磁共振地下水探测信号噪声消除方法”,该方法利用ICA算法削弱随机噪声。但在实际噪声环境中,难以实现对有色噪声的可靠压制。CN104614778A discloses "An ICA-based Noise Removal Method for Nuclear Magnetic Resonance Groundwater Detection Signals", which uses the ICA algorithm to weaken random noise. However, in the actual noise environment, it is difficult to achieve reliable suppression of colored noise.
CN108254794A公开的“一种基于建模反恢复技术的磁共振消噪方法”,该方法利用极窄的低通滤波压制噪声,通过后期拉普拉斯和求导变换恢复原始信号。但由于该方法在软件上实现,无法抑制采集装置放大器饱和的问题,且数据运算复杂难以在片上嵌入式系统实现信号的快速提取。CN108254794A discloses "a magnetic resonance denoising method based on modeling inverse recovery technology", which uses extremely narrow low-pass filtering to suppress noise, and restores the original signal through post-Laplace and derivative transformation. However, because the method is implemented in software, the problem of saturation of the amplifier of the acquisition device cannot be suppressed, and the data operation is complicated and it is difficult to realize rapid signal extraction in the on-chip embedded system.
目前,传统检测核磁共振信号的消噪算法多是针对单一噪声进行消噪处理,无法有效应对实际工作的复杂环境噪声。另外,上述三种方法都无法抑制采集装置放大器饱和的问题,且都是后续软件消噪,无法实时现场提取信号。因此,研究具有抗饱和功能,又能在野外工作现场快速提取出地面磁共振信号的新技术具有重要意义。At present, the traditional de-noising algorithms for detecting NMR signals mostly de-noise for a single noise, which cannot effectively deal with the complex environmental noise in practical work. In addition, none of the above three methods can suppress the problem of saturation of the amplifier of the acquisition device, and they are all subsequent software denoising, which cannot extract signals on the spot in real time. Therefore, it is of great significance to study a new technology that has anti-saturation function and can quickly extract ground magnetic resonance signals in field work sites.
发明内容SUMMARY OF THE INVENTION
本发明所要解决的技术问题在于一方面提供一种基于锁相放大技术的地面磁共振信号快速提取装置,另一方面提供一种基于锁相放大技术的地面磁共振信号快速提取方法。The technical problem to be solved by the present invention is to provide a fast extraction device for ground magnetic resonance signals based on lock-in amplification technology on the one hand, and a method for fast extraction of ground magnetic resonance signals based on lock-in amplification technology on the other hand.
本发明是这样实现的,一种基于锁相放大技术的地面磁共振信号快速提取装置,该装置包括:接收线圈、带宽200Hz中心频率可调带通滤波器、信号发生器、90°移相器、同相通道、正交通道以及主控模块;The present invention is realized in this way, a ground magnetic resonance signal fast extraction device based on phase-lock amplification technology, the device includes: a receiving coil, a bandwidth 200Hz center frequency adjustable band-pass filter, a signal generator, and a 90° phase shifter , in-phase channel, quadrature channel and main control module;
所述接收线圈,感应地下水产生的磁共振信号;the receiving coil senses the magnetic resonance signal generated by the groundwater;
所述带宽200Hz中心频率可调带通滤波器,通过主控模块调节中心频率为拉莫尔频率,并接收磁共振信号;The center frequency adjustable band-pass filter with a bandwidth of 200Hz is adjusted to the Larmor frequency through the main control module, and the magnetic resonance signal is received;
所述主控模块控制信号发生器产生一个具有拉莫尔频率的余弦信号,该信号作为参考信号与带宽200Hz中心频率可调带通滤波器的输出信号通过同相通道实现频率搬迁;The main control module controls the signal generator to generate a cosine signal with a Larmor frequency, and the signal is used as a reference signal and the output signal of the bandwidth 200Hz center frequency adjustable band-pass filter to achieve frequency relocation through the in-phase channel;
所述主控模块控制信号发生器产生一个具有拉莫尔频率的余弦信号,再经过90°移相器转换为正弦信号,该信号作为参考信号与带宽200Hz中心频率可调带通滤波器的输出信号通过正交通道实现频率搬迁;The main control module controls the signal generator to generate a cosine signal with a Larmor frequency, which is then converted into a sine signal through a 90° phase shifter, which is used as a reference signal and the output of a 200Hz center frequency adjustable bandpass filter The signal realizes frequency relocation through the quadrature channel;
所述主控模块采集同相通道和正交通道的信号,提取地面磁共振信号。The main control module collects the signals of the in-phase channel and the quadrature channel, and extracts the ground magnetic resonance signal.
进一步地,还包括:LC匹配网络以及前置放大器,所述LC匹配网络接收接收线圈的磁共振信号,实现谐振以提高信号幅度,并压制噪声干扰;Further, it also includes: an LC matching network and a preamplifier, the LC matching network receives the magnetic resonance signal of the receiving coil, and realizes resonance to increase the signal amplitude and suppress noise interference;
所述前置放大器对经由LC匹配网络信号进行第一次放大,并把放大后的信号传递到带宽200Hz中心频率可调带通滤波器。The preamplifier amplifies the signal via the LC matching network for the first time, and transmits the amplified signal to a band-pass filter with a bandwidth of 200Hz that can be adjusted at the center frequency.
进一步地,所述同相通道包括第一乘法器和第一低通滤波器组成正交矢量型锁相放大器以及同相二级放大器,接收带宽200Hz中心频率可调带通滤波器,同时与所述信号发生器连接,拉莫尔频率的余弦信号与带宽200Hz中心频率可调带通滤波器的输出信号通过第一乘法器实现频率搬迁,再经过第一低通滤波器消除高频分量和大部分噪声,通过所述同相二级放大器进一步放大。Further, the in-phase channel includes a first multiplier and a first low-pass filter to form a quadrature vector type lock-in amplifier and an in-phase two-stage amplifier, the receiving bandwidth is 200Hz center frequency adjustable band-pass filter, and the signal is The generator is connected, the cosine signal of the Larmor frequency and the output signal of the adjustable band-pass filter with the center frequency of 200Hz pass through the first multiplier to achieve frequency relocation, and then pass through the first low-pass filter to eliminate high-frequency components and most of the noise , which is further amplified by the non-inverting secondary amplifier.
进一步地,所述正交通道包括第二乘法器和第二低通滤波器组成正交矢量型锁相放大器以及正交二级放大器,具有拉莫尔频率的余弦信号,经过90°移相器转换为正弦信号,该信号作为参考信号与带宽200Hz中心频率可调带通滤波器的输出信号通过第二乘法器实现频率搬迁,再经过第二低通滤波器消除高频分量和大部分噪声,通过正交二级放大器进一步放大。Further, the quadrature channel includes a second multiplier and a second low-pass filter to form a quadrature vector type lock-in amplifier and a quadrature second-stage amplifier, and a cosine signal with a Larmor frequency is passed through a 90° phase shifter. Converted to a sine signal, this signal is used as a reference signal and the output signal of a bandwidth 200Hz center frequency adjustable band-pass filter through the second multiplier to achieve frequency relocation, and then through the second low-pass filter to eliminate high-frequency components and most of the noise, It is further amplified by quadrature secondary amplifiers.
进一步地,还包括A/D采集卡,所述主控模块控制A/D采集卡获取同相通道的信号,采集到同相通道的原始数据;控制A/D采集卡获取通道的信号,采集到正交通道的原始数据。Further, it also includes an A/D acquisition card, the main control module controls the A/D acquisition card to acquire the signal of the in-phase channel, and acquires the original data of the in-phase channel; controls the A/D acquisition card to acquire the signal of the channel, and acquires the positive signal. Raw data of traffic lanes.
进一步地,所述第一低通滤波器和所述第二低通滤波器均采用截止频率为20Hz的一阶低通滤波器。Further, both the first low-pass filter and the second low-pass filter are first-order low-pass filters with a cutoff frequency of 20 Hz.
进一步地,所述第二低通滤波器均采用截止频率为20Hz的一阶低通滤波器。Further, the second low-pass filters are first-order low-pass filters with a cutoff frequency of 20 Hz.
一种基于锁相放大技术的地面磁共振信号快速提取方法,所述方法包括:A method for rapidly extracting ground magnetic resonance signals based on lock-in amplification technology, the method comprising:
通过接收线圈感应地下水产生的磁共振信号;The magnetic resonance signal generated by the groundwater is induced by the receiving coil;
磁共振信号经由带宽200Hz中心频率可调带通滤波器,所述中心频率为拉莫尔频率;The magnetic resonance signal is passed through a tunable bandpass filter with a bandwidth of 200Hz center frequency, and the center frequency is the Larmor frequency;
产生一个具有拉莫尔频率的余弦信号,该信号作为参考信号与带宽200Hz中心频率可调带通滤波器的输出信号通过同相通道实现频率搬迁;Generate a cosine signal with a Larmor frequency, which is used as a reference signal and the output signal of a 200Hz center frequency adjustable bandpass filter with a bandwidth of 200Hz to achieve frequency relocation through the in-phase channel;
产生一个具有拉莫尔频率的余弦信号,再经过90°移相转换为正弦信号,该信号作为参考信号与带宽200Hz中心频率可调带通滤波器的输出信号通过正交通道实现频率搬迁;Generate a cosine signal with Larmor frequency, and then convert it into a sine signal through a 90° phase shift. This signal is used as a reference signal and the output signal of a bandwidth 200Hz center frequency adjustable band-pass filter to achieve frequency relocation through a quadrature channel;
采集同相通道和正交通道的信号,提取地面磁共振信号。The signals of the in-phase channel and the quadrature channel are collected, and the ground magnetic resonance signal is extracted.
进一步地,同相通道的原始数据公式表示为Further, the original data formula of the in-phase channel is expressed as
当采集时间大于10ms时,exp(-t/T2*)>>exp(-ωct),采集的同相通道的原始数据公式化简为When the acquisition time is greater than 10ms, exp(-t/T 2 *)>>exp(-ω c t), the original data formula of the collected in-phase channel is simplified as
对上式求对数,得到直线方程Take the logarithm of the above formula to get the equation of the straight line
通过直线方程斜率k求取T2*=-1/k,再通过直线方程的纵截距I(0)获得二元一次方程:T 2 *=-1/k is obtained from the slope k of the straight line equation, and then the binary linear equation is obtained by the vertical intercept I(0) of the straight line equation:
同理,得到的正交通道的一个二元一次方程:In the same way, a binary linear equation of the orthogonal channel is obtained:
Q(0)是正交通道求对数后的直线方程的纵截距,联立公式(4)和(5)建立方程组,求取初始振幅E0和相位θ。Q(0) is the vertical intercept of the straight line equation after the logarithm of the quadrature channel. The equations (4) and (5) are simultaneously established to obtain the initial amplitude E 0 and phase θ.
本发明与现有技术相比,有益效果在于:Compared with the prior art, the present invention has the following beneficial effects:
(1)本发明提供的的基于锁相放大技术的地面磁共振信号快速提取装置及方法,通过正交通道与同相通道获取的数据经过低运算量可实现实时现场提取信号。(1) The device and method for rapidly extracting ground magnetic resonance signals based on the lock-in amplification technology provided by the present invention can realize real-time on-site signal extraction with low computational complexity through the data acquired through the quadrature channel and the in-phase channel.
(2)本发明提供的基于锁相放大技术的地面磁共振信号快速提取装置采用LC匹配网络提高检测灵敏度的同时,有效解决了前置放大器饱和的问题;(2) The device for rapidly extracting ground magnetic resonance signals based on the lock-in amplification technology provided by the present invention adopts the LC matching network to improve the detection sensitivity, and at the same time effectively solves the problem of preamplifier saturation;
(3)本发明提供的基于锁相放大技术的地面磁共振信号快速提取装置,采用多级硬件滤波,尤其是基于低截止频率的第一和第二低通滤波器可以有效抑制二级放大器饱和,且能够实现二级放大器的充分放大,而不必采用高转换位数的A/D采集卡,降低了成本;(3) The device for rapidly extracting ground magnetic resonance signals based on the lock-in amplification technology provided by the present invention adopts multi-stage hardware filtering, especially the first and second low-pass filters based on low cut-off frequencies can effectively suppress the saturation of the secondary amplifier , and can realize the full amplification of the secondary amplifier, without using the A/D capture card with high conversion bits, which reduces the cost;
本发明的附加方面和优点将在下面的描述中变得明显,或通过本发明的实践了解到。Additional aspects and advantages of the present invention will become apparent from the following description, or learned by practice of the present invention.
附图说明Description of drawings
图1为本发明实施例提供的基于锁相放大技术的地面磁共振信号快速提取装置;1 is a device for rapidly extracting ground magnetic resonance signals based on a lock-in amplification technology according to an embodiment of the present invention;
图2为本发明的主控模块的示意图。FIG. 2 is a schematic diagram of a main control module of the present invention.
图3为本发明的LC匹配网络的电路图。FIG. 3 is a circuit diagram of the LC matching network of the present invention.
图4为本发明一实施例测试装置。FIG. 4 is a test device according to an embodiment of the present invention.
具体实施方式Detailed ways
为了使本发明的目的、技术方案及优点更加清楚明白,以下结合实施例,对本发明进行进一步详细说明。应当理解,此处所描述的具体实施例仅仅用以解释本发明,并不用于限定本发明。In order to make the objectives, technical solutions and advantages of the present invention clearer, the present invention will be further described in detail below with reference to the embodiments. It should be understood that the specific embodiments described herein are only used to explain the present invention, but not to limit the present invention.
参见图1示出了本发明的一种基于锁相放大技术的地面磁共振信号快速提取装置的示意框图;一种基于锁相放大技术的地面磁共振信号快速提取装置,该装置包括:接收线圈,LC匹配网络,前置放大器,带宽200Hz中心频率可调带通滤波器,信号发生器,90°移相器,第一乘法器,第二乘法器,第一低通滤波器,第二低通滤波器,同相二级放大器,正交二级放大器,A/D采集卡,主控模块。1 shows a schematic block diagram of a device for rapidly extracting ground magnetic resonance signals based on lock-in amplification technology according to the present invention; a device for rapidly extracting ground magnetic resonance signals based on lock-in amplification technology, the device includes: a receiving coil , LC matching network, preamplifier, bandwidth 200Hz center frequency adjustable bandpass filter, signal generator, 90° phase shifter, first multiplier, second multiplier, first low pass filter, second low Pass filter, non-inverting secondary amplifier, quadrature secondary amplifier, A/D acquisition card, main control module.
参见图2示出了本发明的主控模块的示意框图;主控模块包括DSP模块,FPGA模块,按键,显示器。2 shows a schematic block diagram of the main control module of the present invention; the main control module includes a DSP module, an FPGA module, a key, and a display.
其中,在连接关系上接收线圈1经LC匹配网络2与前置放大器3连接,前置放大器3经带宽200Hz中心频率可调带通滤波器4分别与第一乘法器7和第二乘法器8连接,第一乘法器7经第一低通滤波器9与同相二级放大器11连接,第二乘法器8经第二低通滤波器10与正交二级放大器12连接,同相二级放大器11和正交二级放大器12分别与A/D采集卡13连接,A/D采集卡13经主控模块14分别与信号发生器5和宽200Hz中心频率可调带通滤波器4连接,信号发生器5分别与第一乘法器7和90°移相器6连接,90°移相器6与第二乘法器8连接,DSP模块15分别与FPGA模块16,按键17和显示器18连接。Among them, the receiving coil 1 is connected to the preamplifier 3 through the LC matching network 2 in the connection relationship, and the preamplifier 3 is connected to the first multiplier 7 and the second multiplier 8 respectively through the bandwidth 200Hz center frequency adjustable bandpass filter 4. The first multiplier 7 is connected to the in-phase second-stage amplifier 11 through the first low-pass filter 9, the second multiplier 8 is connected to the quadrature second-stage amplifier 12 through the second low-pass filter 10, and the in-phase second-stage amplifier 11 and the quadrature secondary amplifier 12 are respectively connected with the A/D acquisition card 13, and the A/D acquisition card 13 is respectively connected with the signal generator 5 and the wide 200Hz center frequency adjustable bandpass filter 4 through the main control module 14, and the signal generation The multiplier 5 is connected to the first multiplier 7 and the 90° phase shifter 6 respectively, the 90° phase shifter 6 is connected to the second multiplier 8 , the
接收线圈1,感应地下水产生的磁共振信号,并把该信号传送到LC匹配网络2;The receiving coil 1 senses the magnetic resonance signal generated by the groundwater, and transmits the signal to the LC matching network 2;
参见图3示出了本发明的LC匹配网络的电路图,所述LC匹配网络2由匹配电容C和LC无源滤波器构成,LC无源滤波器是由L1、C1、L2、C2、L3、C3构成的3阶Π型滤波器,匹配电容与接收线圈实现谐振以提高信号幅度,LC无源滤波器压制噪声干扰以防止前置放大器3饱和;3 shows a circuit diagram of the LC matching network of the present invention, the LC matching network 2 is composed of a matching capacitor C and an LC passive filter, and the LC passive filter is composed of L1, C1, L2, C2, L3, The 3rd-order Π-type filter composed of C3, the matching capacitor and the receiving coil realize resonance to improve the signal amplitude, and the LC passive filter suppresses noise interference to prevent the saturation of the preamplifier 3;
所述的前置放大器3对信号进行第一次放大,并把放大后的信号传递到带宽200Hz中心频率可调带通滤波器4;The preamplifier 3 amplifies the signal for the first time, and transmits the amplified signal to the adjustable bandpass filter 4 with a bandwidth of 200Hz center frequency;
所述的带宽200Hz中心频率可调带通滤波器4是一个中心频率可调、带宽为200Hz的带通滤波器,中心频率受主控模块14调节,调节为拉莫尔频率,200Hz的带宽确保可以不失真的获取地面磁共振信号,进一步压制噪声;The bandwidth 200Hz center frequency adjustable bandpass filter 4 is a bandpass filter with an adjustable center frequency and a bandwidth of 200Hz. The center frequency is adjusted by the main control module 14 and adjusted to the Larmor frequency, and the bandwidth of 200Hz is guaranteed. The ground magnetic resonance signal can be obtained without distortion, and the noise can be further suppressed;
所述的第一乘法器7和第一低通滤波器9组成正交矢量型锁相放大器的同相通道,主控模块14通过控制信号发生器5产生一个具有拉莫尔频率的余弦信号,该信号作为参考信号与带宽200Hz中心频率可调带通滤波器4的输出信号通过第一乘法器实现频率搬迁,再经过第一低通滤波器9消噪高频分量和大部分噪声,最后,主控模块控制A/D采集卡13获取同相二级放大器11进一步放大后的信号,采集到同相通道的原始数据;The first multiplier 7 and the first low-pass filter 9 form the in-phase channel of the quadrature vector type lock-in amplifier, and the main control module 14 generates a cosine signal with a Larmor frequency through the control signal generator 5. The signal is used as a reference signal and the output signal of the bandwidth 200Hz center frequency adjustable band-pass filter 4 realizes frequency relocation through the first multiplier, and then passes through the first low-pass filter 9 to eliminate high-frequency components and most of the noise. Finally, the main The control module controls the A/D acquisition card 13 to obtain the signal further amplified by the in-phase secondary amplifier 11, and collects the original data of the in-phase channel;
所述的第二乘法器8和第二低通滤波器10组成正交矢量型锁相放大器的正交通道,主控模块14通过控制信号发生器5产生一个具有拉莫尔频率的余弦信号,再经过90°移相器6转换为正弦信号,该信号作为参考信号与带宽200Hz中心频率可调带通滤波器4的输出信号通过第二乘法器8实现频率搬迁,再经过第二低通滤波器10消噪高频分量和大部分噪声,最后,主控模块控制A/D采集卡13获取正交二级放大器12进一步放大后的信号,采集到正交通道的原始数据;The second multiplier 8 and the second low-pass filter 10 form the quadrature channel of the quadrature vector type lock-in amplifier, and the main control module 14 generates a cosine signal with a Larmor frequency by controlling the signal generator 5, Then, it is converted into a sinusoidal signal through a 90° phase shifter 6, which is used as a reference signal and the output signal of the bandwidth 200Hz center frequency adjustable bandpass filter 4 to achieve frequency relocation through the second multiplier 8, and then pass through the second low-pass filter. The device 10 de-noises high-frequency components and most of the noise, and finally, the main control module controls the A/D acquisition card 13 to obtain the signal further amplified by the quadrature secondary amplifier 12, and collects the original data of the quadrature channel;
第一低通滤波器9和第二低通滤波器10均采用截止频率为20Hz的一阶低通滤波器,由于通带范围较小,频带外的噪声和信号都被有效滤除,有效解决了二级放大器饱和的问题,且经过低通滤波器输出的信号主要由地面磁共振信号构成,可以经过二级放大器进一步放大到低转换位数A/D能够识别的范围,进一步降低了装置成本。The first low-pass filter 9 and the second low-pass filter 10 both use first-order low-pass filters with a cut-off frequency of 20 Hz. Due to the small pass-band range, the noise and signals outside the frequency band are effectively filtered out, effectively solving the problem. The problem of saturation of the secondary amplifier is solved, and the signal output by the low-pass filter is mainly composed of ground magnetic resonance signals, which can be further amplified by the secondary amplifier to the range that can be recognized by the low conversion bit A/D, which further reduces the cost of the device. .
主控模块14由DSP模块15、FPGA模块16、按键17和显示器18构成,通过按键17和显示器18实现人机交互,除了完成上述调控工作外,一种基于锁相放大技术的地面磁共振信号快速提取方法在主控模块14上实现的,实时对采集的同相通道的原始数据和正交通道的原始数据进行处理以快速提取信号,并把提取的信号显示在显示器18上。The main control module 14 is composed of a
一种基于锁相放大技术的地面磁共振信号快速提取方法,所述方法包括:A method for rapidly extracting ground magnetic resonance signals based on lock-in amplification technology, the method comprising:
通过接收线圈感应地下水产生的磁共振信号;The magnetic resonance signal generated by the groundwater is induced by the receiving coil;
磁共振信号经由带宽200Hz中心频率可调带通滤波器,所述中心频率为拉莫尔频率;The magnetic resonance signal is passed through a tunable bandpass filter with a bandwidth of 200Hz center frequency, and the center frequency is the Larmor frequency;
产生一个具有拉莫尔频率的余弦信号,该信号作为参考信号与带宽200Hz中心频率可调带通滤波器的输出信号通过同相通道实现频率搬迁;Generate a cosine signal with a Larmor frequency, which is used as a reference signal and the output signal of a bandwidth 200Hz center frequency adjustable band-pass filter to achieve frequency relocation through the in-phase channel;
产生一个具有拉莫尔频率的余弦信号,再经过90°移相转换为正弦信号,该信号作为参考信号与带宽200Hz中心频率可调带通滤波器的输出信号通过正交通道实现频率搬迁;A cosine signal with a Larmor frequency is generated, and then converted into a sine signal through a 90° phase shift. This signal is used as a reference signal and the output signal of a bandwidth 200Hz center frequency adjustable band-pass filter to achieve frequency relocation through the quadrature channel;
采集同相通道和正交通道的信号,提取地面磁共振信号。The signals of the in-phase channel and the quadrature channel are collected, and the ground magnetic resonance signal is extracted.
同相通道的原始数据公式可表示为The original data formula of the non-inverting channel can be expressed as
磁共振信号的三个关键参数包括初始振幅E0、平均弛豫时间T2*和相位θ,由于磁共振信号平均弛豫时间30≤T2*≤1000ms,即1<1/T2*<33.3,且低通滤波器的截止频率为20Hz,相应的截止角频率为ωc=125.65rad/s,当采集时间大于10ms时,exp(-t/T2*)>>exp(-ωct),此时采集的同相通道的原始数据公式可化简为The three key parameters of the magnetic resonance signal include the initial amplitude E 0 , the average relaxation time T 2 * and the phase θ. Since the average relaxation time of the magnetic resonance signal is 30≤T 2 *≤1000ms, that is, 1<1/T 2 *< 33.3, and the cutoff frequency of the low-pass filter is 20Hz, the corresponding cutoff angular frequency is ω c =125.65rad/s, when the acquisition time is greater than 10ms, exp(-t/T 2 *)>>exp(-ω c t), the original data formula of the in-phase channel collected at this time can be simplified as
对上式求对数,得到直线方程Take the logarithm of the above formula to get the equation of the straight line
首先,通过直线方程斜率k可以求取T2*=-1/k,再通过直线方程的纵截距I(0)获得二元一次方程First, T 2 *=-1/k can be obtained through the slope k of the straight line equation, and then the binary linear equation can be obtained through the vertical intercept I(0) of the straight line equation
同理,也可以得到的正交通道的一个二元一次方程Similarly, a binary linear equation of the orthogonal channel can also be obtained
Q(0)是正交通道求对数后的直线方程的纵截距,联立公式(4)和(5)建立方程组,可求取E0和相位θ,即通过简单计算快速提出有效的地面磁共振信号。Q(0) is the vertical intercept of the straight line equation after the logarithm of the quadrature channel. The equations (4) and (5) are established simultaneously, and E 0 and phase θ can be obtained. Ground magnetic resonance signals.
实施例:Example:
利用如图4所示的测量装置对本发明所提出的基于锁相放大技术的地面磁共振信号快速提取装置及方法进行测试。可编程信号源通过电压衰减器在信号线圈中产生一个E0=200nV,fL=2000Hz,T2*=150ms andθ=30°的人工磁共振信号,其表达式为e(t)=200exp(-t/0.15)cos(2π×2000×t+30°),由于接收线圈与信号线圈平行放置,且采用同样匝数、线径和结构,所以在接收线圈中同样耦合了一个相同的磁共振信号,同时接收线圈耦合空间电磁噪声,控制器通过同步触发器启动可编程信号源输出信号的同时,启动本发明所提出的快速提取装置。The device and method for rapidly extracting ground magnetic resonance signals based on the lock-in amplification technology proposed by the present invention are tested by using the measuring device shown in FIG. 4 . The programmable signal source generates an artificial magnetic resonance signal with E 0 =200nV,f L =2000Hz,T 2 *=150ms and θ=30° in the signal coil through the voltage attenuator, and its expression is e(t)=200exp( -t/0.15)cos(2π×2000×t+30°), since the receiving coil is placed in parallel with the signal coil, and the same number of turns, wire diameter and structure are used, the same magnetic resonance is also coupled in the receiving coil. At the same time, the receiving coil is coupled with spatial electromagnetic noise, the controller starts the output signal of the programmable signal source through the synchronous trigger, and simultaneously starts the fast extraction device proposed by the present invention.
调节信号发生器和90°移相器输出的参考信号分别为频率为fL=2000Hz余弦信号和正弦信号,两个低通滤波器的阶数1和截止角频率ωc=125.67rad/s。现场显示提取出的磁共振信号关键参数,其结果为E0=194.65nV,T2*=152.78ms andθ=29.32°,与原始信号相比E0,T2*和θ的精度分别是97.32%,98.14%和97.73%,获取了有效信号,而且可以实时处理并显示结果。The reference signals output by the adjustment signal generator and the 90° phase shifter are cosine signal and sine signal with frequency f L =2000Hz, order 1 of two low-pass filters and cut-off angular frequency ω c =125.67rad/s. The key parameters of the extracted magnetic resonance signal are displayed on site, and the results are E 0 =194.65nV, T 2 *=152.78ms and θ=29.32°, and the accuracy of E 0 , T 2 * and θ is 97.32% compared with the original signal, respectively , 98.14% and 97.73%, effective signals are obtained, and the results can be processed and displayed in real time.
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