CN111135482B - A quasi-phase super-resolution method for respiratory motion signals on thoracic and abdominal surfaces - Google Patents
A quasi-phase super-resolution method for respiratory motion signals on thoracic and abdominal surfaces Download PDFInfo
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Abstract
本发明胸腹表面呼吸运动信号超分辨方法属于精密仪器和胸腹部放射治疗技术领域；该方法首先通过信号转换模块，将呼吸运动信号转换成周期信号，再通过相位差多输出模块，形成相位差为π/2的等相位差三输出，再通过电阻链多相位生成模块形成相位差为π/5的等相位差五输出，再通过多相位正弦方波转换模块形成方波，并通过多相位融合逻辑门模块形成准相位超分辨方波输出，即实现了将一个周期的呼吸运动信号变成多个周期的准相位方波信号，且相位相差准相位超分辨方波输出信号的零周期。
The method for super-resolution of respiratory motion signals on the thoracic and abdominal surfaces of the invention belongs to the technical field of precision instruments and thoracic and abdominal radiotherapy; the method first converts the respiratory motion signals into periodic signals through a signal conversion module, and then uses a phase difference multi-output module to form a phase difference It is three outputs with equal phase difference of π/2, and then forms five outputs with equal phase difference of π/5 through the resistance chain multi-phase generation module, and then forms a square wave through the multi-phase sine-square wave conversion module, and through the multi-phase The fusion logic gate module forms a quasi-phase super-resolution square wave output, that is, it realizes that a cycle of breathing motion signal is turned into a multi-period quasi-phase square wave signal, and the phase is different from the zero period of the quasi-phase super-resolution square wave output signal.
Description
技术领域technical field
本发明一种胸腹表面呼吸运动信号准相位超分辨方法属于精密仪器和胸腹部放射治疗技术领域。The invention relates to a quasi-phase super-resolution method for respiratory motion signals on the surface of the chest and abdomen, belonging to the technical field of precision instruments and radiation therapy of the chest and abdomen.
背景技术Background technique
在胸腹部肿瘤放射治疗过程中，呼吸使得肿瘤区域逸出靶区或正常组织进入靶区，不仅降低了放疗效果，而且容易产生并发症。In the process of radiotherapy for thoracic and abdominal tumors, breathing makes the tumor area escape from the target area or normal tissues enter the target area, which not only reduces the effect of radiotherapy, but also is prone to complications.
为了解决呼吸运动给放射治疗带来的负面影响，临床上最早采用了呼吸保持和呼吸门控等方法，通过对呼吸的干预实现肿瘤位置的控制，虽然取得了一定的效果，但是患者耐受性差；为了提高患者耐受性，不干预患者呼吸，又出现了跟踪系统，通过监测肿瘤区域实现对肿瘤位置的跟踪，然而，由于这种方法属于滞后补偿方法，因此总会出现“慢半拍”的问题；为了提高跟踪精度，学者们采用了预测手段，期初，将呼吸运动视为一个呼吸周期的简单重复，然而，由于呼吸运动本身具有无明显规律的准周期特性，因此预测精度并不高，随着时间的推移，误差会越来越大；后来，学者们根据呼吸运动的历史规律，通过拟合，形成以时间为变量的呼吸运动模型，进而对未来呼吸运动进行预测，这种方法的效果较好；本课题组的研究生樊琪和史领采用高斯过程回归方法对呼吸运动进行预测，并以均值和方差的形式给出预测结果，为呼吸运动提供了一种全新的预测手段。In order to solve the negative impact of respiratory motion on radiotherapy, methods such as respiratory maintenance and respiratory gating were first adopted in clinical practice, and the control of tumor location was achieved through respiratory intervention. Although certain results were achieved, the patient's tolerance was poor. ; In order to improve the patient's tolerance and not interfere with the patient's breathing, a tracking system has emerged, which can track the tumor location by monitoring the tumor area. However, because this method is a lag compensation method, there will always be a "half beat" In order to improve the tracking accuracy, scholars have used prediction methods. At the beginning, the breathing movement was regarded as a simple repetition of a breathing cycle. However, due to the quasi-periodic characteristics of the breathing movement itself, the prediction accuracy is not high. , with the passage of time, the error will become larger and larger; later, according to the historical law of breathing movement, scholars form a breathing movement model with time as a variable by fitting, and then predict the future breathing movement. This method The results were better; Fan Qi and Shi Ling, graduate students in our research group, used the Gaussian process regression method to predict respiratory motion, and gave the prediction results in the form of mean and variance, which provided a brand-new prediction method for respiratory motion.
对于呼吸运动的宏观特性由幅值和频率来决定，由于幅值和频率之间又存在着一定的对应关系，因此只需要准确获得呼吸频率，即可实现呼吸运动预测，然而，对于呼吸频率的预测，至少要采集一个呼吸周期，这样就给呼吸频率快速分析带来了一定的困难。如果能够对呼吸运动信号进行超分辨，就可以实现在少于一个呼吸运动周期的时间获得呼吸频率，进而快速实现对呼吸运动进行预测与分析。然而，在本领域，还没有发现对呼吸运动信号进行超分辨的技术手段。The macroscopic characteristics of the breathing motion are determined by the amplitude and the frequency. Since there is a certain correspondence between the amplitude and the frequency, it is only necessary to obtain the breathing frequency accurately to realize the prediction of the breathing motion. It is predicted that at least one respiratory cycle should be collected, which brings certain difficulties to the rapid analysis of respiratory rate. If the respiratory motion signal can be super-resolved, the respiratory rate can be obtained in less than one respiratory motion cycle, and then the prediction and analysis of the respiratory motion can be quickly realized. However, in the art, no technical means for super-resolving respiratory motion signals have been found.
发明内容SUMMARY OF THE INVENTION
为了实现对呼吸运动信号进行超分辨，本发明公开了一种胸腹表面呼吸运动信号准相位超分辨电路与方法，能够将一个周期的呼吸运动信号变成多个周期的准相位方波信号，且相位相差准相位超分辨方波输出信号的零周期；这个结果所能够带来的进一步技术优势在于，在多个呼吸周期过程中，通过判断方波信号的频率变化即可判断呼吸频率的变化，更重要的是，由于超分辨方波的周期远小于呼吸运动周期，因此能够在更短时间内，即小于一个呼吸周期的时间范围内，判断出呼吸频率的变化。In order to realize the super-resolution of the respiratory motion signal, the invention discloses a quasi-phase super-resolution circuit and method of the respiratory motion signal of the chest and abdomen surface, which can convert a period of the respiratory motion signal into a quasi-phase square wave signal of multiple periods, And the phase difference is the zero cycle of the quasi-phase super-resolution square wave output signal; the further technical advantage brought by this result is that in the process of multiple breathing cycles, the change of the breathing frequency can be judged by judging the frequency change of the square wave signal. , and more importantly, since the period of the super-resolved square wave is much smaller than the breathing motion period, the change of the breathing frequency can be determined in a shorter time, that is, within a time range of less than one breathing period.
本发明的目的是这样实现的：The object of the present invention is achieved in this way:
一种胸腹表面呼吸运动信号准相位超分辨电路，包括信号转换模块，相位差多输出模块，电阻链多相位生成模块，多相位正弦方波转换模块和多相位融合逻辑门模块；A quasi-phase super-resolution circuit for respiratory motion signals on the thoracic and abdominal surfaces, comprising a signal conversion module, a phase difference multi-output module, a resistance chain multi-phase generation module, a multi-phase sine-square wave conversion module and a multi-phase fusion logic gate module;
所述信号转换模块的输入为一个周期的呼吸运动信号f(t)，输出为：The input of the signal conversion module is a cycle of respiratory motion signal f(t), and the output is:
其中：t0为呼吸运动信号f(t)开始采集的时间；ω为呼吸运动信号f(t)的角频率；T为呼吸运动信号f(t)的周期；Among them: t 0 is the time when the respiratory motion signal f(t) starts to be collected; ω is the angular frequency of the respiratory motion signal f(t); T is the period of the respiratory motion signal f(t);
所述相位差多输出模块包括运算放大器U1-1和运算放大器U1-2，所述运算放大器U1-1的反相输入端通过电容C1-1连接信号转换模块的输出端，通过电阻R1-1连接运算放大器U1-1的输出端，运算放大器U1-1的同相输入端连接地；所述运算放大器U1-2的反相输入端通过电容C1-2连接运算放大器U1-1的输出端，通过电阻R1-2连接运算放大器U1-2的输出端，运算放大器U1-2的同相输入端连接地；信号转换模块的输出端作为所述相位差多输出模块的第一输出，运算放大器U1-1的输出端作为所述相位差多输出模块的第二输出，运算放大器U1-2的输出端作为所述相位差多输出模块的第三输出；The phase difference multi-output module includes an operational amplifier U1-1 and an operational amplifier U1-2. The inverting input end of the operational amplifier U1-1 is connected to the output end of the signal conversion module through a capacitor C1-1, and is connected to the output end of the signal conversion module through a resistor R1-1. The output terminal of the operational amplifier U1-1 is connected, and the non-inverting input terminal of the operational amplifier U1-1 is connected to the ground; the inverting input terminal of the operational amplifier U1-2 is connected to the output terminal of the operational amplifier U1-1 through the capacitor C1-2, and is connected to the output terminal of the operational amplifier U1-1 through the capacitor C1-2. The resistor R1-2 is connected to the output terminal of the operational amplifier U1-2, and the non-inverting input terminal of the operational amplifier U1-2 is connected to the ground; the output terminal of the signal conversion module is used as the first output of the phase difference multi-output module, and the operational amplifier U1-1 The output terminal of U1-2 is used as the second output of the phase difference multiple output module, and the output terminal of the operational amplifier U1-2 is used as the third output of the phase difference multiple output module;
所述电阻链多相位生成模块包括9个电阻；相位差多输出模块的第一输出和相位差多输出模块的第二输出之间分别通过电阻R2-3和电阻R2-7的串联结构连接，电阻R2-3和电阻R2-7的阻值比为8/11，通过电阻R2-5和电阻R2-9的串联结构连接，电阻R2-5和电阻R2-9的阻值比为28/9；相位差多输出模块的第二输出和相位差多输出模块的第三输出之间分别通过电阻R2-11和电阻R2-15的串联结构连接，电阻R2-11和电阻R2-15的阻值比为9/28，通过电阻R2-13和电阻R2-17的串联结构连接，电阻R2-13和电阻R2-17的阻值比为11/8；所述相位差多输出模块的第一输出经过电阻R2-1后作为第一相位输出，电阻R2-3和电阻R2-7之间的抽头作为第三相位输出，电阻R2-5和电阻R2-9之间的抽头作为第五相位输出，电阻R2-11和电阻R2-15之间的抽头作为第七相位输出，电阻R2-13和电阻R2-17之间的抽头作为第九相位输出；The resistance chain multi-phase generation module includes 9 resistors; the first output of the phase difference multi-output module and the second output of the phase difference multi-output module are respectively connected through the series structure of the resistor R2-3 and the resistor R2-7, The resistance ratio of resistor R2-3 and resistor R2-7 is 8/11, which is connected through the series structure of resistor R2-5 and resistor R2-9, and the resistance ratio of resistor R2-5 and resistor R2-9 is 28/9 ; The second output of the phase-difference multi-output module and the third output of the phase-difference multi-output module are respectively connected through the series structure of the resistor R2-11 and the resistor R2-15, and the resistance value of the resistor R2-11 and the resistor R2-15 The ratio is 9/28, which is connected through the series structure of the resistor R2-13 and the resistor R2-17, and the resistance ratio of the resistor R2-13 and the resistor R2-17 is 11/8; the first output of the phase difference multi-output module After passing through the resistor R2-1, the output is the first phase, the tap between the resistor R2-3 and the resistor R2-7 is the third phase output, and the tap between the resistor R2-5 and the resistor R2-9 is the fifth phase output. The tap between the resistor R2-11 and the resistor R2-15 is used as the seventh phase output, and the tap between the resistor R2-13 and the resistor R2-17 is used as the ninth phase output;
所述多相位正弦方波转换模块包括5个运算放大器，运算放大器U2-1的反相输入端连接电阻链多相位生成模块的第一相位输出；运算放大器U2-1的同相输入端连接地，运算放大器U2-1的输出端为第一方波输出；运算放大器U2-3的反相输入端连接电阻链多相位生成模块的第三相位输出；运算放大器U2-3的同相输入端连接地，运算放大器U2-3的输出端为第三方波输出；运算放大器U2-5的反相输入端连接电阻链多相位生成模块的第五相位输出；运算放大器U2-5的同相输入端连接地，运算放大器U2-5的输出端为第五方波输出；运算放大器U2-7的反相输入端连接电阻链多相位生成模块的第七相位输出；运算放大器U2-7的同相输入端连接地，运算放大器U2-7的输出端为第七方波输出；运算放大器U2-9的反相输入端连接电阻链多相位生成模块的第九相位输出；运算放大器U2-9的同相输入端连接地，运算放大器U2-9的输出端为第九方波输出；The multi-phase sine-square wave conversion module includes 5 operational amplifiers, and the inverting input end of the operational amplifier U2-1 is connected to the first phase output of the resistance chain multi-phase generating module; the non-inverting input end of the operational amplifier U2-1 is connected to the ground, The output terminal of the operational amplifier U2-1 is the first square wave output; the inverting input terminal of the operational amplifier U2-3 is connected to the third phase output of the resistance chain polyphase generating module; the non-inverting input terminal of the operational amplifier U2-3 is connected to the ground, The output terminal of the operational amplifier U2-3 is the third-party wave output; the inverting input terminal of the operational amplifier U2-5 is connected to the fifth phase output of the resistance chain polyphase generation module; the non-inverting input terminal of the operational amplifier U2-5 is connected to the ground, and the operational amplifier U2-5 is connected to the ground. The output terminal of the amplifier U2-5 is the fifth square wave output; the inverting input terminal of the operational amplifier U2-7 is connected to the seventh phase output of the resistance chain polyphase generating module; the non-inverting input terminal of the operational amplifier U2-7 is connected to the ground, and the operational amplifier U2-7 is connected to the ground. The output terminal of the amplifier U2-7 is the seventh square wave output; the inverting input terminal of the operational amplifier U2-9 is connected to the ninth phase output of the resistance chain polyphase generating module; the non-inverting input terminal of the operational amplifier U2-9 is connected to the ground, and the operational The output terminal of amplifier U2-9 is the ninth square wave output;
所述多相位融合逻辑门模块包括4个异或门，异或门U3-1的输入为第三方波输出和第七方波输出，异或门U3-1的输出为第一异或输出；异或门U3-3的输入为第一方波输出和第一异或输出，异或门U3-3的输出为第三异或输出；异或门U3-6的输入为第三异或输出和第七异或输出，异或门U3-6的输出为第六异或输出；异或门U3-7的输入为第五方波输出和第九方波输出，异或门U3-7的输出为第七异或输出；其中，第六异或输出作为准相位超分辨方波输出。The polyphase fusion logic gate module comprises 4 XOR gates, the input of the XOR gate U3-1 is the third-party wave output and the seventh square wave output, and the output of the XOR gate U3-1 is the first XOR output; The input of the XOR gate U3-3 is the first square wave output and the first XOR output, the output of the XOR gate U3-3 is the third XOR output; the input of the XOR gate U3-6 is the third XOR output And the seventh XOR output, the output of the XOR gate U3-6 is the sixth XOR output; the input of the XOR gate U3-7 is the fifth square wave output and the ninth square wave output, the XOR gate U3-7 outputs The output is the seventh XOR output; wherein, the sixth XOR output is output as a quasi-phase super-resolution square wave.
上述胸腹表面呼吸运动信号准相位超分辨电路，所述信号转换模块，由通带频率包含ω的滤波器和放大器来实现。In the above-mentioned quasi-phase super-resolution circuit for respiratory motion signals on the thoracic and abdominal surfaces, the signal conversion module is realized by a filter and an amplifier whose passband frequency includes ω.
一种胸腹表面呼吸运动信号准相位超分辨方法，包括以下步骤：A quasi-phase super-resolution method for respiratory motion signals on the thoracic and abdominal surfaces, comprising the following steps:
步骤a、在信号转换模块中，利用通带频率包含ω的滤波器和放大器，实现输入为周期的呼吸运动信号f(t)，输出为：Step a, in the signal conversion module, use a filter and an amplifier whose passband frequency includes ω to realize the input of a periodic breathing motion signal f(t), and the output is:
其中，in,
滤波器选择频率为ω的分量通过；The filter selects the component with frequency ω to pass;
放大器将幅值调整为
步骤b、在相位差多输出模块中，利用由电阻、电容和运算放大器组成的两个微分电路，分别实现对信号转换模块的输出余弦信号进行一次微分和两次微分，进而实现相位差为公差π/2的等差数列三输出；Step b. In the phase difference multi-output module, two differentiating circuits consisting of a resistor, a capacitor and an operational amplifier are used to perform one-time differentiation and two-time differentiation respectively on the output cosine signal of the signal conversion module, and then realize that the phase difference is a tolerance Arithmetic series three output of π/2;
步骤c、在电阻链多相位生成模块中，为了方便分析，将相位差多输出模块的三输出分别设定为sinα、sin(α-π/2)和sin(α-π)；Step c. In the resistance chain multi-phase generation module, in order to facilitate the analysis, the three outputs of the phase difference multi-output module are respectively set as sinα, sin(α-π/2) and sin(α-π);
由于电阻R2-3和电阻R2-7的阻值比为8/11，因此电阻R2-3和电阻R2-7之间的抽头电压为：Since the resistance ratio of resistor R2-3 and resistor R2-7 is 8/11, the tap voltage between resistor R2-3 and resistor R2-7 is:
由于电阻R2-5和电阻R2-9的阻值比为28/9，因此电阻R2-5和电阻R2-9之间的抽头电压为：Since the resistance ratio of resistor R2-5 and resistor R2-9 is 28/9, the tap voltage between resistor R2-5 and resistor R2-9 is:
由于电阻R2-11和电阻R2-15的阻值比为9/28，因此电阻R2-11和电阻R2-15之间的抽头电压为：Since the resistance ratio of resistor R2-11 and resistor R2-15 is 9/28, the tap voltage between resistor R2-11 and resistor R2-15 is:
由于电阻R2-13和电阻R2-17的阻值比为11/8，因此电阻R2-13和电阻R2-17之间的抽头电压为：Since the resistance ratio of resistor R2-13 and resistor R2-17 is 11/8, the tap voltage between resistor R2-13 and resistor R2-17 is:
能够看出，电阻链多相位生成模块的输出为相位公差为π/5的等差数列五输出；It can be seen that the output of the multi-phase generation module of the resistance chain is the output of arithmetic sequence five with a phase tolerance of π/5;
步骤d、在多相位正弦方波转换模块中，电阻链多相位生成模块的每一路输出都经过过零比较器，将幅值调整为运算放大器的饱和电压值，相位保留；Step d, in the multi-phase sine-square wave conversion module, each output of the resistance chain multi-phase generation module passes through a zero-crossing comparator, and the amplitude is adjusted to the saturation voltage value of the operational amplifier, and the phase is retained;
步骤e、在多相位融合逻辑门模块中，利用多相位正弦方波转换模块的五个方波输出和多相位融合逻辑门模块的三个异或输出进行逻辑运算，实现准相位超分辨方波输出；准相位超分辨方波输出将一个周期的呼吸运动信号变成五个周期的方波信号，相位相差准相位超分辨方波输出信号的零周期。Step e, in the multi-phase fusion logic gate module, use the five square wave outputs of the multi-phase sine square wave conversion module and the three XOR outputs of the multi-phase fusion logic gate module to perform logical operations to realize quasi-phase super-resolution square waves Output; quasi-phase super-resolution square wave output turns one cycle of breathing motion signal into five-cycle square wave signal, and the phase difference is zero cycle of quasi-phase super-resolution square wave output signal.
有益效果：Beneficial effects:
第一、在本发明中，信号转换模块，相位差多输出模块，电阻链多相位生成模块，多相位正弦方波转换模块和多相位融合逻辑门模块作为一个整体，缺一不可，共同实现了将一个周期的呼吸运动信号变成多个周期的准相位方波信号，且相位相差准相位超分辨方波输出信号的零周期；即实现了对胸腹表面呼吸运动信号的超分辨，这个结果所能够带来的进一步技术优势在于，在多个呼吸周期过程中，通过判断方波信号的频率变化即可判断呼吸频率的变化，更重要的是，由于超分辨方波的周期远小于呼吸运动周期，因此能够在更短时间内，即小于一个呼吸周期的时间范围内，判断出呼吸频率的变化。First, in the present invention, the signal conversion module, the phase difference multi-output module, the resistance chain multi-phase generation module, the multi-phase sine square wave conversion module and the multi-phase fusion logic gate module as a whole, are indispensable, and jointly realize the The respiratory motion signal of one cycle is transformed into a quasi-phase square wave signal of multiple periods, and the phase is different from the zero period of the quasi-phase super-resolution square wave output signal; that is, the super-resolution of the respiratory motion signal on the thoracic and abdominal surfaces is achieved. This result The further technical advantage that can be brought is that in the process of multiple breathing cycles, the change of the breathing frequency can be judged by judging the frequency change of the square wave signal. More importantly, since the period of the super-resolution square wave is much smaller than the breathing motion Therefore, the change of the breathing frequency can be determined in a shorter time, that is, within a time range of less than one breathing cycle.
第二、对胸腹表面呼吸运动信号进行超分辨，可以首先进行准相位超分辨和错相位超分辨，再利用准相位超分辨信号和错相位超分辨信号的相位差，进行二次超分辨，进一步提高超分辨精度，缩短信号分析时间；这其中，获得准相位超分辨信号和错相位超分辨信号是必不可少的步骤，本申请同本项目团队同日申请的另外两项专利《一种胸腹表面呼吸运动信号错相位超分辨电路》和《一种胸腹表面呼吸运动信号错相位超分辨方法》相比，通过选择特殊的电阻参数，实现了对胸腹表面呼吸运动信号的准相位超分辨，即实现了将一个周期的呼吸运动信号变成多个周期的准相位方波信号，且相位相差准相位超分辨方波输出信号的零周期，为二次超分辨奠定基础。Second, to super-resolve the respiratory motion signals on the thoracic and abdominal surfaces, you can first perform quasi-phase super-resolution and mis-phase super-resolution, and then use the phase difference between the quasi-phase super-resolution signal and the mis-phase super-resolution signal to perform secondary super-resolution, Further improve the super-resolution accuracy and shorten the signal analysis time; among them, obtaining quasi-phase super-resolution signals and out-of-phase super-resolution signals is an essential step. Compared with "A method of thoracic and abdominal surface respiratory motion signal mis-phase super-resolution circuit", by selecting special resistance parameters, the quasi-phase super-resolution of thoracic and abdominal surface respiratory motion signals is realized. Resolution, that is, the realization of a cycle of breathing motion signal into a multi-cycle quasi-phase square wave signal, and the phase difference between the zero period of the quasi-phase super-resolution square wave output signal, laying the foundation for secondary super-resolution.
附图说明Description of drawings
图1是本发明胸腹表面呼吸运动信号准相位超分辨电路逻辑框图。FIG. 1 is a logical block diagram of the quasi-phase super-resolution circuit of the breathing motion signal on the thoracic and abdominal surfaces of the present invention.
图2是本发明胸腹表面呼吸运动信号准相位超分辨电路中相位差多输出模块电路图。FIG. 2 is a circuit diagram of a phase difference multi-output module in the quasi-phase super-resolution circuit of the breathing motion signal on the thoracic and abdominal surfaces of the present invention.
图3是本发明胸腹表面呼吸运动信号准相位超分辨电路中电阻链多相位生成模块电路图。FIG. 3 is a circuit diagram of a resistance chain multiphase generation module in the quasi-phase super-resolution circuit of the breathing motion signal on the thoracic and abdominal surfaces of the present invention.
图4是本发明胸腹表面呼吸运动信号准相位超分辨电路中多相位正弦方波转换模块电路图。FIG. 4 is a circuit diagram of a multi-phase sine-square wave conversion module in the quasi-phase super-resolution circuit of the breathing motion signal on the thoracic and abdominal surfaces of the present invention.
图5是本发明胸腹表面呼吸运动信号准相位超分辨电路中多相位融合逻辑门模块电路图。5 is a circuit diagram of a multi-phase fusion logic gate module in the quasi-phase super-resolution circuit of the breathing motion signal on the chest and abdomen surface of the present invention.
图6是本发明胸腹表面呼吸运动信号准相位超分辨电路各模块输出波形图。FIG. 6 is an output waveform diagram of each module of the quasi-phase super-resolution circuit of the breathing motion signal on the thoracic and abdominal surfaces of the present invention.
具体实施方式Detailed ways
下面结合附图对本发明具体实施方式作进一步详细描述。The specific embodiments of the present invention will be further described in detail below with reference to the accompanying drawings.
具体实施方式一Specific implementation one
本实施方式为胸腹表面呼吸运动信号准相位超分辨电路的实施方式。This embodiment is an embodiment of a quasi-phase super-resolution circuit for respiratory motion signals on the thoracic and abdominal surfaces.
胸腹表面呼吸运动信号准相位超分辨电路，逻辑框图如图1所示，该胸腹表面呼吸运动信号准相位超分辨电路包括信号转换模块，相位差多输出模块，电阻链多相位生成模块，多相位正弦方波转换模块和多相位融合逻辑门模块；其中，相位差多输出模块电路图如图2所示，电阻链多相位生成模块电路图如图3所示，多相位正弦方波转换模块电路图如图4所示，多相位融合逻辑门模块电路图如图5所示，本发明胸腹表面呼吸运动信号超分辨电路各模块输出波形图如图6所示；The quasi-phase super-resolution circuit of the respiratory motion signal on the thoracic and abdominal surface, the logic block diagram is shown in Figure 1, the quasi-phase super-resolution circuit of the respiratory motion signal on the chest and abdomen surface includes a signal conversion module, a phase difference multi-output module, and a resistance chain multi-phase generation module. Multi-phase sine square wave conversion module and multi-phase fusion logic gate module; among them, the circuit diagram of the phase difference multi-output module is shown in Figure 2, the circuit diagram of the resistance chain multi-phase generation module is shown in Figure 3, and the circuit diagram of the multi-phase sine square wave conversion module As shown in FIG. 4 , the circuit diagram of the multiphase fusion logic gate module is shown in FIG. 5 , and the output waveform diagram of each module of the respiratory motion signal super-resolution circuit on the thoracic and abdominal surface of the present invention is shown in FIG. 6 ;
所述信号转换模块的输入为一个周期的呼吸运动信号f(t)，输出为：The input of the signal conversion module is a cycle of respiratory motion signal f(t), and the output is:
其中：t0为呼吸运动信号f(t)开始采集的时间；ω为呼吸运动信号f(t)的角频率；T为呼吸运动信号f(t)的周期；Among them: t 0 is the time when the respiratory motion signal f(t) starts to be collected; ω is the angular frequency of the respiratory motion signal f(t); T is the period of the respiratory motion signal f(t);
所述信号转换模块，由通带频率包含ω的滤波器和放大器来实现；The signal conversion module is realized by a filter and an amplifier whose passband frequency includes ω;
所述相位差多输出模块包括运算放大器U1-1和运算放大器U1-2，所述运算放大器U1-1的反相输入端通过电容C1-1连接信号转换模块的输出端，通过电阻R1-1连接运算放大器U1-1的输出端，运算放大器U1-1的同相输入端连接地；所述运算放大器U1-2的反相输入端通过电容C1-2连接运算放大器U1-1的输出端，通过电阻R1-2连接运算放大器U1-2的输出端，运算放大器U1-2的同相输入端连接地；信号转换模块的输出端作为所述相位差多输出模块的第一输出，运算放大器U1-1的输出端作为所述相位差多输出模块的第二输出，运算放大器U1-2的输出端作为所述相位差多输出模块的第三输出；The phase difference multi-output module includes an operational amplifier U1-1 and an operational amplifier U1-2. The inverting input end of the operational amplifier U1-1 is connected to the output end of the signal conversion module through a capacitor C1-1, and is connected to the output end of the signal conversion module through a resistor R1-1. The output terminal of the operational amplifier U1-1 is connected, and the non-inverting input terminal of the operational amplifier U1-1 is connected to the ground; the inverting input terminal of the operational amplifier U1-2 is connected to the output terminal of the operational amplifier U1-1 through the capacitor C1-2, and is connected to the output terminal of the operational amplifier U1-1 through the capacitor C1-2. The resistor R1-2 is connected to the output terminal of the operational amplifier U1-2, and the non-inverting input terminal of the operational amplifier U1-2 is connected to the ground; the output terminal of the signal conversion module is used as the first output of the phase difference multi-output module, and the operational amplifier U1-1 The output terminal of U1-2 is used as the second output of the phase difference multiple output module, and the output terminal of the operational amplifier U1-2 is used as the third output of the phase difference multiple output module;
所述电阻链多相位生成模块包括9个电阻；相位差多输出模块的第一输出和相位差多输出模块的第二输出之间分别通过电阻R2-3和电阻R2-7的串联结构连接，电阻R2-3和电阻R2-7的阻值比为8/11，通过电阻R2-5和电阻R2-9的串联结构连接，电阻R2-5和电阻R2-9的阻值比为28/9；相位差多输出模块的第二输出和相位差多输出模块的第三输出之间分别通过电阻R2-11和电阻R2-15的串联结构连接，电阻R2-11和电阻R2-15的阻值比为9/28，通过电阻R2-13和电阻R2-17的串联结构连接，电阻R2-13和电阻R2-17的阻值比为11/8；所述相位差多输出模块的第一输出经过电阻R2-1后作为第一相位输出，电阻R2-3和电阻R2-7之间的抽头作为第三相位输出，电阻R2-5和电阻R2-9之间的抽头作为第五相位输出，电阻R2-11和电阻R2-15之间的抽头作为第七相位输出，电阻R2-13和电阻R2-17之间的抽头作为第九相位输出；The resistance chain multi-phase generation module includes 9 resistors; the first output of the phase difference multi-output module and the second output of the phase difference multi-output module are respectively connected through the series structure of the resistor R2-3 and the resistor R2-7, The resistance ratio of resistor R2-3 and resistor R2-7 is 8/11, which is connected through the series structure of resistor R2-5 and resistor R2-9, and the resistance ratio of resistor R2-5 and resistor R2-9 is 28/9 ; The second output of the phase-difference multi-output module and the third output of the phase-difference multi-output module are respectively connected through the series structure of the resistor R2-11 and the resistor R2-15, and the resistance value of the resistor R2-11 and the resistor R2-15 The ratio is 9/28, which is connected through the series structure of the resistor R2-13 and the resistor R2-17, and the resistance ratio of the resistor R2-13 and the resistor R2-17 is 11/8; the first output of the phase difference multi-output module After passing through the resistor R2-1, the output is the first phase, the tap between the resistor R2-3 and the resistor R2-7 is the third phase output, and the tap between the resistor R2-5 and the resistor R2-9 is the fifth phase output. The tap between the resistor R2-11 and the resistor R2-15 is used as the seventh phase output, and the tap between the resistor R2-13 and the resistor R2-17 is used as the ninth phase output;
所述多相位正弦方波转换模块包括5个运算放大器，运算放大器U2-1的反相输入端连接电阻链多相位生成模块的第一相位输出；运算放大器U2-1的同相输入端连接地，运算放大器U2-1的输出端为第一方波输出；运算放大器U2-3的反相输入端连接电阻链多相位生成模块的第三相位输出；运算放大器U2-3的同相输入端连接地，运算放大器U2-3的输出端为第三方波输出；运算放大器U2-5的反相输入端连接电阻链多相位生成模块的第五相位输出；运算放大器U2-5的同相输入端连接地，运算放大器U2-5的输出端为第五方波输出；运算放大器U2-7的反相输入端连接电阻链多相位生成模块的第七相位输出；运算放大器U2-7的同相输入端连接地，运算放大器U2-7的输出端为第七方波输出；运算放大器U2-9的反相输入端连接电阻链多相位生成模块的第九相位输出；运算放大器U2-9的同相输入端连接地，运算放大器U2-9的输出端为第九方波输出；The multi-phase sine-square wave conversion module includes 5 operational amplifiers, and the inverting input end of the operational amplifier U2-1 is connected to the first phase output of the resistance chain multi-phase generating module; the non-inverting input end of the operational amplifier U2-1 is connected to the ground, The output terminal of the operational amplifier U2-1 is the first square wave output; the inverting input terminal of the operational amplifier U2-3 is connected to the third phase output of the resistance chain polyphase generating module; the non-inverting input terminal of the operational amplifier U2-3 is connected to the ground, The output terminal of the operational amplifier U2-3 is the third-party wave output; the inverting input terminal of the operational amplifier U2-5 is connected to the fifth phase output of the resistance chain polyphase generation module; the non-inverting input terminal of the operational amplifier U2-5 is connected to the ground, and the operational amplifier U2-5 is connected to the ground. The output terminal of the amplifier U2-5 is the fifth square wave output; the inverting input terminal of the operational amplifier U2-7 is connected to the seventh phase output of the resistance chain polyphase generating module; the non-inverting input terminal of the operational amplifier U2-7 is connected to the ground, and the operational amplifier U2-7 is connected to the ground. The output terminal of the amplifier U2-7 is the seventh square wave output; the inverting input terminal of the operational amplifier U2-9 is connected to the ninth phase output of the resistance chain polyphase generating module; the non-inverting input terminal of the operational amplifier U2-9 is connected to the ground, and the operational The output terminal of amplifier U2-9 is the ninth square wave output;
所述多相位融合逻辑门模块包括4个异或门，异或门U3-1的输入为第三方波输出和第七方波输出，异或门U3-1的输出为第一异或输出；异或门U3-3的输入为第一方波输出和第一异或输出，异或门U3-3的输出为第三异或输出；异或门U3-6的输入为第三异或输出和第七异或输出，异或门U3-6的输出为第六异或输出；异或门U3-7的输入为第五方波输出和第九方波输出，异或门U3-7的输出为第七异或输出；其中，第六异或输出作为准相位超分辨方波输出。The polyphase fusion logic gate module comprises 4 XOR gates, the input of the XOR gate U3-1 is the third-party wave output and the seventh square wave output, and the output of the XOR gate U3-1 is the first XOR output; The input of the XOR gate U3-3 is the first square wave output and the first XOR output, the output of the XOR gate U3-3 is the third XOR output; the input of the XOR gate U3-6 is the third XOR output And the seventh XOR output, the output of the XOR gate U3-6 is the sixth XOR output; the input of the XOR gate U3-7 is the fifth square wave output and the ninth square wave output, the XOR gate U3-7 outputs The output is the seventh XOR output; wherein, the sixth XOR output is output as a quasi-phase super-resolution square wave.
具体实施方式二Specific embodiment two
本实施方式为胸腹表面呼吸运动信号准相位超分辨方法的实施方式。This embodiment is an embodiment of the quasi-phase super-resolution method for respiratory motion signals on the thoracic and abdominal surfaces.
胸腹表面呼吸运动信号准相位超分辨方法，其特征在于，包括以下步骤：The method for quasi-phase super-resolution of respiratory motion signals on thoracic and abdominal surfaces is characterized in that, comprising the following steps:
步骤a、在信号转换模块中，利用通带频率包含ω的滤波器和放大器，实现输入为周期的呼吸运动信号f(t)，输出为：Step a, in the signal conversion module, use a filter and an amplifier whose passband frequency includes ω to realize the input of a periodic breathing motion signal f(t), and the output is:
其中，in,
滤波器选择频率为ω的分量通过；The filter selects the component with frequency ω to pass;
放大器将幅值调整为
步骤b、在相位差多输出模块中，利用由电阻、电容和运算放大器组成的两个微分电路，分别实现对信号转换模块的输出余弦信号进行一次微分和两次微分，进而实现相位差为公差π/2的等差数列三输出；Step b. In the phase difference multi-output module, two differentiating circuits consisting of a resistor, a capacitor and an operational amplifier are used to perform one-time differentiation and two-time differentiation respectively on the output cosine signal of the signal conversion module, and then realize that the phase difference is a tolerance Arithmetic series three output of π/2;
步骤c、在电阻链多相位生成模块中，为了方便分析，将相位差多输出模块的三输出分别设定为sinα、sin(α-π/2)和sin(α-π)；Step c. In the resistance chain multi-phase generation module, in order to facilitate the analysis, the three outputs of the phase difference multi-output module are respectively set as sinα, sin(α-π/2) and sin(α-π);
由于电阻R2-3和电阻R2-7的阻值比为8/11，因此电阻R2-3和电阻R2-7之间的抽头电压为：Since the resistance ratio of resistor R2-3 and resistor R2-7 is 8/11, the tap voltage between resistor R2-3 and resistor R2-7 is:
由于电阻R2-5和电阻R2-9的阻值比为28/9，因此电阻R2-5和电阻R2-9之间的抽头电压为：Since the resistance ratio of resistor R2-5 and resistor R2-9 is 28/9, the tap voltage between resistor R2-5 and resistor R2-9 is:
由于电阻R2-11和电阻R2-15的阻值比为9/28，因此电阻R2-11和电阻R2-15之间的抽头电压为：Since the resistance ratio of resistor R2-11 and resistor R2-15 is 9/28, the tap voltage between resistor R2-11 and resistor R2-15 is:
由于电阻R2-13和电阻R2-17的阻值比为11/8，因此电阻R2-13和电阻R2-17之间的抽头电压为：Since the resistance ratio of resistor R2-13 and resistor R2-17 is 11/8, the tap voltage between resistor R2-13 and resistor R2-17 is:
能够看出，电阻链多相位生成模块的输出为相位公差为π/5的等差数列五输出；It can be seen that the output of the multi-phase generation module of the resistance chain is the output of arithmetic sequence five with a phase tolerance of π/5;
步骤d、在多相位正弦方波转换模块中，电阻链多相位生成模块的每一路输出都经过过零比较器，将幅值调整为运算放大器的饱和电压值，相位保留；Step d, in the multi-phase sine-square wave conversion module, each output of the resistance chain multi-phase generation module passes through a zero-crossing comparator, and the amplitude is adjusted to the saturation voltage value of the operational amplifier, and the phase is retained;
步骤e、在多相位融合逻辑门模块中，利用多相位正弦方波转换模块的五个方波输出和多相位融合逻辑门模块的三个异或输出进行逻辑运算，实现准相位超分辨方波输出；准相位超分辨方波输出将一个周期的呼吸运动信号变成五个周期的方波信号，相位相差准相位超分辨方波输出信号的零周期。Step e, in the multi-phase fusion logic gate module, use the five square wave outputs of the multi-phase sine square wave conversion module and the three XOR outputs of the multi-phase fusion logic gate module to perform logical operations to realize quasi-phase super-resolution square waves Output; quasi-phase super-resolution square wave output turns one cycle of breathing motion signal into five-cycle square wave signal, and the phase difference is zero cycle of quasi-phase super-resolution square wave output signal.
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