# Model Construction of Using Physiological Signals to Detect Mental Health Status

Authors: Xiaoqian Liu
Journal: Journal of Healthcare Engineering
 (2021)

---

## Abstract

Background. Mental health is a direct indicator of human mental activity, and it also affects all aspects of the human body. It plays a very important role in monitoring human mental health. Objectives. To design a mental health state detection model based on physiological signals to detect human mental health. Methods. For the detection of mental health, the sliding window method is used to divide the physiological signal dataset and the corresponding time into several segments and then calculate the physiological signal data in the sliding window for each physiological signal to form a sequence of characteristic values; according to the heart rate variability of the physiological signal, the heart rate variability (HRV) is extracted from the interval spectrum waveform: through the discrete trend analysis in statistics, the change characteristics of the ECG signal are analyzed, and the sequence statistical indicators of the physiological signal are calculated. With the help of a support vector machine used for the significant accuracy with less computation power, the physiological signals of the mental state are classified, and the discriminant function of the mental health state signals is normalized. A mental health state detection model is constructed according to the index system, the optimal solution of the model is obtained through the optimization function, and the mental health state detection is completed. Result. The detection error of the proposed model is less which improves the detection accuracy and is less time consuming. Conclusion. The detection model using physiological signals is proposed to evaluate the mental health status. As compared to the other detection models, its detection time is short and method error is always less than 2% which shows its accuracy and effectiveness.


---

## Body

## 1. Introduction

With the continuous development of the social economy, people are constantly under pressure from many aspects of life. These pressures are classified as chronic and acute. Psychological pressure will bring a series of pathological and physiological risks, which directly affect people’s physical and mental health. How to evaluate the psychological stress state of patients from the physiological point of view is still an urgent research topic [1]. Psychological pressure is a kind of psychological or physiological tension or reaction when the human body is stimulated by the external environment. At present, the pace of social life is speeding up, everyone will have pressure, and students will have pressure in the exam; when the driver is in the emergency transportation task, it will also produce pressure [2]. Because the external factors we accept are too complex, everyone will have different levels of stress. When we work or study, there is certain psychological pressure that can improve the efficiency of our work and study. But, if the level of psychological pressure is too high or the time is too long, then this state of stress will affect human health and cause a mental or physical illness. Modern medicine has proved that psychological pressure can weaken the body’s immune system, leading to external factors causing diseases in the body [3]. According to the data of the World Health Organization, mental illness has now ranked first in the total burden of diseases in China, accounting for about 20% of the total burden of diseases in China. It is estimated that by 2020, this ratio will rise to 1/4. Nowadays, modern people pay more attention to the quality of life and mental diseases. 70% of the people in China are in the subhealth state, and the patients with mental stress-related diseases account for 5–10% of the population. Therefore, the detection of mental health status has become the focus of the current research on human mental health.At present, accurate measurement of psychological stress is the basis of evaluating mental health, among which there are three representative measurement methods: the self-evaluation method, behavioral measurement method, and physiological measurement method [4]. The self-evaluation method mainly uses the patient to fill in the self-evaluation scale to measure the source of psychological pressure and the state of mental stress. It is the most important and widely used method in all methods. At present, the behavioral measurement method is used to measure psychological stress according to the performance of specific life events such as drinking and smoking. It is widely used in the study of stress sources by filling in the life event scale.The change of human physiological signal is the result of the autonomic nervous system and endocrine system, so the change of body or emotion will cause the corresponding change of physiological signal parameters. Physiological signal parameters contain rich emotional characteristics, which can be used as an important indicator of mental health state detection [5]. Human physiological signal parameters are fair, objective, real, and unforgeable because they are not controlled by consciousness. The detection of human physiological signals is to use these characteristics of human physiological parameters as the measurement medium of psychological pressure. Physiological signal parameters used to study mental health state include ECG, heart rate, EMG, skin electrical impedance, skin temperature, blood volume pulsation, photoelectric pulse, respiratory physiological signal, and EEG. In the existing research, most of the methods of mental health state detection are combined with self-evaluation, behavioral measurement, and physiological measurement. But, in traditional research methods, the identification of physiological signal index should not only consider the representation of the index itself but also the feasibility of acquisition equipment and induced experiment [6]. Therefore, there are many deficiencies in the existing research that need to be improved.Therefore, this paper proposes to build a mental health state detection model based on physiological signals. The technical route of this paper is as follows:Step 1: physiological signal acquisition: ECG signal and skin resistance signal reflecting mental health status are collected. In ECG signal acquisition, the ECG signal of the captured human body is transmitted to the lead line interface through the ECG lead. Through the adjustment of primary magnification and postamplification of the acquisition circuit, an accurate skin resistance signal is output.Step 2: physiological signal feature extraction: the physiological signal dataset and corresponding time are divided into several segments by the sliding window method. Then, the physiological signal data in the sliding window are calculated for each physiological signal, and the characteristic value sequence is formed; according to the heart rate variability of physiological signals, an HRV waveform was extracted by the interval spectrum.Step 3: mental health state detection model construction and optimal solution: Through the discrete trend analysis in statistics, the change characteristics of ECG signals are analyzed, and the sequence statistical indexes of physiological signals are calculated. With the help of a support vector machine, the physiological signals of mental state are classified, and the discriminant function of the signals of a mental health state is normalized. According to the index system, the detection model of a mental health state is constructed, and the optimal solution of the model is obtained through the optimization function to complete the detection of the mental health state.


## 2. Construction of the Mental Health State Detection Model Based on Physiological Signal

### 2.1. Physiological Signal Acquisition of Mental Health

After being stimulated by the outside world, the strongest physiological signal is ECG. Therefore, it is important to collect ECG signals in physiological signal extraction. In normal sinus rhythm, the pacing point of the heart is the starting point of the cardiac conduction system, sinoatrial node [7]. After the generation of SAAN, the impulse is transmitted to the bundle between nodes and common atrial muscle and finally to the atrial honey node, and the left atrium conduction velocity of impulse in the atrioventricular node becomes very slow, and it will accelerate only when it reaches his bundle. The conduction velocity of Purkinje dorsal field fiber and bundle branch is very high, which can make almost all ventricular muscles excited during rain. Normally, a complete cardiac cycle is completed. The impulse of the heart comes from the change of cell potential, so with the conduction of impulse, it will produce the same change of electric wave. According to the previous ECG research, a complete cardiac cycle corresponds to a complete ECG waveform [8]. There are several kinds of waveforms that are obvious in the whole waveform cycle and are frequently used in physiological research.(1)
P wave: atrial depolarization wave, reflecting the process of electrical impulse in the right and left atrium. The impulse was transmitted from the atrium node to the atrium. At this time, the P wave began to appear and then spread to the left atrium. When the impulse of the left atrium ended, the P wave disappeared. The total impulse time of the two atria was less than 0.11 s.(2)
P-R interval: it refers to the conduction time of impulse from the atrium to narrow heart because after the end of P, the heart’s special action is transmitted to the ventricle through the tissue between the atrium and ventricle, and the potential of tissue cells is very subtle during the conduction process; Therefore, during the period after the end of the P wave and before the ventricular activation, the ECG waveform basically did not change, and it can be almost considered that there was no potential change during this period [9].(3)
Q-R-S wave group: ventricular depolarization wave, reflecting the electrical impulse process of the left and right ventricles. The Q-R-S wave group of normal people is formed by three typical continuous waves. The first wave peak from the bottom is called theQ wave, then the wave with the first wave peak upward is called the R wave, and the wave with the first wave peak downward after the dimensional R wave is called the S wave. These three waveforms form a wave group with fuzzy boundary and short time, which is called the Q-R-S wave group.(4)
S-T segment: it is a time interval from the end of ventricular depolarization potential to the beginning of repolarization potential. It is a segment of the equipotential line from the end of the S wave in the Q-R-S wave group to the beginning of theT wave. Under normal conditions, there is no obvious waveform change. Whether there is any change in the S-T segment in the clinic should be observed at about 0.068 ∼ 0.08s after the connecting point between the S wave and T wave.(5)
T wave: ventricular repolarization wave: it represents the potential changes of ventricular myocytes when they change from the impulsive state to recovery state from the Q-R-S wave group after the end of a wave crest upward wave [10].(6)
Q-T interval: from the beginning of the Q-R-S wave group to the end of theT wave: the length of the Q-T interval depends on the change of heart rate, and there is a negative correlation between the Q-T interval and heart rate. In addition to that the change of heart rate will lead to the lengthening of the Q-T interval, age, gender, and other conditions will also lead to the change of the Q-T interval. In general, if the heart rate is about 75 beats/min, the corresponding Q-T interval is about 0.3 s∼0.4 s.Analyzing the change of the Q-T interval in the signal collection of the physiological signal center can play an auxiliary role in studying the influence of psychological stress on the heart. Since the Q-T interval is greatly affected by heart rate, it is necessary to eliminate individual differences. The revised Q-T interval is often used, which needs psychological correction [11]; that is to say,(1)QTv=RUP.In the formula,QTv represents the revised Q-T interval; QT represents the Q-T interval of the ECG signal; and U P represents the R-R interval of the ECG signal.In ECG signal acquisition, the ECG signal of the captured human body is transmitted to the lead line interface through the cardiac conductivity line and then input into the ECG signal processing circuit. The signal processing circuit amplifies the signal successively, passes through the high pass filter, then amplifies, and then, filters through the low pass. Finally, the digital signal is input to a PC through the serial port. The digital ECG signal uploaded is further analyzed by manual operation, and the final judgment result is obtained [12]; the process of ECG signal acquisition is shown in Figure 1.Figure 1
Collection process of human ECG signal.Based on the abovementioned ECG signals, skin electrical impedance is also an important signal to reflect human mental health. As the signal is more abstract, the signal acquisition in this paper is completed by designing the signal acquisition circuit. In the design of a skin electrical impedance signal acquisition circuit, one end of the device is in contact with the human body, while the other end of the device is connected with the power grid. The sudden high voltage and large current of the power grid is a fatal threat to the human body. To prevent accidents, it is necessary to have an electrical safety isolation structure in the circuit. According to the characteristics of skin electrical impedance, the preamplifier filter circuit is an important part of the design of the skin electrical impedance acquisition circuit [13]. The high performance of the circuit requires that the relevant parameters of the circuit not only meet the relevant national electrical safety standards but also have outstanding advantages. To reduce the loss of signal, the input impedance should be high enough; the common-mode rejection ratio (CMRR) is much higher than the standard level to ensure the purity and integrity of the signal; In addition, the design of hardware filtering parameters should consider the effective frequency range of the actual signal and the combination of software filtering parameters. According to the requirements of circuit parameters, the circuit is designed. The main framework includes a front-end circuit module (including a front-end amplifier, high-pass filter, back-end amplifier, and low-pass filter), a/D conversion module, power supply module, serial circuit module, and electrical isolation module. According to the performance requirements and the correlation of the internal parameters of the circuit, the circuits in each functional module are designed in detail.Because the influence of the common-mode signal on each part of the acquisition circuit is the same, the common interference signal can be eliminated by using the differential circuit, that is, subtracting the two signals, to keep the valuable signal. So, the primary amplifier circuit is set as a differential circuit. Because the skin lead is closer to the heart than the limb lead, the collected signal is closer to the original ECG signal, and the amount of information is relatively large, so in the design of the system, the LF lead input signal of the left leg lead, which is far away from the heart and has a relatively small influence on the skin, is selected as the reference path to collect the skin electrical impedance signal [14]. The skin electrical impedance signal acquisition circuit is shown in Figure 2.Figure 2
Acquisition circuit of skin resistance signal.In the skin electrical impedance signal acquisition circuit, the primary magnification and the secondary magnification are calculated according to formula (2), the amplification of the whole circuit can be obtained, and the accuracy of the acquisition of skin resistance signal can be guaranteed; that is,(2)Y=1+UiU0.In the formula,Y represents the skin impedance signal acquisition results, Ui represents the skin impedance signal acquisition, and U0 represents the initial signal of skin impedance signal acquisition.In the physiological signal acquisition, this study mainly collects the ECG signal and skin electrical impedance signal which can reflect the state of mental health. In the ECG signal acquisition, the captured human ECG signal is transmitted to the lead line interface through the ECG lead. In the skin electrical impedance signal acquisition, the primary and secondary magnification of the acquisition circuit is adjusted and accurate skin electrical impedance signal is output.


### 2.2. Feature Extraction of Mental State Signal

Based on the abovementioned physiological signals, to realize the effective recognition of mental health state, we need to extract the characteristics of these signal data, so that different characteristics reflect different states. In this study, the sliding window method is used to extract physiological signal features. The physiological signal dataset and the corresponding time are divided into several segments, and then, for each physiological signal, the physiological signal data in the sliding window are calculated to form the eigenvalue sequence; that is,(3)R=Val−mVal3SVal3.In the formula, Val represents the characteristic value of the physiological signals;R represents the vibrational energy, namely, the distribution of power in the frequency domain. Because the changes of physiological signals are often random and irregular, S, by some transformation, the time domain signal of random vibration is converted into a frequency-domain signal, and the composite waveforms which appear continuously and contain the same frequency are decomposed to calculate the wave components of the same frequency.In this paper, the energy of physiological signal heart rate variability in a specific frequency band (0 ∼ 0.008 hz, 0.003 ∼ 0.040 hz, 0.01 ∼ 0.15 hz, and 0.15 ∼ 0.1 Hz) is analyzed [15]. The corresponding physiological signal data were separated from ECG to mark the important indexes of heart rate interval change; the S representing the percentage of absolute difference of the heartbeat interval with the continuous heartbeat interval more than 50 ms is converted into percentage and standardized by dividing the total heartbeat number by the heartbeat times with the difference between two heartbeat times more than 50 ms, to determine the electrical signal characteristics of physiological signal center.In this paper, the interval spectrum is used to extract the HRV waveform, based on the R-wave detection of physiological signals, the number of sampling points between two adjacent wave peaks is set as N, and then, there exists(4)U=Qn+1−Qn.The sampling frequency of the physiological signal is set as F, the sampling interval isT, and then, there exists(5)T=1F.UsingT with N, the R-R interval t of the physiological signal was calculated; that is, the feature can be represented as(6)t=T∑F×N.According to the abovementioned analysis, the initial value of the signal characteristic is obtained as follows:(7)fHRV=∑T60time.In the formula,fHRV represents the signal characteristic initial value.In the feature of the mental state signal, the sliding window method is used to divide the physiological signal dataset and the corresponding time into several segments. Then, for each physiological signal, the physiological signal data in the sliding window are calculated to form the eigenvalue sequence. On this basis, according to the heart rate variability of the physiological signal, the HRV waveform is extracted by the interval spectrum and the mental state signal characteristics are completed.


### 2.3. Mental Health State Detection Model

According to the abovementioned physiological signals of the mental state, the mental state detection model is constructed. Firstly, the R-R interval of the ECG signal is analyzed by discrete trend analysis, and the HRV signal was quantitatively evaluated by calculating the statistical index of the R-R interval sequence of the ECG signal.(1)
The determination of physiological signal centrality index is as follows:(8)HR=60v.In the formula,H R represents the heart rate index and v represents heart beating time.(2)
The average value of the R-R interval of adjacent signals is(9)RMSSD=∑i=1nHR−Ri2N.In the formula,RMSSD represents the mean value of the adjacent signal R-R interval and Ri represents the adjacent physiological signal values.(3)
In physiological signals, the index of adjacent signals can be expressed as(10)P=bniNN50.In the formula,NN50represents the difference of the adjacent R-R intervals greater than 50 ms for the percentage of all R-R intervals.The abovementioned mental health index data are used to build a mental health state detection model by support vector machine. In the research of mental health with a small sample size, how to achieve more accurate state detection has become a problem to be solved in this field; in this study, SVM (support vector machine) is used. For linear separable data types, the SVM algorithm aims to find an optimal classification hyperplane, which can meet the maximum blank area on both sides of the hyperplane while ensuring the data classification requirements and accuracy. Taking the two-dimensional space as an example, the two types of figures represent different types of training samples. If H1 and H2 are the boundary lines passing through the edge points of the two types of figures and with the largest interval, the line H with the same distance from the two lines is considered as the optimal classification line. In addition, if two kinds of sample points cannot be classified effectively by a hyperplane, the SVM algorithm maps the data to a higher dimension space to solve the optimal hyperplane. This can effectively limit the fitting and realize the detection of mental health.It is assumed that the set of mental state signal points in the physiological signal space of mental health state isxi,yi,i=1,2,3.... These signals are regarded as a linear discriminant function, and it can be expressed as(11)Hx=zTX+b.In the formula,Hx represents a signal linear discriminant function for the mental health state, which represents the bias factor.At this point, the classification surface equation of the abovementioned mental health state signal set is as follows:(12)Hx′=zTX′+b.At this time, the discriminant function of the mental health state signal is normalized to avoid the nonlinear disturbance of the mental health state signal in the detection process, and the signal samples of mental health state satisfiedHx′>1. If we want to realize the correct recognition of mental health state signals, we need to set the restrictions as follows:(13)yizTX+b−1≥0.According to the restriction conditions of mental health state signal recognition determined above, each signal data are divided into intervals, to obtain(14)Margin=2z.Because there are some errors in the division of the physiological signal interval of mental health state, to achieve the accuracy of state recognition, just as Lagrange function controls the change of the physiological signal, which is(15)LX=12ZTZ−γ∑i=1nyizTX+bμ.In the formula,γ represents the Lagrange system values and μ represents the function minimum. According to the abovementioned classification and control, the detection of human mental health is essentially the detection of physiological signals. Therefore, after the physiological signal state index is determined, the mental health state detection model is constructed according to the index system, to obtain(16)DX=∑i=1n12LXϑ.In the formula,ϑ represents the proportional factor present in the detection.According to the abovementioned mental health status detection model, the physiological signal changes were detected. Due to the continuous changes of physiological signals, the results obtained by the model of mental health status detection are not the only optimal solution. Therefore, the optimal solution of the detection model needs to be solved, to obtain(17)K∗=δ∑i=1naiDXσ.In the formula,ai represents the optimal solution greater than 0, δ represents support vectors, and σ represents the mental health status eigenvalues obtained.The R-R interval characteristics of ECG signals were analyzed by discrete trend analysis in statistics, and the statistical indexes of the R-R interval sequence of physiological signals were calculated to quantitatively evaluate HRV signals. On this basis, the physiological signals of mental state were classified by support vector machine, and the discriminant functions of mental health signals were normalized; according to the index system, the mental health state detection model is constructed, and the optimal solution of the model is obtained through the optimization function to complete the detection of mental health state.


## 2.1. Physiological Signal Acquisition of Mental Health

After being stimulated by the outside world, the strongest physiological signal is ECG. Therefore, it is important to collect ECG signals in physiological signal extraction. In normal sinus rhythm, the pacing point of the heart is the starting point of the cardiac conduction system, sinoatrial node [7]. After the generation of SAAN, the impulse is transmitted to the bundle between nodes and common atrial muscle and finally to the atrial honey node, and the left atrium conduction velocity of impulse in the atrioventricular node becomes very slow, and it will accelerate only when it reaches his bundle. The conduction velocity of Purkinje dorsal field fiber and bundle branch is very high, which can make almost all ventricular muscles excited during rain. Normally, a complete cardiac cycle is completed. The impulse of the heart comes from the change of cell potential, so with the conduction of impulse, it will produce the same change of electric wave. According to the previous ECG research, a complete cardiac cycle corresponds to a complete ECG waveform [8]. There are several kinds of waveforms that are obvious in the whole waveform cycle and are frequently used in physiological research.(1)
P wave: atrial depolarization wave, reflecting the process of electrical impulse in the right and left atrium. The impulse was transmitted from the atrium node to the atrium. At this time, the P wave began to appear and then spread to the left atrium. When the impulse of the left atrium ended, the P wave disappeared. The total impulse time of the two atria was less than 0.11 s.(2)
P-R interval: it refers to the conduction time of impulse from the atrium to narrow heart because after the end of P, the heart’s special action is transmitted to the ventricle through the tissue between the atrium and ventricle, and the potential of tissue cells is very subtle during the conduction process; Therefore, during the period after the end of the P wave and before the ventricular activation, the ECG waveform basically did not change, and it can be almost considered that there was no potential change during this period [9].(3)
Q-R-S wave group: ventricular depolarization wave, reflecting the electrical impulse process of the left and right ventricles. The Q-R-S wave group of normal people is formed by three typical continuous waves. The first wave peak from the bottom is called theQ wave, then the wave with the first wave peak upward is called the R wave, and the wave with the first wave peak downward after the dimensional R wave is called the S wave. These three waveforms form a wave group with fuzzy boundary and short time, which is called the Q-R-S wave group.(4)
S-T segment: it is a time interval from the end of ventricular depolarization potential to the beginning of repolarization potential. It is a segment of the equipotential line from the end of the S wave in the Q-R-S wave group to the beginning of theT wave. Under normal conditions, there is no obvious waveform change. Whether there is any change in the S-T segment in the clinic should be observed at about 0.068 ∼ 0.08s after the connecting point between the S wave and T wave.(5)
T wave: ventricular repolarization wave: it represents the potential changes of ventricular myocytes when they change from the impulsive state to recovery state from the Q-R-S wave group after the end of a wave crest upward wave [10].(6)
Q-T interval: from the beginning of the Q-R-S wave group to the end of theT wave: the length of the Q-T interval depends on the change of heart rate, and there is a negative correlation between the Q-T interval and heart rate. In addition to that the change of heart rate will lead to the lengthening of the Q-T interval, age, gender, and other conditions will also lead to the change of the Q-T interval. In general, if the heart rate is about 75 beats/min, the corresponding Q-T interval is about 0.3 s∼0.4 s.Analyzing the change of the Q-T interval in the signal collection of the physiological signal center can play an auxiliary role in studying the influence of psychological stress on the heart. Since the Q-T interval is greatly affected by heart rate, it is necessary to eliminate individual differences. The revised Q-T interval is often used, which needs psychological correction [11]; that is to say,(1)QTv=RUP.In the formula,QTv represents the revised Q-T interval; QT represents the Q-T interval of the ECG signal; and U P represents the R-R interval of the ECG signal.In ECG signal acquisition, the ECG signal of the captured human body is transmitted to the lead line interface through the cardiac conductivity line and then input into the ECG signal processing circuit. The signal processing circuit amplifies the signal successively, passes through the high pass filter, then amplifies, and then, filters through the low pass. Finally, the digital signal is input to a PC through the serial port. The digital ECG signal uploaded is further analyzed by manual operation, and the final judgment result is obtained [12]; the process of ECG signal acquisition is shown in Figure 1.Figure 1
Collection process of human ECG signal.Based on the abovementioned ECG signals, skin electrical impedance is also an important signal to reflect human mental health. As the signal is more abstract, the signal acquisition in this paper is completed by designing the signal acquisition circuit. In the design of a skin electrical impedance signal acquisition circuit, one end of the device is in contact with the human body, while the other end of the device is connected with the power grid. The sudden high voltage and large current of the power grid is a fatal threat to the human body. To prevent accidents, it is necessary to have an electrical safety isolation structure in the circuit. According to the characteristics of skin electrical impedance, the preamplifier filter circuit is an important part of the design of the skin electrical impedance acquisition circuit [13]. The high performance of the circuit requires that the relevant parameters of the circuit not only meet the relevant national electrical safety standards but also have outstanding advantages. To reduce the loss of signal, the input impedance should be high enough; the common-mode rejection ratio (CMRR) is much higher than the standard level to ensure the purity and integrity of the signal; In addition, the design of hardware filtering parameters should consider the effective frequency range of the actual signal and the combination of software filtering parameters. According to the requirements of circuit parameters, the circuit is designed. The main framework includes a front-end circuit module (including a front-end amplifier, high-pass filter, back-end amplifier, and low-pass filter), a/D conversion module, power supply module, serial circuit module, and electrical isolation module. According to the performance requirements and the correlation of the internal parameters of the circuit, the circuits in each functional module are designed in detail.Because the influence of the common-mode signal on each part of the acquisition circuit is the same, the common interference signal can be eliminated by using the differential circuit, that is, subtracting the two signals, to keep the valuable signal. So, the primary amplifier circuit is set as a differential circuit. Because the skin lead is closer to the heart than the limb lead, the collected signal is closer to the original ECG signal, and the amount of information is relatively large, so in the design of the system, the LF lead input signal of the left leg lead, which is far away from the heart and has a relatively small influence on the skin, is selected as the reference path to collect the skin electrical impedance signal [14]. The skin electrical impedance signal acquisition circuit is shown in Figure 2.Figure 2
Acquisition circuit of skin resistance signal.In the skin electrical impedance signal acquisition circuit, the primary magnification and the secondary magnification are calculated according to formula (2), the amplification of the whole circuit can be obtained, and the accuracy of the acquisition of skin resistance signal can be guaranteed; that is,(2)Y=1+UiU0.In the formula,Y represents the skin impedance signal acquisition results, Ui represents the skin impedance signal acquisition, and U0 represents the initial signal of skin impedance signal acquisition.In the physiological signal acquisition, this study mainly collects the ECG signal and skin electrical impedance signal which can reflect the state of mental health. In the ECG signal acquisition, the captured human ECG signal is transmitted to the lead line interface through the ECG lead. In the skin electrical impedance signal acquisition, the primary and secondary magnification of the acquisition circuit is adjusted and accurate skin electrical impedance signal is output.


## 2.2. Feature Extraction of Mental State Signal

Based on the abovementioned physiological signals, to realize the effective recognition of mental health state, we need to extract the characteristics of these signal data, so that different characteristics reflect different states. In this study, the sliding window method is used to extract physiological signal features. The physiological signal dataset and the corresponding time are divided into several segments, and then, for each physiological signal, the physiological signal data in the sliding window are calculated to form the eigenvalue sequence; that is,(3)R=Val−mVal3SVal3.In the formula, Val represents the characteristic value of the physiological signals;R represents the vibrational energy, namely, the distribution of power in the frequency domain. Because the changes of physiological signals are often random and irregular, S, by some transformation, the time domain signal of random vibration is converted into a frequency-domain signal, and the composite waveforms which appear continuously and contain the same frequency are decomposed to calculate the wave components of the same frequency.In this paper, the energy of physiological signal heart rate variability in a specific frequency band (0 ∼ 0.008 hz, 0.003 ∼ 0.040 hz, 0.01 ∼ 0.15 hz, and 0.15 ∼ 0.1 Hz) is analyzed [15]. The corresponding physiological signal data were separated from ECG to mark the important indexes of heart rate interval change; the S representing the percentage of absolute difference of the heartbeat interval with the continuous heartbeat interval more than 50 ms is converted into percentage and standardized by dividing the total heartbeat number by the heartbeat times with the difference between two heartbeat times more than 50 ms, to determine the electrical signal characteristics of physiological signal center.In this paper, the interval spectrum is used to extract the HRV waveform, based on the R-wave detection of physiological signals, the number of sampling points between two adjacent wave peaks is set as N, and then, there exists(4)U=Qn+1−Qn.The sampling frequency of the physiological signal is set as F, the sampling interval isT, and then, there exists(5)T=1F.UsingT with N, the R-R interval t of the physiological signal was calculated; that is, the feature can be represented as(6)t=T∑F×N.According to the abovementioned analysis, the initial value of the signal characteristic is obtained as follows:(7)fHRV=∑T60time.In the formula,fHRV represents the signal characteristic initial value.In the feature of the mental state signal, the sliding window method is used to divide the physiological signal dataset and the corresponding time into several segments. Then, for each physiological signal, the physiological signal data in the sliding window are calculated to form the eigenvalue sequence. On this basis, according to the heart rate variability of the physiological signal, the HRV waveform is extracted by the interval spectrum and the mental state signal characteristics are completed.


## 2.3. Mental Health State Detection Model

According to the abovementioned physiological signals of the mental state, the mental state detection model is constructed. Firstly, the R-R interval of the ECG signal is analyzed by discrete trend analysis, and the HRV signal was quantitatively evaluated by calculating the statistical index of the R-R interval sequence of the ECG signal.(1)
The determination of physiological signal centrality index is as follows:(8)HR=60v.In the formula,H R represents the heart rate index and v represents heart beating time.(2)
The average value of the R-R interval of adjacent signals is(9)RMSSD=∑i=1nHR−Ri2N.In the formula,RMSSD represents the mean value of the adjacent signal R-R interval and Ri represents the adjacent physiological signal values.(3)
In physiological signals, the index of adjacent signals can be expressed as(10)P=bniNN50.In the formula,NN50represents the difference of the adjacent R-R intervals greater than 50 ms for the percentage of all R-R intervals.The abovementioned mental health index data are used to build a mental health state detection model by support vector machine. In the research of mental health with a small sample size, how to achieve more accurate state detection has become a problem to be solved in this field; in this study, SVM (support vector machine) is used. For linear separable data types, the SVM algorithm aims to find an optimal classification hyperplane, which can meet the maximum blank area on both sides of the hyperplane while ensuring the data classification requirements and accuracy. Taking the two-dimensional space as an example, the two types of figures represent different types of training samples. If H1 and H2 are the boundary lines passing through the edge points of the two types of figures and with the largest interval, the line H with the same distance from the two lines is considered as the optimal classification line. In addition, if two kinds of sample points cannot be classified effectively by a hyperplane, the SVM algorithm maps the data to a higher dimension space to solve the optimal hyperplane. This can effectively limit the fitting and realize the detection of mental health.It is assumed that the set of mental state signal points in the physiological signal space of mental health state isxi,yi,i=1,2,3.... These signals are regarded as a linear discriminant function, and it can be expressed as(11)Hx=zTX+b.In the formula,Hx represents a signal linear discriminant function for the mental health state, which represents the bias factor.At this point, the classification surface equation of the abovementioned mental health state signal set is as follows:(12)Hx′=zTX′+b.At this time, the discriminant function of the mental health state signal is normalized to avoid the nonlinear disturbance of the mental health state signal in the detection process, and the signal samples of mental health state satisfiedHx′>1. If we want to realize the correct recognition of mental health state signals, we need to set the restrictions as follows:(13)yizTX+b−1≥0.According to the restriction conditions of mental health state signal recognition determined above, each signal data are divided into intervals, to obtain(14)Margin=2z.Because there are some errors in the division of the physiological signal interval of mental health state, to achieve the accuracy of state recognition, just as Lagrange function controls the change of the physiological signal, which is(15)LX=12ZTZ−γ∑i=1nyizTX+bμ.In the formula,γ represents the Lagrange system values and μ represents the function minimum. According to the abovementioned classification and control, the detection of human mental health is essentially the detection of physiological signals. Therefore, after the physiological signal state index is determined, the mental health state detection model is constructed according to the index system, to obtain(16)DX=∑i=1n12LXϑ.In the formula,ϑ represents the proportional factor present in the detection.According to the abovementioned mental health status detection model, the physiological signal changes were detected. Due to the continuous changes of physiological signals, the results obtained by the model of mental health status detection are not the only optimal solution. Therefore, the optimal solution of the detection model needs to be solved, to obtain(17)K∗=δ∑i=1naiDXσ.In the formula,ai represents the optimal solution greater than 0, δ represents support vectors, and σ represents the mental health status eigenvalues obtained.The R-R interval characteristics of ECG signals were analyzed by discrete trend analysis in statistics, and the statistical indexes of the R-R interval sequence of physiological signals were calculated to quantitatively evaluate HRV signals. On this basis, the physiological signals of mental state were classified by support vector machine, and the discriminant functions of mental health signals were normalized; according to the index system, the mental health state detection model is constructed, and the optimal solution of the model is obtained through the optimization function to complete the detection of mental health state.


## 3. Experimental Analysis

### 3.1. Experimental Environment

To verify that the proposed method can effectively detect human mental health status, an experimental analysis is carried out. In the experiment, 5 men and 5 women aged 10–17, 5 men and 5 women aged 18–35, and 5 men and 5 women aged 36–50 were selected to test the mental health status of 30 people in these three age groups. In the process of detection, the heart rate of the sampling personnel is obtained with the help of the ECG test instrument, and the skin impedance value of the sampling personnel is tested with the help of the skin temperature test instrument. Different scenes are set to test the mental state changes of the sampling personnel when they encounter different scenes. The local picture of the experimental environment is shown in Figure3.Figure 3
Experimental environment.


### 3.2. Experimental Parameters

In this paper, 100 samples of physiological signal data of the abovementioned testers are collected, and the training set and test set are set to the state of 1 : 1. The data of sample state after training meet the requirements of the experiment, and the physiological signal information obtained is divided into two categories: one is normal mental health information, and the other is abnormal mental health information. These two kinds of data are mixed and tested by different methods to verify the effectiveness of the method.


### 3.3. Experimental Result Analysis

#### 3.3.1. Error Analysis of Mental Health State Detection in Different Models

Mental health state detection error is an important index to measure the effectiveness of the detection model. To realize the effectiveness of this model, the model of this study is analyzed experimentally with the model in [5] and the model in [6], application of deep residual network in the pulse signal subhealth detection model, the data of the psychological state of samples were tested, and the experimental results are shown in Figure 4.Figure 4
Comparison of mental health state detection errors of different models.By analyzing the experimental data in Figure4, it can be seen that using the model and the model in [5] and the model in [6], application of deep residual network in the pulse signal subhealth detection model, there are some differences in the error of sample mental health data. Among them, the detection error of this model is always less than 2%, while the detection error of the other two detection models is always higher than that of this method. This is because this method extracts specific physiological signals and processes them in detail, which effectively improves the detection accuracy of this model.


#### 3.3.2. Time Cost Analysis of Mental Health State Detection in Different Models

The time cost of mental health state detection is an important part to reflect the speed of the detection model. To realize the validity of this model, this model and the model in [5] and the model in [6], application of deep residual network in the pulse signal subhealth detection model, are analyzed experimentally, the mental state data of the samples were detected, and the experimental results are shown in Figure 5.Figure 5
Time cost analysis of mental health state detection in different models.By analyzing the experimental data in Figure5, it can be seen that, adopting this paper model and the model in [5] and the model in [6], application of deep residual network in the pulse signal subhealth detection model, there are differences in the time consumption of sample mental health data testing. Among them, the time consumption of this study’s model is less than that of the model in [6], application of deep residual network in the pulse signal subhealth detection model, the model in [5] takes the most time to detect, and the time of model checking is less than 30s, which verifies the effectiveness of the method.


## 3.1. Experimental Environment

To verify that the proposed method can effectively detect human mental health status, an experimental analysis is carried out. In the experiment, 5 men and 5 women aged 10–17, 5 men and 5 women aged 18–35, and 5 men and 5 women aged 36–50 were selected to test the mental health status of 30 people in these three age groups. In the process of detection, the heart rate of the sampling personnel is obtained with the help of the ECG test instrument, and the skin impedance value of the sampling personnel is tested with the help of the skin temperature test instrument. Different scenes are set to test the mental state changes of the sampling personnel when they encounter different scenes. The local picture of the experimental environment is shown in Figure3.Figure 3
Experimental environment.


## 3.2. Experimental Parameters

In this paper, 100 samples of physiological signal data of the abovementioned testers are collected, and the training set and test set are set to the state of 1 : 1. The data of sample state after training meet the requirements of the experiment, and the physiological signal information obtained is divided into two categories: one is normal mental health information, and the other is abnormal mental health information. These two kinds of data are mixed and tested by different methods to verify the effectiveness of the method.


## 3.3. Experimental Result Analysis

### 3.3.1. Error Analysis of Mental Health State Detection in Different Models

Mental health state detection error is an important index to measure the effectiveness of the detection model. To realize the effectiveness of this model, the model of this study is analyzed experimentally with the model in [5] and the model in [6], application of deep residual network in the pulse signal subhealth detection model, the data of the psychological state of samples were tested, and the experimental results are shown in Figure 4.Figure 4
Comparison of mental health state detection errors of different models.By analyzing the experimental data in Figure4, it can be seen that using the model and the model in [5] and the model in [6], application of deep residual network in the pulse signal subhealth detection model, there are some differences in the error of sample mental health data. Among them, the detection error of this model is always less than 2%, while the detection error of the other two detection models is always higher than that of this method. This is because this method extracts specific physiological signals and processes them in detail, which effectively improves the detection accuracy of this model.


### 3.3.2. Time Cost Analysis of Mental Health State Detection in Different Models

The time cost of mental health state detection is an important part to reflect the speed of the detection model. To realize the validity of this model, this model and the model in [5] and the model in [6], application of deep residual network in the pulse signal subhealth detection model, are analyzed experimentally, the mental state data of the samples were detected, and the experimental results are shown in Figure 5.Figure 5
Time cost analysis of mental health state detection in different models.By analyzing the experimental data in Figure5, it can be seen that, adopting this paper model and the model in [5] and the model in [6], application of deep residual network in the pulse signal subhealth detection model, there are differences in the time consumption of sample mental health data testing. Among them, the time consumption of this study’s model is less than that of the model in [6], application of deep residual network in the pulse signal subhealth detection model, the model in [5] takes the most time to detect, and the time of model checking is less than 30s, which verifies the effectiveness of the method.


## 3.3.1. Error Analysis of Mental Health State Detection in Different Models

Mental health state detection error is an important index to measure the effectiveness of the detection model. To realize the effectiveness of this model, the model of this study is analyzed experimentally with the model in [5] and the model in [6], application of deep residual network in the pulse signal subhealth detection model, the data of the psychological state of samples were tested, and the experimental results are shown in Figure 4.Figure 4
Comparison of mental health state detection errors of different models.By analyzing the experimental data in Figure4, it can be seen that using the model and the model in [5] and the model in [6], application of deep residual network in the pulse signal subhealth detection model, there are some differences in the error of sample mental health data. Among them, the detection error of this model is always less than 2%, while the detection error of the other two detection models is always higher than that of this method. This is because this method extracts specific physiological signals and processes them in detail, which effectively improves the detection accuracy of this model.


## 3.3.2. Time Cost Analysis of Mental Health State Detection in Different Models

The time cost of mental health state detection is an important part to reflect the speed of the detection model. To realize the validity of this model, this model and the model in [5] and the model in [6], application of deep residual network in the pulse signal subhealth detection model, are analyzed experimentally, the mental state data of the samples were detected, and the experimental results are shown in Figure 5.Figure 5
Time cost analysis of mental health state detection in different models.By analyzing the experimental data in Figure5, it can be seen that, adopting this paper model and the model in [5] and the model in [6], application of deep residual network in the pulse signal subhealth detection model, there are differences in the time consumption of sample mental health data testing. Among them, the time consumption of this study’s model is less than that of the model in [6], application of deep residual network in the pulse signal subhealth detection model, the model in [5] takes the most time to detect, and the time of model checking is less than 30s, which verifies the effectiveness of the method.


## 4. Conclusions

With the increasing social pressure, the psychological pressure of human beings is becoming bigger, which is of great significance to the detection of the human mental state. Therefore, this study proposes a mental health status detection model based on physiological signals. The ECG signal and skin electrical impedance signal reflecting the state of mental health are collected. The sliding window method is used to divide the physiological signal dataset and the corresponding time into several segments, and then, the physiological signal data in the sliding window are calculated for each physiological signal to form the eigenvalue sequence. According to the heart rate variability of physiological signals, the HRV waveform was extracted by the interval spectrum; through the discrete trend analysis in statistics, the change characteristics of ECG signals are analyzed, and the sequence statistical indexes of physiological signals are calculated. With the help of a support vector machine, the physiological signals of mental state are classified, and the discriminant function of the signals of a mental health state is normalized. According to the index system, the detection model of a mental health state is constructed, and the optimal solution of the model is obtained through the optimization function to complete the detection of the mental health state. The experimental results show that the error of the method is small and the time consumption is short. Although the method has some significance, there are still many shortcomings. For example, the sample data extraction of human physiological signals is limited. It will expand the number of samples in future research and improve the accuracy of the detection model.



---

*Source: 8544750-2021-10-20.xml*