# Sports Feedback System Based on Video Digital Processing

Authors: Lei Wang
Journal: Computational and Mathematical Methods in Medicine
 (2022)

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## Abstract

The current sports feedback system has high application value and is widely used in physical education courses, but it has problems such as large feedback error, long response time, and incomplete data, leading to poor effect of sports feedback system. In order to improve the effectiveness of sports feedback system, a sports feedback system based on video digital processing is designed. By constructing the overall architecture of video digital sports feedback system, the positioning module, interface module, power supply circuit module, sampling module, input module, signal extraction module, and video digital processing module are designed. Using information communication mechanism, TCP/IP network protocol, serial communication, and shared memory to improve video digital processing, experimental results show that the designed system has good error convergence of 0.1, short response time of 32 s, and high data integrity of 94%, which has strong practicability.


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## Body

## 1. Introduction

Physical education curriculum is an important carrier for students to learn various physical education skills. However, due to the professional characteristics of physical education curriculum, no matter how to improve the blood adding classroom links, it cannot change the relatively monotonous current situation of physical education teaching content. The national physical education curriculum standard requires the combination of information technology and physical education teaching, which is the general trend of physical education teaching reform. I do not think physical education teachers should conduct in-depth research and practice in this direction [1]. At present, information technologies closely related to physical education include Internet of things technology, wearable intelligent technology, VR technology, and sports feedback system. However, software platform developers in education pay more attention to the research of other disciplines and invest less in the research of information technology in the field of sports. Generally [2], the traditional sports model has the characteristics of “one size fits all.” Teachers are used to guiding students to participate in sports in the form of gymnastics and running, and then affected by the difference of students’ physical quality, this sports model is often difficult to effectively supervise the sports behavior of different students, students’ sports are only limited to the classroom, and it is difficult to give full play to the effectiveness of sports. Therefore, a sports feedback system based on video digital processing is proposed and designed.


## 2. Overall System Structure

In the design of the sports feedback system, firstly, the overall architecture of the system is designed and shows the overall architecture of the system in the overall architecture design. The design of the whole sports feedback system is realized by using the system development method of multiprocess and multithread on the computer. It includes user information database, data logging/storage, feature extraction and classification algorithms, writing and testing, control and feedback interface display. The interface framework of the sports feedback system is shown in Figure1. The black arrow in the figure indicates the calling direction, and the double-line summary arrow represents the control and data transmission direction between modules [3–7]. When sports feedback is carried out, the process of data acquisition, storage and signal processing, feedback, and control will be started. These three processes constitute the whole sports feedback system. In the process of data recording, storage, and signal processing, CPU multithreading mechanism is used to start an EEG data recording, storage thread, and signal processing thread. The data acquisition thread accumulates and collects data and provides accurate sports feedback timing function for the feedback system through the sampling time interval of the amplifier, including preparation time, task time, and rest time. When the data acquisition reaches the accumulation of task time window, the data will be shared to the signal processing thread by the method of synchronization between sports threads to extract the features and classify the sports data. According to the selected feedback mode, in the feedback and control process, the classifier output results and collected sports data are transmitted to the feedback and control process through the message mechanism of the computer and the communication mode of shared memory [8–11]. The feedback mode and device control process are responsible for the presentation of graphics interface and the transmission of control commands. When the training is over, close the whole program, and all processes and threads in the program will be destroyed. The feedback system will automatically save the data during the training and store it in the disk for offline analysis.Figure 1
Structure block diagram of the sports feedback system.The block diagram shown in Figure1 shows the sports feedback system interface. The specific task flow of each experiment includes sports offline feedback and sports online feedback test training. The offline training is mainly to obtain the sports parameters, filter parameters, and LDA model parameters of the tested specific frequency band and then load these parameters for test training during online test [12]. Among them, the offline training will carry out the transmission sports feedback task, and the online test training will carry out the sports tasks under different feedback modes.


## 3. Hardware Design

### 3.1. Positioner Module

The positioner uses a large capacity mobile battery of 6000 Ma and can work for 6000 days with the support of MM32L073PF low-power single-chip microcomputer. In addition, the positioner has 4 relocation calibration function, with an accuracy of 99.99%, so as to avoid wrong positioning and ensure the high efficiency of the positioning system [13–15]. The positioner has built-in IPX5 waterproof and antielectric function, which can eliminate all external interference and ensure the accuracy of positioning information. The most important thing is that the locator has 5.4 million full network coverage of the base station and can provide full wireless signal coverage for any remote area. The circuit diagram of the positioner is shown in Figure 2 below.Figure 2
Circuit diagram of positioner.


### 3.2. Interface Design

In the hardware design, the access of different modules is very important. Therefore, the interface is designed to facilitate the effective access of other hardware. In the hardware area of the wide area real-time precision positioning system, the correlation of various devices is very important. Therefore, this paper specially designs different types of interfaces to complete the device connection, so as to ensure the efficiency of the system and the security of information transmission [16]. In the device interface, considering the requirements of hardware and software area, this paper mainly designs mobile interface, intelligent interface, and RTCM interface. The mobile port is e-SATA, which has a high transmission speed. The smart port is an HDMI port. The model is TEVA0R4V05D4X. The junction capacitance is 0.4 pF, and the package is DFN2510. ADG333ABRSZ-REEL multiplexer is selected for RTCM interface. The interface is shown in Figure 3 below.Figure 3
Hardware interface.According to Figure3, all interfaces comply with the differential parameter broadcasting protocol. In order to facilitate the information call between various devices, all interfaces have the authority to automatically change the data format, and the format is unified. Mobile interface and intelligent interface are the most common interfaces. The main difference is that they are reasonably allocated according to the functions of devices [17, 18]. The data transmission rate of this interface can reach 700 bps. The interface transmission frequency band adopts B3 frequency band, and the working frequency of the interface is 3700 MHz. RTCM interface is used for wireless hopping in hardware area and software area. The modulation mode of the interface is BPSK, the transmission bandwidth is 20 MHz, and the information transmission rate is 2000 BPS, which is used for precision positioning service.


### 3.3. Power Module Circuit

The power module of the system is mainly composed of rectifier circuit, coil, and power chip. There is a power module NAMO3S06-A non-isolated DC-DC module with high density, high efficiency and high integration. In the process of system operation, it has the advantages of input undervoltage protection, output overvoltage protection, output overcurrent protection, output short circuit protection, and overtemperature protection. The circuit of the power module is shown in Figure4.Figure 4
Power module circuit diagram.As shown in Figure4, the input of the power module is directly connected with AC voltage. AC voltage first passes through the rectifier bridge. After AC passes through the rectifier bridge, DC voltage with uneven waveform is generated. The DC voltage is connected to the wire package. The transformer is composed of three wire packages [19]. The decibels are wire package 1, wire package 2, and wire package 3. The working cycle is divided into two parts: on and off. Conduction cycle: when wire package 1 is connected for the first time, electromagnetic induction is generated due to DC from scratch. The electromotive force causes wire package 2 and wire package 3 to generate a voltage. The induced voltage generated by wire package 2 is connected to the VDD end of VIPER22A chip to supply power to the chip. At the same time, the induced electromotive force generated by wire package 3 generates a DC voltage with good waveform after secondary tube and π rectification. One end of the voltage is connected to the input end of the optocoupler, and the other end is matched with the resistance on TL431 to form a zener diode. The input voltage of the optocoupler is compared with the voltage value of the input terminal of TL431. If the voltage value of the former is relatively large, the optocoupler is on, and the optocoupler is not on alone. The output end of the optocoupler is connected to the FB end of vip22a to control the conduction of the drain. Thus, the input end of the input wire package 1 is grounded and can be turned on [20]. This is a complete conduction. In addition, when the voltage value generated by electromagnetic induction is greater than the target output voltage, the voltage at the output end of TL431 will be greater than the output voltage of wire package 3, so that the optocoupler is turned off. At this time, the feedback input FB voltage of vip22a is 0, and the chip cannot be used. The wire package 1 cannot be turned on; so, the induced electromotive force cannot be generated, and the output voltage of the wire package 3 decreases. Let us talk about the shutdown cycle. When wire package 1 completes a voltage input, at this time, the induced electromotive force generated by wire package 2 and wire package 3 gradually attenuates because the DC voltage cannot generate electromagnetic induction in the transformer coil. When package 2 attenuates, the VDD power supply voltage of vip22a attenuates. When package 3 attenuates, the voltage at the feedback input FB terminal of vip22a also attenuates accordingly. At this time, the wire package 1 cannot realize the path with the ground wire, and the voltage of the wire package 1 is turned off. After turning off for a moment, the transformer package returns to the initial state. At this time, the output voltage of the rectifier bridge is connected to package 1 again, and the starting work is repeated [21]. Repeat the operation at a certain range of frequencies to form a self-excitation circuit. Thus, the source end of the wire package passes through π rectification to produce stable 12VDC. 12VDC is converted into 5VDC through the voltage transformation of 7805 chip.Moreover, the input voltage of the voltage regulator is a 0-300 V converted AC, and the working range of the voltage regulator is 90v-280v. Therefore, the power rectifier circuit must stably supply power to the single chip microcomputer control circuit at the lowest 90 V. The self-excited oscillation circuit can meet the secondary requirements.


### 3.4. Sampling Circuit

The sampling circuit chooses embedded firefly-RK3399 ARM motherboard, which has the characteristics of high performance, low-cost, and ground power consumption. ARM embedded motherboard has fast computing speed and short development cycle. High-end embedded motherboard based on ARM architecture greatly improves the computing speed and can meet the requirements of sports feedback system. The sampling circuit is shown in Figure5.Figure 5
sampling circuit diagram.Figure5 shows the A/D sampling circuit of the voltage regulator composed of two-stage operational amplifier. The first stage is the voltage follower. After resistance voltage division, 5 V DC voltage becomes 3 V DC voltage input operational amplifier, and the output voltage is still 3 V. The voltage is used as the voltage reference and input to the “+” terminal of the second stage operational amplifier. The second stage operational amplifier is negative feedback. The output voltage of the operational amplifier and the wallpaper of the input voltage at the “+” end can be matched according to the resistance [22]. After resistance matching, take 220 V AC input as an example, the output voltage is 1 V AC after the proportion is reduced. Then, due to the rising DC voltage of “+” stage, the output voltage is finally the AC voltage with 1.5 V as the horizontal axis. After filtering, it is input into the A/D sampling port of single chip microcomputer. This voltage is completely within the readable range of stc15 single chip microcomputer.In addition, in the sampling process, an external AC transformer is connected to convert the input AC current value into AC voltage value, which is input into the A/D sampling inlet of single chip microcomputer after operational amplifier filtering [23]. However, it is filtered before entering the A/D port.


### 3.5. Input Module

Input module choose OMron PLC communication module CP1W-CIF01, 232 communication port, equipped with master station and slave station function, each master station control up to 32000 points. In the input module, it is necessary to complete effective video capture, light color separation, parity field judgment [24], system judgment, and so on. The frame diagram of input module is shown in Figure 6.Figure 6
Input module workflow flow chart.The function of video input is clock domain isolation to complete the clock domain conversion of the input clock domain video clock. After the clock domain isolation is completed, the synchronous extraction of data signals is carried out, because the video information is in the synchronization byte, that is, the timing reference byte. After extracting the synchronization byte, the state judgment module judges that it is a pal or NTSC TV signal and completes the judgment of base pair field. The test screen module is actually a fixed array, which stores a user-defined test image for detecting and debugging the system [25]. MUX multiplexer judges whether to output video signal or test signal according to the control signal, and its output is sent to the effective data extraction module. The extraction module extracts the effective video signal according to the information of TV system and parity field, separates the brightness data and chroma data, and transmits it to the back-end processing module [26].


### 3.6. Synchronous Signal Extraction Module

The synchronous signal extraction module includes SN74LS194N shift register and LM293ADR TI differential comparator. The synchronization signal extraction module synchronizes according to the timing reference signal carried in the standard video data. The timing reference byte in the synchronization byte contains important video information, such as the real point of each frame and the starting point of a new line [27]. The extracted synchronization bytes are characterized by synchronization flag and then sent to the back-end state analysis module for analysis. For most video decoding chips, the output format uses 656 formats [28]. 656 format is a kind of video output format of international Telecommunication Union protocol, which is less than the bit output of 601 format for decoding video signal of sports feedback system, and can reduce the response time of the system. 656 format does not need synchronization signal, through serial data transmission, first Y, then UV, line field synchronization signal embedded in the data stream, and the output rate is twice as fast as 601.


## 3.1. Positioner Module

The positioner uses a large capacity mobile battery of 6000 Ma and can work for 6000 days with the support of MM32L073PF low-power single-chip microcomputer. In addition, the positioner has 4 relocation calibration function, with an accuracy of 99.99%, so as to avoid wrong positioning and ensure the high efficiency of the positioning system [13–15]. The positioner has built-in IPX5 waterproof and antielectric function, which can eliminate all external interference and ensure the accuracy of positioning information. The most important thing is that the locator has 5.4 million full network coverage of the base station and can provide full wireless signal coverage for any remote area. The circuit diagram of the positioner is shown in Figure 2 below.Figure 2
Circuit diagram of positioner.


## 3.2. Interface Design

In the hardware design, the access of different modules is very important. Therefore, the interface is designed to facilitate the effective access of other hardware. In the hardware area of the wide area real-time precision positioning system, the correlation of various devices is very important. Therefore, this paper specially designs different types of interfaces to complete the device connection, so as to ensure the efficiency of the system and the security of information transmission [16]. In the device interface, considering the requirements of hardware and software area, this paper mainly designs mobile interface, intelligent interface, and RTCM interface. The mobile port is e-SATA, which has a high transmission speed. The smart port is an HDMI port. The model is TEVA0R4V05D4X. The junction capacitance is 0.4 pF, and the package is DFN2510. ADG333ABRSZ-REEL multiplexer is selected for RTCM interface. The interface is shown in Figure 3 below.Figure 3
Hardware interface.According to Figure3, all interfaces comply with the differential parameter broadcasting protocol. In order to facilitate the information call between various devices, all interfaces have the authority to automatically change the data format, and the format is unified. Mobile interface and intelligent interface are the most common interfaces. The main difference is that they are reasonably allocated according to the functions of devices [17, 18]. The data transmission rate of this interface can reach 700 bps. The interface transmission frequency band adopts B3 frequency band, and the working frequency of the interface is 3700 MHz. RTCM interface is used for wireless hopping in hardware area and software area. The modulation mode of the interface is BPSK, the transmission bandwidth is 20 MHz, and the information transmission rate is 2000 BPS, which is used for precision positioning service.


## 3.3. Power Module Circuit

The power module of the system is mainly composed of rectifier circuit, coil, and power chip. There is a power module NAMO3S06-A non-isolated DC-DC module with high density, high efficiency and high integration. In the process of system operation, it has the advantages of input undervoltage protection, output overvoltage protection, output overcurrent protection, output short circuit protection, and overtemperature protection. The circuit of the power module is shown in Figure4.Figure 4
Power module circuit diagram.As shown in Figure4, the input of the power module is directly connected with AC voltage. AC voltage first passes through the rectifier bridge. After AC passes through the rectifier bridge, DC voltage with uneven waveform is generated. The DC voltage is connected to the wire package. The transformer is composed of three wire packages [19]. The decibels are wire package 1, wire package 2, and wire package 3. The working cycle is divided into two parts: on and off. Conduction cycle: when wire package 1 is connected for the first time, electromagnetic induction is generated due to DC from scratch. The electromotive force causes wire package 2 and wire package 3 to generate a voltage. The induced voltage generated by wire package 2 is connected to the VDD end of VIPER22A chip to supply power to the chip. At the same time, the induced electromotive force generated by wire package 3 generates a DC voltage with good waveform after secondary tube and π rectification. One end of the voltage is connected to the input end of the optocoupler, and the other end is matched with the resistance on TL431 to form a zener diode. The input voltage of the optocoupler is compared with the voltage value of the input terminal of TL431. If the voltage value of the former is relatively large, the optocoupler is on, and the optocoupler is not on alone. The output end of the optocoupler is connected to the FB end of vip22a to control the conduction of the drain. Thus, the input end of the input wire package 1 is grounded and can be turned on [20]. This is a complete conduction. In addition, when the voltage value generated by electromagnetic induction is greater than the target output voltage, the voltage at the output end of TL431 will be greater than the output voltage of wire package 3, so that the optocoupler is turned off. At this time, the feedback input FB voltage of vip22a is 0, and the chip cannot be used. The wire package 1 cannot be turned on; so, the induced electromotive force cannot be generated, and the output voltage of the wire package 3 decreases. Let us talk about the shutdown cycle. When wire package 1 completes a voltage input, at this time, the induced electromotive force generated by wire package 2 and wire package 3 gradually attenuates because the DC voltage cannot generate electromagnetic induction in the transformer coil. When package 2 attenuates, the VDD power supply voltage of vip22a attenuates. When package 3 attenuates, the voltage at the feedback input FB terminal of vip22a also attenuates accordingly. At this time, the wire package 1 cannot realize the path with the ground wire, and the voltage of the wire package 1 is turned off. After turning off for a moment, the transformer package returns to the initial state. At this time, the output voltage of the rectifier bridge is connected to package 1 again, and the starting work is repeated [21]. Repeat the operation at a certain range of frequencies to form a self-excitation circuit. Thus, the source end of the wire package passes through π rectification to produce stable 12VDC. 12VDC is converted into 5VDC through the voltage transformation of 7805 chip.Moreover, the input voltage of the voltage regulator is a 0-300 V converted AC, and the working range of the voltage regulator is 90v-280v. Therefore, the power rectifier circuit must stably supply power to the single chip microcomputer control circuit at the lowest 90 V. The self-excited oscillation circuit can meet the secondary requirements.


## 3.4. Sampling Circuit

The sampling circuit chooses embedded firefly-RK3399 ARM motherboard, which has the characteristics of high performance, low-cost, and ground power consumption. ARM embedded motherboard has fast computing speed and short development cycle. High-end embedded motherboard based on ARM architecture greatly improves the computing speed and can meet the requirements of sports feedback system. The sampling circuit is shown in Figure5.Figure 5
sampling circuit diagram.Figure5 shows the A/D sampling circuit of the voltage regulator composed of two-stage operational amplifier. The first stage is the voltage follower. After resistance voltage division, 5 V DC voltage becomes 3 V DC voltage input operational amplifier, and the output voltage is still 3 V. The voltage is used as the voltage reference and input to the “+” terminal of the second stage operational amplifier. The second stage operational amplifier is negative feedback. The output voltage of the operational amplifier and the wallpaper of the input voltage at the “+” end can be matched according to the resistance [22]. After resistance matching, take 220 V AC input as an example, the output voltage is 1 V AC after the proportion is reduced. Then, due to the rising DC voltage of “+” stage, the output voltage is finally the AC voltage with 1.5 V as the horizontal axis. After filtering, it is input into the A/D sampling port of single chip microcomputer. This voltage is completely within the readable range of stc15 single chip microcomputer.In addition, in the sampling process, an external AC transformer is connected to convert the input AC current value into AC voltage value, which is input into the A/D sampling inlet of single chip microcomputer after operational amplifier filtering [23]. However, it is filtered before entering the A/D port.


## 3.5. Input Module

Input module choose OMron PLC communication module CP1W-CIF01, 232 communication port, equipped with master station and slave station function, each master station control up to 32000 points. In the input module, it is necessary to complete effective video capture, light color separation, parity field judgment [24], system judgment, and so on. The frame diagram of input module is shown in Figure 6.Figure 6
Input module workflow flow chart.The function of video input is clock domain isolation to complete the clock domain conversion of the input clock domain video clock. After the clock domain isolation is completed, the synchronous extraction of data signals is carried out, because the video information is in the synchronization byte, that is, the timing reference byte. After extracting the synchronization byte, the state judgment module judges that it is a pal or NTSC TV signal and completes the judgment of base pair field. The test screen module is actually a fixed array, which stores a user-defined test image for detecting and debugging the system [25]. MUX multiplexer judges whether to output video signal or test signal according to the control signal, and its output is sent to the effective data extraction module. The extraction module extracts the effective video signal according to the information of TV system and parity field, separates the brightness data and chroma data, and transmits it to the back-end processing module [26].


## 3.6. Synchronous Signal Extraction Module

The synchronous signal extraction module includes SN74LS194N shift register and LM293ADR TI differential comparator. The synchronization signal extraction module synchronizes according to the timing reference signal carried in the standard video data. The timing reference byte in the synchronization byte contains important video information, such as the real point of each frame and the starting point of a new line [27]. The extracted synchronization bytes are characterized by synchronization flag and then sent to the back-end state analysis module for analysis. For most video decoding chips, the output format uses 656 formats [28]. 656 format is a kind of video output format of international Telecommunication Union protocol, which is less than the bit output of 601 format for decoding video signal of sports feedback system, and can reduce the response time of the system. 656 format does not need synchronization signal, through serial data transmission, first Y, then UV, line field synchronization signal embedded in the data stream, and the output rate is twice as fast as 601.


## 4. Software Design of Feedback System Based on Video Digital Processing

Since the goal of sports feedback system is to improve the subjects’ sports performance ability and acceleration ability, the corresponding characteristics will be reflected in the design of feedback interface and the way of sports control [29]. Therefore, after the collection and processing of sports data, the system needs to transmit the sports data and classification results to different feedback modes, so as to intuitively and vividly show the sports state, so that the participants can independently adjust the changes of their own sports laws, so as to achieve the purpose of sports feedback system. In order to improve the adaptability of the system, the sports feedback system develops and reserves a variety of flexible feedback scenarios and control modes [30]. Therefore, the sports feedback system uses interprocess information communication mechanism, TCP/IP network protocol, serial port communication, and shared memory to design and reserve the receiving channel of the system to realize the real-time communication of feedback and control process [31]. Different feedback modes in the sports feedback system will select different feedback modes and classifier output results as feedback information according to the needs of the actual scene; so, this information is closely related to the sports ability of participants [32].As a feedback system widely describing objective objects, it is generally expressed as follows:(1)ẋi=fixi+1,Xi,ẋn=fnu,Xn,i=1,⋯,n,wherex=x1,x2,.⋯,xnT is the system state, Xi=x1,x2,.⋯,xn, and can be detected: fi is the known smooth function, fn is a continuous function, and u∈R is the control input to be designed. Compared with the general nonlinear strict feedback system, the system state and control input u are affine structure, while the system state and control input u of sports feedback system are nonaffine structure, and the processor is more complex. Therefore, many controller design schemes applied to feedback system cannot be directly applied to feedback system [33].Therefore, this paper designs the software with the help of video digital processing technology. During video digitization, the image is obtained by sampling and digitizing the traditional image or video tape analog signal. If the plane image is expressed as a continuous two-dimensional function,(2)fx,y=fredx,y,fgreenx,y,fbluex,y.Then, the video digitized image is an approximate representation of continuous images, which is usually represented by a matrix composed of the values of sampling points:(3)fx,y=f0,0f1,0⋮fN−1,0f0,1f1,1⋮fN−1,1⋯⋯⋯⋯f0,M−1f1,M−1⋮fN−1,M−1.Each sampling unit is called a pixel, and the brightness of the pixel is expressed in gray value. The gray value is divided into 256 levels, the darkest is 0, and the brightest is 255. A video is digitized into image elements composed of square grids. Each grid has a pile of coordinates, one representing its row value and the other representing its column value [34]. The line value starts from the leftmost side of the video, and the marker word 0 ~ n represents the maximum value in the line value. Similarly, the column value is set to 0 from the top. Move down to the m value, and M represents the number of all columns of the image.The so-called video digital processing is the behavior of processing video information to meet people’s visual psychology or application needs. It uses a series of operations to change the pixels of the video to achieve a specific goal [35]. It includes video transformation, video enhancement, video restoration, video coding, video registration, video analysis and video feature extraction, and video segmentation.Assuming that the video isN×M dimensional array, X and Y represent the video signals represented by two types of tasks A and B, respectively, where m is the derivative of video signal acquisition and N is the number of sampling time points. Therefore, the video signal represented by each time point is represented as a point in m-dimensional finite real inner product space, which can also be called a spatial pattern. For the video signal X represented by task A, we can conclude that its standardized spatial covariance matrix is as follows:
(4)RX=XXTtraceXXT.Therefore, the standardized spatial covariance matrixRY of the video signal Y reached by task B can also be obtained. So, their average spatial covariance matrices RX¯ and RY¯ can be calculated, and then the coincidence spatial covariance RX¯+RY¯ of the two types of tasks can be obtained. Then, the composite covariance matrix RX¯+RY¯ is whitened, that is, find the reversible matrix Q, similarly diagonalize the composite covariance matrix, and convert it into the video digitization unit matrix:
(5)QT=RX¯+RY¯Q=E,whereE is the identity matrix. At this time, the whitening matrix P can be expressed as P=UD−1/2, U is the matrix composed of the eigenvector of RX¯+RY¯, and D is the diagonal matrix composed of the eigenvalue of RX¯+RY¯. When RX¯+RY¯ is whitened by P, there are GX=PTRX¯P and GY=PTRY¯P;so, GX=PTRX¯P and GY=PTRY¯P have the same eigenvectors.To sum up, in the process of software design, digital processing of video can effectively improve the definition of sports feedback interface, shorten the system feedback response time, and improve the use efficiency of the system.


## 5. Analysis of Experimental Results

In order to verify the effectiveness of the improved design feedback system, the error convergence, response time, and data integrity of the system were compared and analyzed. The error calculation of the feedback system is evaluated by the following three methods:The calculation formula of standard error is as follows:(6)δX¯∧=δz∧n.The calculation formula of the maximum possible error is as follows:(7)λ=3δz∧n.The calculation formula of probability error is as follows:(8)R=0.6745δz∧/n.In the formula,n represents the number of measurements and is a constant term, and the value range is 20~100. δz∧ is the overall standard deviation of the evaluation, which can be calculated by Bessel formula, Bessel function is the general name of a special kind of function in mathematics, the general Bessel function is the standard solution function of ordinary differential equation, and its formula is to replace true error with residual error, which can reduce error convergence and improve the effectiveness of the sports feedback system, as shown in formula (9):
(9)δz∧=∑i=1nvin−1,wherevi=Xi−X¯ represents residual error or residual error, X¯ represents the i assessment result, and X¯ is the average.


### 5.1. Comparison and Analysis of Error Convergence Curves

To sum up, the existence of error makes the sports feedback data have a certain dispersion. After using the system in this paper, the experimental results are shown in Figure7.Figure 7
Comparison diagram of error convergence curve before and after system operation.
(a)
Error convergence curve of the reference [1] system(b)
Error convergence curve of the reference [2] system(c)
The error convergence curve of the system is adopted in this paperIt can be seen from Figure7 that although the error convergence curve has a downward trend when using the system in reference [1], the overall decline is not obvious. When using the system in reference [2], although the error convergence curve decreases, it fluctuates greatly and has poor stability. When using this system for sports feedback, the error convergence curve begins to decline with an obvious trend, which increases the accuracy of sports feedback system and provides reliable data support for the sports feedback system.


### 5.2. Analysis of Response Time Comparison Results

Next, the response time of the sports feedback system under the three methods is compared. 1332 pieces of sports feedback data are randomly selected from SQL Server 2000 database, and the browsing interface and operation response time of the feedback system are used as evaluation criteria. The response time results of the system under the three methods are shown in Figure8.Figure 8
Comparison of system response time of three methods.It can be seen from Figure8 that the response time of this system is significantly lower than that of literature [1] and literature [2], especially when the number of sports feedback information is 1000, and the difference is the largest. At this time, the response time of this system is 23S, while that of literature [1] system is 37 s and that of literature [2] system is 42 s. This is because this method uses video digital processing to control the error value of sports information input, which improves the accuracy of the system and reduces the interference caused by the error value, so as to make the response speed of the system faster.


### 5.3. Comparison and Analysis of Data Integrity

Through the iterative method, the data integrity of the overall standard deviationδz∧ evaluated in Formula (6) is obtained. The larger the value of δz∧ is, the more complete the data is and the higher the application value of the method is. The calculation formula is as follows:
(10)δz∧=RK×100%,whereR is the feedback data, and K is the total amount of data. With data integrity as the test index, the test results of three different methods are shown in Figure 9.Figure 9
Data integrity test results.It can be seen from Figure9 that δz∧ values are above 84 when feedback data are obtained by using the method in this paper. When literature [1] and literature [2] were used to obtain the data of major hazard sources, the δz∧ value fluctuated between 17 and 82. Compared with the test results of the above methods, it can be seen that the feedback data obtained by the proposed method has higher integrity, because the proposed method uses the shift register to store effective feedback information and improves the data integrity.


## 5.1. Comparison and Analysis of Error Convergence Curves

To sum up, the existence of error makes the sports feedback data have a certain dispersion. After using the system in this paper, the experimental results are shown in Figure7.Figure 7
Comparison diagram of error convergence curve before and after system operation.
(a)
Error convergence curve of the reference [1] system(b)
Error convergence curve of the reference [2] system(c)
The error convergence curve of the system is adopted in this paperIt can be seen from Figure7 that although the error convergence curve has a downward trend when using the system in reference [1], the overall decline is not obvious. When using the system in reference [2], although the error convergence curve decreases, it fluctuates greatly and has poor stability. When using this system for sports feedback, the error convergence curve begins to decline with an obvious trend, which increases the accuracy of sports feedback system and provides reliable data support for the sports feedback system.


## 5.2. Analysis of Response Time Comparison Results

Next, the response time of the sports feedback system under the three methods is compared. 1332 pieces of sports feedback data are randomly selected from SQL Server 2000 database, and the browsing interface and operation response time of the feedback system are used as evaluation criteria. The response time results of the system under the three methods are shown in Figure8.Figure 8
Comparison of system response time of three methods.It can be seen from Figure8 that the response time of this system is significantly lower than that of literature [1] and literature [2], especially when the number of sports feedback information is 1000, and the difference is the largest. At this time, the response time of this system is 23S, while that of literature [1] system is 37 s and that of literature [2] system is 42 s. This is because this method uses video digital processing to control the error value of sports information input, which improves the accuracy of the system and reduces the interference caused by the error value, so as to make the response speed of the system faster.


## 5.3. Comparison and Analysis of Data Integrity

Through the iterative method, the data integrity of the overall standard deviationδz∧ evaluated in Formula (6) is obtained. The larger the value of δz∧ is, the more complete the data is and the higher the application value of the method is. The calculation formula is as follows:
(10)δz∧=RK×100%,whereR is the feedback data, and K is the total amount of data. With data integrity as the test index, the test results of three different methods are shown in Figure 9.Figure 9
Data integrity test results.It can be seen from Figure9 that δz∧ values are above 84 when feedback data are obtained by using the method in this paper. When literature [1] and literature [2] were used to obtain the data of major hazard sources, the δz∧ value fluctuated between 17 and 82. Compared with the test results of the above methods, it can be seen that the feedback data obtained by the proposed method has higher integrity, because the proposed method uses the shift register to store effective feedback information and improves the data integrity.


## 6. Conclusion

The sports feedback system can play a guiding role in physical education curriculum planning. Based on the hardware and software design of the system, this paper improves the problems existing in the traditional sports feedback system, such as large feedback error, long response time, and incomplete data. The positioning module, interface module, power supply circuit module, sampling module, input module, signal extraction module, and video digital processing module are designed, which successfully reduce the error convergence of the feedback system. At the same time, accurate analysis of sports effect is realized through information communication mechanism, TCP/IP network protocol, serial communication, and shared memory. Experimental results show that the designed system has good error convergence of 0.1, short response time of 32 s, and high data integrity of 94% and achieved diversified research results. But due to the limited time and research conditions, the experiment range selection of broad enough, the results still have limitations, data lack of universality; therefore, after the selection of experiment can be more thorough, select the multidimensional, in order to strengthen the experimental results, for the future of the sport feedback system design to provide theoretical support.



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*Source: 2859567-2022-06-16.xml*