Noise Source Identification Method for a Carpet Tufting Machine Based on CEEMDAN-AIC

In recent years, the noise reduction research of the carpet tufting machine has been developing slowly. The research gaps of the existing work mainly focus on the noise source identiﬁcation for the carpet tufting machine. MEEMD (EEMD) has been proposed to apply to source recognition on textile machinery. Due to the uniqueness of the MEEMD/EEMD, it is diﬃcult to set suitable white noise control parameters. MEEMD (EEMD) has only been tested via simulation; however, it has not been mathematically proven or evaluated. This leads to inevitable ﬂaws in the research conclusions, and even some conclusions are wrong. The contribution of this paper is twofold. First, in order to recognize the noise source of a carpet tufting machine, a method based on complete ensemble empirical mode decomposition (CEEMDAN) and Akaike information criterion (AIC) is proposed. The CEEMDAN-AIC method is applied to measure the noise signal of a carpet tufting machine and analyzed every single eﬀective component selected. Noise source identiﬁcation is realized by combining the vibration signal characteristics of the main parts of the carpet tufting machine. CEEMDAN is used to decompose the measured noise signal of the carpet tufting machine into a ﬁnite number of intrinsic mode functions (IMFs). Then, singular value decomposition (SVD) is performed on the covariance matrix of the IMF matrix to obtain the eigenvalue. Next, the number of eﬀective IMFs is estimated based on the AIC criterion, and the eﬀective IMFs are selected by combining the energy characteristic index and the Pearson correlation coeﬃcient method. Furthermore, reconstruction and comparison of the decomposed signals of MEEMD and CEEMDAN proved that CEEMDAN is eﬀective and accurate in source recognition. The results show that the noise signal of the carpet tufting machine is a mixture of multiple noise source signals. The main noise sources of the carpet tufting machine include shock caused by the impact of the tufted needle and looped hook and vibration of the hook-driven shaft and pressure plate. It provides theoretical support for the noise reduction of the carpet tufting machine.


Introduction
stipulates that, for single-level noise, continuous noise exposure shall not exceed 80 dB when working for more than 8 hours. In 2013, China's newly revised GB/T 50087-2013 [2] stipulates that the noise of the workshop is 85 dB. At present, the noise of the textile workshop is generally above 85 dB. Even with improvement of the characteristics of the carpet tufting machine, such as making it wide, heavy, high speed, and complex in the mechanism, the noise generated is greater. erefore, research on the noise reduction of textile machinery is urgent and significant.
Generally speaking, the structure of the carpet tufting machine is as complex as its transmission path. e weaving process includes high-speed rotation, reciprocating, multimotion coupling, impact, friction, and other conditions. It leads to more than one noise source. Even the same sound source often has multiple parts that produce sound, and the noise condition is unusual and complex [3][4][5]. erefore, it is necessary to understand the characteristics of each sound source and the weight of its total noise. en, locate and identify the main noise sources in order to formulate reasonable noise reduction measures for a carpet tufting machine with multiple noise sources.
Noise energy is usually concentrated in the low-frequency band. Noise source feature extraction is one of the key techniques for source identification, especially for the carpet tufting machine. erefore, how to accurately extract the source feature from complex noise is always a difficult problem in the textile industry. Some research studies use classical Fourier analysis and wavelet transform as the basis of noise signal processing [6][7][8]. e Fourier analysis cannot express the time-frequency local performance of the signal. e results cannot reflect the real features for the target signal well [9,10]. Wavelet transform can multiscale refine the signal by calculating flex and transition. It can solve the problem that the size of the Fourier transform window cannot change with frequency. However, wavelet transform is still based on Fourier analysis and limited by the selection of the wavelet basis function and decomposition layer. For carpet tufting machine noise signal processing, we hope that we can not only get the frequency information of the signal but also get the law of the frequency changing with time. As an empirical signal analysis method, empirical mode decomposition (EMD) overcomes the limitation of Fourier transform fundamentally and can theoretically decompose any signal into IMFs [11][12][13][14]. e major drawback of the EMD is the frequent appearance of mode mixing. Some experts have put forward improved EMD algorithms to solve mode mixing of EMD. Among them, the more universal and effective algorithms are ensemble EMD (EEMD) [15,16]. Although EEMD reduces mode mixing, it has greater error between the original signal and the reconstruction signal. For textile machinery, Xu et al. [3,4] proposed modified ensemble empirical mode decomposition (MEEMD). Although MEEMD reduces the reconstruction error to a certain extent, it still cannot meet accuracy requirements. Marcelo and Gastón [17] presented complete ensemble EMD with adaptive noise (CEEMDAN). It can solve mode mixing and reduce calculation with negligible reconstruction error [18][19][20].
In this paper, the decomposition results of CEEMDAN and MEEMD are compared. CEEMDAN has higher accuracy, and it is more suitable for the noise source extraction for the textile industry. e CEEMDAN algorithm is combined with the Akaike information criterion (AIC) source number estimation method, and the CEEMDAN-AIC method is for the noise source identification of the carpet tufting machine. en, the CEEMDAN-AIC method is applied for the identification of the noise source of a carpet tufting machine, and its main noise source is accurately identified. is can provide theoretical support for the active noise reduction of the carpet tufting machine.

Noise Characteristic Analysis of a Carpet
Tufting Machine 2.1. Structure of the Carpet Tufting Machine. In this paper, the experiment object is a four-meter tufted carpet tufting machine. It is shown in Figure 1. e carpet tufting machine is mainly composed of four parts: host system, loop-forming system, yarn feeding system, and needle bed and traverse system. e host system is used to make the rotary motion of the spindle transformed into the loop/cutting motion of the loop hook swinging left and right and the flocking motion of the tufting needle up and down. e loop-forming system is used to complete the loop-forming movement of the carpet tufting machine. e yarn feeding system is used to send yarn to the loop forming. e needle bed and traverse system is used to put yarns of different colors inserted into the tufted pinholes at intervals. Assist the loop-forming system in completing the fabric weaving. Under the operating condition that the main shaft speed of the carpet tufting machine is 360 rpm, LV-FS01 and Quick Signal Analyzer (Quick SA) real-time signal analysis software are used to collect the vibration signals of the main vibration parts of the carpet tufting machine, and the collected vibration signals are analyzed one by one. e main vibration frequencies of the parts are shown in Table 1. e sampling frequency is set to 2048 Hz, and the sampling time is 20 s.

e Acquisition and Preprocessing of Noise Signals.
Under the same conditions, the noise signals of the carpet tufting machine near the workers' ears are collected. According to GB/T 7111.6-2002 "Textile machinery-Noise test code-Part 6: Fabric manufacturing machinery," the sound pressure sensor is arranged at a distance of 1 m from the machine surface and at a height of 1.6 m from the table position.
e noise signals are collected in this experiment by using a sound pressure sensor BK4961 combined with the DHAS dynamic signal analysis system. e sampling frequency is 8192 Hz, and the sampling time is 20 s. A total of 6 experiments are carried out, and the experimental site layout is shown in Figure 2.
All the noise signals collected are analyzed preliminarily. In order to improve the computational efficiency, a typical data length of 1 s is selected as the analysis object. e signal waveform and spectrum obtained after the fast Fourier transform of the signal are shown in Figure 3. It is seen in the figure that the frequency of the noise signals is mainly distributed below 400 Hz. And the frequency component is complex, mainly composed of low-frequency noise within 0-300 Hz.  Table 2.

CEEMDAN-AIC Noise
Recognition Algorithm e core of the CEEMDAN-AIC approach is the CEEM-DAN algorithm and AIC guidelines. e CEEMDAN-AIC algorithm flowchart is shown in Figure 5.
(1) CEEMDAN decomposition of the signal: CEEM-DAN decomposition of the single-channel observation signal yields a finite number of IMF components.
(a) Add two sets of positive and negative white noise signals of equal absolute value to the signal to be decomposed Multiple first-order components IMF i 1 are obtained by EMD of the new signal. e first-order final component IMF 1 is obtained by averaging several first-order components. e first residue can be expressed as (1) e second residue can be expressed as (2) (c) For k � 1, 2, 3, Λ, go to Step b for next k. e kth residue can be expressed as Finally, CEEMDAN can be expressed as where x(t) is the observation signal.
(2) Estimate effective IMFs: e IMF matrix is obtained after the signal is decomposed by CEEMDAN. e IMF matrix's covariance matrix is decomposed by SVD. Multiple eigenvalues corresponding to IMFs can be obtained. e noise background of the carpet tufting machine is colored noise, and the accuracy of the AIC for estimating the number of sources in the background of colored noise is poor. erefore, Xu et al. [3] smoothed out the noise eigenvalues by diagonally loading the covariance matrix in order to make it to be applied to the background of colored noise. e corrected eigenvalue where N is the number of samples and L � 1, 2, Λ, m − 1. e AIC value of L is calculated from 1 to m − 1. L corresponding to the smallest AIC value is the number of effective components. Combining the energy characteristic index with the Pearson correlation coefficient [3], the total energy of each IMF and the correlation coefficient between each IMF and the original signal are calculated. According to the correlation coefficient of each IMF, all the IMFs are reordered to find out the most significant components.

Noise Source Identification of a Carpet
Tufting Machine CEEMDAN decomposition of the noise signal is done. e amplitude of the added white noise is 0.3 times of the RMS of the noise signal. e number of added white noise is 200.  Seven IMFs are obtained. e decomposition result is shown in Figure 6.

Estimation of Effective IMFs of Carpet Tufting Machine
Noise. e covariance matrix of the IMFs is calculated and then decomposed by SVD. e eigenvalues were obtained: 0.0857, 0.0551, 0.0318, 0.0198, 0.0083, 0.0015, and 0.0002. e AIC after correction is shown in Figure 7. e smallest AIC corresponds to L � 4. en, the estimated number of valid IMFs is 4.
Combining the energy characteristic index with the Pearson correlation coefficient, the total energy of each IMF and the correlation coefficient between each IMF and the original signal are calculated.
e results are shown in Table 3.
It can be seen from Table 3 that the energy and correlation coefficients of IMF1-IMF4 are large. Because the number of effective IMFs of the carpet tufting machine decomposed by CEEMDAN is 4, IMF1-IMF4 are effective. IMF5-IMF7 are not effective as their energy and correlation coefficient are small.

Characteristic Analysis of Effective Noise and Noise Source
Identification. Each amplitude-frequency figure of each effective IMF of carpet tufting machine noise shown in Figure 8 is obtained through the fast Fourier transform. Figure 9 shows the time-frequency of IMF1-IMF4. According to Figure 6 and Figure 9(a), it can be seen that IMF1 is a shock signal. It impacts about 6 times per second.
is corresponds to the spindle motor speed (360 r/min). When the spindle motor is working, it rotates once in 0.2 s. At this time, the needle row punctures the base cloth every 0.2 s. e peak value appears on the amplitude-time figure of IMF1 every 0.2 s ( Figure 6). erefore, IMF1 is the shock noise caused by the impact of the tufted needle and loop hook.
Background noise signals in the factory are collected and decomposed by CEEMDAN. e time-frequency of the background noise is shown in Figure 10.
Comparing Figure 10 with Figure 9(b), it can be seen that the frequency distribution is similar and that all signal frequency characteristics change with time. erefore, IMF2 is derived from the background noise. e vibration time-frequency of the hook-driven shaft and pressure plate is shown in Figure 11. e amplitudefrequency of IMF3 and IMF4 is extracted from Figure 8 and  Shock and Vibration amplified in the frequency axis, resulting in Figure 12. According to Figure 12(a), an obvious peak is at 58 Hz, the frequency does not change with time, and no periodic shock characteristics and concentrated frequency distribution were observed. e amplitude of 58 Hz is the largest in the whole frequency domain, and it is about 10 times of the spindle rotation frequency. Figure 9(c) and Figure 11 show that the phase difference between the pressure plate and the hook-driven shaft is about 180°and alternates with each other on the whole time axis. By measuring the main vibration of the hook-driven shaft and pressure plate (58.3 Hz, 52.7 Hz), it can be known that IMF3 is the vibration noise caused by the vibration of the hook-driven shaft and pressure plate. Figure 12(b) shows an obvious peak at 17 Hz. e distribution of frequency is narrow and below 20 Hz. e audible frequency range of the human ear is from 20 Hz to     Shock and Vibration 7 20 kHz. erefore, IMF4 belongs to the infrasound wave, and it cannot be recognized by the human ear. It is not necessary for IMF4 to identify the noise source.

Comparing with the MEEMD Noise Recognition
Algorithm. In Section 4.1, CEEMDAN-AIC is directly applied to decompose and analyze the noise signal, but this is not prudent enough to verify the accuracy of the method. It is necessary to add one accurate calculation example to verify the accuracy of the method, and the results of CEEMDAN and MEEMD should be compared. According to the features of the measured noise signal, the simulation signal of the accurate calculation example can be expressed ( Figure 13): m 1 � 5e − (t− 500/100) 2 π cos 5π 6 (t − 1000) m 2 � cos 4π 125 (t − 1000) + 10 sin πt 2500 − 86

Shock and Vibration
Simulation signal � m 1 + m 2 + m 3 . According to Figures 13-15, it is obvious that MEEMD presents strong mode mixing and contains the spurious component. For MEEMD, IMF1-IMF4 have large energy, and they do not represent real information of the simulation signal. For CEEMDAN, the decompositions were stopped once the IMF was satisfied for the current residue. Figures 16  and 17 show that compared with MEEMD, the reconstructed signal error generated by CEEMDAN is negligible, and the energy distribution is more uniform. It can well decompose the simulation signal into three effective components. CEEMDAN can represent real information of the simulation signal more accurately than MEEMD.
MEEMD of the noise signal is shown in Figure 18. 10 IMFs are obtained. Comparing with Figure 6, it is obvious that MEEMD shows frequent appearance of mode mixing [4].
Each amplitude-frequency figure of each effective IMF of MEEMD shown in Figure 19 is obtained through the fast Fourier transform. e energy error of the MEEMD algorithm is very large. It can change the energy distribution of the modal component.
is will seriously affect the identification of the noise source. e conclusions in [4] show that the noise of the carpet tufting machine is mainly composed of friction between the tufting needle and base cloth (IMF1), the shock noise caused by the impact of the tufted needle and loop      decomposition results. is can reduce the appearance of the spurious component in decomposition results. In order to illustrate this problem, the error of the reconstruction signal of CEEMDAN and MEEMD should be compared.
According to  and Table 4, compared with the CEEMDN reconstruction signal, the energy error of the MEEMD reconstruction signal is 31.1%. It is obvious that CEEMDAN is more suitable for the noise source extraction of the carpet tufting machine. Meanwhile, the conclusions [4] are not accurate.

Conclusions
In this paper, using the CMEEMDAN-AIC algorithm combined with the carpet tufting machine structure characteristics and related experimental analysis, the noise sources of the carpet tufting machine are identified, concluded as follows: (1) A CEEMDAN-AIC algorithm which is applied to the noise source identification of the carpet tufting machine is presented. (2) e CEEMDAN-AIC algorithm is used to deal with noise measured near the ear of workers. Four effective IMFs of the noise of the carpet tufting machine are obtained. Among them, IMF2 and IMF4 are, respectively, background noise and infrasound. (3) Based on the analysis of IMF1 and IMF3, combined with the vibration characteristics of each machine part of the carpet tufting machine, it can be concluded that the noise is mainly composed of the vibration of the hook-driven shaft and pressure plate and the impact of the tufted needle and loop hook.    Data Availability e research data are from previously reported studies and datasets. e related research data can be made available from the corresponding author upon request.

Conflicts of Interest
e authors declare no conflicts of interest with respect to the research, authorship, and/or publication of this article.