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Article

Research on Speech Emotion Recognition Based on Teager Energy Operator Coefficients and Inverted MFCC Feature Fusion

School of Electrical and Electronic Engineering, Shanghai Institute of Technology, Shanghai 201418, China
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Author to whom correspondence should be addressed.
Electronics 2023, 12(17), 3599; https://doi.org/10.3390/electronics12173599
Submission received: 4 July 2023 / Revised: 18 August 2023 / Accepted: 23 August 2023 / Published: 25 August 2023

Abstract

:
As an important part of our daily life, speech has a great impact on the way people communicate. The Mel filter bank used in the extraction process of MFCC has a better ability to process the low-frequency component of a speech signal, but it weakens the emotional information contained in the high-frequency part of the speech signal. We used the inverted Mel filter bank to enhance the feature processing of the high-frequency part of the speech signal to obtain the IMFCC coefficients and fuse the MFCC features in order to obtain I_MFCC. Finally, to more accurately characterize emotional traits, we combined the Teager energy operator coefficients (TEOC) and the I_MFCC to obtain TEOC&I_MFCC and input it into the CNN_LSTM neural network. Experimental results on RAVDESS show that the feature fusion using Teager energy operator coefficients and I_MFCC has a higher emotion recognition accuracy, and the system achieves 92.99% weighted accuracy (WA) and 92.88% unweighted accuracy (UA).

1. Introduction

Speech emotion recognition has been gaining popularity in the newly developing field of human–computer interaction. This is due to the fact that a thorough examination of the emotions expressed in speech is essential for raising the level of sophistication and intelligence of conversational robot systems and human–computer interaction systems. By assisting individuals in understanding the feelings that are embedded in speech, we can provide higher-quality services and create a more intelligent and seamless human–computer interaction experience.
Speech emotion recognition in human–computer interaction is increasingly being applied across various domains, enhancing the user experience by recognizing emotional information in speech. This technology proves particularly useful in scenarios that involve human–computer interaction, such as in movies and computer-based courses, where it can intelligently respond to a user’s emotions in a timely manner [1]. Furthermore, it has great potential for application in intelligent vehicle systems since it makes it possible to track a driver’s emotional state in real-time, which helps with driving by preventing strong emotional reactions. It also helps psychologists diagnose patients, which enables them to make more informed choices [2]. Furthermore, in automatic translation systems incorporating emotion recognition, emotional alignment between communicators plays a crucial role in dialogues. Notably, research indicates that systems utilizing prosody training [3] outperform those lacking prosodic elements in speech recognition. Consequently, speech emotion recognition is widely utilized in call centers and mobile communications [4].
The differences in vocal attributes among individuals, such as pitch, energy, gender, speech rate, and speaking style, introduce variations in speech emotion recognition. Extensive research in the field has explored various techniques using different speech emotion features and deep learning methods. These features include fundamental frequency, energy, duration, speech rate, resonance peaks, linear prediction coefficients (LPC), linear frequency cepstral coefficients (LFCC), Mel-frequency cepstral coefficients (MFCC) [5], and Teager energy operator coefficients (TEOC) [6]. Researchers have abstracted these features into fixed feature vectors that encompass multiple attributes of acoustic parameters, providing accurate representations of mean values, variances, extremes, and variations. This dimensional representation enhances the rationality and ease of processing in speech emotion analysis. The feature extraction process directly impacts the overall accuracy and performance of the system. As multi-feature fusion research advances, it has been discovered that proper feature fusion selection can increase the accuracy of speech emotion recognition [7]. Initially developed for speech recognition, Mel-frequency cepstral coefficients (MFCC) are calculated based on the auditory mechanism of the human ear. By mimicking the physiological structure of the human ear, MFCC can effectively capture the emotional information embedded in speech signals.
In the classification task of speech emotion recognition, traditional methods have employed a range of algorithms, including the Hidden Markov Model (HMM) [8], Support Vector Machines (SVM) [9], the Gaussian Mixture Model (GMM), and others [10,11]. However, in recent years, researchers have increasingly explored the use of neural networks to achieve speech emotion recognition. They have utilized various popular neural network techniques, such as Convolutional Neural Networks (CNN) [12], Recurrent Neural Networks (RNN), Deep Neural Networks (DNN), Artificial Neural Networks (ANN), and Long Short-Term Memory (LSTM). These emerging neural network technologies have found wide application in speech emotion recognition, providing more choices for classification [13,14]. Researchers have discovered that deep learning-based MFCC feature extraction methods exhibit outstanding performance in speech emotion recognition tasks [15,16,17]. In paper [18], it was mentioned that LSTM and CNN can be applied to speech emotion recognition to identify emotions like neutral, anger, sadness, and happiness. Paper [19] proposed an integrated model, CNN_LSTM, which achieved an accuracy of 70.56% using MFCC. In paper [20], the authors used a BGRU network with an attention layer to extract spectrograms and derivatives as features while obtaining a weighted accuracy of 72.83% and an unweighted accuracy of 67.75% on the IEMOCAP dataset. In paper [21], the authors combined MFCC, spectrogram, and embedded high-level auditory information to show good performance. In paper [22], the authors introduced Gaussian-shaped filters (GF) in calculating MFCC and IMFCC instead of traditional triangular mel-scale filters. In paper [23], the authors extracted T_MFCC features and combined them with the Gaussian Mixture Model (GMM) for classifying different emotions in speech, showing improved performance. In paper [24], the authors fused MFCC_IMFCC features and achieved higher rates of emotion recognition. In paper [25], the authors extracted a multidimensional feature vector comprising MFCC, ZCR, HNR, and TEO, and validated it using SVM, demonstrating better speech emotion recognition than using a single feature. These research findings indicate that the adoption of different features and fusion methods can enhance the effectiveness of emotion recognition and provide valuable references for further advancements in this field.
The extraction of speech features can be impacted by the speech database’s noise and interference levels during the processing of speech signals. As a result, denoising techniques must be used before feature extraction [26,27]. Voice Activity Detection (VAD) is utilized to extract significant speech elements from the speech signal in order to make a distinction between the speech segments and the non-speech segments in a given speech signal, which may be either clean or noisy. VAD can enhance the signal’s speech component, making it simpler to extract elements necessary for emotion in speech recognition.
This research provides a novel approach for feature extraction and fusion in light of the aforementioned factors. Specifically, it combines MFCC, IMFCC, and Teager energy operator coefficients (TEOC) to form the fused feature TEOC and I_MFCC. The CNN_LSTM neural network uses this fused feature as input, and the presence of LSTM enables the network to record contextual information. The RAVDESS dataset is used to conduct experimental verification. The outcomes show that the recognition accuracy, weighted accuracy (WA), and unweighted accuracy (UA) are all improved by our suggested strategy. The system also has benefits, including a straightforward structure, simple feature extraction, and less neural network parameters.
Figure 1 in this paper shows the schematic diagram of the suggested system for recognizing emotions in speech.

2. Feature Preprocessing

2.1. The Extraction Process of TEOC

The Teager energy operator (TEO), a nonlinear operator, detects and records transient energy variations in a signal to improve data comprehension and processing. The research findings by H.M. Teager have provided a novel operator for nonlinear speech modeling, which has been widely recognized [28]. This paper introduces a concise algorithm for signal analysis to handle continuous signal x ( t ) , denoted as Ψ , as follows:
Ψ t = d x t d t 2 x t d x 2 t d t 2  
where d x ( t ) d t is the derivative of x(t), d x 2 ( t ) d t 2 is the second derivative of x(t).
Let us first consider the case of a linear oscillator, assuming it undergoes undamped free vibration. We describe the displacement of the oscillator at time t as   x ( t ) = A c o s ( ω c t + θ ) , where x ( t ) represents the displacement at time t , A is the amplitude representing the maximum displacement, ω c is the angular frequency representing the relationship between frequency and period of the vibration, t is time, and θ is the initial phase representing the starting phase of the vibration. By substituting x ( t ) into Ψ [ ( t ) ] , we can obtain:
Ψ t = Ψ A c o s ( ω c t + θ ) = ( A ω c ) 2
Additionally, it is known that the oscillator’s instantaneous total energy has a constant value, E = m ( A ω c ) 2 2   , where m is the oscillator’s mass. This is only a constant factor m / 2 away from the Ψ result of the above equation, so this Ψ operator is called the Teager energy operator.
We utilize the TEO to extract parameters from the speech signals after VAD processing. Firstly, through frame-based processing, the audio signal is separated into equal-length frames. Subsequently, the input signal is returned to its original state. Then, the energy of each frame is calculated. By comparing the frame energy with a predetermined threshold, voice activity detection is performed to determine whether it belongs to a speech or non-speech segment. Generally, VAD algorithms categorize the audio signal into voiced, unvoiced, and silent segments, providing a more accurate representation of speech characteristics. These processing steps contribute to improving the accuracy of speech recognition. By incorporating information from different traditional acoustic parameters, we are able to identify and differentiate various speech emotions more accurately.
According to the analysis of speech emotion features presented in [29], it has been observed that, compared to neutral speech, speech signals under different emotions exhibit energy shifts in different frequency bands, resulting in the concentration of primary energy in different frequency ranges. This energy distribution difference becomes more significant after the nonlinear transformation by the Teager energy operator. In the frequency domain of speech signals, spectral peaks contribute more to perception, while spectral valleys contribute less [30]. Therefore, the TEO-based nonlinear transformation emphasizes the spectral peak information during high-energy periods, making it easier to differentiate the spectral energy differences between different emotions and thus improving the accuracy of speech emotion recognition. We conducted experiments to validate this idea in subsequent studies.
In this study, we extracted the Teager energy operator coefficients (TEOC) from the speech signals after VAD processing. The Teager energy operator exhibits good conformity with the nonlinearity of both the speech signals and itself. Moreover, it has the advantages of being a nonlinear operator and having a relatively low computational complexity, which makes it an efficient feature extraction method.
According to Kaiserc [31], for discrete speech signals, this is the definition of the Teager energy operator:
Ψ x n = [ x n ] 2 x n + 1 x n 1  
For discrete speech signals, to determine the TEO parameters at a specific point, only the values of the time before and time after the voice signal x ( n ) must be obtained. In the case of speech signals in the dataset, the state transitions between different emotions exhibit nonlinear and non-stationary characteristics. By incorporating the TEO into the nonlinear feature extraction process of speech signals, it becomes possible to effectively capture the underlying emotional components present in different speech signals, thereby enhancing the accuracy of speech emotion recognition.
The original speech signals, speech signals processed by VAD, and speech signals processed by TEO for four randomly selected audio samples are shown in Figure 2.

2.2. The Extraction Process of MFCC and IMFCC

The feature extraction process for IMFCC and MFCC is essentially the same, with the only difference being the response functions of the Mel filters used. It is apparent that the IMFCC and MFCC characteristics work well together, and using the high-frequency data from the IMFCC improves the speech recognition of emotions and the systems perform better. This complementary relationship provides a new direction for the field of speech emotion recognition and offers an effective approach for enhancing system performance. Figure 3 depicts the flowchart with the goal of extracting MFCC and IMFCC features.
MFCC is the output of the DCT. It exhibits good robustness and can reflect emotional feature parameters in the signal [32]. However, through spectral analysis of the speech signal, it has been found that the spectra related to emotions are distributed in both the low-frequency and high-frequency regions of the speech signal. The Mel filter bank structure of MFCC cannot effectively utilize the high-frequency portion of the signal. Therefore, we refer to an improved version called Inverted Mel-frequency cepstral coefficients (IMFCC), which is obtained by inverting the Mel filters.
The general steps of the extraction of the MFCC and IMFCC are as follows:
  • Pre-emphasis of speech: The speech signal passes through a high-pass filter: H ( z ) = 1 μ z 1 ,where the value of μ is between 0.9 and 1.0, and μ   is taken as 0.97 after comparative experiments. The speech production system tends to suppress the high-frequency components of speech [14].
  • Framing of speech signals: To avoid abrupt changes between adjacent frames, an overlap region is introduced between them. The sampling frequency of speech signals in this paper is 48 KHz.
  • Hamming Window: Suppose that the signal after framing is   S ( n ) ,   n = 0 ,   1 , ,   n 1 , N is the size of the frame, then S n = S n × W n after multiplying the Hamming window, W ( n ) has the following form:
    W n , a = 1 a a × cos 2 π n N 1 , 0 n N 1
    Different values of a will produce different Hamming Windows, and a is generally taken to be 0.46.
  • Fast Fourier transform: The signal is first Hamming windowed, and then each frame of the signal undergoes a Fast Fourier Transform (FFT) to determine how energetic the signal is over the frequency spectrum. The frequency spectrum of the signal is then multiplied by magnitude squared to produce the power spectrum of the voice signal.
  • Mel filter bank: The key role of the triangular filters is to smooth the frequency spectrum, emphasizing the resonant peaks of the speech signal and eliminating unnecessary frequency fluctuations. The structure diagrams of the Mel filter bank and the reversed Mel filter bank are shown in Figure 4.
Through this transformation, the structure of the filter bank changes, and the response function undergoes corresponding changes as well:
I H i k = H p i + 1 N 2 k + 1  
where H i k is the filter response in the Mel frequency domain, i   is the index of the filter,   k is the index of the frequency, N is the filter length, and p is the number of filter banks.
The conversion between the Mel frequency and the actual frequency can be expressed by the following formula:
f m e l = 2595 log 10 1 + f 700  
The inverted Mel filter bank introduces the concept of the inverted Mel frequency domain, and the conversion between it and the actual frequency can be expressed by the following formula:
F I M e l = 2195.268 2595 log 10 1 + 4031.25 f 700  
Figure 5 illustrates the comparison between Mel frequency and actual frequency:
6.
Calculate the log energy of each filter bank output as:
s m = ln k = 0 n 1 X a k 2 H m k , 0 m M  
where m represents the index of the filter bank, n represents the number of points in the FFT, X a k represents the amplitude spectrum of the frequency domain signal, and H m k   represents the response function of filter bank m .
7.
Discrete cosine transform: MFCC coefficients are obtained by discrete cosine Transform (DCT):
C n = m = 0 N 1 s m cos π n m 0.5 M , n = 1 ,   2 , L  
By performing the discrete cosine transform on the logarithmic energy, we can calculate L-order MFCC coefficients. In the equation, M represents the number of triangular filters.
8.
Extraction of dynamic difference parameters: To capture the dynamic characteristics of speech in addition to the static features extracted by MFCC, differential spectral features are introduced as a complement to the static features. The calculation of differential parameters can be implemented using the following formula:
d t = C t + 1 C t                                                           t < K   k = 1 K k C t + k C t k 2 k = 1 K k 2                                   e l s e     C t C t 1                                                         t Q K
where d t represents the first-order difference of the t-th frame, C t represents the t-th cepstral coefficient, Q represents the order of cepstral coefficients, and K   represents the time difference for the first-order derivative, which can be 1 or 2. By substituting the results from the equation back, we can obtain the parameters for the second-order difference.
We denote the i-dimensional MFCC parameters extracted from each speech file as M i , the IMFCC parameters as I M i and the fused parameters of MFCC and IMFCC as I _ M i . For feature fusion, we opt for an embedded technique in which the three parameters obtained from the aforementioned steps, namely MFCC, IMFCC, and TEOC, are combined.
Cross-embedding of 20-dimensional IMFCC features and 19-dimensional MFCC features is a part of the unique feature fusion approach. This guarantees that all three types of features are present in every frame, allowing for a more accurate depiction of speech emotion data. While keeping the feature dimension relatively modest to reduce parameters and boost training efficiency, the LSTM neural network is used to gather contextual information and generate more accurate decisions. Finally, the extracted Teager energy operator coefficient (TEOC) are concatenated with I _ M i to obtain the T E O C & I _ M i parameters, which serve as the input for the CNN_LSTM neural network. The feature fusion approach is illustrated in Figure 6.

3. Model for the Neural Network

The convolutional neural network is made up of a sequence of alternating convolutional and pooling layers, as well as the choice of batch normalization layers and dropout layers, to adapt to the real properties of voice signals. Two important characteristics of CNN are local connectivity and weight sharing. This effectively reduces the number of parameters and improves the efficiency of feature extraction. In the neural network model built in this paper, we adopt a three-layer structure for the convolutional layers, and the specific structural parameters are shown in Table 1.
In the network structure model built in this paper, the output dimension of the LSTM module unit is 32. The output is flattened into a one-dimensional vector by the Flatten layer to prepare for subsequent fully connected layers. Finally, a softmax activation function is applied for multi-class emotion classification. The structure of the LSTM module unit used in this paper is shown in Figure 7.
Specifically, the forget gate is controlled by f ( t ) , which determines how much information from the previous short-term memory and the current input should be forgotten in the long-term memory.
  f ( t ) = σ W f · h t 1 , x t + b f  
Among them: W represents the weight of each input vector; b is offset vector; σ is activation function.
The input gate is controlled by i ( t ) and consists of two parts. The first part, determined by σ ( · ) , decides the values to be updated, while the second part, governed by g ( t ) , determines which values can be added to the long-term memory.
  i t = σ W i · h t 1 , x t + b i  
g t = t a n h W g · h t 1 , x t + b g  
The output gate is controlled by o(t) and is responsible for determining the short-term memory and the output of the current unit based on the previous short-term memory, long-term memory, and input state.
o t = σ W o · h t 1 , x t + b o  
c t = f ( t ) c t 1 + i t g t  
h t = o t t a n h c i  
We choose ELU (Exponential Linear Unit) as the activation function for each convolutional layer. Compared to ReLU, ELU does not suffer from the issue of “dead neurons” (referring to the problem where gradients can cause neurons to die or gradients vanish during backpropagation) and, in some cases, can provide higher accuracy compared to ReLU and its variants. The smooth negative part of ELU allows for the modeling of richer activation patterns. By using ELU, we can reduce training time and improve accuracy in neural networks.

4. Experimental Database and Results

4.1. Database

In this paper, we conducted experiments using the Ryerson Audio-Visual Database of Emotional Speech and Song (RAVDESS) dataset [33]. The RAVDESS dataset provides a rich collection of emotional speech and song recordings. It is a publicly available database that offers a reliable data foundation for our research. Each file in the dataset has a duration of approximately 3.5 to 5 s and a sampling frequency of 48 kHz. We standardized the length to 5 s during the Voice Activity Detection (VAD) processing step. The distribution of speech files for various emotions in the database used in this paper is shown in Table 2. With equally distributed numbers of male and female speakers, the database is gender-balanced. The speech files are recorded with a North American accent. The third number in the file name represents the emotion label of the speech file. In this example, “01” denotes neutral, “02” calm, “03” happy, “04” sad, “05” angry, “06” fearful, “07” disgust, and “08” surprised. One example of a file name is “03-01-01-01-01-01.wav”, which indicates the following: participant ID is 03 (referring to the third participant), sentence ID is 01 (referring to the first sentence), emotion label is 01 (referring to neutral emotion), intensity label is 01 (referring to low intensity), gender label is 01 (referring to female), and label number is 01 (referring to the original version).
For the validation experiments on the database, we employed the 10-fold cross-validation method. The dataset was randomly divided into ten subsets. In each experiment, nine subsets were used as the training set to train the neural network, while the remaining subset was used as the validation set to evaluate the performance of the neural network. This approach allowed us to comprehensively validate and assess the performance of the neural network on different subsets of data. The fused feature parameters, TEOC and I_MFCC, were input into the constructed CNN_LSTM neural network for speech emotion recognition.
The model used in this study was built using the TensorFlow framework. The specific configuration of the deep learning neural network parameters is as follows: learning rate of 0.01, batch size of 64, learning rate decay of 0.001, momentum of 0.8, and the number of iterations (epochs) set to 1500. Stochastic Gradient Descent (SGD) was used as the network optimizer.

4.2. Comparison of Experimental Results and Analysis

The values of weighted accuracy (WA) and unweighted accuracy (UA) are used to achieve an efficient interpretation of performance in this paper. Whereas WA represents the overall precision of sample information and UA represents the average of emotion precision. We used the TEOC&I_MFCC parameters in the feature fusion process as the input of the neural network CNN_LSTM, and specifically, the network structure parameters we built are shown in Table 3.
To validate the effectiveness of the proposed feature fusion and neural network model for speech emotion recognition, we conducted experiments on the RAVDESS emotional speech corpus. The experimental results include the model loss curve and model accuracy curve, as shown in Figure 8.
As a way to confirm that our proposed method has a better effect, the accuracy of speech emotion recognition of our research and the existing research model method is compared. Table 4 shows the WA and UA data obtained from the existing research and our experiment. All the data obtained from the reference research in Table 4 are based on the RAVDESS database.
Based on the data in Table 4, it is obvious that our proposed method obtains the highest weighted and unweighted accuracy in the RAVDESS sentiment corpus compared to the techniques in the literature mentioned above.
The extraction processes of MFCC and IMFCC are similar but not identical. In order to verify the relationship between the Teager energy operator coefficients obtained in the Teager energy operator process and the signal features such as MFCC, IMFCC, and feature ablation, tests were carried out to confirm the efficiency of each module in the proposed model. In Table 5, the experimental results are provided.
In the feature ablation experiments, we conducted a total of five groups of experiments. While keeping the network structure unchanged, we separately validated the following scenarios: MFCC only, IMFCC only, feature fusion of MFCC and IMFCC, feature fusion of TEOC and IMFCC, feature fusion of TEOC, and MFCC and IMFCC. The results showed that IMFCC was better at capturing emotional features than MFCC as a single feature. The recognition performance improved when fusing TEOC with IMFCC compared to fusing TEOC with MFCC, which further validated our hypothesis. Based on the experimental results of the feature fusion of MFCC, IMFCC, and TEOC, we achieved the highest recognition accuracy, weighted accuracy, and unweighted accuracy. The experimental results also confirmed the effectiveness of our proposed feature fusion method and the neural network structure. The feature ablation experiments indicated that the inclusion of other feature components had a certain effect on improving speech emotion recognition.
We analyzed the classification methods indicated in the various literatures in order to more thoroughly test the recognition accuracy of the voice emotion detection system suggested in this paper using the RAVDESS database. Self-Supervised Learning (SSL), Self-Attention, Transformer, and Wav2Vec 2.0, for instance, are currently in extensive use. In the same database, various categorization networks are compared and summarized in Table 6.
The classification network and feature selection of speech emotion recognition put forward in this article, as seen in Table 6, outperform the RAVDESS recognition results. Due to our deliberate selection and incorporation of more useful TEOC and IMFCC emotion features, the classification network suggested in this paper outperforms the others in terms of network structure, parameter transfer between networks, and training duration.
During the experiments on the database, we generated a confusion matrix plot for the RAVDESS database, as shown in Figure 9.
As can be seen from the plotted results, surprised, neutral, anger, and calm all have rather high recognition rates. The confusion matrix also indicates a relatively high recognition rate for the emotions of disgust, fear, happiness and sadness. We hypothesize that this might be because the energy fluctuations in the speech signals for these emotions are not significant and lack prominent emotional energy patterns compared to other emotions. The high recognition rates for commonly detected emotions such as calm and anger are particularly valuable in applications such as intelligent assisted driving, where detecting a driver’s emotional fluctuations related to agitation can be highly relevant and informative.

5. Conclusions

In this paper, the CNN–LSTM neural network for voice emotion identification is proposed. The speech signals in the database are preprocessed using voice activity detection, and the MFCC, IMFCC, and Teager energy operator coefficients are extracted from the speech signals. These features are then fused into a new parameter called TEOC and IMFCC, which serves as the input to the CNN–LSTM neural network. The Teager energy operator is highly sensitive to transient components in the signal and the IMFCC parameters capture the emotional information contained in the high-frequency part of the speech signal. By combining the strengths of these two features, feature fusion is achieved. Comparative experiments on the RAVDESS database demonstrate that our proposed method outperforms similar methods and models in terms of speech emotion recognition accuracy. Particularly, our method performs well in detecting and recognizing surprised, neutral, anger, and calm emotions, achieving a good weighted accuracy and unweighted accuracy. This has practical applications in domains such as intelligent assisted driving and intelligent voice feedback.
In the following study, we explore additional deep learning networks in order to further enhance the precision of speech emotion recognition. For instance, the SSL model can adjust its performance through learning from data, perform better on numerous classification tasks, and more effectively incorporate speech emotion features.

Author Contributions

Methodology, F.W.; software, F.W.; writing—original draft preparation, F.W.; writing—review and editing, X.S. All authors have read and agreed to the published version of the manuscript.

Funding

This research received no external funding.

Data Availability Statement

The data presented in this study are available in the article.

Conflicts of Interest

The authors declare no conflict of interest.

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Figure 1. Flowchart of speech emotion recognition.
Figure 1. Flowchart of speech emotion recognition.
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Figure 2. The original speech signal, the VAD processed, and the TEO processed speech signal. (a) the anger speech signal is processed by VAD and TEO; (b) the calm speech signal is processed by VAD and TEO; (c) the disgust speech signal is processed by VAD and TEO; (d) the fear speech signal is processed by VAD and TEO.
Figure 2. The original speech signal, the VAD processed, and the TEO processed speech signal. (a) the anger speech signal is processed by VAD and TEO; (b) the calm speech signal is processed by VAD and TEO; (c) the disgust speech signal is processed by VAD and TEO; (d) the fear speech signal is processed by VAD and TEO.
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Figure 3. Flowchart of MFCC and IMFCC feature extraction.
Figure 3. Flowchart of MFCC and IMFCC feature extraction.
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Figure 4. Diagram of the structure of the Mel filter bank (a) and the IMel filter bank (b).
Figure 4. Diagram of the structure of the Mel filter bank (a) and the IMel filter bank (b).
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Figure 5. Frequency comparison plots of Mel frequency and IMel frequency.
Figure 5. Frequency comparison plots of Mel frequency and IMel frequency.
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Figure 6. Feature fusion for MFCC, IMFCC, and TEOC.
Figure 6. Feature fusion for MFCC, IMFCC, and TEOC.
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Figure 7. Diagram of the architecture of an LSTM.
Figure 7. Diagram of the architecture of an LSTM.
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Figure 8. (a) Model loss curve; (b) Model accuracy curve.
Figure 8. (a) Model loss curve; (b) Model accuracy curve.
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Figure 9. The confusion matrix plot of the results of the speech emotion recognition experiment.
Figure 9. The confusion matrix plot of the results of the speech emotion recognition experiment.
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Table 1. The CNN structure and parameters are shown in the table.
Table 1. The CNN structure and parameters are shown in the table.
Convolutional Layer ArchitectureStructural Parameters
Conv1Filters: 32; Kernel_size: 9
padding: ‘same’; Maxpooling: 2
Dropout: 0.25
Conv2Filters: 64; Kernel_size: 7
Padding: ‘same’; Maxpooling: 2
Dropout: 0.25
Conv3Filters: 128; Kernel_size: 5
Padding: ‘same’; Maxpooling: 2
Dropout: 0.25
Table 2. Speech statistics for various emotions in the RAVDESS database.
Table 2. Speech statistics for various emotions in the RAVDESS database.
Emotion WavCount
Neutral96
Calm192
Happy192
Sad192
Angry192
Fearful192
Disgust192
Surprise192
Total1440
Table 3. Parameters of the CNN_LSTM structure used in this paper.
Table 3. Parameters of the CNN_LSTM structure used in this paper.
Layer (Type)Output ShapeParam
Conv1D_1(None, 40, 32)320
Batch_normalization_1(None, 40, 32)128
Activation _1(None, 40, 32)0
Max_pooling1d_1(None, 20, 32)0
Dropout_1(None, 20, 32)0
Conv1D_2(None, 20, 64)14,400
Batch_normalization_2(None, 20, 64)256
Activation_2(None, 20, 64)0
Max_pooling1d_2(None, 10, 64)0
Dropout_2(None, 10, 64)0
Conv1D_3(None, 10, 128)41,088
batch_normalization_3(None, 10, 128)512
Activation_3(None, 10, 128)0
Max_pooling1d_3(None, 5, 128)0
Dropout_3(None, 5, 128)0
LSTM(None, 5, 32)20,608
Flatten(None, 160)0
Dense(None, 8)1288
Table 4. Comparison of studies by others based on MFCC.
Table 4. Comparison of studies by others based on MFCC.
PaperFeatureWAUA
Parry et al. [34]MFCCs + Mfcs + F0 + log-energy-53.08%
Jalal et al. [35]augmented by delta and delta-delta-56.2%
Koo et al. [36]MFCC+delta+ delta of acceleration64.47%-
Pratama et al. [37]MFCC-71.16%
Yadav et al. [38]MFCCS-73%
Ayadi et al. [39]MFCC73.33%-
Huang et al. [40]Frft_MFCC79.86%79.51%
This paperTEOC&I_MFCC92.99%92.88%
Table 5. The feature fusion proposed performs ablation experiments.
Table 5. The feature fusion proposed performs ablation experiments.
FeatureWAUA
MFCC75.64%76.46%
IMFCC79.92%79.79%
TEOC + MFCC73.73%73.54%
TEOC + iMFCC81.80%81.67%
TEOC + MFCC + IMFCC92.99%92.88%
Table 6. Comparison between other classification models and this paper based on RAVDESS.
Table 6. Comparison between other classification models and this paper based on RAVDESS.
PaperClassification ModelWAUA
Pastor et al. [41]CNNSelfAtt-70.92%
Yue et al. [42]Wav2Vec 2.080.01%80.07%
Alisamir et al. [43]W2V2-FT-82.20%
Chaudhari et al. [44]SSL+ transformer86.40%-
Luna-Jiménez et al. [45]xlsr-Wav2Vec2.0 + MLP86.70%-
Ye et al. [46]TIM-Net91.93%92.08%
This paperCNN_LSTM92.99%92.88%
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Wang, F.; Shen, X. Research on Speech Emotion Recognition Based on Teager Energy Operator Coefficients and Inverted MFCC Feature Fusion. Electronics 2023, 12, 3599. https://doi.org/10.3390/electronics12173599

AMA Style

Wang F, Shen X. Research on Speech Emotion Recognition Based on Teager Energy Operator Coefficients and Inverted MFCC Feature Fusion. Electronics. 2023; 12(17):3599. https://doi.org/10.3390/electronics12173599

Chicago/Turabian Style

Wang, Feifan, and Xizhong Shen. 2023. "Research on Speech Emotion Recognition Based on Teager Energy Operator Coefficients and Inverted MFCC Feature Fusion" Electronics 12, no. 17: 3599. https://doi.org/10.3390/electronics12173599

APA Style

Wang, F., & Shen, X. (2023). Research on Speech Emotion Recognition Based on Teager Energy Operator Coefficients and Inverted MFCC Feature Fusion. Electronics, 12(17), 3599. https://doi.org/10.3390/electronics12173599

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