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insight - Machine Learning - # Neural Vocoder with Improved Time-Frequency Representation Discriminators

High-Fidelity Vocoder with Time-Frequency Representation Discriminators


Core Concepts
This study proposes novel time-frequency representation discriminators, including Multi-Scale Sub-Band Constant-Q Transform (MS-SB-CQT) Discriminator and Multi-Scale Temporal-Compressed Continuous Wavelet Transform (MS-TC-CWT) Discriminator, to improve the synthesis quality of GAN-based vocoders.
Abstract

The study focuses on improving the discriminator part of GAN-based vocoders to enhance the synthesis quality. The key highlights are:

  1. The authors propose the MS-SB-CQT Discriminator and MS-TC-CWT Discriminator to utilize the Constant-Q Transform (CQT) and Continuous Wavelet Transform (CWT), respectively, which have dynamic time-frequency resolution compared to the commonly used Short-Time Fourier Transform (STFT).

  2. The Sub-Band Processor (SBP) module is designed to address the temporal desynchronization issue in the CQT spectrogram, and the Temporal Compressor (TC) module is proposed to compress the high-dimensional CWT spectrogram.

  3. The authors also introduce Multi-Basis Processing for the CWT-based discriminator to leverage different wavelet bases, and a joint training strategy to integrate the STFT-, CQT-, and CWT-based discriminators.

  4. Experiments on both speech and singing voice datasets confirm the effectiveness of the proposed discriminators. Integrating them can boost the synthesis quality of various state-of-the-art GAN-based vocoders, including HiFi-GAN, BigVGAN, and APNet.

  5. The ablation studies demonstrate the necessity of the Sub-Band Processor module and the Multi-Basis Processing technique. The analysis on the learned representations shows that the SBP module can apply dynamic attention to different frequency bands.

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Stats
The synthesis quality, measured by PESQ, can be improved by up to 0.144 for seen singers and 0.094 for unseen singers. The F0 accuracy, measured by F0RMSE, can be improved by up to 20.365 cents for seen singers and 17.149 cents for unseen singers. The phase distortion, measured by Periodicity, can be reduced by up to 0.0095 for seen singers and 0.0087 for unseen singers. The subjective preference test shows up to 48.37% improvement for seen singers and 56.48% improvement for unseen singers.
Quotes
"To pursue high-quality GAN-based vocoders, the existing studies aim to improve both the generator and the discriminator." "To make the CQT feasible with the discriminator, we propose a Sub-Band Processor for CQT to tackle the temporal desynchronization issue in the CQT spectrogram." "To make the CWT feasible with the GAN-based framework, we propose a Temporal Compressor for CWT to compress the high-dimensional CWT spectrogram into the low-dimensional latent representation."

Deeper Inquiries

How can the proposed time-frequency representation discriminators be extended to other audio generation tasks beyond vocoders, such as music synthesis or sound effects generation?

The proposed time-frequency representation discriminators, namely the Multi-Scale Sub-Band Constant-Q Transform (MS-SB-CQT) Discriminator and the Multi-Scale Temporal-Compressed Continuous Wavelet Transform (MS-TC-CWT) Discriminator, can be extended to other audio generation tasks beyond vocoders by adapting their design principles to suit the requirements of different tasks. For music synthesis, the discriminators can be modified to focus on capturing the harmonic structures, rhythm patterns, and tonal qualities specific to music. By adjusting the TF resolution and frequency distribution parameters, the discriminators can effectively analyze and discriminate musical features, enabling high-fidelity music synthesis. Additionally, incorporating musical theory and knowledge into the discriminator design can enhance its ability to model complex musical elements. For sound effects generation, the discriminators can be tailored to identify and discriminate specific sound characteristics such as timbre, pitch variations, and transient sounds. By training the discriminators on a diverse set of sound effects data, they can learn to differentiate between different types of sounds and provide feedback to the generator for generating realistic and varied sound effects. Techniques like multi-resolution processing and multi-basis processing can be adapted to capture the unique features of sound effects and improve the quality of synthesized effects. In essence, by customizing the discriminators' architecture, training data, and evaluation metrics to align with the requirements of music synthesis or sound effects generation, the proposed discriminators can be effectively extended to these audio generation tasks, enhancing the quality and realism of the generated audio.

What are the potential limitations of the current approach, and how could it be further improved to handle more complex audio signals or achieve even higher synthesis quality?

While the proposed time-frequency representation discriminators show promising results in improving vocoder synthesis quality, there are potential limitations and areas for improvement to handle more complex audio signals and achieve higher synthesis quality: Complexity of Audio Signals: The current approach may struggle with highly complex audio signals that contain multiple instruments, vocals, and intricate harmonics. To address this, the discriminators could be enhanced with more sophisticated neural network architectures capable of capturing intricate audio features and interactions. Generalization to Unseen Data: The discriminators may face challenges in generalizing to unseen data, leading to potential artifacts or inaccuracies in synthesized audio. Techniques like data augmentation, transfer learning, and domain adaptation could be employed to improve generalization and robustness to diverse audio inputs. Realism and Naturalness: Achieving natural and realistic audio synthesis remains a challenge. Fine-tuning the discriminators to focus on capturing subtle nuances, dynamics, and expressiveness in audio signals can enhance the overall realism of the synthesized audio. Computational Efficiency: Training and utilizing multiple discriminators can be computationally intensive. Implementing optimization techniques, model compression, and parallel processing can improve efficiency without compromising synthesis quality. To address these limitations and enhance the approach, future research could explore advanced neural network architectures, incorporate domain-specific knowledge, leverage larger and more diverse datasets, and integrate feedback mechanisms for iterative improvement. By continuously refining the discriminators and optimizing the training process, the approach can evolve to handle more complex audio signals and achieve even higher synthesis quality.

Given the complementary roles of the STFT-, CQT-, and CWT-based discriminators, are there any other time-frequency analysis techniques that could be explored to further enhance the discriminator's capabilities?

Building on the complementary roles of Short-Time Fourier Transform (STFT), Constant-Q Transform (CQT), and Continuous Wavelet Transform (CWT) in enhancing the discriminator's capabilities, several other time-frequency analysis techniques could be explored to further improve the discriminator's performance: Sparse Time-Frequency Representations: Techniques like Sparse Time-Frequency Representations (e.g., Matching Pursuit, Sparse Coding) can capture sparse and localized features in audio signals, providing additional discriminative information for the discriminator. Time-Frequency Distributions: Utilizing advanced Time-Frequency Distributions (e.g., Wigner-Ville Distribution, Cohen's Class Distributions) can offer a more detailed representation of time-varying spectral content, enhancing the discriminator's ability to capture complex signal dynamics. Adaptive Time-Frequency Analysis: Adaptive Time-Frequency Analysis methods (e.g., Empirical Mode Decomposition, Synchrosqueezing Transform) can adaptively decompose signals into time-frequency components, allowing the discriminator to focus on specific signal characteristics based on their time-varying nature. Nonlinear Time-Frequency Representations: Exploring Nonlinear Time-Frequency Representations (e.g., Hilbert-Huang Transform, Reassigned Spectrogram) can capture nonlinear and non-stationary signal components, enabling the discriminator to handle more complex audio signals with varying dynamics. By integrating these advanced time-frequency analysis techniques into the discriminator framework and leveraging their unique capabilities, the discriminator can gain a more comprehensive understanding of audio signals, leading to improved discrimination performance and enhanced synthesis quality.
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