Abstract

Lossy audio codecs compress (and decompress) digital audio streams by removing information that tends to be inaudible in human perception. Under high compression rates, such codecs may introduce a variety of impairments in the audio signal. Many works have tackled the problem of audio enhancement and compression artifact removal using deep-learning techniques. However, only a few works tackle the restoration of heavily compressed audio signals in the musical domain. In such a scenario, there is no unique solution for the restoration of the original signal. Therefore, in this study, we test a stochastic generator of a Generative Adversarial Network (GAN) architecture for this task. Such a stochastic generator, conditioned on highly compressed musical audio signals, could one day generate outputs indistinguishable from high-quality releases. Therefore, the present study may yield insights into more efficient musical data storage and transmission. We train stochastic and deterministic generators on MP3-compressed audio signals with 16, 32, and 64 kbit/s. We perform an extensive evaluation of the different experiments utilizing objective metrics and listening tests. We find that the models can improve the quality of the audio signals over the MP3 versions for 16 and 32 kbit/s and that the stochastic generators are capable of generating outputs that are closer to the original signals than those of the deterministic generators.

Highlights

  • We find that the models can improve the quality of the audio signals over the MP3 versions for 16 and 32 kbit/s and that the stochastic generators are capable of generating outputs that are closer to the original signals than those of the deterministic generators

  • Inspired by a recent work demonstrating that DNNs implementing complex operators [58] may outperform previous architectures in many audio-related tasks, new state-of-the-art performances were achieved on speech enhancement using complex representations of audio data [14,15]

  • The main representation used in the proposed method are the complex STFT components of the audio data h j,k ∈ C JK, as it has been shown that this representation works well for audio generation with Generative Adversarial Network (GAN) in [67]

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Summary

Introduction

Publisher’s Note: MDPI stays neutral with regard to jurisdictional claims in published maps and institutional affiliations. Most of the works in this line of research tackle the enhancement of speech signals [7,8,9,10,12,13,14,15,16,17,18], and only a few publications exist for musical audio restoration [11,19,20,21]. It has already been shown that strong generative models can enhance heavily corrupted speech through resynthesis with neural vocoders [22] Along these lines, examining a generative (i.e., stochastic) decoder for heavily compressed audio signals may contribute to insights about more efficient musical data storage and transmission. Audio examples of the work are provided in the accompanying website (Available online: https://sonycslparis.github.io/restoration_mdpi_suppl_mat/ (accessed on 4 June 2021)

Related Work
Bandwidth Extension
Audio Enhancement
Materials and Methods
Model Architecture
Architecture Details
Gated Convolutions
Frequency Aggregation Filters
Training Procedure
Preventing Mode Collapse
Data Representation
Evaluation
Objective Difference Grade and Distortion Index
Log-Spectral Distance
Mean Squared Error
Signal-to-Noise Ratio
Mean Opinion Score
Results and Discussion
Objective Evaluation
Informal Listening
Formal Listening
Conclusions and Future Work
Author Biography

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