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Deep Learning for Tube Amplifier Emulation (1811.00334v2)

Published 1 Nov 2018 in eess.AS and cs.SD

Abstract: Analog audio effects and synthesizers often owe their distinct sound to circuit nonlinearities. Faithfully modeling such significant aspect of the original sound in virtual analog software can prove challenging. The current work proposes a generic data-driven approach to virtual analog modeling and applies it to the Fender Bassman 56F-A vacuum-tube amplifier. Specifically, a feedforward variant of the WaveNet deep neural network is trained to carry out a regression on audio waveform samples from input to output of a SPICE model of the tube amplifier. The output signals are pre-emphasized to assist the model at learning the high-frequency content. The results of a listening test suggest that the proposed model accurately emulates the reference device. In particular, the model responds to user control changes, and faithfully restitutes the range of sonic characteristics found across the configurations of the original device.

Citations (54)

Summary

  • The paper proposes a WaveNet-based deep learning model adapted for regression to accurately emulate the complex nonlinear characteristics of a tube amplifier.
  • Evaluations show the model achieves superior accuracy compared to other black-box models, particularly under high distortion, and runs faster than real-time.
  • The method effectively integrates user controls and offers a viable framework for high-fidelity, real-time digital emulation of various analog audio devices.

Deep Learning for Tube Amplifier Emulation

The paper "Deep Learning for Tube Amplifier Emulation" presents a sophisticated approach to virtual analog modeling focused on emulating the distinctive sound characteristics of the Fender Bassman 56F-A vacuum-tube amplifier using a feedforward variant of the WaveNet deep neural network. The paper centers around the challenges posed by the nonlinear behaviors inherent in analog audio circuits, which are crucial to reproducing their signature sounds accurately in digital formats.

Methodology

The methodology proposed leverages a WaveNet architecture, which is a convolutional neural network originally designed for audio generation tasks. It consists of dilated causal convolution layers coupled with a fully-connected post-processing module that has been adapted for regression tasks. This adaptation allows the model to predict the audio waveform output of the tube amplifier circuit based on its input audio signal. The architecture is enhanced with local conditioning to integrate user control settings directly into the model, facilitating the representation of various amplifier configurations within a single model.

Data and Training

Training data is generated using a SPICE model of the Fender Bassman preamplifier circuit, widely accepted as an accurate representation of the real analog hardware in virtual analog modeling literature. Audio signals processed through this SPICE model serve as the target output for the neural network during training, aided by pre-emphasis filtering to emphasize high-frequency components—a notable consideration to ensure high-fidelity reproduction across the frequency spectrum.

Evaluation

The evaluation of the proposed model is thorough, incorporating both objective metrics and subjective listening tests. The Error-to-Signal Ratio (ESR) is employed as an objective measure, demonstrating superior performance of the WaveNet-based model particularly in conditions of higher nonlinear distortion. Furthermore, the model is benchmarked against existing state-of-the-art black-box and multilayer perceptron models, revealing its significant advantage in terms of accuracy. In terms of computational efficiency, the model runs faster than real time on standard hardware, suggesting its viability for real-time applications in music production environments.

The subjective listening test employs a MUSHRA protocol to assess perceptual fidelity to the analog reference, underscoring the model's excellence in capturing the sonic characteristics of the original tube amplifier across different input conditions.

Implications and Future Work

The implications of this research are pertinent to the domain of music technology and audio processing, where there is an increasing demand for high-quality digital emulations of vintage equipment used by musicians and audio engineers. The ability to integrate user controls within an emulation model without compromising performance or fidelity represents a notable advancement.

Future developments could extend this methodology to a broader array of analog devices, potentially incorporating real-world training datasets to further refine model accuracy and versatility. Moreover, exploring efficient deployment strategies for low-latency real-time applications could broaden the practical utility of this approach.

In conclusion, this work provides a compelling data-driven framework for the emulation of nonlinear audio circuits, and its findings contribute meaningfully to the synthesis and emulation discussions prevalent in contemporary digital audio research.

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