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Updated: Aug 27, 2025

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Published on: November 26, 2012
Psychoacoustic optimization of a robust feedback active noise controller for headphones
Roman Schlieper1, Song Li1, Stephan Preihs1
1Institute of Communications Technology (IKT), Gottfried Wilhelm Leibniz Universität Hannover, Hannover, Germany schlieper@ikt.uni-hannover.de, song.li@ikt.uni-hannover.de, preihs@ikt.uni-hannover.de, peissig@ikt.uni-hannover.de.
This study optimized feedback (FB) controllers for headphones using a genetic algorithm (GA). While effective for sound pressure level (SPL) and loudness, GA optimization for perceived sharpness yielded limited success.
Area of Science:
- Acoustics and Audio Engineering
- Control Systems Engineering
- Signal Processing
Background:
- Active noise cancellation in headphones often uses feedback (FB) controllers.
- Designing broadband FB controllers requires careful tuning to address noise across various frequencies.
- Mixed-sensitivity H-infinity control offers a robust framework for controller design.
Purpose of the Study:
- To develop an optimization routine using a genetic algorithm (GA) for mixed-sensitivity H-infinity feedback controllers.
- To evaluate the effectiveness of GA-optimized controllers targeting different acoustic metrics: sound pressure level (SPL), perceived loudness, and perceived sharpness.
- To assess the performance of controllers designed for headphones with varying spectral characteristics.
Main Methods:
- Implementation of a genetic algorithm (GA) for optimizing the boundaries of a mixed-sensitivity H-infinity controller.
- Design of feedback (FB) controllers with distinct target functions: SPL, perceived loudness, and perceived sharpness.
- Testing with audio signals exhibiting diverse spectral properties to evaluate controller performance.
Main Results:
- The genetic algorithm (GA) approach successfully optimized controllers for minimizing sound pressure level (SPL) and perceived loudness.
- Controllers optimized for perceived loudness and SPL demonstrated effective noise cancellation.
- Optimization targeting perceived sharpness yielded results that are only recommended to a limited extent, indicating challenges in precisely controlling this metric.
Conclusions:
- Genetic algorithm (GA) optimization is a viable method for designing feedback (FB) controllers for active noise cancellation in headphones, particularly for SPL and loudness targets.
- Controlling perceived sharpness using this optimization approach presents limitations and requires further investigation.
- The study highlights the trade-offs and challenges in optimizing controllers for multiple, potentially conflicting, acoustic perception goals.
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