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Updated: May 6, 2026

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Published on: March 13, 2026
An extended lumped-element model and parameter estimation technique to predict loudspeaker responses with possible
Jason D Sagers1, Timothy W Leishman, Jonathan D Blotter
1Acoustics Research Group, Department of Mechanical Engineering, 435 Crabtree Building, Brigham Young University, Provo, Utah 84602.
This study introduces an improved lumped-element model for loudspeakers, accurately predicting mid-frequency behavior and the "surround dip" phenomenon. This enhanced model offers better vibration and radiation characteristic estimations for moving-coil drivers.
Area of Science:
- Acoustics
- Mechanical Engineering
- Signal Processing
Background:
- Lumped-element models are standard for loudspeaker vibration analysis.
- Classical models simplify driver elements, predicting only one resonance.
- They fail to predict mid-frequency phenomena like the
- surround dip
- .
Purpose of the Study:
- To develop an extended lumped-element model for loudspeakers.
- To accurately characterize distinct driver components (diaphragm, surround, spider).
- To predict mid-frequency behavior and the surround dip phenomenon.
Main Methods:
- Developed an extended lumped-element model for a loudspeaker in a rigid baffle.
- Introduced parameter estimation using scanning laser Doppler vibrometry.
- Employed a surround resonance indicator function and constrained optimization.
Main Results:
- The extended model effectively predicts mid-frequency responses.
- The model accurately forecasts the "surround dip" in radiated pressure.
- Validated predictions against on-axis pressure measurements in an anechoic environment.
Conclusions:
- The extended lumped-element model offers superior prediction of loudspeaker vibration and radiation.
- This model accurately captures the surround dip, a limitation of classical approaches.
- The proposed parameter estimation method is effective for baffled loudspeaker systems.
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