Electronic Piano Tone Synthesis Using Coupled Vibration Models
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Solution Overview
Problem
Existing electronic musical instruments fail to accurately simulate the nuances of acoustic piano tones, particularly the influence of pedals, resulting in synthesized tones that do not closely resemble those produced by acoustic instruments.
Innovation Solution
A tone signal generating system that incorporates a three-dimensional coupled vibration model and acoustic radiation model to simulate the complex vibrations and sound radiation of acoustic piano tones, including the effects of damper and soft pedals, by calculating force and displacement data on vibratory wires and the instrument body, and convolving velocity data with impulse responses to produce sound pressure.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Device complexity
If a simple string model is used for tone synthesis, then the device complexity is reduced, but the realism of synthesized tones deteriorates
Solution Approach 1:
The patent segments the complex vibration system into distinct components: string vibration module, bridge vibration module, and soundboard vibration module. Each module is modeled separately with appropriate physical parameters, allowing the system to capture complex acoustic behaviors while maintaining computational efficiency through modular structure.
Solution Approach 2:
The patent transitions from one-dimensional string vibration models to two-dimensional bridge and soundboard vibration models. This dimensional expansion enables the simulation of plate vibrations and complex mode shapes that cannot be captured by simple string models alone, significantly improving tone realism.
2Adaptability or versatility
If pedal effects are completely simulated, then the expressiveness of electronic piano tones is improved, but the computational load and processing time increase
Solution Approach 1:
The patent pre-calculates and stores impulse response characteristics for different pedal states (damper pedal positions, soft pedal on/off). During actual performance, these pre-computed responses are retrieved and applied through convolution operations, avoiding real-time computation of complex pedal mechanics while preserving authentic pedal effects.
Solution Approach 2:
The patent implements dynamic pedal simulation where the damper pedal position continuously modulates the damping parameters of the string and soundboard models. The soft pedal dynamically alters the hammer-string interaction parameters. This dynamic adjustment allows expressive pedal techniques to be simulated in real-time with optimized computational efficiency.
Applied Scientific Principles
This section explains which scientific principles are used to turn an abstract innovation direction into a practical engineering solution.
Function Achieved in This Case
The system produces tone signals that closely resemble acoustic piano tones, capturing the nuances imparted by pedal techniques and reducing unwanted ringing sounds, thereby enhancing the realism and expressiveness of electronic piano tones.
Implementation Method 1
the vibrations of wires are simulated on the basis of a string model, and the vibrations of bridges and a sound board, which the vibrating wires give rise to, are simulated on the basis of a sound board model
Implementation Method 2
A first resonating signal is produced for resonance with the lateral vibrations through one of the resonance simulating modules, and a second resonating signal is produced for resonance with the longitudinal vibrations through the other of the resonance simulating modules
Data Source
AI summary
An electronic piano includes a tone signal synthesizing system implemented by software, keys and key sensors monitoring the keys and reporting the key positions to the tone signal synthesizing system, and the tone signal synthesizing system includes damper model calculating modules for determining resistance against vibrations of wires of an a piano, a hammer model calculating module for determining force exerted on the wires, string model calculating modules for determining force exerted on an instrument body of the piano by the wires on the basis of the resistance and force exerted on the wires, an instrument body model calculating module for determining displacements of instrument body on the basis of the force exerted on the instrument body and an air model calculating module for determining a sound pressure at an observation point from the displacement of instrument body.