Device-Supported Computation of Systems of Equations

Simple SummaryContent extracted from patent full text and abstract with AI.

This invention describes a specialized computing device and method for efficiently solving systems of equations that require both multiplication and division operations, particularly in the context of simulating physical systems such as musical instruments. The core idea is to use multiple memory cells with specific lengths (bit widths) and optimize the multiplication and division operations using hardware-efficient techniques, such as bit shifting (downcasting), to prevent memory overflow and to achieve real-time calculations. The invention is particularly suited for modeling and real-time sound synthesis of musical instruments on hardware like FPGAs (Field Programmable Gate Arrays), Digital Signal Processors (DSPs), and related systems.

Use CasesContent extracted from patent full text and abstract with AI.

• Real-time physical modeling and sound synthesis of musical instruments (e.g., guitars, banjos, drums) for music production and digital instrument design.
• Simulation of vibroacoustic behavior in engineering structures (e.g., bridges, buildings) for civil or mechanical engineering analysis.
• Implementation of efficient solvers for ordinary and partial differential equations in embedded or hardware systems where computational resources are limited.
• Interactive computer-aided design (CAD) tools for instrument makers or engineers to predict and modify the sonic or vibrational characteristics of structures before fabrication.
• Development of advanced musical software synthesizers and hardware synthesizer modules capable of responsive, physics-based sound generation.
• Scientific research on physics, psychoacoustics, and materials science, where fast and accurate simulation of complex systems is needed.

BenefitsContent extracted from patent full text and abstract with AI.

• Enables highly efficient real-time calculation of complex equation systems, even with limited hardware resources, by minimizing the need for computationally expensive division operations.
• Prevents numerical overflow and improves calculation stability through smart memory handling and bitwidth management.
• Facilitates realistic and dynamic modeling of geometries and material properties, allowing for live modification and auralization (making audible) of physical systems.
• Supports large-scale parallel processing, enabling detailed simulations of complex coupled systems (like the multiple parts of a musical instrument).
• Provides flexibility for both software and hardware implementations, broadening applicability from research to commercial music production and embedded device fields.
• Reduces the need for pre-recorded sound samples in musical instrument simulation, allowing for greater variability and expressiveness in digital instruments.
• Allows engineers and instrument makers to test and iterate on designs virtually, saving time and material costs.

Technical Classifications (CPCs)

Inventors & Applicants

Patent Abstract

The invention relates to a calculating device for calculating a system equations, having at least one multiplication and at least one division. A calculating device (213a, 213b, 213c) is set up such that a first value is stored in a first storage cell (k), such that when the first value is multiplied by the second value of a second storage cell, a storage cell length of the second storage cell (a) is exhausted, and that when the storage cell length of the second storage cell (a) is truncated, a division by a prescribed divisor is performed.