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  6. Statistical Mathematics of Ultrasonic Data (Analysis using R Language and Environment)

Statistical Mathematics of Ultrasonic Data (Analysis using R Language and Environment)

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last updated:Dec 03, 2024

超音波システム研究所
超音波システム研究所
  • Official site

To stabilize the effects of cavitation, a statistical perspective is essential.

The Ultrasonic System Research Institute is developing technologies related to effective "measurement, analysis, and evaluation methods" utilizing a <statistical approach> in the field of ultrasonic applications. <About the statistical approach> Statistical mathematics has both abstract and concrete aspects, and through contact with concrete entities, abstract thoughts or methods are developed. This is the characteristic of statistical mathematics. Regarding ultrasonic research, "a statistical perspective is essential for stabilizing the effects of cavitation." <About models> Models are constructed with the aim of effectively advancing understanding, prediction, control, etc., regarding the subject. Constructing an accurate model is difficult, and discussions are always conducted using a suitably "rounded" representation of the complexity of the subject. In that sense, the process of constructing or building a model requires statistical thinking. Propagation characteristics of ultrasound: 1) Detection of vibration modes (changes in autocorrelation) 2) Detection of nonlinear phenomena (changes in bispectrum) 3) Detection of response characteristics (analysis of impulse response characteristics) 4) Detection of interactions (analysis of power contribution rates)

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Statistical Mathematics of Ultrasonic Data (Analysis using R Language and Environment)

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  • Related Link - http://ultrasonic-labo.com/?p=12202

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basic information

**Analysis and Evaluation of Ultrasonic Sound Pressure Data** 1) Regarding time series data, we will analyze and evaluate the statistical properties of the measurement data (stability and changes of ultrasound) through feedback analysis using a multivariate autoregressive model. 2) The effects of the oscillation part due to ultrasonic oscillation will be analyzed and evaluated in relation to the surface condition of the target object through impulse response characteristics and autocorrelation analysis. 3) The interaction between the oscillation and the target object (cleaning items, cleaning solution, water tank, etc.) will be evaluated through the analysis of power contribution rates. 4) Concerning the use of ultrasound (cleaning, processing, stirring, etc.), we will analyze and evaluate the dynamic characteristics of ultrasound based on the nonlinear phenomena (results of bispectral analysis) of the ultrasound propagating through the target object (propagation of surface elastic waves) or the target liquid, which are the main factors of the ultrasonic effect. This analysis method is realized based on past experiences and achievements by adapting the dynamic characteristics of complex ultrasonic vibrations to the analysis methods of time series data. Note: The following tools will be used for the analysis. Note: TIMSAC

Price information

System Overview (Recommended System: Ultrasonic Tester NA) 1. Price: 198,000 yen (including tax: 10% consumption tax) 2. Contents - One dedicated probe for measuring sound pressure of ultrasonic cleaners - One general-purpose ultrasonic measurement probe - One oscilloscope set - One set of analysis software, instruction manual, and various installation sets (USB memory) 3. Features (for standard specifications) - Measurement (analysis) frequency range Specification: 0.1 Hz to 10 MHz - Measurement results displayed in graph form - Attached software for time-series data analysis

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Applications/Examples of results

2008. 8 Establishment of the Ultrasonic System Research Institute ... 2012. 1 Start of manufacturing and sales of ultrasonic measurement and analysis system (Ultrasonic Tester NA) ... 2024. 2 Development of surface treatment technology using megahertz ultrasound 2024. 4 Development of optimization technology for resonance phenomena and nonlinear phenomena 2024. 5 Development of optimization technology related to the combination of sound and ultrasound 2024. 6 Development of optimization and evaluation technology concerning tanks, ultrasound, and liquid circulation 2024. 7 Development of an ultrasonic probe using components with iron plating on polyimide film 2024. 8 Development of a "megahertz ultrasound control" method applying Shannon's juggling theorem 2024. 9 Development of acoustic flow control technology using a portable ultrasonic cleaner 2024. 10 Development of "vibration technology" utilizing megahertz ultrasound 2024. 10 Development of an ultrasonic oscillation control probe using a stainless steel vacuum double-structure container 2024. 11 Development of megahertz flow-type ultrasound (underwater shower) technology 2024. 11 Development of ultrasonic sound pressure data analysis and evaluation technology considering interaction and response characteristics

Detailed information

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    Statistical Mathematics of Ultrasonic Data

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    Statistical Mathematics of Ultrasonic Data

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    Statistical Mathematics of Ultrasonic Data

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    Statistical Mathematics of Ultrasonic Data

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    Statistical Mathematics of Ultrasonic Data

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    Statistical Mathematics of Ultrasonic Data

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    Statistical Mathematics of Ultrasonic Data

catalog(31)

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Ultrasonic sound pressure measurement, analysis, and evaluation - cavitation, acoustic flow, various interactions...

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Plating method using ultrasound and fine bubbles

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Technology for analyzing time series data through ultrasonic sound pressure measurement (R language) — Feedback analysis using autoregressive models —

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Ultrasonic sound pressure data analysis technology (feedback analysis technology using multivariate autoregressive models)

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Ultrasonic plating technology (Japan Barrel Industry Co., Ltd., Ultrasonic System Research Institute)

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Statistical Mathematics of Ultrasonic Data (Analysis using the free statistical processing language and environment "R")

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Case Study of Ultrasonic Sound Pressure Measurement Analysis No. 5

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Technology that utilizes dynamic nonlinear phenomena of ultrasound by striking - ver2

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Online Seminar Text: Fundamentals of Ultrasonic Cleaning Technology and Troubleshooting

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Improvement and enhancement of ultrasonic devices <Measurement, analysis, and evaluation of sound pressure data> Ver2

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Ultrasonic Shower (Acoustic Flow Control) Technology - Ver2

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Analysis and evaluation of ultrasonic sound pressure data (evaluation technology for ultrasonic propagation state based on interaction, response characteristics, and nonlinearity)

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Ultrasound sound pressure data analysis: autocorrelation and bispectrum - Ver3

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Cleaning technology using ultrasound and fine bubbles (microbubbles) - Ver3

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Ultrasonic cleaning (control of nonlinear phenomena) technology Ver3 - Precision cleaning technology using fine bubbles and acoustic flow -

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Function generator oscillation of ultrasonic transducer (megahertz sweep oscillation technology) - Ver5

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Dynamic Control Technology of Acoustic Flow - Ver3

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Ultrasonic Technology Utilizing Statistical Thinking - Ver2

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Optimization and evaluation technology related to water tanks, ultrasound, and liquid circulation.

Optimization and evaluation technology related to water tanks, ultrasound, and liquid circulation.

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Technology for adding megahertz ultrasound to ultrasonic cleaners—dynamic control of ultrasound based on acoustic pressure measurement analysis.

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Development and manufacturing technology for new ultrasonic propagation tools utilizing plating technology (Nihon Barrel Industry Co., Ltd.) - Ver2

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Ultrasound sound pressure data analysis procedure document (using the free statistical processing language and environment "R")

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Ultrasound sound pressure measurement analysis system (ultrasound tester): Nonlinear analysis of ultrasound (bispectrum) operation manual.

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About ultrasonic sound pressure data and sound pressure graphs.

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Feedback Analysis Technique Using Multivariate Autoregressive Model No. 2

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Ultrasonic sound pressure measurement analysis data

Ultrasonic sound pressure measurement analysis data

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Ultrasound Technology (R Language) Utilizing Statistical Thinking

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Ultrasonic equipment's <sound pressure measurement, analysis, and evaluation> (onsite) service

Ultrasonic equipment's <sound pressure measurement, analysis, and evaluation> (onsite) service

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News about this product(60)

Sound pressure measurement analysis data

Release of ultrasonic 'sound pressure measurement analysis data'

  • Other・notification

The Ultrasonic System Research Institute has published measurement and analysis data on ultrasonic sound pressure using its original product: an ultrasonic tester. << Measurement and Analysis of Ultrasonic Sound Pressure >> 1) By using feedback analysis through a multivariate autoregressive model, we will examine and evaluate the stability and changes of ultrasonic waves (many ultrasonic cleaning devices have issues in this regard). 2) Through the analysis of impulse response characteristics and autocorrelation, we will conduct examinations and evaluations related to tanks, transducers, and tooling (these are the most important parameters in ultrasonic processing). 3) By analyzing power contribution rates, we will examine and evaluate the optimization of ultrasonic (frequency and output), tanks, and liquid circulation (this examination is crucial for mass production devices). 4) Through nonlinear (bispectral) analysis of other factors (propagation of surface elastic waves), we will conduct examinations and evaluations tailored to the target object for cleaning, stirring, dispersion, and modification (this is necessary for research and development of ultrasonic utilization methods, including applications in nanotechnology). This analysis method is realized by adapting the measurement data to the dynamic characteristics of complex ultrasonic vibrations.

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Ultrasound system

Ultrasonic system using a degassed fine bubble generation liquid circulation device

  • Other・notification

(Development of a control system based on ultrasonic measurement and analysis) The Ultrasonic System Research Institute has developed a technology that applies the measurement and analysis of the state of ultrasonic waves propagating in a liquid within an ultrasonic tank to set and control the propagation state of ultrasonic waves according to specific purposes, considering the influences of the tank's structure, strength, manufacturing conditions, and the state of liquid circulation. This technology analyzes and evaluates the dynamic characteristics of complex ultrasonic vibrations (Note 1) in relation to various factors, allowing for the setting of cavitation and acceleration effects according to specific objectives through the method of setting the circulation pump (Note 2). Note 1: This utilizes the original technology of the Ultrasonic System Research Institute, which considers "tone" in its "ultrasonic oscillation control" technology. Note 2: The know-how involves the relationship concerning the boundaries between the tank, circulating liquid, and air. It can also be applied to tanks that do not have an overflow structure. As a specific application, it is possible to set and control the propagation state of ultrasonic waves in the current tank to optimize the effects of cavitation and acceleration for the intended purpose as a power spectrum.

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Ultrasonic tester

We provide manufacturing technology for ultrasonic sound pressure measurement analysis systems—evaluation technology for ultrasonic propagation characteristics.

  • Company news

The Ultrasonic System Research Institute manufactures and sells the "Ultrasonic Tester NA (Recommended Type)," which allows for easy measurement and analysis of ultrasonic waves. We provide manufacturing technology and data analysis and evaluation technology, including know-how for this system. System Overview (Recommended System: Ultrasonic Tester NA) 1. Price: 198,000 yen (including tax: 10% consumption tax) 2. Contents: - One dedicated probe for measuring sound pressure of ultrasonic cleaners - One general-purpose ultrasonic measurement probe - One oscilloscope set - One set of analysis software, instruction manual, and various installation sets 3. Features (for standard specifications): * Measurement (analysis) frequency range: Specification: 0.1 Hz to 10 MHz * Ultrasonic oscillation: Specification: 1 Hz to 100 kHz * Capable of measuring surface vibrations * Continuous measurement for 24 hours is possible * Simultaneous measurement of any two points * Measurement results displayed in graphs * Analysis software for time-series data included Ultrasonic Propagation Characteristics: 1) Detection of vibration modes (changes in autocorrelation) 2) Detection of nonlinear phenomena (changes in bispectrum) 3) Detection of response characteristics (analysis of impulse response) 4) Detection of interactions

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Self-correlation and bispectrum

Analysis and evaluation of ultrasonic sound pressure data

  • Product news

The Ultrasonic System Research Institute conducts consulting related to the use of ultrasound by applying feedback analysis technology based on multivariate autoregressive models, utilizing a technique for measuring, analyzing, and evaluating the propagation state of ultrasound. By organizing the measurements, analyses, and results obtained using ultrasonic testers in chronological order, we establish and confirm new evaluation criteria (parameters) that indicate the appropriate state of ultrasound for specific purposes. Note: Nonlinear characteristics (dynamic characteristics of acoustic flow), response characteristics, fluctuation characteristics, effects due to interactions, etc. By developing original measurement and analysis methods that consider the acoustic properties of the target object and surface elastic waves, we deepen our understanding of the relationships between various detailed effects related to vibrational phenomena, referencing statistical mathematical concepts. As a result, there is an increasing number of cases demonstrating the effectiveness of new nonlinear parameters related to the propagation state of ultrasound and the surface of the target object, such as changes in bispectrum and changes in autocorrelation. In particular, evaluation cases related to cleaning, processing, and surface treatment effects lead to successful control and improvement based on good confirmations.

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Company information

超音波システム研究所

超音波システム研究所

Service Industry

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The Ultrasonic System Research Institute conducts the following activities with its original product: ultrasonic systems (sound pressure measurement analysis, oscillation control): 1) Manufacturing and sales of ultrasonic systems (sound pressure measurement analysis, oscillation control) 2) Consulting services for various equipment (Note): cleaning machines, stirring devices, processing equipment, machine tools, plating devices, welding devices, etc. Ultrasonic System (Sound Pressure Measurement Analysis, Oscillation Control) We manufacture and sell a system that combines the "Ultrasonic Tester NA (recommended type)" for easy measurement and analysis of ultrasonic waves and the "Ultrasonic Oscillation System (1 MHz, 20 MHz)" for easy oscillation control. <Patent Applications Filed> Patent Application No. 2021-125866: Ultrasonic Control (Ultrasonic Oscillation Control Probe) Patent Application No. 2021-159990: Ultrasonic Welding Patent Application No. 2021-161532: Ultrasonic Plating Patent Application No. 2021-171909: Ultrasonic Processing Patent Application No. 2021-175568: Flow-type Ultrasonic Cleaning Some of the manufacturing technology for the ultrasonic oscillation control probe is described in Patent Application No. 2021-125866. Patent Application No. 2023-195514: Ultrasonic Plating Using Megahertz Ultrasonic Waves and Fine Bubbles.

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