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Graphical and Analytic Representation of Sinusoids01:20

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Analyzing two sinusoidal voltages with equal amplitude and period but different phases on an oscilloscope, an instrument used to display and analyze waveforms, involves a three-step process.
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The exponential function is crucial for characterizing waveforms that rise and decay rapidly. This continuous-time exponential function is defined using exponential terms with constants α and A. When both constants are real, the function is represented as,
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The Fourier Transform is a pivotal mathematical tool in signal processing, enabling the transformation of time-domain signals into their frequency-domain representations. Among the numerous elements within this domain, certain functions like the sinc function, delta function, and exponential signals hold significant importance due to their unique properties and implications.
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Direct current (DC) refers to an electric current that flows in a single direction, maintaining a constant polarity. This is in contrast to alternating current (AC), which periodically changes its direction and magnitude. AC forms the backbone of modern electricity transmission and distribution systems due to its efficient long-distance transmission capabilities.
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The Discrete Fourier Transform (DFT) is a fundamental tool in signal processing, extending the discrete-time Fourier transform by evaluating discrete signals at uniformly spaced frequency intervals. This transformation converts a finite sequence of time-domain samples into frequency components, each representing complex sinusoids ordered by frequency. The DFT translates these sequences into the frequency domain, effectively indicating the magnitude and phase of each frequency component present...
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Mathematically, the motion of a wave can be studied using a wavefunction. Consider a string oscillating up and down in simple harmonic motion, having a period T. The wave on the string is sinusoidal and is translated in the positive x-direction as time progresses. Sine is a function of the angle θ, oscillating between +A and −A and repeating every 2π radians. To construct a wave model, the ratio of the angle θ and the position x is considered.
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相关实验视频

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Cortical Bone Assessment Using Ultrasonic Guided Waves: A Reproducibility Study in a Healthy Population
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两维阵列正弦波导体用于生物识别测量

Homare Yamada1, Risa Kawai1, Risako Niwa2

  • 1Center for Applied Physics and Physico-Informatics, Graduate School of Fundamental Science and TechnologyKeio University Yokohama 223-8522 Japan.

IEEE open journal of engineering in medicine and biology
|July 14, 2025
PubMed
概括

研究人员开发了灵活的二维阵列正弦波 (TDAS) 导体,在拉伸和曲的情况下保持高电导率. 这些新型导体能够准确地检测指尖脉冲波,用于生理监测.

关键词:
生物仪器化是一种生物仪器化.灵活的导体 灵活的导体微型制造是指微型制造.一个二维数组的正弦波是正弦波.

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科学领域:

  • 材料科学 材料科学 材料科学
  • 电气工程 电气工程
  • 生物医学工程 生物医学工程

背景情况:

  • 灵活的导体对于个性化临床应用至关重要,要求高电导率和机械弹性.
  • 现有的材料在受到拉伸或曲应力时,往往会损害导电性.

研究的目的:

  • 开发和描述一种新的二维阵列正弦波 (TDAS) 导体.
  • 评估TDAS导体在机械应力 (拉伸和曲) 下的电性能.
  • 评估TDAS导体在生理监测应用中的潜力.

主要方法:

  • 在不同波长 (500-2000μm) 和振幅 (50-200μm) 的基板上微制造TDAS结构.
  • 将TDAS结构转移到二甲基聚氧和随后的黄金喷,以创建导电膜.
  • 在拉伸和曲负荷下进行电气表征,并测量光电脉冲波.

主要成果:

  • 具有200μm振幅的TDAS导体在拉伸和曲过程中表现出抑制的电阻增加.
  • 保持电导率超过30%,即使在显著的拉伸下.
  • 电子显微镜揭示了山谷中的小裂,这有助于材料的伸展性质.
  • 通过将TDAS导体与LED和光二极管集成,成功检测了指尖脉冲波.

结论:

  • 薄膜类型的TDAS导体为在机械应力下保持高导电性提供了一个有希望的解决方案.
  • 这些导体具有显著的潜力,可以在没有压力的情况下对内部器官和身体表面进行生理监测.
  • 能够在可穿戴电子设备和非侵入性健康监测中实现先进的应用.