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相关概念视频

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Signal processing techniques are essential for accurately converting continuous signals to digital formats and vice versa. When a continuous signal is sampled with a period T, the resulting sampled signal exhibits replicas of the original spectrum in the frequency domain, spaced at intervals equal to the sampling frequency. To handle this sampled signal, a zero-order hold method can be applied, which creates a piecewise constant signal by retaining each sample's value until the next...
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First Order Systems01:21

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First-order systems, such as RC circuits, are foundational in understanding dynamic systems due to their straightforward input-output relationship. Analyzing their responses to different input functions under zero initial conditions reveals significant insights into system behavior.
When a first-order system is subjected to a unit-step input, its response is characterized by its transfer function. By applying the Laplace transform of the unit-step input to the transfer function, expanding the...
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In signal processing, a continuous-time signal can be sampled using an impulse-train sampling technique, followed by the zero-order hold method. Impulse-train sampling involves the use of a periodic impulse train, which consists of a series of delta functions spaced at regular intervals determined by the sampling period. When a continuous-time signal is multiplied by this impulse train, it generates impulses with amplitudes corresponding to the signal's values at the sampling points.
In the...
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Second Order systems II

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In an underdamped second-order system, where the damping ratio ζ is between 0 and 1, a unit-step input results in a transfer function that, when transformed using the inverse Laplace method, reveals the output response. The output exhibits a damped sinusoidal oscillation, and the difference between the input and output is termed the error signal. This error signal also demonstrates damped oscillatory behavior. Eventually, as the system reaches a steady state, the error diminishes to zero.
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Mason's rule is a powerful tool in control systems and signal processing. It simplifies the calculation of transfer functions from signal-flow graphs. This method leverages various elements, including loop gains, forward-path gains, and non-touching loops, to determine the transfer function efficiently.
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The unit step sequence is defined as 1 for zero and positive values of the integer n. This sequence can be graphically displayed using a set of eight sample points, showing a step function starting from n=0 and remaining constant thereafter.
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基于循环循环的渐进式代方法对分数级记忆系统信号的研究.

Li Xu1, Chuan Huang1, Guo Huang2

  • 1School of Electronic Information and Artificial Intelligence, Leshan Normal University, Leshan, China.

Scientific reports
|October 18, 2024
PubMed
概括

一种新的循环循环渐进式代方法 (LPIM) 准确地分析分数顺序电路. 这种新的方法在断率电路上得到了验证,并应用于流量控制的分数顺序记忆系统,揭示了对它们行为的新见解.

关键词:
流量控制的分数顺序内存系统的流量控制.断裂率是一种断裂率.分数级内存系统的输出信号分数级内存系统的输出信号循环循环的渐进式代方法

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科学领域:

  • 电气工程 电气工程
  • 非线性动力学是一种非线性动力学.
  • 电路理论 电路理论

背景情况:

  • 分析分数顺序电路的传统方法可能很复杂.
  • 分数顺序电路表现出不被整数顺序模型所捕获的独特行为.
  • 需要新的分析技术才能充分理解这些系统.

研究的目的:

  • 引入和验证循环循环渐进式代方法 (LPIM) 用于分数顺序电路分析.
  • 将LPIM应用于一种新的流控分数顺序记忆系统 (FFMS) 模型.
  • 预测分数顺序记忆系统 (FMS) 的常见输出特征.

主要方法:

  • 开发了循环循环渐进式代方法 (LPIM).
  • 应用LPIM和拉普拉斯变换来分析一个断电率电路.
  • 构建了一个新的分数顺序记忆系统 (FMS) 模型.
  • 模拟了FFMS使用LPIM与侧侧刺激信号.

主要成果:

  • 对于断率电路的LPIM结果与拉普拉斯变换和现有理论一致.
  • 在正弦刺激下,FFMS的输出信号显示了两个交点.
  • 该FFMS输出信号由激发信号的频率调节.

结论:

  • LPIM是一种有效和有效的方法来分析分数顺序电路.
  • 该研究提供了FFMS输出信号的首次模拟和分析.
  • 基于模拟结果和理论,预测FMS的常见输出行为.