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相关概念视频

Deflection of a Beam01:19

Deflection of a Beam

256
Accurately determining beam deflection and slope under various loading conditions in structural engineering is crucial for ensuring safety and structural integrity. Singularity functions offer a streamlined approach to analyzing beams, especially when multiple loading functions complicate the bending moment equation.
Singularity functions, described in an earlier lesson, are powerful mathematical tools that represent discontinuities within a function commonly encountered in structural loading...
256
Distance Corrections01:15

Distance Corrections

27
To achieve precise distance measurements, especially in surveying and construction, certain corrections must be applied to account for potential sources of error like the standardization errors, temperature variations, and slope adjustments.Standardization error emerges when measurement equipment undergoes changes, such as wear, repairs, or weather impacts. To address this, surveyors compare the equipment’s readings to a standard. This process identifies any deviation that might lead to...
27
Linear Approximation in Time Domain01:21

Linear Approximation in Time Domain

81
Nonlinear systems often require sophisticated approaches for accurate modeling and analysis, with state-space representation being particularly effective. This method is especially useful for systems where variables and parameters vary with time or operating conditions, such as in a simple pendulum or a translational mechanical system with nonlinear springs.
For a simple pendulum with a mass evenly distributed along its length and the center of mass located at half the pendulum's length,...
81
NMR Spectrometers: Resolution and Error Correction01:14

NMR Spectrometers: Resolution and Error Correction

684
When magnetic nuclei in a sample achieve resonance and undergo relaxation, the signal detected in NMR is an approximately exponential free induction decay. Fourier transform of an exponential decay yields a Lorentzian peak in the frequency domain. Lorentzian peaks in an NMR spectrum are defined by their amplitude, full width at half maximum, and position, where the peak width is governed by the spin-spin relaxation time alone. In real experiments, however, the applied magnetic field is rendered...
684
Time and frequency -Domain Interpretation of Phase-lead Control01:24

Time and frequency -Domain Interpretation of Phase-lead Control

80
Phase-lead controllers are commonly used in various control systems to enhance response speed and stability. Adjusting the brightness on a television screen offers a practical example of phase-lead control. When contrast is enhanced, a phase-lead controller is employed. Mathematically, phase-lead control is identified when the first parameter is smaller than the second.
The design of phase-lead control involves the strategic placement of poles and zeros to balance steady-state error and system...
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Beams with Unsymmetric Loadings01:17

Beams with Unsymmetric Loadings

114
Analyzing a supported beam under unsymmetrical loadings is essential in structural engineering to understand how beams respond to varied force distributions. This analysis involves calculating the deflection and identifying points where the slope of the beam is zero, which are crucial for ensuring structural stability and functionality.
The first moment-area theorem determines the slope at any point on the beam. This theorem indicates that the change in slope between two points on a beam...
114

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自纠正分数最小平均平方算法用于数字光束成形的应用.

Syed Asghar Ali Shah1, Tariqullah Jan1, Syed Muslim Shah2

  • 1Department of Electrical Engineering, University of Engineering and Technology Peshawar, Peshawar, Pakistan.

PloS one
|June 21, 2024
PubMed
概括

一个新的自我调整的双阶段分数顺序最小平均平方 (LFLMS) 算法提高了信号处理的趋同性和精度. 对于未来的无线网络,LFLMS比传统的最小平均平方 (LMS) 方法提高了性能.

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科学领域:

  • 数字信号处理 数字信号处理
  • 适应性过是一种自适应性过.
  • 分数计算的应用 分数计算的应用

背景情况:

  • 传统的最小平均平方 (LMS) 算法提供了简单性,但在趋同速度和精度上可能受到限制.
  • 分数顺序算法为提高信号处理性能提供了一个机会,同时保持实施可行性.
  • 需要先进的自适应过技术来满足下一代无线通信系统的需求.

研究的目的:

  • 介绍和分析一种新型的自我调整的双阶段分数顺序最小平均平方 (LFLMS) 算法.
  • 改进适应性过应用中的收率和精度.
  • 评估LFLMS的性能与信号处理中的现有方法相比.

主要方法:

  • 开发LFLMS算法,将初始最小平均平方 (LMS) 阶段与随后的分数LMS (FLMS) 阶段相结合.
  • FLMS阶段包括分数顺序的重量调整和乘以方向向量的复制.
  • 数学趋同分析和导出,然后通过测量平均平方误差 (MSE) 的模拟来评估性能.

主要成果:

  • 与传统方法相比,LFLMS算法表现出明显优异的性能.
  • 与标准LMS算法相比,LFLMS实现了比标准LMS算法快59%的融合率.
  • 与LMS相比,LFLMS的平均平方误差 (MSE) 得到了49%的改善.

结论:

  • 拟议的LFLMS算法提供了增强的趋同性和精度,而计算复杂性的增加仅为边际.
  • 对于先进的无线通信技术而言,LFLMS是一种有前途的自适应过解决方案.
  • 该算法非常适合物联网 (IoT),6G网络,雷达系统和卫星通信等应用.