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相关概念视频

Beats01:09

Beats

582
The study of music provides many examples of the superposition of waves and the constructive and destructive interference that occurs. Very few examples of music being performed consist of a single source playing a single frequency for an extended period of time. A single frequency of sound for an extended period might be monotonous to the point of irritation, similar to the unwanted drone of an aircraft engine or a loud fan. Music is pleasant and exciting due to mixing the changing frequencies...
582
Bandpass Sampling01:17

Bandpass Sampling

212
In signal processing, bandpass sampling is an effective technique for sampling signals that have most of their energy concentrated within a narrow frequency band. This type of signal is known as a bandpass signal. The key principle of bandpass sampling involves sampling the signal at a rate that is greater than twice the signal's bandwidth to prevent aliasing.
A bandpass signal has a spectrum with a lower frequency limit, denoted as ω1, and an upper frequency limit, denoted as ω2....
212
Basic Discrete Time Signals01:16

Basic Discrete Time Signals

244
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.
The unit impulse or sample sequence is mathematically expressed as zero for all n values except at n=0, where it is one. The unit impulse sequence, denoted by δ(n), is the first difference of the unit step sequence, while the unit step sequence u(n) is...
244
Basic Operations on Signals01:22

Basic Operations on Signals

428
Basic signal operations include time reversal, time scaling, time shifting, and amplitude transformations. These operations are fundamental in signal processing and analysis.
Time Reversal mirrors a continuous-time signal about the vertical axis at t=0. This is achieved by substituting t with −t. For example, if a signal x(t) is considered, the time-reversed signal is x(−t). This operation can be graphically represented, showing the mirrored signal.
428
Even and Odd Signals01:17

Even and Odd Signals

942
An even signal, whether in continuous-time or discrete-time, is defined by its symmetry with its time-reversed version. Mathematically, this is represented as
942
Effective Value of a Periodic Waveform01:07

Effective Value of a Periodic Waveform

595
The concept of effective value, the root mean square (RMS) value, is crucial in understanding electrical circuits and power delivery. This idea emerges from the necessity to measure the effectiveness of a voltage or current source in supplying power to a resistive load.
The effective value of a periodic current represents the direct current (DC) that conveys the same average power to a resistor as the periodic current itself. This concept is crucial when assessing AC circuits. To determine the...
595

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相关实验视频

Updated: Jul 26, 2025

Uncovering Beat Deafness: Detecting Rhythm Disorders with Synchronized Finger Tapping and Perceptual Timing Tasks
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使用间隔算术对数组光束模式的最坏情况分析.

Håvard Kjellmo Arnestad1, Gábor Geréb1, Tor Inge Birkenes Lønmo2

  • 1Department of Informatics, University of Oslo, 0316 Oslo, Norway.

The Journal of the Acoustical Society of America
|June 15, 2023
PubMed
概括
此摘要是机器生成的。

间隔算术 (IA) 现在通过回溯发现特定的错误,导致最坏的阶段数组光束模式界限. 这种方法可以分析数组性能,并将IA扩展到复杂的几何和错误类型.

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科学领域:

  • 电气工程 电气工程
  • 计算电磁学 计算机电磁学
  • 数字分析 数字分析

背景情况:

  • 间隔算法 (IA) 已被用于确定阶段阵列光束模式的耐受性极限.
  • IA提供了可靠的边界,没有统计错误模型,只需要边界元素错误.
  • 之前的研究并没有专注于确定导致这些边界的特定错误实现.

研究的目的:

  • 通过引入一个回溯概念来扩展间隔算术的能力.
  • 为了使错误实现和相应的光束模式在特定边界的直接恢复.
  • 分析最坏的情况下阵列性能,特别是峰值侧叶水平 (PSLL).

主要方法:

  • 在间隔算术中引入"回溯"概念.
  • 扩展IA以支持任意数组几何形状,包括指令元素和相互合.
  • 在IA框架内包括元素振幅,相位和定位错误.
  • 统一边界误差的近似边界公式的推导和数值验证.

主要成果:

  • 回溯方法允许恢复特定的错误实现及其产生的光束模式.
  • 增强了IA以处理复杂的数组配置和各种错误类型.
  • 获得并验证了一种用于统一边界误差的近似边界的新公式.
  • 我们了解了数组大小和apodization的极限,以减少最糟糕的PSLL.

结论:

  • 开发的回溯方法增强了分析阶段数组光束模式的间隔算法.
  • 扩展的IA框架为各种阵列设计和错误条件提供了更广泛的适用性.
  • 衍生式为了解最坏情况下的PSLL减少的基本限制提供了有价值的工具.