The more general uncertainty principle, regarding Fourier transforms
推荐理由
The clearest, most intuitive explanation of the Fourier Uncertainty Principle that I have come across is by Grant Sanderson of 3Blue1Brown.
强烈推荐Cadwhisker · 原文
说明
这是2018年由3Blue1Brown发布的一部讲解,主题归在Information theory & signal processing。它讲的是fourier uncertainty principle这一支里的具体问题,而不是把整个领域扫一遍。适合已经能看懂基本术语、想继续往下走的人。内容上可以概括成:3Blue1Brown shows how the uncertainty principle arises from Fourier transforms. A wave packet cannot be narrow in both position and frequency, so the principle is a property of waves rather than of measurement.这些读者给出的理由,核心是:HN recommends it as the clearest visual explanation that uncertainty is intrinsic to waves, separate from measurement disturbance.讲法不绑某一条新闻,过几年仍然可以当材料看。从2019年到2025年,有7位不同的读者在6个不同月份把它推荐出来,其中明确叫别人去看的有1次。适合用一集把一个概念补上的人。抓住它用的那个图像或类比,比背公式重要。如果已经会了基本定义,就把注意力放在它怎么把fourier uncertainty principle变成能跟着复述的例子。
视频信息
- 频道
- 3Blue1Brown
- 时长
- 18 分 7 秒
- 发布年份
- 2018
同主题更多
- But what is the Fourier Transform? A visual introduction.
- D/A and A/D | Digital Show and Tell (Monty Montgomery @ xiph.org)
- The Fast Fourier Transform (FFT): Most Ingenious Algorithm Ever?
- (1/4) Intro/History: Introducing a 100-year-old mechanical computer
- David Kriesel: Traue keinem Scan, den du nicht selbst gefälscht hast
- JPEG DCT, Discrete Cosine Transform (JPEG Pt2)- Computerphile