The relationship between sensor response time and filter cut-off frequency

1. The relationship between the response time of the sensor and the cutoff frequency of the filter (see details)

https://blog.csdn.net/Old_Street/article/details/108087826

 

2. Understanding of the cutoff frequency in the filter

http://www.360doc.com/content/18/0715/14/908538_770556015.shtml

The cut-off frequency of the low-pass filter should be greater than the useful signal frequency, and try to be as flat as the low-pass filter.

At the cut-off frequency, the output signal power quickly attenuates to half of the input power, that is, the point where the bode diagram is reduced by 3dB, that is, at -3dB

Calculate the cut-off frequency formula of the first-order low-pass filter and the first-order high-pass filter:

 

3. Derivation of the relationship between rise time and 3 dB bandwidth and its optoelectronic applications

https://mp.weixin.qq.com/s?src=11&timestamp=1615285631&ver=2936&signature=r15f3goBP0XIiCuCWlM9WpRUltgSkX6nxGRP9ktiB3DeZuSjljt9KbC2sQRVVndAukVIFbpziiE7-Cn*0rSXjJd*g-Um7xCOYQpdEWtxTnmz4PqbZFPsmSSfy6cPv55i&new=1

Signal bandwidth:

Today, I checked the "Small Signal Step Response" chapter of the "Analog Engineer Pocket Reference Book" and also saw the "0.35" parameter. Book download link: Analog Engineer Pocket Reference Book

图2 “0.35”相关资料