For high quality representation of an analog waveform that varies between 10Hz and 100Hz, a digital data acquisition system will have to record data at what minimum frequency?
a. 1000 sps
b. 5000 sps
c. 200 sps
d. 100Hz
e. 50Hz
What does this question have to do with biology?
Digital sampling must be done at twice the maximum frequency. I think it's called the Nyquist sampling theorem.
it's for a biology lab ...in physiology.
I really don't even understand the question.
The answer is 200 sps in this case. It is a fundamental theorem of digital sampling. It's the basis of how digital sound files and TV have replaced analog transmission of video. Almost all information these days is recorded and transmitted digitally, for more conventient transmission, storage and data processing.
Well at first I think its 200sps because it says HIGH quality representation. But at the same time, minimum is a tricky word in there too.. was 200sps the correct answer in the end?
To determine the minimum frequency at which a digital data acquisition system needs to record data to achieve a high-quality representation of an analog waveform that varies between 10Hz and 100Hz, we need to apply the Nyquist-Shannon sampling theorem.
According to the Nyquist-Shannon theorem, the sampling frequency (fs) should be at least twice the maximum frequency component being sampled in order to accurately reconstruct the original waveform. This is commonly referred to as the Nyquist frequency.
In this case, the maximum frequency component is 100Hz. To determine the minimum required sampling frequency, we multiply the maximum frequency by 2. So, 2 * 100Hz = 200Hz.
Therefore, the minimum sampling frequency required is 200Hz.
Looking at the answer choices:
a. 1000 sps - This is greater than the required minimum.
b. 5000 sps - This is much greater than the required minimum.
c. 200 sps - This is equal to the required minimum.
d. 100Hz - This is equal to the highest frequency component, not the sampling frequency.
e. 50Hz - This does not meet the required minimum.
Therefore, the correct answer is c. 200 sps.