I have two separate systems. System 1 can measure well biochemical events in the frequency [1,180] Hz. System 2 is designed to measure low frequency electromechanical processes in the frequency [0.001,1] Hz. However, separate systems are not enough. Electromechanical processes also come to the biochemical events' frequency bands sometimes such that measuring unsteadily there and there is not possible. I need to measure both systems at the same time.
However, I have no idea about how the accuracy of the measurements can change if you decide to measure 10^3 bigger segment. I think it should not change, but the power should instead change.
Proposal for the measurement system
- Sampling rate: 360 Hz
- Resolution up to 180 Hz and down to 0.001 Hz.
Problem. I cannot understand how it is possible keep sampling rate fixed when increasing resolution from (down to 1 Hz) to (down to 0.001 Hz). How does the sampling rate changes when increasing resolution from 1 Hz to 0.001 HZ?
Comments
- I am not sure how the situation would differ if we would change the range from 180 Hz to 180 x 10e3 Hz. I think nothing. When going down or up, the situation is the same for the power. Is this a right assumption?
Power and Safety
I am not sure how accuracy changes when measuring so big scale. I think uncertainties mostly come from the system but nothing else.
I think the wider range should be possible in theory by just increasing power, as described in the thread increasing metal detector range. However, the problem in my application is that I cannot increase the power too much. A cheap transformer is used 220 V in the chip ADuM4400 which withstands 5000 V for 60 seconds. There is no risk when 380 V peak (<< 5000) which is well within safety margins, currently with separate systems. Power usage is as a function of CPU usage. Power measurement error is normally distributed.
Unknown is the relation between Detector Range and Power
\begin{equation} l \propto_{?} P \end{equation} where l is the size of the range in the detector, and P is the system power.
How can you estimate the effect of 10e3 x range in the power usage of the system?