Howtosignalprocessing
- Why does differentiation increase noise?
- Does differentiation amplify noise?
- What is the derivative of a time function?
- What is the derivative with respect to time?
Why does differentiation increase noise?
Another reason is that by differentiating, you remove the low-frequency components, so your eyes see mostly the high-frequency components giving you the impression of having more noise.
Does differentiation amplify noise?
It is often said that "differentiation increases the noise". That is true, but it is not the main problem.
What is the derivative of a time function?
A time derivative is a derivative of a function with respect to time, usually interpreted as the rate of change of the value of the function.
What is the derivative with respect to time?
Derivatives with respect to time
Velocity is the derivative of position with respect to time: v(t)=ddt(x(t)). Acceleration is the derivative of velocity with respect to time: a(t)=ddt(v(t))=d2dt2(x(t)).
