Howtosignalprocessing
- What is the derivative of frequency?
- What effect does differentiation has on FM signal?
- Why does differentiation increase noise?
- How do you differentiate a signal in Matlab?
What is the derivative of frequency?
The derivative of a sine wave of frequency f is a phase-shifted sine wave, or cosine wave, of the same frequency and with an amplitude that is proportional to f, as can be demonstrated in Wolfram Alpha.
What effect does differentiation has on FM signal?
It can be shown that differentiating a purely amplitude modulated signal will give some frequency modulation (FM), while maintaining the same amplitude modulation (AM), and differentiating a purely frequency modulated signal will give some AM, while maintaining the same FM, but differentiating a mixture will give a ...
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.
How do you differentiate a signal in Matlab?
You want to differentiate a signal without increasing the noise power. MATLAB®'s function diff amplifies the noise, and the resulting inaccuracy worsens for higher derivatives. To fix this problem, use a differentiator filter instead.
