What if we change phase of the signal?
When the two waves are perfectly in phase with each other, their signals augment each other. When they are slightly out of phase with each other, the overall signal is diminished, and they are said to destructively interfere. When the phase shift between them reaches 180°, the two waves exactly cancel each other.
What is the magnitude and phase spectrum?
The magnitude and phase spectra are calculated from the complex output Xf using abs(Xf) and angle(Xf), respectively (see Example 3.3). Again, the angle routine gives phase in radians so as to convert to the more commonly used degrees scale by 360/(2π).
What is magnitude in signal processing?
The magnitude of a variable, on the other hand, is the measure of how far, regardless of direction, its quantity differs from zero. So magnitudes are always positive values.
How to determine the phase and magnitude of an oscillating signal?
As far as I understood, the first fourier coefficent equals the mean value of the signal and the next coefficients equals the coefficient of the first harmonic frequency, which would be the rotor frequency, since I analyse the data of one revolution. If I change the number of terms considered, the coefficents change.
Can you change the shape of a signal by sliding something?
It seems that it shouldn’t, sliding something doesn’t change its shape, and adding more (or less) of a particular frequency would definetly change the shape of a signal. That only leaves us with the phase component to worry about.
What happens to the phase of a sinusoid when it is delayed?
If you delay a pure sinusoid by 25% of its period, it’s phase referenced to any fixed point in time will change by pi/2 radians. Delay a slightly higher frequency sinusoid by the same amount of absolute time, and it’s phase will change more. So the phase change will change with frequency.
What happens to the ft of a time shifted signal?
If looking at a 3d plot of the FT of a time shifted signal, it looks like taking the FT before the time shift and twisting it. The twist will be linear, e.g. proportional to frequency.