ThermalRunaway
New Member
Hi everyone. Considering the addition of the following two discrete signals:
x1 = sin (2pi . 1 . nts) // 1 Hz sinusoid of peak amplitude 1
x2 = sin (2pi . 3 . nts) // 3 Hz sinusoid of peak amplitude 1
I have been investigating the theoretical output from a system that adheres to the following equation:
y = x_squared
when I apply the addition of x1+x2 to it.
I have proven that the system is non-linear because the theoretical output is a bunch of components that were not present in the original signals, as follows:
0Hz @ amplitude 1
2Hz @ amplitude 0.5
4Hz @ amplitude -1
6Hz @ amplitude -0.5
I calculated these with the help of trigonometric identities (and a text book
)
I understand all of this, but... what about the 0Hz component? What does this look like in practice? Would it be seen as a D.C. level?
Brian
x1 = sin (2pi . 1 . nts) // 1 Hz sinusoid of peak amplitude 1
x2 = sin (2pi . 3 . nts) // 3 Hz sinusoid of peak amplitude 1
I have been investigating the theoretical output from a system that adheres to the following equation:
y = x_squared
when I apply the addition of x1+x2 to it.
I have proven that the system is non-linear because the theoretical output is a bunch of components that were not present in the original signals, as follows:
0Hz @ amplitude 1
2Hz @ amplitude 0.5
4Hz @ amplitude -1
6Hz @ amplitude -0.5
I calculated these with the help of trigonometric identities (and a text book
I understand all of this, but... what about the 0Hz component? What does this look like in practice? Would it be seen as a D.C. level?
Brian