I need help to create a circuit that creates the output below using only Capacitors inductors and Differentiating and/or integrating op amps only. Each input must go through at least one op amp. Not sure how to proceed, please help.
Thank you in advance
Wheelman487
A0 cos(ωt+Θ)+ A1(t-t0)³ + A2(t-t0)
this was a letter my teacher sent us to make it easier
The t0 in the equations I gave are only there to represent generality as far as a TIME SHIFT (maybe the function generator didn't start it at time zero...)! If it helps, ignore the t0, and just look at the t term.
For example, if your output looks like
vo(t) = Ao*cos(wt+theta) +A1*(t-t0)^2 + A2*(t-t0)...
THE base equation is really
vo(t) = Ao*cos(wt) + A1*(t^2) +A2*(t)...
Note also that the theta or phi term in the output is just a general phase shift! the main part of that function is cos(wt)...
These outputs all will be repeating (periodic, but you can choose to use the same frequency for each!!). It doesn't matter much for the design, but will for the simulation and physical circuit construction.
AGAIN, you can pick the w (omega, frequency)...
ALSO...what is u(t)? What is delta(t)? They are functions with specific names and specific definitions. You have seen them before (in your circuit II course!), and will see them again. This definitely is not meant to be a trick, nor is it meant to complicate things further...
tpn
Thank you in advance
Wheelman487
A0 cos(ωt+Θ)+ A1(t-t0)³ + A2(t-t0)
this was a letter my teacher sent us to make it easier
The t0 in the equations I gave are only there to represent generality as far as a TIME SHIFT (maybe the function generator didn't start it at time zero...)! If it helps, ignore the t0, and just look at the t term.
For example, if your output looks like
vo(t) = Ao*cos(wt+theta) +A1*(t-t0)^2 + A2*(t-t0)...
THE base equation is really
vo(t) = Ao*cos(wt) + A1*(t^2) +A2*(t)...
Note also that the theta or phi term in the output is just a general phase shift! the main part of that function is cos(wt)...
These outputs all will be repeating (periodic, but you can choose to use the same frequency for each!!). It doesn't matter much for the design, but will for the simulation and physical circuit construction.
AGAIN, you can pick the w (omega, frequency)...
ALSO...what is u(t)? What is delta(t)? They are functions with specific names and specific definitions. You have seen them before (in your circuit II course!), and will see them again. This definitely is not meant to be a trick, nor is it meant to complicate things further...
tpn