I wish to have signal to be integrated/differentiated with respect to voltage in an electronic circuit. The integration/differentiation may be done with respect to time using opamp. But I exclusively want to integrate/differentiate with respect to voltage. Is there any dedicated IC chip for this? Or please inform me of the way I can perform the task.
Thank You.
Dear Debabrata,
Before i proceed to answer your question, i would like to ask you: do you have a dependent parameter z as a function of a voltage V. That is z= f(v). Then if you substituted V= t you get z= f(t), and the integral z dt = integral z dv, Also, dz/dt =dz /dv. It is not matter if the independent variable is called V or t, as the independent variable is represented by the numbers on the number line.
In order to integrate such function you can generate a voltage ramp with V=t and then applying the ramp output on the input of the function z generator. The output z is integrated by an op amp integrator. In case of differentiation do the same except you use an op amp differentiator.
You can also use numerical integration and differentiation by sampling the z for the different values V. In case of integration you sum the samples on the integration interval and in case of differentiation you just take the difference between two consequent samples and divide the difference on dV , the voltage difference between the samples.
best wishes.
Dear Debabrata,
Don't you think your question is bit unclear? You want to differentiate/integrate signal w.r.t voltage. What does it mean? We represent any signal source as AC or DC. For the earlier one, magnitude/strength of the signal may vary with time or any other parameter. Then only we go for any mathematical operations. Yes, I agree with Prof. Zerky. That may be the case if impedance is a function of voltage. So, once you are sure about dependent variable and independent variable, we can focus more on this question, which looks quite interesting.
Thanks Prof. Zerky and Mr. Sarangi for your kind information.
Actually I want to have a function z=f(v,t), i.e., I want to have the effect of integration on time (t) as well as the voltage (v). The time integration may be done using opamp, but is there any way out to differentiate (f) w.r.t., voltage (v)? I need to integrate w.r.t., (t) and w.r.t. (v) simultaneously, is it possible in electronic circuit?
You may consider that \int f(v) dv can be written, by a change of variables, as \int f(v(t)) dv/dt dt. Hence you can sweep v in time according with a sufficiently regular arbitrary function v(t) (sine wave, ramp...) and you can integrate in time the product of the time derivative of this function (dv(t)/dt) times your function f(), evaluated for v=v(t).
Dear Colleagues
Dear Debabrata
Concerning the differentiation of multivariable function, you make a partial differentiation. This means by definition of the differentiation you do not need to make simultaneous differentiation. But you can differentiate your function in sequential form.
The differentiation process itself is carried out as in my first post.
Concerning the integration on two variables, by definition of the integration you integrate the function with respect to one variable and then w.r.t. the second variable in cascade.
In summary, the circuit performs the integration as we do it manually according to the mathematical definition of the operation.
wish you success.
Thanks to all for the precious suggestions. I shall design the same in the January, 2015. If difficulty arises, I shall consult you.
Thank you all once again.
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