Continuous Time LTI system stability confusion
It is understood that if ROC of the transfer function of a system doesn’t not contain the \$j\omega\$ axis, then the system is unstable.I also know that if the transfer function of the system has any...
View ArticleClik here to view.
Static and dynamic behaviour of a sensor
On a slide, i read that i can model the static behaviour of a sensor as:whereas it's dynamic behaviour as:Is correct to say that the static behaviour is the steady-state behaviour, while the dynamic...
View ArticleHow to prove property of transfer function for causal LTI system
For causal linear time-invariant systems the degree of denominator must be larger or equal than the degree of the numerator.How can this be proven rigorously?
View ArticleClik here to view.
Using impedance to get RLC Transfer Function
I am trying to get the transfer function G(s)=Vo(s)/VI(s) of this circuit and I am lost. I know that in the s domain, L=sL and C=1/sC. I tried to calculate it already and got R+(Ls)/((Ls^2)*C+1). But I...
View ArticleClik here to view.
Inverting op-amp transfer function [closed]
How can I find the transfer function of this inverting op amp, I need to transform it to s-domain and solve for k. Considering both resistors has a value of 1kohm
View ArticleComplex-conjugate poles from transfer function [closed]
This comes from Sedra's Microelectronic Circuits, example 17.1.If I have a transfer function with a pole \$p_1 = \omega_0(-0.1736 + j0.9848)\$.The example talks about "combining \$p_1\$ with its...
View ArticleClik here to view.
How do I find the transfer function of a PID that uses a single op-amp?
How does one go about finding the transfer function of the following op-amp PID?I have tried to convert each component of the circuit into its transfer function representations, e.g., making each...
View ArticleClik here to view.
Block diagram translation [closed]
simulate this circuit– Schematic created using CircuitLabI want to "translate" the schematic into a block diagram to study the transfer function of my design. Could you help me?
View ArticleClik here to view.
Calculate transfer function of differential circuit with feedback
I am trying to calculate the transfer function of this circuit, with the small-signal equivalent circuit below:It's a frequency doubler with both the gate and the source of the HEMTs driven 180° out of...
View ArticleClik here to view.
Is this the correct way to get the AC transfer function for this circuit?
My approach was to put R3 and C2 to ground. Then I figured Vout is the result of a voltage divider between R4 and C2. I also figured Vx had to be a voltage divider between C1 and R3||R2. Hence how I...
View ArticleClik here to view.
How to find poles and zeroes in this kind of transfer function?
How do I find poles and zeroes from this complex transfer function?$$H(s) = \frac{2959}{100\,s} - \frac{ 171\, \Gamma\left( \frac{7447}{10000} \right)} {200\, s^{7447/10000}}$$I used the Laplace...
View ArticleDoes every transfer function in a circuit have its own resonant frequency?
When I studied the resonant frequency of an RLC circuit in series and parallel, there was the definition that I read in books that the imaginary part of the total impedance of the circuit has to be...
View ArticleClik here to view.
Obtaining transfer function
In the above circuit j(t)=u(t)A, where u(t) is the step function. Z is a component/circuit system with no independent variables and all initial values zero. The goal is to find the transfer function...
View ArticleClik here to view.
Digital Root Locus in Scilab
I have the following digital plant:\$G(z)=\cfrac{z+1}{(z-0.3)(z-1)}\$I want to use root locus to design a system with: (1) position error=0; (2) overshoot \$\leq 10\%\$(3) settling time \$\leq\$ 5...
View ArticleClik here to view.
How do I derive a transfer function of RC circuit including ESR?
I am reading through some lecture and wondering how to derive transfer function when input source is a current source. Can you anyone give me an advice? Thank you
View ArticleClik here to view.
Extra element theorem
I don't understand the reasoning behind solving for the \$Z_{out,0}\$ term in the extra-element theorem (EET) in this textbook example. For clarity, the full EET is that any transfer function can be...
View ArticleClik here to view.
Transfer functions to determine voltage of a similar circuit
Goal is to solve for the voltage u2(t)I'm somewhat confused by this. I solved the transfer function Z(s) earlier in the top circuit, which is simply just Z. The voltage across Z in the top circuit is...
View ArticleClik here to view.
Why did my matlab calculation simulation differs greatly in LTspice simulation?
Here is my circuit in LTspice.The frequency ac is here.This is DC with .op command. --- MOSFET Transistors ---Name: m1Model: nmos-shId: 1.91e-04Vgs: 7.96e-01Vds: 9.03e-01Vbs: 0.00e+00Vth:...
View ArticleClik here to view.
How can I find the transfer function with Laplace in the (s) domain?
How can I find the transfer function for this circuit with laplace in the (s) domain?
View ArticleClik here to view.
Inverting a (voltage-) transfer function using opamp
If we have a circuit that - given some input voltage \$U\$ - produces an output voltage \$f(U)\$ (where \$f\$ is continuous, monotonic descending), we can construct a new circuit that behaves like the...
View Article