Stack Exchange Network

Stack Exchange network consists of 175 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.

Visit Stack Exchange

Questions tagged [transfer-function]

Anything related to transfer functions, i.e. those complex-valued functions of a complex variable used to model mathematically the I/O relationship of linear time-invariant initially-at-rest system using Laplace transform.

-1
votes
0answers
55 views

Pi network voltage on resistor

I have a problem with differential equations for a circuit. What will be the voltage function $$v_{2}(t)$$ on 100 ohm resistor? I write something like that: $$\frac{V_{1}(t)-ε(t)}{R_{0}}+C_{1}\frac{...
-2
votes
0answers
35 views

Transfer Function / Cutoff Frequency

I am trying to get the formula for the cutoff Frequency out of this transfer function: . I think this is the transfer function: . And I get this formula for the cutoff frequeny: Calculation ...
2
votes
1answer
59 views

Transfer function of a summing integrator

I'm trying to derive the transfer function of a summing integrator for use in a feedback circuit. The single input and double input integrators are shown below. An integrator with one input is ...
0
votes
1answer
25 views

Characteristics from transfer function

All! I am trying to figure out characteristics of a second order system The system is (for example) And its characteristics for an unit step input are I want to solve this equation by hand and ...
0
votes
2answers
77 views

Transfer function and cut-off frequency of cascoded RC-LRC filter

At the moment I'm struggling with the problem, i can calculate the transfer function of the following circuit, but not the cut-off frequency. The transfer function is in my case: $$H(s)=\frac{1}{s^3\...
1
vote
2answers
131 views

Why am I getting non-sinusoidal output for sinusoidal input in a mass-spring system?

A mass-spring system is represented by the following transfer function $$ H(s) = \frac{s^{2} + 0.1s + 10}{s^{4} + 0.2s^{3} + 20s^{2}} $$ For a sinusoidal input I am getting a non-sinusoidal output, ...
0
votes
1answer
40 views

How do I refer the transfer function of a system from its Laplace equivalent?

I have a problem, I know how to analyze circuits in Laplace domain to get the transfer Laplace function. However, I don't know how to translate the answer to "real life" Suppose that I have a ...
2
votes
2answers
56 views

Square Wave transfer function

How could i determine a transfer function (A(s)) which responds to a symmetrical 1Vp-p 1kHz square-wave input signal, and gives a 5Vp-p square-wave output signal ...
0
votes
2answers
83 views

Design a Circuit with Zero-Order Transfer function H(s) > 1

I know that if I do 2 1K ohm resistors in series, I can just do a voltage divider to get Vout/Vin = R2/(R1+R2) = 0.5. But if I want to get a transfer function of 3, what components would I use?
1
vote
2answers
68 views

Is the following op-amp-circuit-in-the-Laplace-domain analysis correct?

I am relatively new to analyze circuits in the Laplace domain. So I decided to solve some problems as an exercise. Below presented a problem and my solution to it and I have two questions: ...
0
votes
0answers
18 views

Equiavalent transfer function from product of two parallel blocks

Suppose we have two aperiodic links, which receive the same signal. The outputs of these two links are multiplied. What will the transfer function of this scheme look like?
2
votes
2answers
80 views

Is the transfer function for the given RC network right?

For the question I arrived at the following answer (I have assumed V1 btw) Is my solution right? I just have a big doubt if whether I can use the voltage division rule at point A when there is an RC ...
0
votes
2answers
48 views

Is a transfer function with a denominator of one with V_o/V_i as the definition of the function?

I've been given this question for my electronics course and have gone through it. The question asks we construct a circuit with transfer function: $$G(\omega) = 11 + j\omega 330 \times 10^{-6}$$The ...
0
votes
1answer
69 views

Transfer Function of an Op-Amp Circuit

This circuit looks like an active high pass filter but without a second series resistor. What is it really? What is the transfer function Vo/Vi?
0
votes
1answer
69 views

Filter transfer function

I've the following filter circuit: simulate this circuit – Schematic created using CircuitLab The transfer function can be written as follows (I think): $$\frac{\frac{1}{\text{sC}}}{\frac{1}{\...
0
votes
0answers
44 views

T Model of a transistor

I want to redraw this circuit based om the T model. Is this T model representation correct? Where Zth is the parallel between R1 and R2 in series with C1, re = (Vt/Ie) Vt being the early voltage, Z2 ...
2
votes
1answer
116 views

How to sketch the Bode diagram of the output filter of a Buck converter?

I'm trying to figure out the Bode diagram of the output filter of a Buck converter: simulate this circuit – Schematic created using CircuitLab Vout is ...
0
votes
1answer
16 views

common source pole calculation vs. simulation

I would like to compare my pole simulation results to my hand calculations, I'm receiving quite a big error. when simulating a Common Source stage without output capacitance load there is a big ...
0
votes
0answers
20 views

Transfer function with separate time delays in each term

We've been given the problem below for our current assignment As far as I can recall, I have never seen a transfer function with time units in the function itself, added onto each separate term. I ...
3
votes
0answers
95 views

Find transfer function and step function for this circuit

Can someone help me to find the transfer function of this circuit (i want to have the tension through the capacitor I think) and the step response in order to get the voltage in the function of the ...
2
votes
1answer
60 views

How do I calculate this inverse Laplace Transform

I have this transfer function and input, and I have to manually calculate what the systems response will be. The transfer function is: and the input is: I multiplied the two functions and used ...
5
votes
3answers
149 views

Why the Wien Oscillator output is a sine?

I don't understand why the output signal of the Wien oscillator is a sinusoidal waveform. I can easily understand how a sine waveform can be generated by an oscillator which contains an LC circuit (...
0
votes
1answer
78 views

Recognised Op Amp Circuit?

I've had a bunch of op amp circuits do research and find the transfer function of, and this is the last one, does anyone recognise it? I've had a Sallen Key and an All Pass before, and wondering if ...
1
vote
4answers
154 views

Circuit inverts at high frequency and is unity at low frequency

Does anyone recognize this op amp setup? I've figured that at low frequencies C1 is as short circuit, putting the +ve and -ve inputs to \$V_{in}\$ and at high frequencies it will be as open circuit ...
0
votes
2answers
134 views

Fitting of continuous transfer function

I measure a network's transfer function using a network analyzer and therefore have a set of complex data points, representing the network's gain and phase. I wish to fit a continuous, rational ...
0
votes
0answers
27 views

how to use the Vpp in this case?

in this exercise i thought i would approach it by finding the transfer function and i did find the transfer function by using a voltage divider equation, the problem im facing is that i don't have ...
0
votes
0answers
25 views

Y matrix (admittance parameters) and Transfer function

I have the following two port network: for which the Y matrix elements are: \$y11(s): (2+3s)\$ \$y12(s): -1\$ \$y21(s): -1\$ \$y22(s): 1.5\$ I need to get the value of \$ZL\$ in order for the ...
2
votes
3answers
135 views

Nodal analysis -> transfer function -> step response

I've been trying to get the transfer function for the circuit in the image below, but I seem to be doing something wrong, since the simulation on Circuitlab gives me a different Bode plot and I can't ...
1
vote
3answers
288 views

Teaching about LC filters

I'm preparing to teach some people regarding filters, and I'm confused regarding the use of the LC-filter circuit, specifically the circuit below: simulate this circuit – Schematic created ...
0
votes
0answers
170 views

Transfer function of DC Motor

I'm trying to verify whether the transfer function in this control diagram is the one stated in this document. I tried solving it and got this: Shifting the armature current \$I_a\$ feedback point ...
1
vote
1answer
48 views

How to obtain the steady state response of the sampled periodic signal data?

Below the green plot Vin is 5Hz sine voltage signal from a function generator output sampled at 12kHz sampling rate: The blue plot Vout is the processed/filtered data by using the following code in ...
1
vote
1answer
121 views

SMPS Error Amplifier Behavior

In case of switch mode power supplies, we uselly use "Error Amplifiers" (Type 1,2 & 3), my question is: The output voltage of this amplifier (Verr), is it the DC error of the Vref and Vout (i.e: ...
0
votes
1answer
164 views

How to estimate the transfer function given only Bode plot data points?

I'm trying to obtain transfer function given Bode plot data points. As an example I used the following RC filter and made AC sweep as follows: I set the type of sweep to decade and for each decade ...
0
votes
0answers
21 views

Transfer Function Estimate and PSD

I am looking at using Matlab to estimate the transfer function of an unknown system using input and output time history data. I found this page: https://www.mathworks.com/help/dsp/ug/estimate-the-...
1
vote
2answers
56 views

Frequency Response Function Estimate via FFT Question

I want to estimate the FRF of a dynamic LTI system given experimental input and output data. I know generally the approach is to use a chirp as an input to make sure enough frequency content is ...
0
votes
1answer
91 views

Find the transfer function of the circuit if current I is the measured output

So there's this problem I am trying to solve: Consider a series RL circuit corrected to a DC voltage source and an on-off switch. Assume R = 2 ohms, and L = 1H, and applied voltage V = 10 volts. ...
0
votes
0answers
36 views

How do the transfer functions of lumped and distributed circuit differ?

The transfer function of an electrical circuit can also be described as the \$S_{21}\$ parameter of the S-matrix. As far as I know the S-Matrix can be applied for both lumped and distributed circuits. ...
0
votes
1answer
33 views

Stability Criteria of Type 3 Digital PLL

I suppose we can derive the stability criteria based on poles of open-loop transfer function of F(z) in expression (4.11). However, the pole analysis does not help in deriving the stability criteria ...
12
votes
0answers
583 views

What is causing this long tail in the transient reponse?

I have a fifth order transfer function for which I designed a controller using pole-zero cancellation technique on a root locus. I am after <5% overshoot and <2s settling time. Currently, the ...
0
votes
1answer
70 views

How to find the transfer function of this first order active filter?

Going through Design with Operational Amplifiers and Analog Integrated Cricuits, in Chapter 3, problem 3.4 I am asked: The circuit of Fig. P3.4 is a noninverting differentiator. (a) Derive ...
0
votes
1answer
51 views

Can a system have constant phase response other than +/- 90 deg (and multiples)?

I have seen frequency responses where amplitude response is constant( pure delay) and where phase response is constant(pure integrator). In an integrator the constant phase is -90 deg. In a pure ...
2
votes
2answers
192 views

Obtain a Transfer Function from Bode Plot shown

I want to obtain a Transfer Function from the Bode Plots I already got the corner frequencies (approximates) and all the terms for my T.F. Then when I try to check my results in MATLAB my plot drops ...
0
votes
1answer
98 views

Unable to set transfer function on matlab simulink

I am trying to design a p controller for which i need transfer function and I am unable to set second order equation in denominator. When I do, it shows num(s)/den(s) written inside the transfer ...
1
vote
1answer
43 views

Typical Amplifier Output/Input Curve

I apologize for the extremely basic question, but I want to be sure. Ideally, an amplifier should have a linear output power to input power relationship. However, in most amplifiers (say a class AB ...
0
votes
1answer
66 views

How calculate the transfert function of boost converter with input capacitor?

the Boost converter figure is like this
2
votes
1answer
99 views

According to the Nyquist criterion this system is stable but when I apply an impulse I get an unstable response, why?

I have this open loop transfer function and I have to study the stability of the closed loop transfer function using the Nyquist criterion. What I got is that the characteristic equation 1+GH(s)=0 has ...
0
votes
0answers
33 views

What is the meaning of the sensivity, of the open loop transfer function, being -1 regarding the non zero pole?

I have to calculate the sensivity of this transfer function regarding the pole s=-10. I used the formula below, and I got the value of -1 but I do not understand its meaning. I replaced (s+10) with p ...
2
votes
2answers
81 views

Meaning of transfer function in s evaluated at a complex number

From the pole-zero plot, you can compute the system frequency response by assuming a locus of test points along the \$j\omega\$ axis. Figure from: http://web.mit.edu/2.14/www/Handouts/PoleZero.pdf \...
3
votes
1answer
331 views

How to calculate poles for a high order system?

I have a fourth order system which is fully controllable and observable, which needs to satisfy certain design criteria. I am trying to design a full-state feedback controller for the following ...
0
votes
0answers
64 views

Transfer function_Approximation of second order system for a linear actuator

I am trying to approximate a transfer function of a system. The system is a linear actuator, connected to a feedback potentiometer. The actuator has a mass on it. The following figure is a step ...