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.

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Transfer Function Derivation

Where did the following transfer function come from? \$H(s) = -H_o\frac{\frac{\omega_o}{Q}s}{s^2 +\frac{\omega_o}{Q}s + \omega_o^2}\$ \$H_o\$ is the gain at resonant frequency. I'm told it ...
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Interpretation of the pole of a transfer function of a vibrating platform

I am not able to understand what the frequency where the hydraulic pole occurs (as in the diagram) signifies? To give an overview, there is a vibrating platform and we are seeing its response motion ...
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68 views

Transfer function using mesh analysis

I have the following circuit: I have to find the transfer function by using mesh analysis. First of all I used the Laplace transformation. Although I saw some similar exercises, I don't really see ...
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78 views

Laplace Transforms and the imaginary input

When we get an exponential on the RHS of our differential equation (or if we give an exponential input) it's quite easy to solve the equation, but if we provide a sinsusoidal or cosinusoidal input, ...
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90 views

Deriving The transfer Function of a high Pass active second Order filter

I have recently been trying to solve this transfer function an my professor keeps saying I have been doing wrong and I finally need help. I know my Gain is \$1+ \frac{R_A}{R_B}\$. but I keep getting ...
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Frequency response of RC circuit

I have here a circuit that I would like to find the transfer function ( call it \$H(jw) )\$ of so that I may map the input voltage (V_in) to the output (V_out) as: $$V_{out} = V_{in} * H(jw):$$ I am ...
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93 views

Transfer function of an RC circuit

I'm trying to find the transfer function of the circuit below. I am aware there are tutorials available online for similar circuits, and I have tried them. But I cannot confirm whether my answer for ...
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23 views

Transfer function using signal flow graph problem

Determine the system transfer function for the following signal-flow diagram of figure I have shown my attempt of solving this problem. Can anyone tell me whether I did this problem properly?
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42 views

How can I prove that for any control system root locus plot starts from poles of OLTF and ends at zeroes of OLTF?

simulate this circuit – Schematic created using CircuitLab G(s)H(s)=N/D T(s)=KN/(D+KN) Proof: ] But For K=0 T=0 For K=infinity T=infinity then how can K=0 {condition where forward path ...
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Is the frequency response of a circuit only valid for steady state (phasors)?

This is my first post. I just finished a course about advanced circuit analysis techniques (the content was taken from textbooks by Sadiku, Hayt and Irwin.) As you know, phasors are used to solve ...
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How to calculate damping ratio and natural frequency of a high order system?

To calculate the rate of damping and the natural frequency of second-order systems is easy, third order as well. How do I calculate the damping rate, natural frequency, overshoot for systems of order ...
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60 views

To prove that Close Loop transfer function is sensitive to perturbation in H(s) but not to perturbations in G(s)

The feedback control system with high gain K is shown in figure
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Transfer Function For Electronic Pressure Regulator and a Step input

I was wondering if I could have some help in how to determine the transfer function for a Proportional Pressure Regulator. (VEAB-L-26-D7-Q4-V1-1R1). I have done a basic instrumentation and control ...
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Find the total gain from the following Signal Flow Graph

The signal flow graph for a system is given in the figure. Find resultant gain.
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transfer function on this problem ac circuit

Have a look at this circuit. I am to find the transfer function in this circuit which has to entries. Model two proposed circuits, where the inputs are vi1 (t), vi2 (t) and the output is assumed v0 (...
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59 views

Are phase angles in filter transfer functions primarily for stability?

I see transfer functions and bode plots (magnitude and phase) and it occurred to me, that I don't really use the phase plots at all. My career experience seems to have gotten away without having to ...
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39 views

Transfer function of full bridge inverter using mosfet and LLC circuit

I'm new at deriving transfer function and trying to derive the same for following circuit. It contains full bridge inverter circuit with input as 50 Vdc (50% duty cycle used to drive MOSFETs). Output ...
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61 views

Find the transfer function of an opamp circuit

I've the following circuit: simulate this circuit – Schematic created using CircuitLab I need to find the transfer function of this circuit. I did the following: $$V_+=\frac{R_1}{R_1+R_2}\...
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74 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 ...
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28 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 ...
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142 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\...
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134 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, ...
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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 ...
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59 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 ...
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93 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?
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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: ...
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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?
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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 ...
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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 ...
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71 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?
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71 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}{\...
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70 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 ...
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122 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 ...
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17 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 ...
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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 ...
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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 ...
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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 ...
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160 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 (...
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1answer
79 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 ...
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160 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 ...
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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 ...
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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 ...
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31 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 ...
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151 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 ...
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405 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 ...
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202 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 ...
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1answer
54 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 ...
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167 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: ...
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201 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 ...
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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-...