Stack Exchange Network

Stack Exchange network consists of 174 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
Join us in building a kind, collaborative learning community via our updated Code of Conduct.

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.

-3
votes
0answers
31 views

What is a magnetic flux [closed]

What is a magnetic flux and how a Tesla coil produces flux.Can one can explain the need of transistor in Tesla coil.
1
vote
2answers
103 views

How to define a transfer function for a given system?

I just finished reading this paper, on how to "draw" Bode plot for a given transfer function. After done reading I realized that it would be pointless to learn this stuff, if I wouldn't know how to ...
0
votes
1answer
49 views

Are these equations correct? (transfer function)

I have a given transfer function \$ |H| = \frac{R_2}{\sqrt{R_1^2+\frac{1}{(\omega c)^2}}} \$ where \$ c = 1\mathrm{\mu F} \$ and \$ R_1,R_2 \$ are unknown. I know that \$ |H(j\omega_c)| = 50.1 \$ ...
2
votes
0answers
30 views

Low entropy transfer function, output impedance

I am trying to understand and apply the concept of low entropy transfer functions as outlined by C.Basso and equally stated by a couple of people here. As an example I wanted to work through an L-C ...
0
votes
0answers
45 views

Issues to create a current control transfer function for a DCDC Converter

I'm trying to reproduce a work I've seen in an article, but I'm encountering some issues. I used the data provided and the transfer functions placed by the author, but I did not get the same result, ...
0
votes
0answers
45 views

How to get the transfer function of electrical network using nodal method

We have the following circuit: I am trying to get the transfer function using the Mesh Method. The first equation I've got is: (s+1) I1(s) - sI2(s) = Vi(s) The ...
0
votes
2answers
95 views

Transfer function of a bandpass

i was doing some homework and one thing I had to do was to derivate the transfer function of a given bandPass. I have done it myself but i dont know if it is correct nor if i followed the right path / ...
0
votes
0answers
35 views

How to get discrete state space equations from Laplace transfer function?

I had some trouble solving an exam problem which goes like this : Given a system transfer function H(s) = 9/(\$s^2 +9)\$ : 1) Find the discrete time state space equations 2) What is the conditions ...
-1
votes
1answer
42 views

Relation between dash pot and spring in forces when extracting a transfer function [closed]

If a spring load some energy and use it for opposing other forces, and a dash pot has a friction, physically the both shouldn't have the same force-displacement equation ? In most of dash pots, we ...
0
votes
1answer
48 views

Low Entropy derivation of Transfer Functions with OP AMPS

I was recently low entropy equations of passive filters, and came across the Extra Element Theorem and all of its uses. I was wondering if the there is something similar for OP AMP circuits/ Active ...
0
votes
2answers
51 views

Root locus, where do they leave the line parallel to imaginary axis

I know how to sketch by hand root locus of simpler systems. Consider the root locus which Matlab gives for: $$G(s) = \frac{1}{(s+4)(s+6)(s^2 + 10s + 100)}$$ I've marked the points of interest P1 and ...
0
votes
1answer
43 views

How to I go from generalized Transfer Function to generalized State Space, and back?

Question: How can I transform a generalized Transfer Function a generalized state space form (preferable with the First Companion Form), and back? For the sake of presenting an example, let us say ...
0
votes
1answer
81 views

Root locus for an open loop transfer function?

The function, rlocus(), in MATLAB is used for closed loop system roots for variation in gain K. However, I am curious if there is a similar function for variation ...
1
vote
2answers
58 views

Meaning of the “pole” of a transfer function with time delay

I learned in basic control theory that we can determine the stability of an LTI system by the signs of the real part of the poles of its transfer function \$H(s)=\frac{N(s)}{D(s)}\$. For a rational ...
1
vote
2answers
96 views

Transfer Function: Trying to understand the Laplace analysis of this circuit

I am trying to do the transfer function of this circuit and also trying to understand the frequency domain thing of the Laplace transform. I want to do a transfer function of VA/V1, considering B to ...
0
votes
1answer
43 views

gain of inverting op amp with resistor on input

I´m trying to figure out the transfer function of the attached op amp circuit. I came to the conclusion that v_out = - v_in as as the two resistors in the upper path are equally sized, and the non ...
-2
votes
1answer
78 views

What kind of software I can use to plot graphics like this? And how is this plotted? [closed]

I am trying to plot the transfer function of a circuit. What kind of software I can use to plot graphics like this, without using circuit simulation software? I would like to understand things ...
3
votes
1answer
53 views

PID tuning without plant model

My aim is to keep temperature constant at a certain place. I don't have a mathematical model of the plant. Currently, PID is used with some fixed Kp, Ki, and Kd, and I want to optimize these ...
1
vote
0answers
72 views

Phase Locked Loop Gain Design- FM Demodulation

Say I am trying to demodulate a message up to 25kHz in frequency, with a peak frequency deviation of 75kHz and a carrier of 1MHz, implying a 200kHz bandwidth using carsons rule. Would I design the ...
0
votes
2answers
79 views

Quality Factor and Cut-off Frequency Defintion

Suppose we have $$ H(s) = \dfrac{ k \frac{\omega_o}{Q}s}{s^2 + \frac{\omega_o}{Q}s + \omega_n^2}$$ What is the definition of the quality factor? My understanding is that it is the gain at the cut-...
1
vote
2answers
61 views

Inverse Laplace transform of double pole

Given the simple transfer function of a double pole: $$ H(s)=\frac{1}{(1+as)^2}=\frac{1}{1+s2a + s^2 a^2} = \frac{1}{1+s k_1 + s^2 k_2} $$ Its inverse Laplace transform is (e.g. [1]): $$ h(t) = -\...
0
votes
0answers
46 views

'Information nature' of transfer function?

Doubt: before I thought I had understood the transfer function, now, I realize that I did not understand what transfer function is it on a structural level , that is how it 'makes a circuit' or is ...
0
votes
1answer
75 views

Transfer function of high pass filter via impulse response function

I'm having a hard time computing the transfer function of a high pass RC filter, by taking the Fourier transform of its impulse response function: $$ H(\omega)=\int_{-\infty}^{\infty} h(t)e^{-i\omega ...
0
votes
2answers
71 views

RC Filter measured response differs from calculated transfer function

I've created a first-order RC filter with R = 68 Ohm, C = 5.0 uF, and I am studying the transfer function of this filter. I have calculated the transfer function to be 1/(1+jwRC), based on the ...
1
vote
4answers
126 views

How to find the system response given the transfer function without using Laplace transforms?

The given transfer function is: $$\frac{6p+100}{p^2+12p+100}$$ and inputted into the system is a unit step response: $$r(t) = \left\{\begin{array} f0 & t < 0\\1 & t > 0 \end{array}\...
0
votes
4answers
150 views

Approximation of second order system, by step response

I am trying to aproximate a transfer function of a system. The system is a linear actuator, connected to a feedback potentiometer. The following figure is a step respons, with 24 V as input, and the ...
1
vote
2answers
79 views

Tip120 simulation shows explosion

I am trying to use TIP120 for my inverted switch where I wish to have my DC water pump(rated at 5v, 3W, 600mA) running when switch is open (in actual these will probes that will complete path when ...
0
votes
1answer
60 views

Find optimal gains transfer function

I have the following closed loop transfer function: $$G(s) = \frac{K(s^2 + 200^2)}{0.05s^3 + (1+K)s^2 + 200{K_v}s + 200K}$$ Where \$K\$ and \$K_v\$ are gains. My goal is to find the optimal gains ...
1
vote
2answers
57 views

Transfer function of Operational Amplifier

I am trying to solve the following operational amplifier circuit to get its transfer function. I have tried two different approaches, one is elementary approach by finding V- and V+ and equating ...
0
votes
2answers
58 views

Natural frequencies of a bandpass filter

I have the following frequency transform used to design a low-pass prototype out of a bandpass specification mask: $$\omega=\frac{\omega_0}{B}\left(\frac{\omega'}{\omega_0}-\frac{\omega_0}{\omega'}\...
2
votes
2answers
37 views

Systematic high frequency error in TF measurements

Full disclosure, I've asked a very similar question before which didn't have much success as it was too specific. However I want to try again by restricting the scope of the question. Scenario I'm ...
0
votes
2answers
69 views

What does “\$\cos(2t)u(t)\$” stand for in this context?

The question in the above diagram asks for "steady state current to \$\cos(2t)u(t)\$" of the network. I'm not sure what \$\cos(2t)u(t)\$ is, in this context. Is it the transfer function? Or something ...
1
vote
2answers
123 views

MATLAB Code to calculate intermodulation and Third Order Intercept (of an Amplifier)

My well annotated MATLAB code and plot is attempting to calculate the third order intercept of an amplifier. I have raw data of a non linear transfer curve, Voltage in (array) and the amplified ...
1
vote
2answers
163 views

Transfer function of phase change controlled with capacitance

We have an RLC series circuit with sinusoidal voltage source of frequency \$\omega\$. The normal transfer function of current to voltage is: $$ G(s) = \frac{I(s)}{V(s)} = \frac{1}{R+s L+ \frac{1}{s C}}...
0
votes
1answer
52 views

Determine by the order of transfer function what kind of filter

How can I determine by looking at the following tranfer function, that is this the transfer function of a band-pass filter: $$\frac{1}{as^3+bs^2+cs+1}$$
2
votes
2answers
497 views

Op-amps circuit with diodes

I am a beginner at electronics and I am trying to solve my first problems with diodes and opamps. I have to find and draw the output voltage uο related to the input voltage ui knowing that the voltage ...
0
votes
1answer
48 views

Second order transfer function

I’ve been struggling with this circuit for over an hour I’m trying to find the transfer function, can anyone help me with that? ![enter image description here] Here are my attempts on this: (https://i....
1
vote
1answer
62 views

How can I find the transfer function of a quadcopter's motor? [duplicate]

I want a model of a quadcopter and, thus, I need the transfer function of the motor. Any suggestions on how to do it will be very helpful for me. Thanks.
0
votes
2answers
344 views

Transfer function for a Passive Second order Low-pass Filter and to determine the components values

I am working on an assignment about Passive, second order low-pass filters. Cool little things if you get to know them. We are given the placements of the passive components (Inductor(L1), ...
0
votes
0answers
47 views

Roll-off of a third-order active filter [duplicate]

I've a third order active filter, without zeros. I know that when \$f=0\$ the gain response is \$1\$. So the cutoff-frequency is located at: $$\left|\text{H}\left(\omega_0\right)\right|=\frac{1}{\...
2
votes
2answers
158 views

Roll-off of a filter

I know that the roll-off of a transfer function gain is given by: $$20\log_{10}\left(\left|\text{H}\left(\omega_2\right)\right|\right)-20\log_{10}\left(\left|\text{H}\left(\omega_1\right)\right|\...
1
vote
2answers
99 views

OP-Amp active filter analysis

Could you help me derive this transfer function for this OP-Amp circuit, I keep trying different methods and get no where close!
5
votes
2answers
108 views

Algebraic way for finding a transfer function of a filter

I've the following filter and I tried to write the transfer function for it: simulate this circuit – Schematic created using CircuitLab And I wrote for the current nodes the following ...
0
votes
0answers
45 views

How to derive the Tf of an amplifier from its datasheet?

I am designing a control system, where the forward path has an amplifier in Howland's current pump configuration. I want to derive the TF of the current pump, and also take into consideration the ...
0
votes
1answer
52 views

Can't draw bode curve of this zero

I have a transfer function like this: \$H(s)=\frac{s^2+\frac{1}{LC}}{s^2+s\frac{R}{L}+\frac{1}{LC}}\$ I can separate the denominator into an expression of the type: \$(1+s/a)(1+s/b)\$ and then plot ...
1
vote
3answers
496 views

Analysing a band pass sallen key filter

I'm trying to understand the transfer function of the band pass sallen key filter, which looks like: With the following circuit: How can I analyse it to get the transfer function? Thanks for any ...
0
votes
2answers
36 views

Can we think of an impedance or an admittance as a case for a transfer function?

We define impedance as the complex ratio of potential (voltage) over flow (current). We can describe it as how much a system "impedes" the flow according to a potential applied to it. But wouldn't it ...
0
votes
2answers
102 views

Why the phase response of a series RLC circuit plotted against frequency goes from 100 to -100 degree?

simulate this circuit – Schematic created using CircuitLab The transfer function which is $$\frac{Vo}{Vi}=\frac{R}{R+j(\omega L-\frac{1}{\omega C})}$$ The phase is $$-arctan(\frac{\omega L-\...
0
votes
3answers
78 views

What form for Transfer Functions to use for filters and Bode plots?

I've seen some different forms for the equation of a transfer function and wonder which one is most correct and why? Does it depend on type of filter etc.? Let's take an example and its transfer ...
0
votes
1answer
98 views

Jacob Shekel's method for ideal transformer

I would like to ask some questions relating to the thesis "Analysis of Linear Network" by Jacob Shekel. From chaper III - "The Network", section 3.6 - Network Transformations, the author explains ...