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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How do I find the fourth order transfer function from this step response diagram?

I have the following diagram of a system's step response: I'm having trouble understanding how to calculate the system's transfer function for fourth order. hir: How do I find the second order ...
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Zeroes of transfer function

In 'Franklin F kuo's book it is written that "The zeroes of transmission of the ladder occur at the poles of The series branch impendences or at the zeroes of shunt branch impendences" here ...
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Finding the transfer function of a opamp circuit with 3 opamps

I have the following circuit: I know that \$\text{sig}_+\$ is a voltage that is \$n\$ times bigger than the voltage at \$\text{sig}_-\$. Question: If \$R_g\$ is a coil with the value \$63\space\text{...
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Make a Negated General Impedance Converter

A General Impedance Converter (GIC) looks like this: Source: http://www.ee.nmt.edu/~wedeward/EE212L/SP15/ImpedanceConverters.html Where $$Z_{tot} = \frac{Z_1*Z_3*Z_5}{Z_2*Z_4}$$ But I need a circuit ...
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Help needed using convolution to calculate a system's impulse response

I have a circuit with the transfer function \$G(s) = \frac{1}{(s+1)^2}\$ and I'm asked to calculate the impulse response of the circuit. After looking into it I know that I need to use convolution ...
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BLDC Transfer Function

How would one create a transfer function for a PWM-controlled BLDC motor? I'm building a controller model in Simulink, and while I've found several references for transfer functions for BLDC motors, ...
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Transfer function synthesis problem

I think the answer is 1 and 2, so option C. But for the circuit to be realized, is the rule that there is a maximum of 1 degree difference between the highest and lowest order terms of the P (s) and Q ...
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296 views

How to estimate settling time of an overdamped system?

I've been trying to figure out how to estimate the settling time of a second order system in response to a step input of magnitude 5. The systems transfer function is $$G(s) = \frac{1}{(s+2)(s+4)}$$ ...
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218 views

Are there ICs that allow extracting a selected frequency component from a signal? [closed]

In many applications, what you need is just extracting one frequency from a signal (that is, to know its amplitude). I was dreaming about an IC that allows selecting a frequency of interest, perhaps ...
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Laplace vs Fourier Transforms in Transmission Lines

Consider an electric transmission line with transient equations $$\frac{\partial v}{\partial x} =-Ri -L\frac{\partial i}{\partial t}, \qquad \frac{\partial i}{\partial x} =-Gv -C\frac{\partial v}{\...
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Is there an English word for the output response of a non-minimum phase system?

I've noticed in some French language control courses they have a word for the initial part of the response of a non-minimum phase system. They say it has "un départ malin". I looked up ...
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Derivation of y(t)=H(s)x(t)

\$x(t)=e^{st}\$ is the input to the system. \$x(t)\$ is not going to present in this question anything else than the exponential \$e^{st}\$ where t is time and s is a complex valued parameter. \$H(s)\$...
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Sinusoidal steady-state analysis

Find the Transfer function of the given circuit in the frequency domain.The problem here is that the equations of this circuit become complicated by finding equal Z of R,C,L (right side of the circuit)...
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383 views

Transfer function of electrical network

I need help with this problem. The transfer function that I found is ((RCS+1)/(2RCS+1)) , but then I cannot go further because the form of T.S is untypical. The typical form of this question is RC ...
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Draw curcuit by transfer function

Using one operational amplifier, draw the circuit of an amplifier with the following transfer function: Vo = 6V1 + 3V2 + V3. Using one operational amplifier, draw the circuit of an amplifier with the ...
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(Convolution Integral): What does it mean to have an impulse response before t=0?

Context: I am currently learning about convolution integrals as they apply to circuits (LTI specifically, if I understand it correctly. (For the following, continue under the assumption that \$\theta(...
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How can you calculate the transfer function of any parallel circuits?

I have now seen a few cases where RC in parallel are used as a Filter or just the famous LC filter. But I am asking my self. How do you calculate the transfer function? Now Kirchhoffs voltage law ...
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How to find transfer function and system response?

what is the transfer function of the system? what is the impulse response of the system? what is the system's 3dB bandwidth?
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Zeros and poles in the following bode plot

According to the definition, zeros are the frequencies which make transfer function to be zero, and poles are the frequencies which make transfer function to be infinity. The definition can be seen ...
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Linear dropout voltage transfer function

I am reading this application note from Texas instrument : http://www.ti.com/lit/an/slyt187/slyt187.pdf?ts=1591543592096&ref_url=https://www.google.fr/. The application note give us the transfer ...
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Bode plot display in matlab

I would like to display a bode plot of a buck-boost converter using Matlab, so I got the figure shown below, If we look closer to the phase plot, we see that it starts from 360°. My wish is to make ...
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Second order differential equation implementation using OP-Amp

I am trying to implementat the following equation \begin{equation} x''+4x'+25=\sin(20t+36) \end{equation} using OP-Amp's. I tried to use state-space technique to implement it in the below circuit x ...
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Modulator gain in DCM mode of Buck converter

I am referring this document in Fig 19 the modulator gain is calculated by the formula that results i.e 112.73 with Duty cycle in DCM as ...
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Characterising an Audio Isolation Transformer

Rummaging around the junkbox in an effort to find a 600:600 ohm audio isolation transformer, I found a possible candidate rescued from a store closure some time back. It's basically a cheap, low ...
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Why do I need phase margin if I know the transfer function?

What is the point of examining the phase margin (or gain margin) for a closed-loop system if I can just solve for the transfer function. The transfer function will give any poles and zeros, which can ...
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Determine transfer function from circuit with different currents

Just started on the topic Circuit Analysis, and am supposed to find the transfer function of the following circuit: So I know I am supposed to use KVL to solve this problem. I can first transform ...
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104 views

How do i go about finding the transfer function of this system with two inputs?

This was how i tried to formulate the answer but ive been told its incorrect. $$R(t)=u(t)$$ $$D(t)=u(t)=1/s$$ $$K=10$$ $$H=1$$ $$G=\frac{K}{s(s+1)(s+2)} =\frac{K}{s^3+3s^2+2s} $$ If someone could ...
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Transfer function of a second order capacitive accelerometer

In order to find the transfer function of the accelerometer MMA7361L based on the information given in the data sheet 1 I first made a hypothesis that it a second order sensor since it has a ...
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Centroid from calculated root locus is different to the one from MATLAB

Hi all hope someone can help me here. My problem involves the transfer function G(s)=(s+32.8)/((s+2.8)(s+5)(s+27.8) ) As far as im concerned the centroid is ...
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67 views

Closed Loop Transfer Function - PD Control

For the following control system, I am trying to find the characteristics of the system. I have firstly found the closed loop transfer functions \$T(s) =\frac{C(s)}{R(s)}\$ , to be: \$G(s) =K_p(s+9)...
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How can I find the drain transfer function of a MOSFET on LTSpice?

I am trying to get the drain transfer function of a MOSFET by setting the drain to source voltage as the input and the gate to source voltage as the output. I created the following circuit in LTSpice: ...
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108 views

Is it possible to take the transfer function of a transistor?

I am using a common emitter amplifier to bias and amplify the signal from an electric guitar, and in the process I started wondering whether it is possible to include a transistor in a transfer ...
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how to plot on the same bode plot a manual function plot() with function bode()?

I have a a transfer function that I plotted manually using Plot(w,abs(f1(w)))(plotted for a digital filer since I dont have signal toolbox) and I have another function that I used directly bode(f2(s))(...
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56 views

What is the gain margin of the system, when the phase crossover frequency does not exist?

I have a simple questions I have a system in which the system will never reach -180 degrees for any frequency. Does that make the gain margin infinite ? If yes, does that mean that the system will ...
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Plotting a bode gain plot with the slope in Excel

I am not an expert in Excel, and therefore, I want to know if there is a way of including the slope (dB/decade) in a bode gain plot in Excel or any free software (that allows to first input the ...
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How to visually determine the damping ratio when we know the peak amplitude

I am currently trying to understand this example from the book, where it visually calculates the dampening ratio given the peak amplitude as well as the natural frequency. Here is the graph from which ...
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134 views

Closed Loop system with a second order dominated response on the verge of instability

I have the forward path transfer function of C(s)G(s) = K/s(s+3)(s+7) and want to find K so that it is second order dominated on the verge of instability. But i'm not sure how to find it when it is ...
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Phase margin vs. damping ratio (non-unity feedback)

So there is a well known condition which relates the phase margin with the damping ratio for a unity feedback system: $$\Phi_m = \tan^{-1} \frac{2 \zeta}{\sqrt{-2 \zeta^2 + \sqrt{1+4\zeta^4}}}$$ ...
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How do I calculate the DC output of this specific low pass filter?

Hi! I am having some trouble understanding how to calculate the DC output of this low pass filter. Also are my calculations correcet that the transfer function of the filter is: $$\frac{R_{\text{8}}*...
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Deriving Transfer function from position block diagram

For the system shown below I am trying to get the system function. I tried putting it into the equation: $$T(s) = \frac{C_G(s)}{1+C_G(s)\cdot H(s)}$$ where $$ C_G(s) = \frac{K}{s(s+3)(s+4)}$$ and ...
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Find 2nd order transfer function from step response

I have to find the tranfer function from the following step response. I would've known how to do this if the system had a steady state. Unfortunately, I don't even know how to begin this task. I know,...
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Find transfer function \$V_o(V_i)\$ on a figure

Given this figure: simulate this circuit – Schematic created using CircuitLab I want to calculate the transfer function of \$V_o(V_i)\$, but I can't find any good resource on it and I thought ...
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Help deriving the transfer function of an LC circuit?

I have the LC circuit below. I believe (but I'm not certain) that this is a 3rd order filter. Since there are two capacitors and 1 inductor. The circuit is a passive low pass pi filter. The ...
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77 views

Transfer Function of Electrical System

I am trying to find the transfer function \$\frac{V_{out}(s)}{V_{in}(s)}\$ of an electrical system that operates according to the diagram below. \$V_{in}\$ is switched between 0 and 13 Volts (i.e \$...
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Determining Z1 for voltage divider of RF Matching Circuit

I have a problem where I was given an RF circuit with a series RL load. I am tasked in finding a matching L circuit and determining the values of the components. I used a smith chart to determine that ...
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How to find the phase of this transfer function?

I have been trying to find the phase of this transfer function: G(jω)H(jω)=0.1695/jω(5.88jω+1) by doing this: Phase = -arctan(0/0.1695)-arctan(w/-5.88*w^2) PHASE = 0-arctan(1/-5.88*w) Is this ...
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190 views

Finding impulse response by a non-Laplace-transform method

The input function is $$x(t)=e^{-t}u(t)$$ and the corresponding output function of a linear system is $$y(t)=10e^{-t}\cos(4t)u(t)$$ where \$u(t)\$ is unit step function. I understand how to find the ...
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Line Impedance Stabilization Network (LISN) ripple to measurement transfer function

While reading about LISNs, I was lost a bit. The CISPR limits are in dBμV, so they're voltages. But are these an image of the current following IN the DUT? Below you're see the LISN transfer ...
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Colpitt oscillator transfer function

Can you guys please help me find the symbolic transfer function Vout/Vin in this colpitt oscillator ?
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44 views

transfer function pols

i am third year Electrical engineering student, i have some issues that i could not find a good explanation for it. lets say we have an RC circuit (low pass configuration). if we calculate the ...

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