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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Analog Compensator Vs digital Compensator in Power electronics Converter

I was working on designing a feedback compensator for my buck converter. I decided to use the compensator circuit in the feedback and give its output to Arduino which gives the duty cycle as shown ...
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Passive filter design from transfer function

I would like to implement a passive RIAA filter circuit. This is the bode plot of a RIAA equalizer. The transfer function of this: H(jw) = (jwT1 + 1)/[(jwT2 + 1)(jwT3 + 1)] where time constants are ...
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What exactly changes at closed loop transfer function, when circuit move from CCM to DCM - half bridge convertor (Buck derived)

I have hard time to understand what exactly changes in close loop transfer function when it goes from ccm to dcm. When we close loop, blocks which signals goes through are: A(s) LC post filter with ...
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trasfer function [closed]

find the transfer function of the circuit below Consider a circuit with an impedance connected in series to two parallel impedances. The circuit is powered by a 230V, 50Hz supply. Each impedance has a ...
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Transfer function mesh analysis

I am stuck with this problem. I simplified my answers using Mathway, and the answer in the book is different. Any help will be appreciated. My solution: I also don't understand how the book is able ...
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Determine the transfer function for the Butterworth bandpass filter? (At the Transfer Function Factoring and Sp Substitution stage)

The Parameter $$a_{pass} = - 1dB$$ $$a_{stop} = - 20dB$$ $$f_{pass1} = 10kHz$$ $$f_{pass2} = 30kHz$$ $$f_{stop1} = 5kHz$$ $$f_{stop2} = 60kHz$$ A. Approximate Low Pass Filter Filter Ordo $$n_B = 4.29$...
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What is minimum gain crossover frequency in bode analysis?

I know gain crossover frequency at which magnitude of open loop transfer function is 0. But what is the case here for minimum Wgc?
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Calculate the transfer function of an OPAMP circuit [closed]

I have an OPAMP circuit that its output increase steadily without cahnge in the input. I guess the issue is in the transfer function of the circuit and its stability. I want to calculate the transfer ...
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How to determine the transfer function of this pi filter?

I have this pi filter, I wonder how do i determine the dynamic model and the transfer function of this filter?
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Determining Transfer Function from Block Diagram

I'm doing my homework and need to find a transfer function W_eg (from input g to output e) using given block diagram. The problem is that the output e disappeared. I made a step by step solution how I ...
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Finding transfer function of high-pass circuit

I've already done the calculations myself, but I am getting a completely wrong answer for the poles and zeros. I'm not sure what I am doing wrong. If someone could point out my mistake please I would ...
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How to separate 4th order transfer function (Butterworth Approximation) into 2nd order using Python Control Library?

Previously I had the following coefficients in the program. In this program I want to create a transfer function of butterworth approximation (Digital Filter Design - Digital Signal Processing). ...
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Complex Block Diagram Reduction

I have this Block Diagram and I need to simply it. But I'm still confused and this is my progress currently. I don't know is this correct or not. Maybe someone can help me.
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Transfer Function from Charge to Voltage

I have this circuit I am working on for a personal project with a piezoelectric sensor. It’s essentially a charge amplifier with some extra features. I’m trying to work through the math to get a ...
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Consider the following circuit system (RLC Circuit, R and L parallel then series with C), please determine the transfer function

i'm trying to figure this out, but i'm still confused. Can anyone help me? Thank you This is what i've done. Am i in the correct path?
SKevinAR18's user avatar
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Second-order RLC transfer function

I solved the exercise in the picture with Laplace: Not being familiar with systems theory yet, I do not understand one thing (circled in pink in the picture.) The transfer function found with the ...
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Find a model with transfer function and real data

I am currently trying to create a model using a transfer function and my data. Here is my schematic: Here is my transfer function: My input signal is 2.5V for 10s, after which I decrease the voltage ...
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Transimpedance amplifier with parallel RC

Consider this circuit. Since a constant current source is present, the output voltage will always be $$V_o=i_sR_f$$ However, you can also drive $$i_s=i_c+i_R=C\frac{dv_c}{dt}+v_c/R$$ Then you can say ...
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Poles of system seem counter intuitive

I have a system with the three poles 0+8i, 0-8i, and -0.5. When I input a sinusoidal signal, this is the output: Based on the poles, -0.5 is in the left side of the plane so it should be stable. +8i ...
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Clarification of the loop response of a TPS54350 buck converter (LTspice)

I've modeled the equivalent model for the TPS54350 shown on page 14, Figure 23, using component values from application circuit on page 15, Figure 24. I'm feeling quite rusty on my controls knowledge ...
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How can a power converter small signal model predict transient behaviour during a load step which is a large signal disturbance?

I see small signal model being used to predict the Overshoot/Undershoot of output voltage due to a load step. How do we justify this approach, since the basic assumption of small signal modelling is ...
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Time constants to include in Transfer function derivation of third-order filter using the FACTs method

Concerning the problem of calculating the transfer function of a third-order filter; see Help deriving the transfer function of an LC circuit? A method kindly explained by Verbal Kint is 'FACTs', ...
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Why does my MATLAB calculation/simulation differ greatly from my LTspice simulation?

Here is my circuit in LTspice. The frequency AC is here: This is DC with .op command. --- MOSFET Transistors --- Name: m1 Model: nmos-sh Id: ...
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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 ...
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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
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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 Z(...
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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 ...
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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 ...
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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 ...
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Complex-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 ...
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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 ...
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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 ...
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Transfer function of a heating system

I wanted to design a small temperature-regulated DC heater for the sake of educational purposes in the field of control theory. The idea is to heat up a resistive element through a buck converter of ...
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What's wrong with my FET transfer function?

The following is from the book Design of Analog CMOS Integrated Circuit, page 207. Find the transfer function of the circuit in Fig. 6.47(a): Suppose the voltage at node A is \$V_x\$. with the use ...
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should we consider \$R_{out}\$ for \$\omega_{out}\$ in transfer function?

The following is from the book Design of Analog CMOS Integrated Circuit, Page 180, Example 6.5 compute the transfer function of the common-gate stage. $$\omega_{in} = \left[(C_{GS} + C_{SB}) (R_S \...
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Which \$\frac{V_{out}} {V_x}\$ is correct here? Mine or the author of the book?

The following is from the book Design of Analog CMOS Integrated Circuit, Page 177. "Determine the transfer function of the circuit shown in Fig. 6.9(a) using (a) direct analysis and (b) Miller’s ...
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Allowable process variation for non minimum phase plant

Scenario (plant model subject to process variations) Consider a plant \$P(s)\$ in series with a controller \$D(s)\$ with a negative feedback path around it, where the closed loop is given by the ...
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Impulse response of an RL circuit

I've got homework in the Signals & Systems class I'm taking, and I'm trying to find the impulse response to this circuit whose transfer function I've found. In the class we've done practice ...
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Transfer function of an op-amp circuit with inverting feedback and dual input

Given the below circuit containing two ideal op-amps, how can I find the transfer function? I am confused by the \$-K\$ op-amp. Typically we need to find a transfer function like $$V_0 = f(v_1,v_2)$$
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Common mode voltage with configurations of Opamp

I am reading this article (https://www.analog.com/media/en/training-seminars/design-handbooks/designers-guide-instrument-amps-complete.pdf) in order to understand more how traditional instrumentation ...
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Transfer Function of Differential opamp with common mode voltage

When we consider the relationship between Vout and Vin of the differential amplifier, we connect one of its inputs each time to the ground to ignore that input voltage in the calculation, in order to ...
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Using block diagram reduction rules, convert the block diagram to a simple loop and determine the transfer function

I don't know how how to reduce after the branch point next to H1 from which it is connected to 2 summation points.
Justice's user avatar
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Transfer function for CMOS opamp design

I am currently working on my bachelor thesis about readout interface for resistive gas sensors. In the whole schematic a use an opamp which I am currently trying to design. At first, I want to have ...
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Second-order Butterworth gain calculation at cut-off frequency

The Butterworth second-order low-pass filter has the following transfer function: $$\frac{\omega_c^2}{s^2+\sqrt2s\omega_c+\omega_c^2}$$ We know that at \$s=\omega_c\$, the filter's attenuation is -3 ...
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Does the law of reciprocity hold true for the phase response of an antenna?

I know that an antennas spectral transfer function should be the same in both transmit and receive due to the law of reciprocity, however does this law hold true for the phase response (AKA phase ...
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How can I calculate the parameters of an inverse Chebyshev active filter?

I'm currently designing an inverse Chebyshev 7th order low-pass filter with three 2nd-order low-pass notches and an RC low-pass filter. I've already used Simulink to obtain the s-domain transfer ...
PAT's user avatar
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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?
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Why don't these JFET simulations agree?

I was solving for poles and zeros of this JFET amplifier with an active load, and found an unexpected zero far off in the response when using the SPICE model. The large-signal and small-signal models ...
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Expression of a feedback circuit

I'm modelling a feedback circuit in Ltspice, however, I want to work out the transfer function for it. See below for the circuit. Now I want the form of Vfb/VOA_o as: So, I've thought about breaking ...
alanwake29261's user avatar
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621 views

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 ...
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