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Questions tagged [transfer-function]

Transfer function is a mathematical representation of relationship between input and output (signal) of a linear, time-invariant system.

Transfer functions are commonly used in the analysis of systems such as single-input single-output filters, typically within the fields of signal processing, communication theory, and control theory. The term is often used exclusively to refer to linear, time-invariant systems (LTI), as covered in this article.

Source: Transfer function

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Transfer function estimation from logarithmic sweep frequency response data

I have complex frequency response data (of an analog system) in the range of 100 Hz to 100 GHz, and it is sampled in frequency with logarithmic spacing. I would like to be able to turn this into a filter in MATLAB such that I can multiply it with…
CMDoolittle
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Anti-causal systems

If Anti-causal systems are defined as those whose output depends solely upon future inputs.(Is this definition correct as I understand) So i see that $y[n] = x[n+2]$ ; is anticausal system How is a time reversing system such as: $$y(t) = x(-t)…
goldenmean
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What do we know about the transfer function away from its zeros?

So lets say I have a transfer function for an FIR filter $H(z) = (z-a)...(z-n)$ where $a,...,n$ are points along the unit circle. But what about other points along the unit circle that correspond to frequencies we want to leave alone? Won't we end…
Hector G.
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What is the general form of a transfer function

I repeatedly see two representations of the general transfer function in the literature. The first is the following which is factorization of the numerator and denominator polynomials: $$\textbf{G}(s) = k \frac{ (s - a_{1})(s - a_{2})(s -…
rhody
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If exponentials are eigenfunctions, where does the transient term come from?

Here you can see that the transfer function applied to a cosine input will give you a sinusoid and a transient term: $$ x(t) = \underbrace{(x(0) + x'(0))(2 e^{-t} - e^{-2t}) + \frac{2}{5} e^{-t} - \frac{1}{2}e^{-t}}_{{\rm goes\ to\ } 0 {\rm\ as\ }…
Guillermo Valle Pérez
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Output of a system given it's transfer function and input (beginner)

I have an exercise that gives me the transfer function of a system $$H(s) = \frac{3s^2+27}{s^4+8s^3 + 16s^2} $$ and an input $$x(t) = \frac13 cos(3t) $$ An ask's what is the output I don't whant the answer but the steps to calculate it. Where to…
Giannis Foulidis
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How can I compute the inverse digital of a nonrational transfer function?

My $G(s)=1-e^{-s/\tau}$, $\tau$ is very small, say of order $10^{-4}$. I need to compute a $H(z)$ (a digital filter) such that $H(z)$ has the inverse response of $G(s)$. Is ok even if $G(z)$ has the inverse response just for $f$<20k. I don't not…
mattia settin
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Z-domain transfer function question

For the difference equation below: $y(k)=1/2{x(k)+x(k-1)}$ How i can find he z-domain transfer function? Thanks.
pep
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How can we obtain the input signal in Python given the output signal and transfer function?

I have the following transfer function $$ H(s) = \frac{R}{sRC + 1} $$ where $V$ is the output and $I$ is the input. We can write $$ V(s) = I(s) H(s) $$ or $$ V( j \omega ) = I(j \omega) H(j \omega) $$ Now I have the output $V(t)$ as array of…
GNZ
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Coupled system instability

Suppose there are two linear devices (containing some multi-physics but the details don't matter here), and these devices are given to us as two black boxes that can be studied experimentally. Black box #1 takes signal X as input and produces signal…
Maxim Umansky
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Identification of a transfer function

Can you obtain a transfer function in frequency domain with a bode plot form given by this function: $$ S=k_1 \sqrt{1+\frac{k_2}{f}} $$ I did not managed it because actually in the lowest part of frequencies decreases with 10dB/dec. So is not a…
Ba5o
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Basic transfer function question

Why is the transfer function from node 2 to 3 $H_{23}=\frac{z^{-1}}{1+az^{-1}}$? I don't understand the $z^{-1}$ in the numerator.
James HJ
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Asymptotic bode plots

I am really struggling to see how the lecturer took this transfer function and produced the bode plot that I have in my notebook. It is not the plotting so much that is confusing, I just don't understand how he manipulated the transfer function into…
burton01
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Transfer function from experimental time domain data

I have two sets of time domain data. One is the input to a system and the other is its corresponding output, both measured at the same sampling frequency. How to calculate the system's transfer function from this experimental data?
Abdul Rasheed
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Block diagram transfer function of a line

What is the transfer function of a line, can i ignore it? After simplification i got the diagram: I don't know what to do with the empty feedback
Giannis Foulidis
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