# Questions tagged [transfer-function]

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

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### How do optical anti-aliasing filters work from a frequency domain perspective?

To prevent aliasing caused by the finite number of pixels on a sensor, a blurring filter is commonly used. How does that work from a frequency domain perspective? What is the transfer function of such ...
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### System identification/ Filter estimation to mimic frequency equalizer of audio with Scipy

At the current problem I'm working on, I have two signals: One "original" signal that contains audio (voice). The second signal is the same audio file but edited with a frequency equalizer, for ...
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### Amplitude transfer function

Given a LTI-system $$y[n]=x[n]-2x[n-1]+y[n-1]- \frac{8}{9}y[n-2]$$ The transfer function $H(z)$ is: $$H(z) = \frac{1-2z^{-1}}{1-z^{-1}+ \frac{8}{9} z^{-2}}$$ How do I calculate the amplitude ...
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### How frequency response related to a transfer function

Can anyone explain how frequency response related to a transfer function?
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### Can I use Fourier transforms instead of Laplace transforms (analyzing RC circuit)?

I don't study electrical engineering or something related but I was assigned a problem on transfer functions, impulse responses, and in general, everything related to this post. (Specifically, I'm ...
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I have the following standard transfer function for a damped linear oscillator: $$G(s) = \dfrac{\omega_0^2}{s^2 + 2\zeta\omega_0s + \omega_0^2}$$ Now I have two eigen values at locations $-100 \pm ... 1answer 962 views ### Finding minimum-phase/allpass of transfer function I am trying to find the minimum-phase system of the transfer function$H(z) = \frac{2 + 3.125z^{-2}}{1-0.9z^{-1}+0.81z^{-2}}. I know I need to find and remove the allpass (basically reflect the two ... 1answer 149 views ### How can the order of a transfer function be derived from its equivalent state space representation? Suppose I have a discrete state space model: \begin{align} \theta[k+1] &= A \theta[k] + B u[k]\\ y[k] &= C \theta[k] \end{align} I know that the equivalent transfer function can be found by ... 2answers 31 views ### transform function with non-linearity I'm a newbie to Signal Processing - my apologies if this question is too obvious (I'm a financial trader trying to use DSP techniques). For a linear filter:y[n] = (1-p) x[n]+p y[n-1]$we can the ... 0answers 779 views ### Matlab's invfreqs won't fit at low frequencies I'm wondering of anyone can explain why invfreqs() is unable to fit a polynomial to the data in the image below. The red line is the measured frequency response of an analog system. I should mention ... 0answers 230 views ### What am I doing wrong?-Bode plots to get transfer function I've noticed a couple of similar questions which haven't been answered such as: https://dsp.stackexchange.com/questions/24381/derivation-of-transfer-function-from-bode-plot Anyway, I thought I would ... 2answers 795 views ### 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 ... 1answer 354 views ### Deconvolution using response to an Heaviside I'm measuring a "charge" signal in function of time from an amplifier. Here is a measured signal (x-axis is the time in some arbitrary units, y-axis is the charge in ADU): I would like to get the "... 2answers 2k views ### derivative filter transfer function In many of the papers it is said that the derivative filter transfer function is given by: $$H(z) = \dfrac{1}{8T}\left(-z^{-2} - 2z^{-1} + 2z + z^{2}\right)$$ But no one gave the detailed information ... 1answer 5k views ### Why eigen values and poles of a system are equivalent? In control systems engineering, the stability of a system (modeled in the form of Transfer Function) is determined by the poles of the system in the right or left hand sides. When the model is ... 1answer 494 views ### Why does the impulse response determine the transfer function of a system? [closed] why does it describe the transfer function.. How come? Especially for LTI systems. I thinking about the theory about how come an impulse input can provide information about a complete system.. As it ... 1answer 360 views ### Phase plot in Bode Diagrams I'm studying the transfer function of an aircraft that relates the pitch angle,$\theta$, with the horizontal stabilizer angle,$\delta$. $$H(s) = \dfrac{\theta (s)}{\delta (s)}$$ I have computed ... 1answer 190 views ### Forecasting with ARMA models, from a filter point of view ARMA models are afaik just filters with transfer function$ {MA(z) \over AR(z)} \equiv {FIR(z) \over IIR(z)} $. However forecasters of stock prices, market trends ... seem to be mainly ... 1answer 49 views ### input output read/write frequency I am trying to identify a system based on input/output response and thereby estimate a transfer function. I generated a frequency sweep function in Mathematica which gives me the discrete values of a ... 1answer 566 views ### Convert low pass continuous time filter design to bandpass, discrete time I am trying to convert the continuous time transfer function of a second order lowpass Butterworth filter is given by: To a bandpass fourth order bandpass digital filter, I first apply the mapping to ... 1answer 470 views ### Transfer function of double exponential smoothing? Double exponential smoothing a.k.a. Holt-Winters smoothing tracks level and trend of a time series in coupled IIRs:$\qquad$In:$Y_t$, t = 0 1 2 ...$\qquad$State:$L_t, T_t \quad$-- level and ... 1answer 618 views ### transfer function of wiener filter I am trying to understand the function of a Wiener filter. I get that the Wiener filter minimizes the mean square error between the estimated random process and the desired process. Does this mean ... 2answers 727 views ### Transfer function block diagram Can any one help with the$y[n]$and$x[n]$relationship in this block diagram, I just keep have a$t[n]$in my answer that I can't get rid off. On my best try I got to$y[n] = 2t[n]-x[n-1]-y[n-2]+x[...
I have a transfer function $$H(z)=\frac{1+1.2z^{-1}+0.8z^{z^-2}}{1-0.9z^{-1}}$$ from which I'm supposed to sketch the magnitude and phase response. I know that you can transform $z=e^{j\omega}$ to get ...