# Questions tagged [frequency-response]

Frequency response is the quantitative measure of the output spectrum of a system or device in response to a stimulus, and is used to characterize the dynamics of the system.

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### Computing frequency response of a filter given Z-transform

I am currently working on a project that involves analyzing the frequency response $H(e^{j\omega})$ of the filter $H(z)= \frac{1}{2} (1+z^{-1})$. However, I am unsure about the specific steps and ...
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### Z-Transform of a Precoder with XOR

I am reading a paper called "Design and Comparison of Three 20-Gb/s Backplane Transceivers for Duobinary, PAM4, and NRZ Data" and got stuck on seemingly easy thing, how the Z-domain ...
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### Peak locations in Hz with findpeaks() (log spaced bins)

I have resolved peak locations using Octave findpeaks command: ...
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### How to match coefficients of a SVF compared to Biquad in order to Plot the frequency response?

I'd like to output the frequency response of this filter. Here's how the coefficients are calculated: ...
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### Frequency response measurements by audio signal FFT

I am trying to measure the frequency response of different audio canals, e.g. tubes, hollow pipes etc. My experimental setup looks like this: I generate an audio signal with a loudspeaker (Visaton WS ...
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### can I calculate freq response generically from filters?

I'd like to display the freq response of a Sallen Key filter type (in the specific case, this simple resonant filter). on biquad, for example, I calculate magnitude and phase from zeros and poles, ...
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### Improving Modeling of Thermal Noise Behavior at Antenna

Background I recently asked this question over on Electrical Engineering Stack Exchange. On the advice of some commenters there, I've broken off those pieces which are appropriate for asking as ...
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### Getting different results when fourier transforming in python vs mathematica?

I am interested in troubleshooting why I get a very different answer when doing fourier transforms of my data in Mathematica vs Python. The version in Mathematica is well behaved, yet all versions of ...
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### Need to make audio human listenable

I wrote some golang code which implements 3Blue1Brown's Hilbert's Curve: Is infinite math useful? ... give the code an image and it returns back its audio equivalent ( inverse Fourier Transform ) ......
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### How to compensate phase delay introduced by the digital integrator?

Let's say I have a digital integrator with transfer function in following form $$\frac{Y(z)}{U(z)} = \frac{T}{2}\cdot\frac{z + 1}{z - 1}$$ I have been looking for a mechanism how to compensate the ...
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### Lomb-Scargle negative power and Response time

I have response time (RT) data (values between 0 and 3) to a memory task. Participants made a response at about every 9.5sec with several breaks of 25sec. I want to analyse the whole timeseries of (RT)...
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### Bode Plot - Why we add dB value in some situations?

Question: Specify the straight -line approximation of the Bode magnitude plot: $$H(j\omega) = 0.04 \cdot \frac{jw+50}{jw+0.2}$$ I don't understand that in the plotting part we add 6dB for two ...
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### Inferring a response from the Analytic Signal

I have a slowly varying sinusoidal system. The output is separated using methods that produce a real signal $x(t)$ and quadrature component $y(t)$ such that $x(t)$ represents the real physical value ...
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### What is the name for the technique of comparing a time domain signal to an expected signal with a sliding window?

I was trying to think about how to do time-domain analysis of a real-valued signal to determine if it contains a particular carrier. I can obviously just compute an FFT, but that transforms a window ...
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I've just been working through the questions in Discrete-Time Signal Processing (Oppenheim and Schafer) and I came across this (Q33): Consider an LTI system defined by the difference equation $$y[n] =... 0 votes 1 answer 42 views ### Find the impulse response of a causal 52 day moving average system to be used in stock market [closed] Moving average system………………………. How to solve this one? 0 votes 0 answers 56 views ### Find impulse response and frequency response Given$$x(n)=\left(\frac{1}{3}\right)^{n}u(n)-\frac{1}{5}\left(\frac{1}{3}\right)^{n-1}u(n-1)$$the input to a LTI system, and output$$y(n)=\left(\frac{1}{4}\right)^{n}u(n)$$Find impulse and ... 0 votes 1 answer 68 views ### Identification of properties of a given FIR filter I have a FIR filter which is described via following transfer function$$H(z) = h(0) + h(1)\cdot z^{-1} + h(1)\cdot z^{-2} + \ldots + h(23)\cdot z^{-23},$$where the coefficients have below given ... 1 vote 0 answers 97 views ### Adding n\pi to the phase when estimating the phase velocity of a sound wave through a material Setup I'm estimating the phase velocity in a wooden table by using an actuator and 3 sensors. The actuator sends out a chirp and on the table there are 3 accelerometers with distance d between them. ... 0 votes 0 answers 30 views ### The frequency function for Y_t-18=0.4X_t+0.9X_{t-1}+e_t I am having trouble finding the frequency function that takes me from X_t to Y_t in the system stated in the title. X_t and Y_t are stationary stochastic processes and e_t is zero mean white ... 0 votes 2 answers 365 views ### Why do we have a negative gain after a certain point in frequency domain for a channel filter? Why do we have a negative gain(i.e. not negative as in polarity but gain < 1) after a certain point (1500 Hz). What is the reason and purpose for this. Why is that point the same for both DC and AC ... 0 votes 0 answers 50 views ### OFDM with frequency domain LMS-based channel estimation For OFDM, we usually perform least-square (LS) channel estimation using a set of training symbols. We usually do LS channel estimation per subcarrier in the frequency domain as follows:$$ \hat H_{LS}[...
I am given the z-transform of a filter $$H(z) = \frac{z^2 - 1}{(z-z_1)(z-z_2)(z-z_3)(z-z_4)}$$ where $z_1^* = z_2$, and $z_3^* = z_4$. I'm interested in the operation of this filter, and what happens ...
For time series, a simple high-pass filter is obtained by subtracting the previous value from each value: $y(n) = x(n) - x(n-1)$ If I take a multi-period difference: $y(n) = x(n) - x(n - a)$ where \$a &...