Questions tagged [resonance]

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3answers
118 views

How can the location of the resonant peak in RBJ's shelving filters be calculated?

I'm attempting to use the low- and high-shelf filters from robert bristow-johnson's Audio EQ Cookbook1 for a filter that will have a pronounced peak - high $Q$, with a range of up to +24dB. The goal ...
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0answers
34 views

Can an unwrapped phase lag diagram have values beyond $-\pi$ to $\pi$?

I have a PLL that tracks the phase lag of a resonance system. When unwrapped, my system's phase lag has values beyond $-\pi$ to $\pi$. After unwrapping phase lag, are there any bounds on the phase ...
3
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1answer
82 views

Why is my resonance phase lag discontinous?

I am programming a phase-locked loop to track the resonance of a tuning fork so that the tuning fork is always on resonance. This will be used in condensed matter physics through atomic force ...
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1answer
55 views

How to detect resonance with DFT

In the last paragraph of this article, the author gives an example of the DFT of a song and his window's resonant frequency. As he points out (and it is a bit intuitive), if he listens to this song, ...
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1answer
50 views

Using Neural Network for locating shifting resonant frequencies

I have multiple FFT's taken from a sample at different pressures, through different analysis I can see that the resonant frequencies are shifting in the spectrum for each FFT at a different pressure. ...
1
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1answer
598 views

What is the step response curve of a second order low pass filter? And what if it is set for resonance?

I am doing a lot of audio synthesis DSP where I need to use low pass filters to shape the decay of an impulse. I understand that a one pole filter fed a discontinuity, say from a steady state of 1's ...
0
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1answer
158 views

Why is my filter unstable and self-oscillating in this case?

I am using resonant bandpasses to simulate modes of guitar/piano strings for audio synthesis. While attempting to introduce coupling effects I have encountered a problem. I will illustrate with some ...
0
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1answer
94 views

Modal analysis and frequency response function - interpretation needed

For couple of weeks now, I have been trying to measure cutting forces during machining processes. The system which I am currently examining is highly distorted at high frequencies due to its ...
2
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0answers
60 views

Coupling two resonant bandpass filters? (To simulate guitar/piano string effects)

A major part of the sound of a guitar or piano string comes from the coupling of the horizontal and vertical string vibrations. This concept is described in terms of transfer functions here. This ...
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0answers
76 views

Measure resonant frequencies from system output data

Suppose I have a real (physical) dynamical system with one capacitive sensor, and I also have the ability to extract data for this system in csv form. The system data output is shown below (graphs) ...
3
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1answer
83 views

Artefacts from playing ultrasound through PA system

I encode data in audio by energising 5 frequencies between 17.5kHz and 19.5kHz: I play the ...
2
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4answers
101 views

What is the moment when all oscillators aligned to make a jump called?

Say we have a square wave and its Fourier series. When the wave doesn't jump, its oscillators aren't aligned: But if they are aligned, the wave will jump: What is this moment called? They might not ...
3
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0answers
179 views

Gain of resonating filters

I'm trying to make a music instrument based on a resonator with a high Q, such as Ableton's Corpus and Ableton's Resonator (I think the former is based on a simple 2nd order resonant filter while the ...
1
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1answer
335 views

Resonance circuit peak filter with unity stopband in MATLAB

I would like to insert a filter with an resonant filter characteristic of a realistic mechanic oscillator. I need to apply it in the time domain, e.g. with a function such as ...
2
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2answers
2k views

How to understand multiple peaks in FFT analysis?

In FFT analysis, it is often seen that there are several peak frequencies with integer times of frequencies. For example, in the figure below, there are peaks at $0.2, 0.4, 0.6, 0.8$. The FFT figure ...
2
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1answer
218 views

$Q$ factor refers to what on a lowpass filter? (EE kind of definition)

For what I'm learning, the bandwidth (of a BPF, for example) refers to the $\Delta$ between $f_L$ and $f_H$ at (usually) $-3\textrm{ db}$ from the $f_0$ (from wiki). For a peaking filter instead, $f_L$...
1
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1answer
401 views

Reducing standing waves with phase randomization

Will constantly randomizing the phase of an audio signal, say a speaker in the corner of a square room, reduce standing waves (i.e. room modes) in the room? For example if you wanted to create a ...
1
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1answer
510 views

How can resonance be added to a fractional order Butterworth low pass

I am interested in how to add resonance (Q) to the magnitude response of a Butterworth low pass when it is expressed in the form: $$ G^2(\omega)=\frac {1}{1+\left(\frac{\omega}{\omega_c}\right)^{2n}} ...