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Questions tagged [damping]

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How to suppress the strong initial value of the step function response

(Related to: https://engineering.stackexchange.com/q/14619) Quick question: I am getting a strong initial value and strong undershoot in the step response. How can I suppress it with the feedback ...
Antony's user avatar
  • 111
1 vote
3 answers
246 views

Sample Frequency does not matter if it is sufficiently large

I'm not able to convince a colleague on the following topic. Statement: If, and only if, the sample frequency is sufficiently large and above the Nyquist frequency it does not matter what fs is as ...
pimovietc's user avatar
0 votes
1 answer
341 views

Sum of complex exponential signal in MATLAB

I want to create a sum of damped complex exponential signal with the known values of frequency $f$, damping $\alpha$, amplitude $a$ and phase $\phi$ for the $k = 1,2,...,K$ exponentials. Is there ...
Neuling's user avatar
  • 103
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1 answer
256 views

Complex damped exponential signal with repetitive poles and the significance of falling factorial

I was modelling a complex damped exponential signal (discrete) with unique poles as below: \begin{equation} x = \sum_{k=1}^{K} (a_k e^{(j\phi_k)})(e^{\{(j2\pi f_k - \alpha_k)\Delta t\}t}), \quad t ...
Neuling's user avatar
  • 103
0 votes
1 answer
2k views

Pole Magnitude and Damping Ratio relationship

I know that the damping ratio of a system is defined by the angle of the pole, calculated with respect to the left hand side $x$-axis. Could one infer though, that if the magnitude of the poles is ...
giannis gonidelis's user avatar
7 votes
1 answer
570 views

How to calculate critical damping of a system with two springs and a damper (or two springs and two dampers)?

Background For a simple system where you have a mass attached to a spring and damper in parallel: We can calculate the critical damping from the equation of motion: $mx_{tt} + cx_t + kx = 0$ $ms^2 + ...
mike's user avatar
  • 533
2 votes
1 answer
180 views

How to derive 2nd order Butterworth condition for the damping coefficient mathematically?

The magnitude of 2nd order low pass filter is given as $$|H(\omega)|^2= \frac{1}{(1-(\frac{\omega}{\omega_o})^2)^2+(\frac{2\zeta\omega}{\omega_o})^2}$$ Now in order to achieve maximally flat within ...
Yihan Hu's user avatar
1 vote
0 answers
30 views

Quantifying the frequency shift of a delay with LP filtered feedback

I am working at a Karplus-Strong sound synthesis technique where an excitation impulse is subjected to a delay with feedback and a one pole LP filter in the feedback line. The process is simply y[0]=(...
elena's user avatar
  • 351
4 votes
2 answers
78 views

Is there any solution for this bandpass feedback overload problem (besides increasing sample rate)?

I have been working on a physical modeling string (eg. guitar/piano) synthesizer which is nearing completion. It is based on a modal array of resonant bandpasses, where each bandpass is set by Q and ...
mike's user avatar
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0 votes
1 answer
290 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 ...
Daniel's user avatar
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2 votes
0 answers
70 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 ...
mike's user avatar
  • 533
3 votes
1 answer
133 views

General tips for PID tuning of super low-friction actuator?

I realize this question is not directly related to signal processing, however, it's relevant to system analysis which is relevant to most signal processing engineers. There's also no good alternative ...
Izzo's user avatar
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0 votes
1 answer
58 views

What could be the discrepancies between theory and practice when implementing a proportional controller?

I implemented the following proportional controller circuit in practice. The transfer function of the plant I uses is $\frac{20}{(s+2)(s+3)}$. Before doing the experiment, I plotted the root locus ...
suyol854's user avatar
  • 173
1 vote
1 answer
317 views

Damped Harmonic Oscillation as an LTI

The goal is to create an LTI filter which is exactly, or approximates, damping of harmonic modes. The equation of course is: $$\frac{d^2 x}{dt^2} + 2 \xi \omega \frac{dx}{dt}+\omega^2x=0$$ This can ...
user76568's user avatar
  • 111
1 vote
0 answers
61 views

Equation for half-damped triangle signal

I have triangle signal, which is damped only at the beginning of ramping phase (blue line in figure). I want to fit this type of signal. Just now I use symmetric equation, which gives me a damp at ...
zlon's user avatar
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1 vote
0 answers
103 views

Parameter estimation of mixture of damped sinusoids

What are the most known methods (algorithms) for the parameter estimation of the superimposed (mixture) of damped (complex) sinusoids? The noiseless signal model (with $P$ sinusoids) is as follows: $...
Learn_and_Share's user avatar
0 votes
1 answer
311 views

Highly damped IIR/FIR digital filter

I want a highly damped highpass filter (damping of at least $2$), with a cutoff somewhere around $1\textrm{ Hz}$ ($51.2\textrm{ Hz}\quad f_s$) How do i go about designing the filter with adequate ...
Mauvai's user avatar
  • 101
0 votes
1 answer
98 views

Estimating Damping Factor (Q) from Noisy Measurements

I have a damped, tuned circuit and want to measure its Q factor. The hardware sends an impulse 'ping' and samples the output as it rings down. Is there an efficient way to fit an equation of the form ...
Phil's user avatar
  • 101
0 votes
0 answers
61 views

Smoothing for damped wave signal (fixed variance noise, but changing SNR)

My colleagues and I are arguing about how to smooth a damped wave signal. This signal is corrupted by white noise of a steady magnitude. However the signal damps out as it goes along. So, the SNR ...
barnhillec's user avatar
2 votes
1 answer
1k views

Difference between these frequency response curves

I am thinking about a simple mass-damper system response. Most single DOF systems show a frequency response plot that looks like this: Note how increasing the damping ratio always reduces the output ...
Arlin Sandbulte's user avatar
3 votes
1 answer
2k views

For a standard second order transfer function, what is the equivalent time domain significance of $\zeta>0.707$?

In frequency domain $\zeta>0.707$ implies no resonant peak in frequency response. But I am unable to correlate what is the exact time domain effect of this? If $\zeta=0.707$ acts like an '...
Dynamic_equilibrium's user avatar
4 votes
5 answers
4k views

What's the Q factor of a digital filter's pole?

For the analog S-plane, the Q factor depends on the angle of the complex pole $p$ from the horizontal axis, $\theta = \arg p$: damping factor $\zeta = \frac{1}{2Q}$, and $\zeta = \cos(\theta)$, and $\...
endolith's user avatar
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