Questions tagged [impulse-response]
The impulse response of a dynamic system is its output when presented with a brief input signal, called an impulse.
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Channel Impulse Response of Visible Light Communication link
I'm doing research into Channel Impulse Response of VLC links for my MSc degree thesis and I have encountered a lot of troubles when doing experimental work and processing the data. For context, the ...
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Why use white noise over an impulse signal (or vice versa) to understand how a system would behave?
An impulse signal and white noise both have a flat spectrum. When they are passed into a system, the response will indicate how each frequency component will be modified by the system. Is there any ...
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Does the root mean square (RMS) value of the impulse response function (IRF) mean for something？
Considering a single-input, multiple-output linear system, I have the impulse response function between the input point and each output point. If I calculate the RMS of each impulse response function, ...
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Convolution with impulse response of damped harmonic oscillator acceleration
To get the way of the mass of a driven damped mass spring system I can convolve the impulse response $g(t)$ of the system with a driving force:
$x(t) = F(t) * g(t)$
This works for me in python using ...
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Show that the impulse response of an LTI system can be determined by observing the output and inputting white noise
Problem
Show that the impulse response of an LTI system can be determined by observing the output and inputting white noise.
Attempt
Let $x(t)$ be the input signal (white noise) and $y(t)$ be the ...
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Decay of the impulse response for poles contained in the unit circle
I've been struggling with the following exercise in Ljung's "System Identification: Theory for the User" (Problem 3G.1):
Given a rational transfer function $G(z)$ such that its poles are all ...
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Linear-phase zero-latency IR?
Is it possible to capture an Impulse Response of a linear-phase EQ (talking music software here) and then apply it to a new signal in a way that is both zero latency and phase-accurate?
My idea was to ...
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How to find response of DT system to an input
This year I have fallen behind in my Signals module due to poor mental health and insomnia. I have a homework due in 9 hours and dont understand anything, while also not having the time to learn ...
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Finding the impulse response of an c.t LTI system through the step response
Say we have a continuous LTI system of which we know the analytical expression of its step response. Let's call it $y_{\text{step}}(t)$. Having $y_{\text{step}}(t)$ (and therefore also $Y_{\text{step}}...
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USE Impulse response to get Original sound
I am a student majoring in acoustics. My English is not very good, so I apologize in advance.
In my project, I am dealing with impulse response in room.
Find the impulse response function between the ...
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Does the impulse response of every stable system have finite energy?
I need to show that the impulse response of every stable system has finite energy.
I have trouble solving this problem.
Since impulse input signal is unbounded, I can't apply BIBO stability of system ...
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Deconvolution with unknown impulse response
This is not a duplicate of Filter secondary bounces of a pulse signal because in that question, a convolution model is finally not appropriate, whereas here, the question is about convolution.
Given ...
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Filter secondary bounces of a pulse signal
I have a single "pulse" signal (looks like a gaussian but it is not exactly), followed by several bounces, with a constant period, that probably come from the electronics used (I don't have ...
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Non-uniformly partitioned convolution in real time
I am implementing a real-time convolution reverb. I currently have a working implementation, doing frequency-domain multiplication after FFT, using uniformly partitioned block sizes. This answer on ...
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How to find impulse response for the given system?
How can I find the impulse response for the following system in time domain? I actually would like to find my mistake in my attempt. Below is what I have tried according to the answer given for this ...
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How to design a system that stretches input by factor of 2?
In general, How do we design a system that takes input x(t) and outputs x(t/2)? I know that if system outputs x(t/2) then the frequency domain of output signal has the form X(2f). But what should be ...
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Impulse response synthesis in the frequency domain
Background - Create context
I am trying to synthesise some impulse responses to simulate an active noise control system. I have already formulated the problem in the frequency domain so now I want to ...
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The discrete-time impulse response of an IIR filter
Suppose you begin with the following model of a discrete impulse response:
$$h[n] = \begin{cases} \displaystyle\sum_{k=1}^K \alpha_k p_k^n & n \ge 0 \\ 0 & n < 0 \end{cases}$$
i.e. a linear ...
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What duration of a white noise burst is required for it to be "white" at a given frequency or frequency range?
I am running white noise bursts (with very short ramps on/off to prevent discontinuities) through underdamped resonant bandpasses which are tuned to any given $f_0$ and an underdamped $Q$.
Continuous ...
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What is the expected amplitude of the flat frequency response of a Kronecker delta function? Does sample rate affect it?
I was instructed here:
In the sampled-time domain a Kronecker delta, $\delta(n)$, has a perfectly flat spectrum. If you look at a table of discrete-time Fourier transform pairs, this is at the top ...
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What happens to the frequency response as a single sample Kronecker delta impulse widens into a square pulse, and then into two distinct steps?
1) Kronecker
I was instructed here that a single sample Kronecker delta unit impulse function (goes from 0 to $A$ to 0 again in single sample) has a white noise type frequency response - all ...
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How to find time-varying impulse responses?
Given is a system that can be described as
$y(t) = x(t)\cdot \sigma(t)$
with
$\sigma(t) = \left\{\begin{array}{ll} 1, & t \geq 0 \\
0, & t<0\end{array}\right. .$
The output of a ...
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How can I apply a filter to remove reverberation with python?
I am developing an algorithm that automates the processing of audio files for the assembly of datasets of machine learning models.
Among the steps to be followed for the processing of the files is to ...
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Impulse response and amplitude-frequency characteristic of a communication channel
The task is to implement communication system for transmission of 32 multiplexed signals through communication channel represented by copper cable whose frequency characteristic is given by:
$$H(f) = ...
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Characteristics of linear systems in the time and frequency domain
Why is the output signal obtained through frequency response different from the other two.
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Understand basic Impulse Response from Impulse, can you help me visualizing it?
I was looking at this graph from The Scientist and Engineer's Guide to Digital Signal Processing, copyright ©1997-1998 by Steven W. Smith:
where basically it shows how differnt representations can ...
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Analysis of impulse response in downsampling problem
Hey everyone, I'm stuck on this problem and I've got an exam in a few days. I think the filter H is used here so as to avoid aliasing artifacts, and afterwards went on to the second question.
I've got ...
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Applying Lowpass filter on a signal in time domain gives ringing artifacts - how to get rid of them
EDITED AND UPDATED:
My signal is an impulse response. In the following figure:
The frequency spectrum of the impulse response (original signal) is shown by blue line.
The original signal is ...
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Algorithm to "serialize" impulse responses
New user to dsp.stackexchange here. I'd like to know what's a quick and effective way to take 2 impulse responses and create one that's equivalent to both of these "in series" for audio ...
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On FFT, interpolating signal vs extending signal in time
When we interpolate, then FFT the output will have more bins.
When we extend the signal in time, Then FFT output will have more bins too but:
Interpolation increases max bin frequency but time ...
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Impulse response aquired by ifft seems to require circshift
On the system below:
I have found W by inputing 20-1000 frequency and found amplitude and phase for each frequency. I've tested for minimum phase and none min S. But the answer is not logical for me. ...
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How do I obtain narrowband reverberation times in the bass range to detect room modes?
I calculate my impulse response according to this principle. Calculating the inverse filter for the (exponential) sine sweep Method. With the obtained impulse response I calculate my reverberation ...
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Equipment to test my theory on time varying systems
How can I make a linearly time varying system to test my theory?
Can I ask for a PID microcontroller available from my university such that $K$ is gradually increased from 0 to $c$
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How to get an impulse response of a MIMO system?
So I have data vectors from a MIMO system and I wish to see the impulse response
Any idea how I can proceed with this?
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Sine as input to an LTI system
Everywhere in theory (books , online) there is this statement "For sinusoidal inputs, any LTI has a sinusoidal output with the gain of $|H(s)|$, the same frequency, and a phase shift equal to $\...
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How to obtain an impulse response from an exponential sine sweep (23kHz/50kHz)
I am currently working on my master thesis and have so far generated a broadband ESS to obtain frequency response and impulse response.
To generate the ESS as an excitation signal I use the following ...
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How can I find the impulse responce of this ODE?
$$ \frac{𝑑^2𝑦(𝑡)}{𝑑𝑡^2} + 2\frac{𝑑𝑦(𝑡)}{𝑑𝑡}+ 1 = 2𝑥̈(𝑡)$$
a. Write Matlab source code evaluate the impulse response of the system.
b. Write Matlab source code to evaluate and plot ...
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Why does convolution give the output of a passing a signal through a filter?
I have a rudimentary understanding of Convolution, the Convolution Theorem and why the output z(t) of an LTI system can be found using the convolution of input signal x(t) and the impulse response h(t)...
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Modeling an Acoustic Reflection from a Wall - a Paradox?
I am trying to simulate the reflection of a sound ray, that goes from a sound source, bounces off a wall, and is received by a microphone.
The wall has a an absorption coefficient, and a specular ...
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upsample impulse response
I have a system and I know its impulse response $h$, this impulse response was recorded at $f_s = 48000 \texttt{Hz}$, now I can use Matlab to get the system output to an arbitrary signal ($x$) by ...
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Exponential/Logarithmic Sine Sweep - Inverse Filter Amplitude Correction
I am implementing the exponential/logarithmic sine sweep approach to impulse response measurement (as presented by Farina - http://pcfarina.eng.unipr.it/Public/Papers/134-AES00.PDF).
My query is ...
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How can Haar basis be written as the impulse response of an LTI system?
Haar wavelets are defined as:
$$\phi_{0,0}(t) = \begin{cases}
1, & \text{ for } 0<t< 1/2\\
-1, & \text{ for } 1/2<t<1 \\
0, & \text{ ...
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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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Controllability matrix is full rank identity matrix
What does it mean, when my system has controllability matrix that is full rank and identity matrix? Having full rank means that the system is controllable, but does the Identity feature of my ...
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Impulse response of linear time-varying system
I am confused about linear time-varying system. For a time varying system, the output is given by
\begin{align}
y(t)=\int x(\tau) h_{\tau}(t) d\tau,
\end{align}
where $ h_{\tau}(t)$ is the output of ...
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Construction of Room Impulse Response - Short-Time-Fourier-Transform and Inverse-STFT - Matlab and NWaves (C#) Implementation
Background:
I am working on a Unity Project (C#) and implementing a Room Impulse Response synthesis.
I do ray tracing to create energy histogram for different bands.
With these histograms it is ...
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LLTV Systems breakdown(2)
In this question I proved that for a linear linearly time varying system $S$ such that if $t_{2} = t_{1}+t_{0}$ then $h(t,t_{2}) = h(t,t_{1})+h(t,t_{0})\rightarrow$ $h(t,t_{0}) = g(t_{0})h(t) $ where $...
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Impulse response of a discrete time cascading system
My lecturer has decided that in order to pass our signal analysis class, we have to give a presentation on the blackboard in front of the entire class, so its kinda critical that i get this right. (...
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LLTV Systems linearity breakdown
Suppose we have a linear linearly time varying system $S$ such that the output depends on the input + the time at which the system becomes excited so $S(t,t_{0}) \rightarrow g(t_{0})S(t)$ and it is ...
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How to find the first and list point of an impulse in a RIR?
I'm looking for a simple algorithm where given a RIR sample file I can find the beginning of the impulse and the last point of the tail.
If possible, would love to implement it in python.
