Skip to main content
Share Your Experience: Take the 2024 Developer Survey

Questions tagged [impulse-response]

The impulse response of a dynamic system is its output when presented with a brief input signal, called an impulse.

Filter by
Sorted by
Tagged with
1 vote
1 answer
78 views

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 ...
LSK21's user avatar
  • 113
0 votes
1 answer
34 views

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 ...
Jason's user avatar
  • 1
0 votes
1 answer
38 views

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 ...
Lucy's user avatar
  • 1
1 vote
1 answer
66 views

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}}...
Nyquist-er's user avatar
0 votes
1 answer
35 views

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 ...
GEONYONG's user avatar
2 votes
1 answer
145 views

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 ...
karma123's user avatar
2 votes
2 answers
152 views

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 ...
g6kxjv1ozn's user avatar
1 vote
2 answers
119 views

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 ...
g6kxjv1ozn's user avatar
0 votes
1 answer
58 views

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 ...
Dani S.'s user avatar
  • 53
1 vote
1 answer
126 views

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 ...
Lars Smith's user avatar
0 votes
1 answer
45 views

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 ...
user133933's user avatar
2 votes
1 answer
47 views

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 ...
ZaellixA's user avatar
  • 1,314
1 vote
1 answer
57 views

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 ...
DangerousTim's user avatar
1 vote
0 answers
91 views

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 ...
mike's user avatar
  • 533
0 votes
0 answers
51 views

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 ...
mike's user avatar
  • 533
0 votes
1 answer
62 views

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 ...
mike's user avatar
  • 533
1 vote
1 answer
72 views

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 ...
Kaiser F's user avatar
1 vote
2 answers
185 views

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 ...
JouseJG's user avatar
  • 13
1 vote
1 answer
107 views

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) = ...
3d014's user avatar
  • 15
0 votes
1 answer
46 views

Characteristics of linear systems in the time and frequency domain

Why is the output signal obtained through frequency response different from the other two. ...
Alice Khomich's user avatar
0 votes
0 answers
50 views

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 ...
markzzz's user avatar
  • 45
2 votes
1 answer
66 views

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 ...
Raidriar's user avatar
4 votes
1 answer
198 views

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 ...
Tanmayee Pathre's user avatar
2 votes
2 answers
681 views

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 ...
delt's user avatar
  • 129
1 vote
2 answers
99 views

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 ...
mohammadsdtmnd's user avatar
0 votes
0 answers
23 views

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. ...
mohammadsdtmnd's user avatar
2 votes
0 answers
61 views

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 ...
Hannes Broschk's user avatar
0 votes
0 answers
73 views

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 $c$
Volpina's user avatar
  • 295
1 vote
0 answers
136 views

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?
user avatar
2 votes
3 answers
651 views

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 $\...
tonythestark's user avatar
0 votes
1 answer
124 views

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 ...
Hannes Broschk's user avatar
0 votes
0 answers
57 views

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 ...
Tareq Ewaida's user avatar
1 vote
2 answers
358 views

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)...
SNIreaPER's user avatar
1 vote
2 answers
72 views

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 ...
Mason Wang's user avatar
0 votes
2 answers
107 views

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 ...
user2982010's user avatar
4 votes
0 answers
261 views

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 ...
Laurence Hobden's user avatar
2 votes
1 answer
70 views

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{ ...
user avatar
1 vote
1 answer
139 views

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 ...
Ilse's user avatar
  • 11
1 vote
1 answer
96 views

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 ...
Neuling's user avatar
  • 103
1 vote
1 answer
217 views

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 ...
Harry's user avatar
  • 123
0 votes
1 answer
279 views

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 ...
nototherwise's user avatar
0 votes
0 answers
62 views

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 $...
Volpina's user avatar
  • 295
1 vote
1 answer
106 views

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. (...
Iscariot's user avatar
0 votes
0 answers
35 views

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 ...
Volpina's user avatar
  • 295
0 votes
0 answers
34 views

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.
Luca Moreno's user avatar
3 votes
5 answers
517 views

Linear phase with a non-integer delay?

Let's say you are given a frequency domain specification for a filter design. As a simple example, let's use an ideal (brickwall) LPF. Now the impulse response of an ideal LPF is a $\operatorname{sinc}...
Ahsan Yousaf's user avatar
  • 1,533
1 vote
2 answers
281 views

time-domain response to continous linear chirp

I am investigating the time-domain response of electromagnetic waves. The input signals are a chirp with linear frequency sweep 2.5 Hz->4.5 Hz -> 2.5 Hz and another signal which is abruptly ...
Reza Afra's user avatar
0 votes
2 answers
353 views

Get the inverse transfer function from the measured response

What is a numerically stable way to obtain the inverse transfer function from a measured response? I have a system that shows a low-pass behavior. I would like to increase the bandwidth by some form ...
P. Egli's user avatar
  • 193
6 votes
1 answer
708 views

Get the room impulse response by using inverse filter of sin sweep signal

I want to simulate the process of obtaining the impulse response of a room. What I did: Generate a room impulse response sequence by using the python module: ...
tx510's user avatar
  • 61
3 votes
1 answer
400 views

Integral of product of two shifted Dirac impulses

In this question the multiplication of two impulse functions is discussed However, what if I have two shifted impulses say: $z(t) = \delta(t-\tau)\cdot \delta(t-\beta)$ Now if I want to integrate $z(t)...
Ahsan Yousaf's user avatar
  • 1,533

1
2 3 4 5
10