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

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Matching headphone responses

First post, and this isn't my field of study, but I'm giving this a go anyway: My latest endeavor is to use a bit of DSP magic to match up various pairs of headphones, at least in terms of their ...
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2answers
80 views

Check if a filter is IIR or FIR

I have the following equation: $$H(z) = \frac{z^3+5z^2+3z+1}{10z^3}$$ I want to find out whether if its IIR or FIR. Here is the steps I have gone so far: $$H(z) = ...
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2answers
52 views

How to generate realistic echo to sounds?

I guess the most straightforward way of adding an artificial echo to a sound signal is to add its time-delayed version to the original signal. However, I am not sure how realistic that would sound ...
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1answer
19 views

Deconvolution using response to an Heaviside

I'm measuring a "charge" signal in function of time from an amplifier. Here is a measured signal (x-axis is the time in some arbitrary units, y-axis is the charge in ADU): I would like to get the ...
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1answer
38 views

Initialize a Room Impulse Response using reverberation time(T60)

I am doing Speech dereverberation using Non-negative matrix factorization. I need to initialize an impulse response($H$) such that its reverberation time ($t_{60}$) is $300$ ms. Let the length of $H$ ...
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2answers
52 views

Simulating the impulse response of a multirate digital filter

I have designed a CIC filter in Verilog and I would like to test its impulse response, but I am not sure where to start from. My input sampling frequency is 51200Hz, the filter is a third order ...
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1answer
50 views

BPSK modulation under bandlimited channel

I modulated signal using BPSK modulation and I have series of -1 and 1. Now I have to pass these signal from band limited channel that has frequency response of the form ...
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1answer
42 views

LTI system impulse response output [duplicate]

If I have a LTI system which has impulse response $h(n) = \left(\frac{1}{2}\right)^nu(n)$ and the entry is $x[n]=u[n]-u[n-1]$ where $u[n]$ is the unit step function. In order to find the output I ...
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4answers
121 views

Sine sweep vs impulse response

What kind of pros and cons does these method for identifying a system have? I seem to have a hard time finding literature discussion in this issue. I am operating on a linear system, or the linear ...
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2answers
37 views

Inputs for system identification

What effects does have a different input such as impulse, step, sine sweep etc. on performing a system identification? I mean what is up/down side, and which one is best, and why chose one rather ...
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0answers
51 views

Relationship between values of frequency magnitude and values of time amplitude in an audio signal

I have an audio signal in wave format, with its time amplitude values located between -1 and 1. When I compute its fft (in respect to the whole signal) and then extract its absolute value to plot the ...
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1answer
406 views

What does it mean to deconvolve the impulse response

I am learning DPS and I came across the problem of deconvolution and removing the impulse response from a signal? This still does little sense to me. My understanding of the impulse response is to ...
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0answers
39 views

Find impulse response and frequency response through given filter [duplicate]

I cannot find anything truly helpful in my book, and I find mostly theoretical answers and not practical. So I am posting the exact exercise I want to solve, and through it I hope I'll work some ...
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1answer
75 views

LTI system output

I compute the output of a LTI system, can someone tell me if my answer is right..? and help me with my others questions? The impulse response is: $h(n) = \left(\frac{1}{2}\right)^nu(n)$ , entry is ...
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1answer
59 views

Magnitude value of filter frequency response

Can someone help me with this problem: Suppose we filter signals with the below pre-emphasis filter: $$y[n]=x[n]-0.8x[n-1]$$ I have to calculate the impulse response of the filter (ok easy) and ...
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1answer
55 views

pre-emphasis filter - parameter a

Can someone give my a link to study to solve this problem. I can not find any formula for this problem... Suppose we filter singals with the below pre-emphasis filter: $y(n)=x(n) - ax(n-1)$ How can ...
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0answers
40 views

Filter sharpening; a stub

Filter sharpening is a technique to sharpen the magnitude response of a digital filter. Finding information online about it is problematic since almost all google hits will be about image sharpening ...
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0answers
31 views

Compute the impulse response from analog frequency response sampling

I want to compute the impulse response of a linear analog system. I have measured the frequency response of this system, say $H(f)$, at many frequency bins(fixed step size), and obtain a vector ...
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2answers
97 views

Eigenfunction of LTI causal system Z-transform

I am studying for my DSP final and I came across this question from the Oppenhiem and Schafer book 3rd edition. The question says 3.18 A casual LTI system has the system function ...
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1answer
154 views

Prove that time-reverse yields inverse filter for deconvolution?

In reading literature on the construction of impulse responses from sine sweeps (e.g. papers by Farina), I see it stated over & over that the way the impulse response is constructed from a ...
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0answers
90 views

Problem implementing deconvolution to recover an Impulse Response

I’m new to DSP programming and I’m trying to learn a bit about convolution and deconvolution and FFTs. I have a project where I am taking a signal (a sine sweep) and convolving it with a shorter ...
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1answer
58 views

How to prove that this impulse response is stable?

This is the impulse response: Can anyone give a detailed method to prove that it is stable or not ?
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0answers
425 views

How to perform Wiener deconvolution in Matlab

I have an output signal y which is an input signal x convolved * with an impulse response ...
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1answer
40 views

What is a correct way to downsample an impulse train

So I have a signal which is caused by an impulse train. I can determine the impulse train with 500hz but sample my output signal with only 10hz. Then I want to calculate an impulse response function. ...
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2answers
56 views

linux commandline impulse response convolution reverb

I need to do an ir convreverb on a lot of wav files i got, always with impulse responses of different rooms. it does not have to be zero latency so even calculating the convolutional reverb would be ...
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2answers
38 views

Re-recording audio vs. convoluting old audio data - differences?

I want to transform a studio audio dataset into a smartphone audio dataset (used for a speech recognition application). Would there be any difference in the resulting audio files using one of the ...
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0answers
9 views

Response to spatially varying impulse response

From this 2003 question paper: Is the following answer to part (a) correct: $$ g(x,y) = \{f*g\}(x,y) \\ = \int_m \int_n f(m,n) h(x-m,y-n) dm dn \\ = \int_n f(a,n) h(x-a,y-n) dn \\ = \int_n f(a,n) ...
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2answers
152 views

Convolving Room Impulse Response with a Wav File (python)

I have written the following code which is supposed to put echo over an available sound file. Unfortunately the output is a very noisy result which I don't exactly understand. Can anybody help me with ...
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2answers
128 views

Determining whether or not a system is BIBO stable

I'm trying to determine whether or not a system with impulse response $$ h(t) = \sum_{n=-\infty}^{\infty} \delta(t-2n) $$ is BIBO stable. I haven't touched this material for a very long time -- ...
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1answer
118 views

understanding discrete-time convolution in LTI systems

I'm trying to understand the discrete-time convolution for LTIs and its graphical representation. standard explanations (like: this one) start with the idea of decomposing an input signal $x[t]$ into ...
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4answers
436 views

What is meant by Impulse Response [duplicate]

I have read in all books that: Impulse(n) = 1 when n=0 , 0 otherwise So when we state impulse response of signal x(n) I do not understand what is its actual ...
0
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1answer
66 views

Find B given A and impulse response of B/A

Here is a small MATLAB function that computes B in B/A given A and the impulse response h of B/A ...
0
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1answer
97 views

Impulse response of the inverse system to the backward difference

I'm currently stuck on a problem. I have a DT LTI system $\mathcal{T}$ that depicts the first backward difference: $$y[n] = \mathcal{T} \{ {x[n] \} } = x[n] - x[n-1]$$ Its impulse response is ...
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2answers
89 views

Why impulse response

Why do people calculate impulse response? Generally systems are designed after modelling the possible input signals and calculating the appropriate filters for the desired outputs. Where does impulse ...
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1k views

Confusion regarding reverberation time (RT60) calculation

I have some confusions regarding reverberation time (RT60). I need to calculate reverberation time from a given power envelope. This is what I get. As you might see the line is curved close to zero ...
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2answers
833 views

How to calculate step and impulse response at multiple sampling rates

I'm struggling with a basic concept. Suppose I have a system $y(t)=e^{-at}u(t)\ast x(t)$ and I want to plot impulse response and step response using Matlab conv() function at various sampling rates. ...
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1answer
89 views

Inverse DTFT of $e^{-j\omega}$

I've been trying to solve the following problem, but I noticed that I get two different answers by means of two different techniques: Find the impulse response, $h(n)$, of the following system, ...
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1answer
308 views

Difference between real and complex impulse responses? [closed]

I want to know the characteristic differences between real and complex impulse responses. Thanks, JK
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1answer
68 views

Conceptual question from signal processing: impulse response and linear regression

In continuation to the previous question Conceptual questions from signal processing I have a doubt which is : Consider an Autoregressive model (AR(2)) : $y(t) = ay(t-1) + by(t-2)$ and a FIR (Moving ...
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2answers
164 views

What is the amplitude of the impulse resonse

I'm learning how to construct a discrete signal as a sum of impulse responses of the system. The final formula is then: $$ y[n]= \sum_{k= -\infty}^\infty x[n] h_{k}[n] $$ My question is, what is ...
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1answer
93 views

Property for time invariance of system in terms of its impulse response

From the textbook Signals and Systems by Oppenheimer ... If we define $h_k[n]$ to be the impulse response to $\delta[n-k]$, then for the system to be time-invariant, we must have $$h_k[n] = ...
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1answer
85 views

What is the impulse response for 2D functions

I study image processing and I am new to it. so my question is for example what is the impulse response for: $$ y(m,n) = 3\times x(m,n)+9 $$ $$ y(m,n) = m^2n^2 \times x(m,n) $$ where the $y(m,n)$ ...
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2answers
62 views

Computing impulse response for system with feedback terms

I'm trying to compute the impulse response for the following system: $$ y(n) = \frac{1}{2} \left( x(n) + x(n-1) \right) + \frac{1}{2} y(n-1) $$ and am told to assume that $y(-1)=0$. My solution: ...
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1answer
420 views

Differences between matlab's 'impulse' and 'lsim' command; create impulse response

I've got following problem: assume you've this continous system 1st order: $$ H(s) = \frac{1}{1+s} $$ s = tf('s'); sys = 1/(1+s); I'm going to discretize this ...
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0answers
48 views

Describing a time delay at a maximum for maxima and minima but tends to 0 elsewhere

I have two force-time signals obtained from a couple of force plates, corresponding to input/output signals for some system. Plotting the two together one of the first things I noticed was a time ...
3
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2answers
84 views

Impulse Response with non-delayed feedback

I've been trying to solve a Discrete LTI System problem where the overall impulse response of the following System, whose input and output sequences are, respectively, $x(n)$ and $y(n)$, has to be ...
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2answers
285 views

How to compute the impulse response from a transfer function

Say I have a transfer function, for example: $$H(z)=\frac{1}{1+0.1z^{-30}}$$ How can I compute the impulse response? (This is just an example, the important thing is that it is in closed symbolic ...
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1answer
284 views

How to calculate the zero state response?

In the following question and answer I kind of get it how it is calculated at surface but I don't get it fully. Can someone please explain the answer in depth?
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5answers
211 views

Frequency response creates non-causal impulse response

I have frequency response data. It is output from an acoustic simulator. I convert this into an impulse response, and get: In that picture the blue line is the impulse response. Mostly it is ...
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4answers
181 views

Impulse response of an LTI system

Why do we always characterize a LTI system by its impulse response and not another response like the step response, what does the impulse response have so special.