Signal Processing Stack Exchange
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Questions tagged [impulse-response]

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

An impulse response refers to the reaction of any dynamic system in response to some external change. In either cases, the impulse response describes the reaction of the system as a function of time (or possibly as a function of some other independent variable that parameterizes the dynamic behavior of the system).

Source: Wikipedia.

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How to estimate the number of taps needed for subsequent channel estimation algorithms?

I recently implemented an MMSE channel equalizer, and I have read about many other types of channel estimation/compensation algorithms out there. However, one thing that is never talked about it how to estimate the number of taps in your model of…
Spacey
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Impulse vs Step response

What is the difference between an impulse and a step response diagram?
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Does this lowpass filter have a noncausal impulse response?

I'm doing some measurements with my sound card, I have one output channel connected to one input channel. I then send the sound card a unit impulse, i.e. a signal 1 value followed by zeros. The recorded response is shown below. I know that the…
Lance
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Rough estimate of how close a human speaker is to a microphone?

Is there a known technique for estimating how close a human speaker is to a single microphone? I'm hoping that there is a known technique that can analyze an incoming audio signal that contains a human voice with typical ambient room noise, and give…
Robert Oschler
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How to identify impulse response of noisy system?

My lecture slides mention that two-level ("2-tasoiset" in Finnish) signals are good in identification with linear systems. I am trying to understand this in noisy system. I cannot find any method really to identify the impulse response, perhaps good…
hhh
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How can I obtain the impulse response using a dual channel FFT?

I want to obtain the impulse response of a space to calculate reverberation time using the Schroeder method. This space is characterized by the short reverberation time within 0.5 seconds due to the properly installed sound absorption…
Toney
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Extract Impulse Response of a System From its Input/Output Waveform

I am a new engineer for signal processing field. I want to extract the system impulse response from input and output of the system, i.e. so-called system identification, more specfically, for impulse response. E.g. I could input waveform to system…
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Help understanding impulse response

I am having trouble understanding the impulse response function. I have a beam of 10 m long. I place 2 sensors, one at point A and one at point B. I then excite the beam at point E (shown in picture) by tapping it with a hammer. I then repeat this…
Ben1000
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Experimental determination of impulse response function

I am doing an experiment (I major in physics, not familiar with signal processing so there may be some naive mistakes, please be kind) which requires acting arbitrary pulses on a system. I use an AWG to generate the pulse (current), bring it to the…
user27847
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Finding the impulse response, given a differential function involving the input and output

I'm starting to teach myself some signal processing, and I'm stuck on this problem where I have to find the impulse response $h(t)$ of a causal LTI system given: $$y''(t)+2y'(t)+y(t)=x(t)$$ So far what I've done is taken the Laplace transform of…
Jacob Parnacov
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Impulse and unit step response

I'm trying to understand impulse and unit step responses, but I'm not sure if my understanding is correct. In general, are the following statements true: a) The impulse response for a system $x(t) \mapsto y(t)$ is $y(t)$ when $x(t) = \delta(t)$…
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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 -- could anyone lend a helping hand? I recall needing to…
Jason Rudiker
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Help finding the output for input with conditions

I'm trying to find the output where $h[n]$ is the impulse response of a real stable causal LTI system, and $s_0 \epsilon \mathbb{R}$, and where the input is $x[n] = e^{2\pi i n s_0}$ for $n \epsilon \mathbb{N}$. Supposedly my answer should be a…
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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 $$h_k[n] = h_0[n-k]$$ I don't understand how the last equation…
curryage
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Impulse response out of a modal model, how is it gotten?

I'm reading about modal models and related modelling. For example, I'm reading this paper: Modal Synthesis for Vibrating Objects Kees van den Doel and Dinesh K. Pai I am confused about the theory source for $y(t)$ at page 2: The impulse response…
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