All Questions
Tagged with signal-processing linear-systems
9
questions
1
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1
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53
views
How to justify sound propagation is a linear time-invariant (LTI) system?
Background
A linear time-invariant (LTI) system (black box) is one described by the system:
\begin{align}
\dot{\xi}(t) & = A\xi(t) + B\omega(t), \; \xi(0) = 0 \label{eq-abc-1}\\
\lambda(t)...
- 151
1
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1
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419
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Applications of Signal and System theory [closed]
I recently heard a lecture about Signals and Systems and find the subject extremely exciting. I would like to do more in this direction, so I would be interested to know in which modern research area ...
- 91
3
votes
1
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721
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Applying Kramers-Kronig relation to a simple damped oscillator
I just discovered the Kramers-Kronig relation and am trying to apply it to a simple damped oscillator of the form subjected to an impulse at $t=0$, which is a causal system:
$$m\ddot x + c\dot x + k ...
- 734
3
votes
2
answers
6k
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Bandwidth of a control system
Why is it said that larger bandwidth leads to better command following , better disturbance rejection and speedy response , but the practical bandwidth being limited by external noise?
- 31
2
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2
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136
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Why we can assert, in general, that physical processes have the behaviour of low-pass filter?
Consequently, why is it not allowed to produce physically some controllers for processes that are described by a transfer function that is an improper function?
A simple example is the driven ...
- 21
0
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56
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Understanding feedback =1 and comparing with a system with no feedback
I was studying this system
In this V its a Voltage in a circuit and V_c its the voltage in a capacitor, the circuit was not provided, then calculated the step response (well I was told the step ...
- 183
0
votes
2
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218
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Example of transfer function and driving signal equation
In a text I am using it states that for linear dynamical systems, there is a very simple relationship between the power spectrum of the driving signal and that of any one of the system variables. If ...
user165535
1
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1
answer
47
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How to plot these signal
I am very confused when it come to multiplied of function.
Like if it 2rect(t/2)+cos(6πt) I'm okay.
But when it come to something like x(t) = 2rect(t/2)cos(6πt), x(t) = sinc(2t)rect(t/2)
Can ...
- 13
12
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3
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Can the Kramers–Kronig relation be used to correct transfer function measurements?
In experimental physics, we often make measurements of linear transfer functions; these are complex-valued functions of frequency. If the underlying system is causal, then the transfer function must ...
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