Questions tagged [causality]
The causality tag has no usage guidance.
9
questions with no upvoted or accepted answers
5
votes
1
answer
501
views
What are the properties of continuous-time improper systems?
I am trying to better understand the properties of improper systems $H(s) = \frac{b(s)}{a(s)}$, for which the order of the numerator $b(s)$ is greater than the order of the denominator $a(s)$ (in the ...
- 51
3
votes
0
answers
82
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Causal and Non-memoryless LTI sytems described by LCCDE
I was wondering about the nature of stable systems (in the BIBO sense) that are causal with memory for which we wish to represent them by LCCDE (if they may exist). How frequent do LCCDE exist such ...
- 129
2
votes
0
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52
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How to determine which measurements cause which?
Suppose I have two sequences of measurements, $x_1[n]$ and $x_2[n]$ for $0 \le n \le N-1$.
How do I determine if there is a causal relationship between the two?
My first thought was, well... I can ...
- 25.2k
2
votes
0
answers
322
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Stability of filters with negative phase delay, group delay, and positive phase
Lets assume I have an IIR filter with :
bz = [1.0195 0 0];
az = [1 0.0166 0.0020];
fvtool(bz,az)
The filter is stable as i can see.
If you check the phase delay ...
- 105
1
vote
0
answers
496
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Region of convergence of transfer function
I posted this question Mathematics SE and got no answer so I have posted it here.
I learned in my signal processing class that an LTI system can be defined using a linear constant coefficient ...
- 121
0
votes
0
answers
44
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Stable and causal system
How many stable and causal systems with the same magnitude response are there?
I know this relates to an all pass system for two rational transfer functions but am not sure about the specifics of this
0
votes
0
answers
22
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Stability of $x(n) = A x(n-1)+b$
I am looking at the following system:
$x(n) = A x(n-1) + b$
where x and b are vectors and A is a matrix. How can I derive the stability and causality conditions for such a system using Z transform?
If ...
- 15
0
votes
0
answers
129
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Discrete Time Systems with cosine()
I am trying to see if
y[n] = [cos(πn)]x[n]
is casual, stable, linear and shift-invariant.
I came up with the solution that it is not stable since it is not "...
0
votes
0
answers
84
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Causal bandpass using fft?
I would like to take a time series of several spikes or narrow Gaussians and bandpass using an ift/ifft together with a frequency domain mask to create a series containing band-limited spikes. This is ...
- 101