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1500 questions
8
votes
1 answer
Is there a mathematical method to determine if noise is Gaussian?
Is there a mathematical method to determine if a signal's noise is Gaussian?
The only way I know so far is to analyze the histogram and layover a Gaussian distribution to visually determine if the distribution is Gaussian. I would like to know if…
ChrisB
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8
votes
1 answer
Position of poles and Stability in $z$ domain
We know in Laplace Transform, if the poles lie on the left of $j\omega$ axis, we can say the system is stable. Similarly can we comment on the stability based on poles position in $\mathcal Z$-transform domain?
Chandrahas Balleda
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8
votes
2 answers
Discrete wavelet transform; how to interpret approximation and detail coefficients?
I am trying to understand Wavelet transform. So far I have understood the basic theory of it. But I am not able to get my head around how to interpret both coefficients.
I am using PyWavelets package of python, I have a time-series data for 1 year…
Yash
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3 answers
Replacing "e" in Euler's formula with another number
Does Euler's formula remain valid if we use any real number other than the constant $e$? For example replacing $e$ with 5 would make the formula look like this: $5^{it}$.
I tried this idea in Matlab and replaced $e$ with few other real numbers…
curious
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8
votes
3 answers
Looking for Fastest 2D Convolution in Python on a CPU
Convolutions are essential components of many algorithms in neural networks, image processing, computer vision ... but these are also a bottleneck in terms of computations... In the python ecosystem, there are different existing solutions using…
meduz
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8
votes
4 answers
Discrete Time Signal Property
Property:
The frequency of oscillation of discrete time sinusoids sequence increases as $\omega$ increases from $0$ to $\pi$. If $\omega$ is increased from $\pi$ to $2\pi$ then frequency of oscillation decreases.
My question:
What is meant by…
fpsshubham
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8
votes
2 answers
How are time resolution and signal bandwidth related?
I am confused by the dual concepts of time-resolution and bandwidth. Often I will hear that a pulse-compressed radar application 'doesnt have enough BW' for some specific time resolution that is sought.
Isnt the maximum time resolution simply the…
Spacey
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8
votes
2 answers
Signal processing techniques for an accelerometer signal?
I am running some tests where I am recording accelerometer measurements. I am looking to use elements of signal processing on this signal, but I am unsure about where to begin, or what my approach should be.
My ultimate goal is to be able to…
Gary
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8
votes
6 answers
The Least Norm Solution of Under Determined Linear System
Suppose I have a matrix
$$A=
\begin{pmatrix}
1 & 0 & 1 & 0\\
0 & 1 & 1& 0\\
\end{pmatrix}
$$
where the variables are channel information like assume $X_1$, $X_2$, $X_3$ and $X_4$. Considering the typical least-squares problem
$$Y=…
user59419
- 353
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8
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5 answers
Time-varying "impulse response"
According to many references [1,2], the time-varying "impulse response" can compute wireless channel output $y(t)$ at time $t$ using the following expression:
$$
y(t) = \int h(\tau, t) x(t - \tau) d\tau
$$
In both references, they state that this…
Robert L.
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8
votes
1 answer
Whitened Matched Filter
I am seeking for an advice on whitened matched filtering technique. I have looked into the literature and I do understand its the purpose and how to select the filter in order to achieve the desired response.
However, what I don't understand is that…
Milos Milosavljevic
- 83
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8
votes
5 answers
What is an Intuitive Explanation of the Phase of a Signal
I understand that the meaning of the phase response of a system is simply how much the system delays a frequency component. However, I do not find an intuitive explanation for the phase of a signal. The representation the Fourier transform of a…
hbak
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8
votes
1 answer
What would be the variance for complex number?
When $x$ is a zero mean random variable then
$$\sum_{n=1}^N x_n x_n^T = N \sigma^2_x\,\text,$$
where the variance is $\sigma^2_x$.
I'm considering Complex Normal Distributions where the real and imaginary part are…
Ria George
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8
votes
2 answers
Interpretation of Clarke's Doppler power spectral density
What I understand of Doppler spread is that the relative motion between Transmitter (TX) and Receiver (RX) change the exposing time of signal. In rapport to a constant-distance TX-RX, a moving toward each other TX-RX "compresses" signal in time…
AlexTP
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8
votes
4 answers
The Number of Sine and Cosine Waves in an $ N $ Point DFT
This is bound to be an embarrassingly simple question, but here it goes...
I was reading the chapter on discrete Fourier transforms (DFT) of this really didactic online book, The Scientist and Engineer's Guide to Digital Signal Processing, by Steven…
Antoni Parellada
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