Questions tagged [white]
11 questions
6
votes
3 answers
White Gaussian Noise Spectrum and Power
White Gaussian noise has constant power spectral density $N_0/2$. I know that the area under the power spectral density curve between two points gives the power of the signal between these two points.
If I want to know the power of a certain…
Noha
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3
votes
2 answers
Why does adding white noise improve the calculation of frequency of a sine wave in the time domain?
I created short audio files with a sine wave (tone) having a set frequency, and added varying white noise to it generated by a random number generator.
I wanted to code and test the simple algorithm described in IEEE-STD-1057 & 1241 to calculate the…
Petoetje59
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3
votes
1 answer
Variance of Integral of a real white Gaussian Noise Process
In this question, is the answer not equal to infinity ? Answer is mentioned as 6. But my doubt is cant we think of it like a linear combination of many independent random variables each having infinite variance, so the resulting random variable…
Sreejith
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2
votes
0 answers
White noise does not contradicts Wide Sense Stationarity?
I am studying White Noise. But I am really beginner level, so I have a confusion with its construction.
White Noise is usually defined as a Wide Sense Stationary process $N=\{N_t\}_{t\in T}$ (for $T$ a time index set), that have a constant PSD, say…
C David Reinach
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1
vote
1 answer
Fast ICA : recover the sources with their mean after prewhitening
I want to apply the FastICA algorithm on a certain dataset. I believe the sources the Fast ICA can recover are able to explain other data as well (in similar way to factor analysis). However, I also believe the mean of the data contain valuable…
Matteo
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1
vote
1 answer
White gaussian noise analysis deduction
I´m stuck in a deduction analysis of the variance of a gaussian white noise signal in a "integrate-and-dump detector" of a baseband data transmission receiver, where $n(t)$ is white noise with double-sided power spectral density $N_0/2$ [W/Hz]
I…
Elias4l
- 13
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1
vote
1 answer
nature of output of the addition of white noise with colord noise
I want to know that the addition of a uncorrelated time series x with a correlated time series, say y generates a time series but is that correlated or uncorrelated output? For example: x is White Gaussian noise and y is pink noise, then z = x+y…
Sm1
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0
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1 answer
Predicting distribution of integral of random process from power spectral density?
Suppose I have a random process $X(t)$ and I know the power spectral density of $X(t)$, $S_{XX}(f)$.
What can be said about the distribution of $Y(t) = \int_{t'=0}^T X(t') dt'$?
Bear in mind I have a physicists background and little formal knowledge…
Jagerber48
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0
votes
0 answers
Adaptive removal of structured noise
I am trying to use a scanner with vertical banding. The scan head's black and white point calibration numbers have a modulation pattern on top of them. I am not sure if the calibration's banding is what causes the modulation or vice versa.
Is there…
Christian Chapman
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0
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1 answer
Why is the error between the desired signal and estimated signal in the case of LMS filter remaining constant even after n number of iterations
I am giving white noise as input to an adaptive filter which is initialized to zero (value of filter coefficients of adaptive filter is 0). I am getting a desired response $d(n)$ by passing white noise through an unknown channel of impulse…
Deepa
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0
votes
0 answers
Least square error channel estimation in the presence of AWGN noise
I want to implement Least Square (LS) channel estimation method in the presense of AWGN noise in MATLAB.
$y(n) = x(n) * h(n)$
$Y(k) = X(k)H(K)$
Y(k) is the received signal in frequency domain. According to LS algorithm, to estimate the channel …
spectre
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