Questions tagged [white]

11 questions
6
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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
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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
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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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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…
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 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
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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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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
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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…
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…
0
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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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