Questions tagged [white-noise]
White noise has constant power spectral density for all frequencies. Because there is no bandlimit to white noise, it has infinite overall power.
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Modelling MEMS accelerometer noise
I am trying to compare two MEMS accelerometers in terms of their noise for ground motion monitoring applications. I would like to take some "clean" data (recorded by good quality ...
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PSD of the sum of two zero-mean white noise signals
I am trying to solve the following exercise, where $y(t)$ is the sum of two signals $x_1(t)$ and $x_2(t)$ with each of them being the product of the convolution of $e_i(t)$ with $h_i(t)$.
So far I ...
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Noise color in multidimensional frequency space - is there an angular effect or dependence?
I understand that if there is a non-constant level of noise in one-dimensional frequency space, e.g. noise variance increasing linearly with frequency gives "blue noise" in the iFFT space. ...
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Discrete Time Filtered White Noise
Theoretically, the variance of a filtered white noise should be:
$$\sigma^2 = \int_{-\infty}^\infty \frac{N_0}{2}|H(f)|^2\,\mathrm df = \int_{-\infty}^\infty \text{PSD}_{\text{new}}(f)\,\mathrm df$$
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Generating time-domain noise from PSD
I have a question regarding generating a time-domain noise from the power spectral density (PSD), this was addressed in this question (How to generate time-series from a given one-sided PSD?) but I ...
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How to determine Transmission Rate for Task Offloading in edge computing?
I am new to communication systems and am working on a model for task offloading on edge computing. One key parameter I'm aiming to determine is the data transmission rate. While I am familiar with ...
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How to calculate capacity using Shannon and path-loss?
I am working on tasks offloading on edge computing. I need to find the transmission delay, through calculating Shannon capacity-theoretical maximum data rate- when sending results from the server back ...
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Why is power level area under the autocorrelation function of the white-noise signal?
A paper I am reading (Linear and Nonlinear Encoding Properties of an Identified Mechanoreceptor on the Fly Wing Measured with Mechanical Noise Stimuli) defines power level for a white-noise signal as ...
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What Is Continuous White Noise in The Context of Signal Processing and Broadly
How can one define Continuous White Noise in a coherent way?
Is there a way to derive it Mathematically?
Specifically, is there a way to define it which will works as the model in Signal Processing ...
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Mean squared error between white noise and colored noise
While studying the whitening filter, I still can't come up with an intuitive and reasonable explanation of why a whitening filter is needed.
As this question and its answer mentioned, I understand ...
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If add white noise to the signal, how much does the std of the noise affect the thd of the signal?
I'm an electrical department student studying signals and systems.
The RMS value of the general AC electrical signal is 6.31V, and the first harmonic value is 6.30932V(rms). (THD is approximately 1.5% ...
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Removing white reflective pixels from scanned RGB image (Python - preferably OpenCV)
The images above are tiles taken from a scanned painting. It's easy to see where there are tiny reflections scattered throughout. I wish to remove (or diminish) the tiny reflections somehow, across a ...
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Why power = variance = rms^2 in the White Noise process?
I'm an electrical engineering student studying statistics.
I saw in an article that White Noise variance = power = rms^2.
Could you explain how this expression is ...
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Where does the following expression for stationary Gaussian Noise come from: $\langle \tilde{n}(f)\tilde{n}(f')\rangle = \delta(f-f')\frac{1}{2}S_n$?
First, the definitions:
Definition (Gaussian process)
A random process $X(t)$ is a Gaussian process if for all time points, $t_1,\ldots,t_n$ the random variables $X(t_1 ),\ldots,X(t_n)$ have a ...
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How to apply chi square formula if the expected value is 0?
My $H_0$ hypothesis is that the N signals I've collected are just white random noise, i.e.:
$H_0: d(t) = n(t)$
I'm then asked to formulate the $\chi^2$ test for this. But according to the formula
$\...
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Is a white noise always zero mean and uncorrelated?
It seems to be silly, but is it possible to deduce mathematically that a white noise is necessarily zero mean and uncorrelated?
I have seen some people defining a white process as a zero-mean and ...
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Reducing Noise Floor by Sampling Larger BW or Noise Shaping White Noise
If I am sampling a sensor with white noise (Johnson) that is the noise floor of the system could I drive the noise floor down by sampling a larger bandwidth than I care about and then using a digital ...
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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 ...
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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 $T$ ...
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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 ...
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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 ...
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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.
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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 ...
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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 ...
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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 ...
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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 ...
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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 ...
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