# 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. ...
• 111
1 vote
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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 ...
1 vote
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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 ...
47 views

### 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 ...
505 views

### 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% ...
• 15
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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 ...
• 161
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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 ...