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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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Unbalanced binary sequences for system identification?

I have a physical system that I'd like to obtain the frequency response for. I can only provide binary sequences as inputs to the system. Normally, I'd use a MLS (maximal length sequence) and ...
tkw954's user avatar
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1 answer
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Estimating noise power from sensor signal

I'm a beginner in signal processing and a bit lost. I have sensor readings from a load sensor of real system. I want to replicate the noise inherent in the signal in simulink using the Bandlimited ...
greysignals's user avatar
1 vote
2 answers
109 views

Why is white noise uncorrelated for any two different samples?

Consider white noise with spectrum density $N_0/2$, it is known that the autocorrelation is given by: $$R(\tau) = \frac{N_0}{2}\delta(\tau)$$ Meanwhile the definition of delta function in the ...
Harry's user avatar
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Simultaneous removal of all noises in all channels?

Can MATLAB be able to look at all 16 channels of a bio-amplifier simultaneously and look for the common factor which is the noise which affects all channels simultaneously, and the noises removed from ...
Jtl's user avatar
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1 answer
39 views

White noise vs low-pass filters

It seems common that people assume white (aka Gaussian) additive noise. Yet it is also common to use low-pass filters to remove noise. But white noise shows up equally on all frequency bands. So it ...
profPlum's user avatar
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2 answers
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Jitter model does not behave as expected after FFT

So I'm currently trying to understand the relationship between jitter and phase noise. To help my understanding I did write a little simulation in matlab. I used this model in the time domain, relying ...
Maci's user avatar
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0 answers
17 views

How to produce a noise spectrum from an rms velocity specification?

For a dynamic model I am looking at the appropriate input to analyse the performance under the influence of floor vibrations. The norm is an ISO VC-C floor spectrum as displayed in the image. However, ...
Jan's user avatar
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1 vote
2 answers
139 views

What is the best method to filter a signal where baseline and the signal of interest have overlapping frequency range?

I am reading out the movement of a motor arm using a Hall sensor and a magnet pair. The hall sensor measures the distance between the sensor and the magnet. The motor arm is being moved with a band-...
chinmayeelm's user avatar
0 votes
1 answer
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How does the sampling rate of a digital filter limit the sampling rate that can be used for replay of filtered signal?

I need a band-limited white noise to characterize a biological sensor that senses mechanical movement. For that, I am generating a Gaussian white noise (MATLAB Communications toolbox) of length 10 ...
chinmayeelm's user avatar
1 vote
0 answers
90 views

What duration of a white noise burst is required for it to be "white" at a given frequency or frequency range?

I am running white noise bursts (with very short ramps on/off to prevent discontinuities) through underdamped resonant bandpasses which are tuned to any given $f_0$ and an underdamped $Q$. Continuous ...
mike's user avatar
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1 answer
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Why different noise terms are read at specific sampling interval in Allan Variance plot?

I was trying to identify Quantization Noise, Angle Random Walk, Bias Instability, and Rate Random Walk from Allan Variance plot which as Allan deviation on y axis and Sampling Time Interval ...
Mahesha999's user avatar
1 vote
1 answer
84 views

$i^{\text{th}}$-dimensional autocorrelation function

I am referring to the work of Stephen A. Billings on "Identification of a class of nonlinear systems using correlation analysis" from the year 1978, where it is mentioned that the $i^{\text{...
Neuling's user avatar
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3 votes
0 answers
102 views

Implementing a non-causal Wiener filter

I'm attempting to implement a non-causal Wiener filter for removing additive white noise from a measured signal. I've had some trouble and I have reduced my problem to a demonstration on simulated ...
Marc's user avatar
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1 vote
1 answer
128 views

Find the spectral density of the square of white noise with a limited bandwidth

I tried the following order of operations: Let's consider the spectral density of the square of white noise with with a limited frequency band. If $S_{x} \! \left( f \right)$ is the spectral density ...
Raist Majere's user avatar
1 vote
1 answer
78 views

Zero-mean preprocessing before calculating the autocorrelation

I am aware that if we do not subtract the mean value from the white noise at the beginning (if the mean is not equal to 0), that its autocorrelation function will be triangle shaped and not a delta ...
vakula85's user avatar
0 votes
1 answer
43 views

brickwall infra white noise generator

I would like to generate brickwall low pass filtered white noise. a cutoff of 1/n is fine for integer n. I suspect that I could mess around with samples that are convolved with the sinc function, but ...
micsthepick's user avatar
2 votes
2 answers
100 views

Signal power depending on FFT bin size

I have read the following quote from a different post: If the noise is white (spread evenly across frequency), then the power will be distributed equally to each bin, and as we increase the number of ...
Processor48's user avatar
6 votes
2 answers
465 views

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 ...
marco890's user avatar
1 vote
1 answer
71 views

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 ...
Asmodeus's user avatar
1 vote
0 answers
26 views

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. ...
Samalama's user avatar
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1 vote
1 answer
80 views

Discrete Time Filtered White Noise

Theoretically, the variance of a filtered white noise should be: $$\sigma^2 = \int_{-\infty}^\infty \frac{N_0}{2}|H(f)|^2\,\mathrm df = \int_{-\infty}^\infty \text{PSD}_{\text{new}}(f)\,\mathrm df$$ ...
Processor48's user avatar
2 votes
1 answer
243 views

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 ...
Mohamed Osama's user avatar
1 vote
2 answers
63 views

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 ...
user4594525's user avatar
0 votes
0 answers
98 views

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 ...
user4594525's user avatar
1 vote
1 answer
81 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 ...
chinmayeelm's user avatar
4 votes
4 answers
610 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 ...
Royi's user avatar
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1 vote
0 answers
125 views

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 ...
Emm386's user avatar
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1 answer
64 views

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% ...
Jiwon's user avatar
  • 15
3 votes
1 answer
3k views

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 ...
Konchog's user avatar
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1 vote
2 answers
1k views

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 ...
Jiwon's user avatar
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3 votes
1 answer
138 views

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 ...
DetectorNoise007's user avatar
0 votes
0 answers
129 views

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 $\...
Terklton's user avatar
4 votes
2 answers
2k views

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 ...
Rubem Pacelli's user avatar
0 votes
1 answer
93 views

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 ...
EasyOhm's user avatar
  • 113
0 votes
1 answer
234 views

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 ...
Jagerber48's user avatar
2 votes
0 answers
77 views

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 $T$ ...
C David Reinach's user avatar
3 votes
2 answers
224 views

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 ...
Petoetje59's user avatar
3 votes
1 answer
405 views

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 ...
Sreejith's user avatar
6 votes
3 answers
4k views

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. ...
Noha's user avatar
  • 349
2 votes
1 answer
117 views

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 ...
user9875321__'s user avatar
1 vote
1 answer
198 views

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 ...
Elias4l's user avatar
  • 25
1 vote
1 answer
115 views

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 ...
Sm1's user avatar
  • 291
0 votes
1 answer
283 views

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 ...
Deepa's user avatar
  • 315
0 votes
0 answers
225 views

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 ...
spectre's user avatar
  • 575