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2 votes
0 answers
43 views

How to extract the "matter fluctuation amplitude" from the CMB power spectrum?

How do you convert the value listed in Planck 2018 results. VI. Cosmological parameters, $A_s = 2.101\times10^{-9}$ to the value of the matter fluctuation amplitude $\sigma_8=0.8111$? I tried ...
Finerichmen's user avatar
0 votes
1 answer
33 views

What relationship between the time recording length and the frequency bandwidth?

In model testing for ocean waves, the data recording duration is usually longer the better especially for irregular waves. The recording length shall be long enough to achieve sufficiently small ...
MathArt's user avatar
  • 138
0 votes
0 answers
20 views

Does it make sense to whiten the data in order to apply a matched filtering algorithm if my dataset consist of a sinusoid + random Gaussian noise?

With a Python program I generated a sinusoid signal and I added to it Gaussian noise. Now I want to compute the optimal SNR by applying a matched filtering algorithm. Since the noise is white (at ...
AleNekro97's user avatar
0 votes
0 answers
38 views

How to "classify" signals?

I have some signals and I want to classify them into different types. Signals are all sine shape signals, some might have glitches. I know I could classify them base on frequency or amplitude, but is ...
jjk's user avatar
  • 13
1 vote
1 answer
85 views

Evaluate action of $f(\frac{d}{dx})$ using the Fourier/Laplace transform

Initially I asked this question on mathoverflow. I however thought physicists may face this sort of problem more than mathematicians (I am an engineer). Due to that, I decided to ask here as well. ...
Mirar's user avatar
  • 213
0 votes
0 answers
43 views

FFT on a signal with a length that is not a multiple of the period of its harmonics

I was very surprised to find an apparent limitation to a FFT on a simple signal. Let's consider a timeseries made of L=100 points, and simply composed of the sum of two sinus waves: one with a ...
François Ritter's user avatar
1 vote
1 answer
181 views

Power Spectrum Density of real valued time series data

There are real valued time-series data X(t) and corresponding auto-correlation function ACF(t)=$\left<X(0)X(t)\right>$. As written in wikipedia, Power Spectrum Density (PSD) can be calculated ...
Ji woong Yu's user avatar
0 votes
1 answer
43 views

How do low voltage differential signals transmit bits

For example: There is Din+ connected to pin a1 and Din- to pin a2. Suppose I am sending "0101". How does it get sent? If there was only Din connected to Pin a1, which has a voltage supply to the bank ...
atnd's user avatar
  • 3
0 votes
1 answer
59 views

Subtracting Audio from a Song with Multiple Forms

This question may start oozing into the realm of copyright infringement, but let's discuss the theory first and foremost. I have a song with vocal and orchestral accompaniment from a well-known movie ...
Decaf-Math's user avatar
1 vote
1 answer
422 views

Normalizing temperature data of CPU sensors to ambient [closed]

My scenario: I want my application to stop or take some decision based on temperature. say like if my ambient is morethan 41 i want to switch off the application and we do not have an separate ...
Ragav's user avatar
  • 119
1 vote
1 answer
53 views

Karhunen-Loeve transform of a repeating process

This question is inspired by measurements of an unsteady flow. I have some doubts about interpretation of principal component transform using Karhunen-Loeve theorem. I have (centered $\equiv$ zero ...
Victor Pira's user avatar
  • 2,824
5 votes
1 answer
3k views

White Noise Generator Through Low Pass Filter - Autocorrelation of normalized data dropping below 0 (showing negative correlation)

I am doing the following experiment: http://physlab.lums.edu.pk/images/a/ab/Correlation.pdf It is basically a white noise generator running through a low pass filter. Sample voltages are taken and ...
gline's user avatar
  • 83
0 votes
0 answers
281 views

Measuring typical distance between patches using 2D Fourier Transform

I need to extract information about the typical distance between the black patches in an image like the one I attached here. I tried to perform 2D FFT on it (using OpenCF fdt function in Python), but ...
Ohm's user avatar
  • 133
4 votes
1 answer
1k views

How to determine frequency components present in distorted signal, with the set of possible components already known?

I am trying to choose the best approach to digitally analyse a signal, which is a mix of an unknown number (but less than 16) fundamental signals at specific frequencies (e.g., sines). The goal is ...
b20000's user avatar
  • 141