Questions tagged [physical-units]
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22 questions
0 votes
1 answer
59 views
Correct unit for transfer function
I am trying to calculate the transfer function between one sensor with velocity timeseries data $y(t)$ and a witness sensor $x(t)$ which monitors position. Both sensors output data in volts, with a ...
3 votes
2 answers
488 views
Why the inconsistency: Cycles/sec, Hz, Radians/sec, Cycles/sample, Radians/sample
In continuous time we refer to frequency as "cycles/sec" and then for that created equally the reference "Hz". Then in angular units we have "radians/sec". Mapping to ...
1 vote
1 answer
164 views
FFTs, Spectrograms, and Units
I am new to signal processing and I have likely a very easy question but I have found inconsistent answers everywhere. When performing an FFT, does it matter what units the amplitude is in? Currently ...
6 votes
3 answers
2k views
Units of 6.02*N + 1.76 as an FFT noise floor
I'm working on estimating the FFT noise floor for a data acquisition system my colleagues and I are designing. I've read MT-001 several times. In general, I think I get it. However I'm a little stuck ...
0 votes
0 answers
46 views
How to convert in site spectra to satellite spectra?
I want to convert the in situ reflectance into satellite reflectance using SRF (Spectral response function). I have downloaded the SRF file but I find that the bands wavelengths are different than in ...
1 vote
0 answers
354 views
What is the unit of velocity calculated using Savitzky–Golay filter?
I have data from an eye tracker collected while subjects were doing a saccadic task (i.e. fast eyes movements). Specifically, I have the position (in degree) on the x and y axes, collected at 120Hz. ...
0 votes
1 answer
196 views
Creating the frequency-spectrum with VC-curves for Building Vibrations measurement
I'm very new to signal processing and can't get ahead: I'm using an Accelerometer to measure the acceleration of i.e. the building vibrations or elements/machinery etc. For creating the spectrum, I ...
1 vote
1 answer
1k views
Fourier Transforms, Convolution, Cross-correlation: what is their physical unit exactly?
Let us assume we are talking about real, deterministic, electrical signals $x(t)$ and $y(t)$ (magnitude in Volts). There are different kind of Fourier Transforms. I made a table to summarize: NB: By ...
2 votes
3 answers
809 views
Making the units of a analytically calculated PSD consistent with the units of an FFT
One thing that has always puzzled me is making the units of an analytically derived Power Spectrum Density (PSD) consistent with the units of an FFT. Let's say we record the output of a frequency ...
1 vote
1 answer
86 views
Changing units in Fourier filtering
I'm applying a radial low-pass filter on a $H{\times}W$ pixel 2D image $I$ where $H \neq W$. To implement this filter, I apply 2D DFT to $I$ to produce $I'$, the $H{\times}W$ frequency domain ...
0 votes
1 answer
43 views
Loss of precision due to low-pass filtering in physical units
Suppose I have a $10{\times}10$ pixel image, where each pixel represents 1 mm in physical units, and I apply a Gaussian low-pass filter with $\sigma = 5$. Can I make any statements such as "the ...
-1 votes
1 answer
105 views
Correct way of viewing negative voltages in units of dB for noise analysis
I have a voltage signal, on top of which there is some noise. I am interested in the noise components so the way I am trying to do this is to fit the known signal to the data and look at the residuals....
2 votes
2 answers
2k views
Unit of Energy Spectral Density
The continuous-time Fourier Transform (CTFT) of a signal $x(t)$ (with unit $unit$) is: $$X(\omega)=\int_{-\infty}^{\infty} x(t)e^{-i\omega t}dt$$ which should be in $unit\cdot sec$ or $\frac{unit}{...
0 votes
1 answer
60 views
What are the ranges of values for each audio feature/descriptor?
I need to normalize some audio feature measurements I've done with the software Wolfram Mathematica. Coming from a non signal processing background, I have some difficulties understanding what ...
2 votes
1 answer
338 views
Units for a PSD from square of FT?
If I am looking to do a PSD plot on a signal $x(t)$ with units $m$ then the units I am expecting in the PSD would be $\frac{m^2}{Hz}$ but I can't seem to get this result from the following reasoning: ...