Meaning of having powerful signal near to 0Hz

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Discussion Overview

The discussion revolves around the interpretation of a powerful signal near 0 Hz in the context of Fourier transforms applied to accelerometer data. Participants explore the implications of DC components in signals, the appropriate frequency bands for analysis, and methods for signal processing, including the use of wavelets.

Discussion Character

  • Exploratory
  • Technical explanation
  • Mathematical reasoning
  • Debate/contested

Main Points Raised

  • One participant notes that a powerful signal near 0 Hz indicates a strong DC component, which could be due to a voltage offset or gravitational acceleration, depending on the signal's coupling and circuit adjustments.
  • Another participant mentions that it is common practice to remove DC components from data sets before analyzing oscillatory components, suggesting methods such as subtracting the mean or fitting a cubic polynomial.
  • A participant questions why the frequency range for FFT analysis is typically limited to 0-50 Hz when their sensor operates at 100 Hz, leading to an explanation that the highest frequency in an FFT is half the sampling frequency.
  • One participant describes their approach to eliminate signals in the 25-100 Hz range using wavelet transforms and inquires about the usefulness of power spectral density for assessing efficiency.

Areas of Agreement / Disagreement

Participants express varying views on the interpretation of low-frequency signals and the methods for signal processing. There is no consensus on the best approach to analyze the data or the implications of the findings.

Contextual Notes

The discussion includes assumptions about signal processing techniques and the relationship between sampling frequency and frequency analysis, which may not be universally applicable to all contexts.

Who May Find This Useful

This discussion may be of interest to those involved in signal processing, particularly in the fields of engineering and physics, as well as individuals working with accelerometer data and Fourier analysis.

ramesses
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Hello
I computed, with python scipy.rfft, the Fourier transform of signal coming from an accelerometer.
I don't understood what this is the meaning of having a powerful signal near to 0 Hz ?
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It means that there is a strong DC (or near DC) component to the signal. It may just be a voltage offset, or it may be the acceleration of gravity. It depends on how the signal is coupled and how the circuit is adjusted.

When we analyze many different data sets for the oscillatory components (temperature, tides, sounds) we often take a pre-analysis step to remove the DC or near DC components. Sometimes, it is just subtracting the mean of the whole signal. Other times it may be fitting to a cubic polynomial and then subtracting the cubic polynomial from the original signal and then taking the Fourier transform of the oscillatory components.

In any case, graphs are easier to understand if care is taken to preserve the proper units on both the horizontal and vertical axes (frequency in Hz and acceleration in m/s/s, for example).
 
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thank you :)
My last question is about band. My sensor frequency is about 100 Hz
Why do I have to use 0~50 Hz in fft ? Why not to use 0~100 Hz ?
 
ramesses said:
thank you :)
My last question is about band. My sensor frequency is about 100 Hz
Why do I have to use 0~50 Hz in fft ? Why not to use 0~100 Hz ?

The highest frequency in an fft is 1/2 the sampling frequency.

If your sensor is sensitive to 100 Hz, you can increase your sampling rate to 200-1000 Hz and see higher frequencies.
 
I have a sampling of 30 minutes with my sensor with 100 Hz. and I want to reduce eliminate signal in [25~100] Hz.
So what I do is :
I apply for each 100 samples a wavelet of second level.
I put 0 in details, and reconstruct the signal.
Now to see the efficiency, what do I need ?
Is the power spectral density useful in my case ?
 

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