**11151997satyam@gmail.com**

Unregistered

07-02-2021, 05:24 PM
hello there

iam a undergraduate student of mechanical engineering from india

for validation of my experimental data iam using

phyphox accelerometer spectrum in which

a graph is plotted between FFT mag (a.u) and frequency

iam not able to understand the y axis data

can any one please tell me

how can i convert it in db(decibels) or any other common unit magnitude of frequency
Posts: 539

Threads: 24

Joined: Apr 2020

Institution: RWTH Aachen University

**11151997satyam@gmail.com**

Unregistered

(07-05-2021, 03:34 PM)Jens Noritzsch Wrote: Do perhaps these threads, https://phyphox.org/forums/showthread.php?tid=1193 or https://phyphox.org/forums/showthread.php?tid=1217, answer your questions?

i do understand that a.u means arbitrary unit

but what does it signifies?

can it converted to decibels? if yes how, because i have never read about

arbitrary unit

i have to quote in a research paper

so i have to be sure about this

please suggest any other way for understanding this

Posts: 539

Threads: 24

Joined: Apr 2020

Institution: RWTH Aachen University

I hoped that these questions would be already answered in the threads: “Fourier transforms are not uniquely defined and may vary by a constant factor, so attributing a definite unit to the result does not make much sense.” and “The Fourier transform of the recorded acceleration gives you an impression of the relative intensities of frequencies, that's why it is given in arbitrary units (a.u.). If you put your smartphone on a washing machine rotating at 1200 rpm, you would see a sharp peak at 20 Hz, for instance.” (supposing you know what an FFT is)

Anything could be converted to decibels: at the end it is just a relative data unit for a logarithmic scale. So, if you define a reference value in a (best) fixed frequency experiment you could invent your own decibel scale…

**11151997satyam@gmail.com**

Unregistered

(07-05-2021, 08:32 PM)Jens Noritzsch Wrote: I hoped that these questions would be already answered in the threads: “Fourier transforms are not uniquely defined and may vary by a constant factor, so attributing a definite unit to the result does not make much sense.” and “The Fourier transform of the recorded acceleration gives you an impression of the relative intensities of frequencies, that's why it is given in arbitrary units (a.u.). If you put your smartphone on a washing machine rotating at 1200 rpm, you would see a sharp peak at 20 Hz, for instance.” (supposing you know what an FFT is)

Anything could be converted to decibels: at the end it is just a relative data unit for a logarithmic scale. So, if you define a reference value in a (best) fixed frequency experiment you could invent your own decibel scale…

ok i think i now able to understand this little bit

it would help me a lot if you please mention some place where i can read more on this

thankyou for you generosity and help sir.

Posts: 539

Threads: 24

Joined: Apr 2020

Institution: RWTH Aachen University

07-06-2021, 11:00 AM
(This post was last modified: 07-06-2021, 08:24 PM by Jens Noriʇzsɔɥ.)
I have seen that you also commented on the final video of our spectra series. Have you watched the

second part that goes a bit into detail on Fourier series (Fourier transformations could be understood as a generalisation for non-periodic functions)?

Textbooks on oscillations should typically cover Fourier series and transformations. I personally prefer physics over math introductions in this topic as they are more “vivid”. For a start, Wikipedia should do, too.

… or have I missed the point where you need clarification?