In the power spectrum, why is the peak frequency at the first harmonic

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Discussion Overview

The discussion revolves around the concept of the peak frequency in the power spectrum, specifically in relation to the first harmonic. Participants explore the definitions of harmonics, their relationship to fundamental frequencies, and the context of time series analysis in astrophysical phenomena, such as the Crab Nebula pulsar.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested
  • Homework-related

Main Points Raised

  • Some participants seek clarification on whether "first harmonic" refers to the fundamental frequency or the first overtone/second harmonic.
  • One participant suggests that if the first harmonic is indeed the fundamental frequency, it is where the most energy is emitted.
  • Another participant mentions that there are cases where higher harmonics can be stronger than the fundamental frequency, citing examples from clarinet acoustics.
  • A participant introduces a scenario where radiation emitted from a rotating source could result in multiple peaks, suggesting a relationship between fundamental and second harmonic frequencies based on output levels.

Areas of Agreement / Disagreement

Participants express uncertainty regarding the definitions and implications of "first harmonic," indicating that multiple competing views remain on the topic.

Contextual Notes

There are unresolved assumptions regarding the definitions of harmonics and the specific physical quantities being measured in the context of the Crab Nebula pulsar analysis.

dave gannon
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TL;DR
I have being doing time series analyse of the crab nebula pulsar and cannot come up with a good answer for this question. any help would be greatly appreciated.
l
 
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Could you be a bit more verbose with your question please?
For instance, does First Harmonic mean Fundamental or does it mean First Overtone - or Second Harmonic? Are you referring to the variation with time? Show a graph perhaps?
 
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sophiecentaur said:
For instance, does First Harmonic mean Fundamental or does it mean First Overtone - or Second Harmonic?
my thoughts exactly :smile:

if @dave gannon is referring to the fundamental freq. then this is where the most energy is being "emitted"D
 
dave gannon said:
Summary: I have being doing time series analyse of the crab nebula pulsar and cannot come up with a good answer for this question. any help would be greatly appreciated.
Welcome to the PF. :smile:

The "first harmonic" is more commonly referred to as the "fundamental" frequency. The harmonics are at 2x and 3x and ...x (integer multiples of) the fundamental frequency.

There are some cases where the harmonics are stronger than the fundamental. I'm not that familiar with such cases, but a simple Google search turned up a number of links to such cases. Here is one such link:

https://www.soundonsound.com/sound-...ocal-parts-harmonics-louder-fundamental-pitch
1574391948359.png
 
If the source is sending out radiation from each end as it rotates there will be two peaks every rotation. If the two output levels are not exactly the same then there will be a small amount of fundamental and a lot of second harmonic.
 
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