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

In summary, the conversation discusses the meaning of the term "first harmonic" and its relation to the fundamental frequency. The harmonics are at multiples of the fundamental frequency, but there are cases where the harmonics can be stronger than the fundamental. The conversation also mentions examples of instruments where higher harmonics can be stronger than the fundamental. The conversation ends with a question about the physical quantity being measured in the time series analysis of the crab nebula pulsar.
  • #1
dave gannon
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TL;DR 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.
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  • #2
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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  • #3
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
 
  • #4
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
 
  • #5
  • #6
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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1. Why is the first harmonic the peak frequency in a power spectrum?

The first harmonic is the peak frequency in a power spectrum because it represents the fundamental frequency of the signal. This means that it has the highest amplitude and contributes the most to the overall shape of the signal. Additionally, the first harmonic is the lowest frequency at which the signal repeats itself, making it a prominent feature in the power spectrum.

2. What is the significance of the first harmonic in a power spectrum?

The first harmonic is significant because it provides information about the fundamental frequency of the signal. This can be useful in identifying patterns and trends in the data, as well as understanding the underlying physical processes that produce the signal.

3. Can other harmonics be present in a power spectrum?

Yes, other harmonics can be present in a power spectrum. Harmonics refer to frequencies that are integer multiples of the fundamental frequency. In a power spectrum, these harmonics will appear as smaller peaks at frequencies that are multiples of the first harmonic.

4. How is the first harmonic determined in a power spectrum?

The first harmonic is determined by analyzing the frequency components of a signal using a mathematical technique called Fourier analysis. This technique breaks down the signal into its individual frequency components, and the first harmonic is identified as the lowest frequency component with the highest amplitude.

5. Can the first harmonic change in a power spectrum?

Yes, the first harmonic can change in a power spectrum if the underlying signal changes. For example, if the fundamental frequency of the signal increases or decreases, the first harmonic in the power spectrum will also shift accordingly. Additionally, if new frequency components are introduced to the signal, the first harmonic may change or additional harmonics may appear in the power spectrum.

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