Amplitude spectrum vs frequency spectrum

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Discussion Overview

The discussion revolves around the differences between amplitude spectrum and frequency spectrum within the context of signals and systems. Participants explore definitions, interpretations, and the relationships between these concepts without arriving at a consensus.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • One participant suggests that the frequency spectrum can be divided into amplitude and phase spectra, indicating that it consists of complex numbers representing both aspects.
  • Another participant proposes that the frequency spectrum is a plot of frequency versus power, typically measured in decibels, while the amplitude spectrum displays amplitude instead of power, noting that amplitude is proportional to the square root of power.
  • A further contribution mentions that the term "Frequency Spectrum" may be redundant based on a strict interpretation of spectral definitions, yet acknowledges its common usage in engineering contexts.
  • There is a suggestion that an amplitude spectrum could represent an 'amplitude versus time' relationship, indicating a potential overlap or confusion in definitions.
  • Participants note that the terms are somewhat ill-defined in general usage, allowing for ongoing discussion and differing opinions.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the definitions and distinctions between amplitude spectrum and frequency spectrum, with multiple competing views and interpretations presented.

Contextual Notes

Participants highlight that the terms are not strictly defined, which may lead to varying interpretations and assumptions about their meanings in different contexts.

whatphysics
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What is the difference between amplitude spectrum and frequency spectrum? In signals and systems.
 
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I THINK, not super sure, that frequency spectrum can be split up as an amplitude spectrum and a phase spectrum.
A frequency spectrum is a spectrum of complex numbers containing both amplitude (magnitude) and phase.
 
whatphysics said:
What is the difference between amplitude spectrum and frequency spectrum? In signals and systems.
I think a frequency spectrum is a plot of frequency versus power (usually in decibels, in engineering). The power will be measured in a narrow passband which is swept across the spectrum,.
An amplitude spectrum is perhaps the same thing where amplitude, not power, is displayed.
Amplitude is proportional to the square root of power.
 
Spectrum is something that can vary across a continuous range, or continuim.
See: https://en.wikipedia.org/wiki/Spectrum
A strict interpretation of the WIKI article would imply that "Frequency Spectrum" is a redundant phrase. Frequency Spectrum is, however, a commonly used engineering term for power versus frequency.

Following along with the above, is a WIKI article on Spectral Density: https://en.wikipedia.org/wiki/Spectral_density

Combining the concepts in the above article seems to lead to an "Amplitude Spectrum" being an 'amplitude versus time' relationship.

(Since the terms you asked about are rather ill-defined in general usage, there is still plenty of room for discussion/opinion/argument!)
 

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