Thanks.Orodruin said:It is not really clear to me what your question is. Do you mean to ask what is the difference between two functions whose FTs differ by some constant or how different amplitudes in the same FT affect the result?
Sorry, but this is still not clear. If you have sine waves of different frequencies, each will lead to a peak at the corresponding frequency, the height of that peak will correspond to the amplitude of the sine wave, but the fact that frequencies are similar or not plays no role here.Behrouz said:Thanks.
I mean the effect of different amplitudes (for similar frequencies) in the same FT.
Behrouz said:what if the result has same sin waves with similar frequencies, but different amplitudes; are they going to be summed up (added/subtracted) in the final result?
A Fourier transform is a mathematical tool used to decompose a function into its constituent frequencies. It allows us to analyze the frequency components of a signal or function.
A Fourier transform treats each frequency component independently, regardless of its amplitude. This means that signals with the same frequencies but different amplitudes will have distinct frequency components in their Fourier transforms.
Yes, a Fourier transform can be applied to both periodic and non-periodic signals. However, the interpretation and analysis of the frequency components may differ for non-periodic signals.
The Fourier transform of a signal represents the frequency content of that signal. It tells us which frequencies are present in the signal and their respective amplitudes and phases.
Fourier transforms have a wide range of applications in various fields such as signal processing, image and audio compression, data analysis, and physics. They are used to analyze and manipulate signals in order to extract useful information and insights.