Periodic

Fft of non periodic signal

Fft of non periodic signal
  1. Can Fourier transform be used for non periodic signal?
  2. How do you find the frequency of a non periodic signal?
  3. Can Fourier series represent non periodic function?

Can Fourier transform be used for non periodic signal?

Fourier series is defined for periodic signals and the Fourier transform can be applied to aperiodic (occurring without periodicity) signals.

How do you find the frequency of a non periodic signal?

A truly non-periodic signal doesn't have a repeating pattern and as a result the signal only occurs once over any stretch of time. So its frequency is 1 occurence/infinite time or practically 0 Hz.

Can Fourier series represent non periodic function?

No. A property of Fourier transform is that periodicity in one domain corresponds to discreteness in the other. Fourier series is a discrete function, therefore the time domain function must be periodic.

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