Magnitude

Fourier transform of the magnitude of the fourier transformed signal

Fourier transform of the magnitude of the fourier transformed signal
  1. What is the magnitude of a Fourier transform?
  2. How do you find the magnitude of a Fourier series?

What is the magnitude of a Fourier transform?

For each frequency, the magnitude (absolute value) of the complex value represents the amplitude of a constituent complex sinusoid with that frequency, and the argument of the complex value represents that complex sinusoid's phase offset. If a frequency is not present, the transform has a value of 0 for that frequency.

How do you find the magnitude of a Fourier series?

Alternatively, the signal y(t) may be described by the magnitudes Dn and the phase angles φn: where the magnitude and the phase angle can be calculated from the Fourier coefficients as follows: φn = tan-1 (Bn/An). The following interactive example shows you how to combine sines and cosines to form a signal y(t).

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