Magnitude

Magnitude and phase Fourier coefficients

Magnitude and phase Fourier coefficients
  1. How do you find the magnitude of a Fourier coefficient?
  2. What is the difference between phase and magnitude?
  3. What is magnitude in Fourier Transform?

How do you find the magnitude of a Fourier coefficient?

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).

What is the difference between phase and magnitude?

The magnitude corresponds to the frequency of the size wave, and the phase corresponds to where it hits zero.

What is magnitude in 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.

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