What frequencies are present in the Fourier transform of the Dirac impulse?

1. What is the Fourier transform of the Dirac delta function?
2. What is frequency in Fourier transform?
3. What is the Fourier transform of an impulse?
4. What is the frequency of an impulse signal?

What is the Fourier transform of the Dirac delta function?

The Fourier transform of a function (for example, a function of time or space) provides a way to analyse the function in terms of its sinusoidal components of different wavelengths. The function itself is a sum of such components. The Dirac delta function is a highly localized function which is zero almost everywhere.

What is frequency in Fourier transform?

The term Fourier frequency most usually denotes the frequency of one of several components of a function which may or may not be periodic.

What is the Fourier transform of an impulse?

That is, the Fourier transform of a unit impulse function is unity.

What is the frequency of an impulse signal?

The true impulse has a much different magnitude spectrum. It is a constant value across all frequencies between 0 and f_s/2 Hz. Its phase spectrum is also a constant. As shown in one of the problems, the phase angle is 0.0 degree over the frequency range of 0 to f_s/2 Hz.