Negative

Ft and DTFT of negative frequency

Ft and DTFT of negative frequency
  1. What is negative frequency in Fourier transform?
  2. Why are there negative frequencies in FFT?
  3. What does it mean when frequency is negative?

What is negative frequency in Fourier transform?

Also, Noteworthy is the point that a negative frequency is the rotation vector in the opposite direction to the positive frequency. For example it is necessary to have a real (non-complex) signal. Then we have two vectors rotating in opposite directions.

Why are there negative frequencies in FFT?

The reason is that the Fourier transform is symmetric about the y-axis, because the Fourier transform is mathematically defined on the interval (-Inf,Inf). The actual Fourier transform therefore has negative frequencies.

What does it mean when frequency is negative?

Negative frequency is an idea associated with complex exponentials. A single sine wave can be broken down into two complex exponentials ('spinning numbers'), one with a positive exponent and one with a negative exponent. That one with the negative exponent is where you get the concept of a negative frequency.

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