Removing sawtooth wave from DFT transform [duplicate]

1. What happens if we apply DFT twice to a signal?
2. Why is DFT mirrored?
3. Is a sawtooth wave an odd function?
4. What is the formula for sawtooth wave?

What happens if we apply DFT twice to a signal?

Applying the DFT twice results in a scaled, time reversed version of the original series. The transform of a constant function is a DC value only.

Why is DFT mirrored?

Because both the positive and negative frequency sinusoids are 90 degrees out of phase and have the same magnitude, they will both respond to real signals in the same way.

Is a sawtooth wave an odd function?

A periodic function which is odd is the saw-tooth wave in Figure 15. Some functions are neither even nor odd.

What is the formula for sawtooth wave?

The sawtooth wave is defined to be –1 at multiples of 2π and to increase linearly with time with a slope of 1/π at all other times. x = sawtooth( t , xmax ) generates a modified triangle wave with the maximum location at each period controlled by xmax .