DFT and perfect reconstruction of a square wave on a digital computer

1. What is the DFT of a square wave?
2. What is the FFT of a square wave?
3. What is DFT in digital signal processing?
4. What is DFT explain with example?

What is the DFT of a square wave?

Therefore the DFT of a square wave (half on, half off) is a sinc function that crosses zero every other frequency. “The DFT of a square is a sinc and the DFT of a sinc is a square.” A sinc is the DFT of a square wave, but it is the inverse DFT of a square wave as well!

What is the FFT of a square wave?

In the frequency domain, the overall average of a signal is its content at DC or 0Hz -- so that's why there's a peak at 0Hz. The FFT of a square wave that is centered on 0V has energy at every odd harmonic, starting at 1.

What is DFT in digital signal processing?

The Discrete Fourier Transform (DFT) is of paramount importance in all areas of digital signal processing. It is used to derive a frequency-domain (spectral) representation of the signal.

What is DFT explain with example?

the DFT spectrum is periodic with period N (which is expected, since the DTFT spectrum is periodic as well, but with period 2π). Example: DFT of a rectangular pulse: x(n) = 1, 0 ≤ n ≤ (N − 1), 0, otherwise.