Fourier transform of square wave

1. What is the Fourier transform of square wave?
2. What is Fourier transform of a square pulse?
3. How do you find the harmonic of a square wave?
4. How do you approximate a square wave?

What is the Fourier transform of square wave?

Example: Fourier Transform of Square Wave

n, below (in this case the coefficients are all real numbers - in the general case they would be complex). Using the result derived previously, the Fourier Transform of the function is. XT(ω)=+∞∑n=−∞cn2πδ(ω−nω0)=2π+∞∑n=−∞0.8sinc(0.8n)δ(ω−nω0)=1.6π+∞∑n=−∞sinc(0.8n)δ(ω−nω0)

What is Fourier transform of a square pulse?

The Fourier transform of a continuous periodic square wave is composed by impulses in every harmonic contained in the Fourier series expansion. Maybe this picture from Oppenheim's Signals and Systems may help. The actual Fourier transform are only the impulses.

How do you find the harmonic of a square wave?

A square wave consists of a fundamental sine wave (of the same frequency as the square wave) and odd harmonics of the fundamental. The amplitude of the harmonics is equal to 1/N where N is the harmonic (1, 3, 5, 7…). Each harmonic has the same phase relationship to the fundamental.

How do you approximate a square wave?

A square wave can be approximated by adding odd harmonics of a sine wave.