Square

Fundamental component of square wave

Fundamental component of 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…).

  1. How do you find the fundamental frequency of a square wave?
  2. How many frequency components make up a square wave?
  3. Does a square wave have a DC component?
  4. What is the FFT of a square wave?

How do you find the fundamental frequency of a square wave?

The fundamental frequency (f in Hz) of a square wave is f=1/T, where T is the square wave's period in units of seconds.

How many frequency components make up a square wave?

The ideal square wave contains only components of odd-integer harmonic frequencies (of the form 2π(2k − 1)f). Sawtooth waves and real-world signals contain all integer harmonics.

Does a square wave have a DC component?

There is no such thing as the DC value of a square wave. You can talk about the mean or average value. Of course, if you look at it in the frequency domain, you could say it has a 'DC component'.

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.

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